diff --git "a/data/dm_maths/full_data/10535_11255.jsonl" "b/data/dm_maths/full_data/10535_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10535_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 6:12 PM and 1:40 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(590\/(-295))\/(-5*(-18)\/330)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124413002 (base 5) in base 14?\nAnswer: -122dd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/7)*s*((s\/(s*s\/s**(-4)*s*s))\/s)\/s)\/(s**(3\/2)*s*s\/(s*s**(-2\/5)*s*s)) assuming s is positive.\nAnswer: s**(-583\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -550588285*c**3 + 265201987 wrt c.\nAnswer: -1651764855*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 + 14604*b**3 - 264168*b**2 = 0 for b.\nAnswer: -3669, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/235 (b) -24 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24209091, 24209086, 24209095, 24209124, 24209179?\n\"Answer: d**3 + d**2 - 15*d + 24209104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + 2\/8. Suppose -3*v + 9 = k, 0 = -s + 4*v - 2 + 19. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354492487 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.93267 nanometers to micrometers.\nAnswer: 0.07393267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1021011011 (base 3) to base 9\nAnswer: 37134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 2*a - a**2 - 9*a**2 + 8*a**2 to d + h*a**3 + r*a**2 + y*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -166, -4, -2, -1, -275.\nAnswer: -275, -166, -4, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -232, -514, -918, -1450, -2116, -2922?\nAnswer: -3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 15. Let c be r(12). Let q = c - 3. Suppose -5*j = s - q*s + 11, -3*s = -4*j - 24. Let y(w) = -2*w**2 - 3*w + 2. Determine y(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (9 - (-19 - -19)) + -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (m + m - m)*(4 - 3 + 1) + 2 - 2 - 3*m + 0*m - m - m - 6*m + 10*m + 6*m + 6*m - 5*m + 0*m as p + y*m and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/4)\/(4 + -3). Let r be (-6)\/(-14)*(7 + b). Sort 7, r, 0 in descending order.\nAnswer: 7, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -121?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than 218\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/27 + (4 - 114\/27).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.41 + 2.59. Let q = 1 - 0. What is the nearest to q in 1, -4, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6563 + -5723. Calculate the lowest common multiple of t and 1080.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9926 (base 10) to base 13.\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugfoouo. Give prob of picking 1 f and 2 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -264?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(6\/(-3) - -3). Suppose 29 = -11*d - 15. Sort v, 1, 0, d in increasing order.\nAnswer: d, v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -67629411?\nAnswer: 67629413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -2\/5*v**5 + 0*v**4 + 0*v**3 + 3\/2*v**2 - 2 + 0*v. Find the second derivative of l(i) wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 3*x**4\/4 - x**3 - 3*x**2\/2 + 3*x + 2. Factor m(r).\nAnswer: 3*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2595 + -7781\/3. Put -4, -4\/3, l, 0 in ascending order.\nAnswer: -4, -4\/3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.096 and -0.0946475356.\nAnswer: -0.1906475356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 31*o**2 + o - 13. Let u be a(31). Which is bigger: 176 or u?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270\/12 + (-1)\/2 and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.943283 rounded to one decimal place?\nAnswer: 114.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241 - 117. Let y = g + -120. What is the second derivative of z + 4*z**y + 2053*z**2 - 10*z**4 - 2050*z**2 wrt z?\nAnswer: -72*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -42. Let h be (i\/(-75))\/((-2)\/5). Factor 2*k**3 + k + 0*k**3 - 2*k**h - k**3.\nAnswer: -k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h - 7591863 - 3184200 - 2675766 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5468 and 18?\nAnswer: 49212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -8.61484.\nAnswer: -8.71484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 140. Let g be r(-35). Let v be (60\/(-35) - g)\/(18\/(-189)). Calculate the greatest common divisor of 78 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -43*t - 197. What is the least common multiple of p(-7) and 195?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-14)*3\/12.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 82 - 29 = -79*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681580 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 117*c**2 - 4*c + 1178. Let f(j) = 5*j**3 - 584*j**2 - 21*j + 5894. Let x(u) = 4*f(u) - 21*o(u). Find the first derivative of x(b) wrt b.\nAnswer: -3*b**2 + 242*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117111 (base 11) to base 14.\nAnswer: -4b686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*t + 192*t + 4 - 57 - 331*t.\nAnswer: 88*t - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 0*f - 2*f. Let t(g) = g**2 - 4*g. Determine -4*l(b) - t(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6232974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 608 + -1473. Let o = -563 - z. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 33 = -4*r + u, 5*r + 5*u + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:50 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 7*n + 36.\nAnswer: 7*n + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1100) - (1 + -5*sqrt(1100)) - sqrt(1100)) + -2 + 0 + sqrt(1100) + (sqrt(1100) + -4 + sqrt(1100))**2*6).\nAnswer: -2700*sqrt(11) + 79479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljl. Give prob of sequence jll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -1\/24*w**4 - 1\/2*w**2 + 0*w + 1 + 1\/120*w**6 - 1\/6*w**3 + 1\/60*w**5. Let v(a) be the second derivative of i(a). Factor v(k).\nAnswer: (k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178497 is divided by 846?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 9:04 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 9054?\nAnswer: 117702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + 0*j**2 + j**2)*(-375*j + 26222 - 26222) to the form k*j + b*j**3 + p + i*j**2 and give b.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -574\/13 bigger than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 78. Let m(u) = 2*u**2 + 6*u + 1. Let h be m(-3). Which is the second smallest value? (a) -1 (b) p (c) h (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 5*i + 43 + 37, 4*i + 24 = 10*d + 64 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 7*i**2 - 5*i - 5. Let j be b(-6). Let w be (j\/3)\/((-1)\/3). Suppose 130 = d + w. What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1\/16, 10\/923, 1\/12 in descending order.\nAnswer: 1\/2, 1\/12, 1\/16, 10\/923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(10\/9))\/(17*(-1)\/(-85))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1620))\/(5*(sqrt(10) - (sqrt(10) - sqrt(360)))).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Suppose 3*m - 50 = -2*p, -3*p + 38 = 2*m - 4*p. What is the third derivative of 7*a**2 + a**2 - a**2 - m*a**v + a**2 wrt a?\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) 0.5 (d) 0.4 (e) -0.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 7 + 24 - 9 - 94*x.\nAnswer: -94*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5 - 120*c**4 - 795*c**3 + 15390*c**2 + 102060*c - 857304 = 0?\nAnswer: -18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 101 + 173 = 0. Let h be 14\/(-119) - 6124\/(-34). Calculate the highest common factor of h and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/7 + 1067*h - 7468\/7 = 0. What is h?\nAnswer: 1, 7468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*s + 7*s - 6*s + 196 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.66493 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*o - 3*r, r + 3 = o + 1. Suppose o*k + 0*k = -4*q, 2*k = -q + 4. Solve -15 = -k*m + 7*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25b (base 16) to base 2.\nAnswer: 1001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 + 6 = 0. Solve 0 = a*d + 3*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*q + 62*q + 66*q - 8 = -3*d, 21*q + d - 48 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(343).\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 551 + 38?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 8*n**2 + 0*n**2)*(-18*n + 3*n - 4*n)*(0 + 0 + 2*n).\nAnswer: -190*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5445665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + (sqrt(1377) - (2 + sqrt(1377))) + 1 + 3)**2 + (6*(sqrt(68) - -1*sqrt(68)) + sqrt(68))\/((sqrt(192) + sqrt(12))\/sqrt(3)).\nAnswer: 193*sqrt(17)\/5 + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170444359 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12339.917 + 12398.91711. Let w = 59 - h. What is w rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 + 597*g**3 + 33633*g**2 + 623427*g + 2349060 = 0 for g.\nAnswer: -119, -47, -28, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:23 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/3)\/(7\/(13268 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-50)\/(-60)))\/(-16)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 - 140*g**2 - 168*g + 864 = 0?\nAnswer: -3, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - f + 1. Let i be w(1). Suppose -i*s + 3*s - 1 = 0. Suppose 0 = 3*y - 12 + 3. What is the greatest common divisor of y and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - v - 4)*(3 + 14 - 8)*(-3*v**2 + 13*v**2 + 8*v**2)*(-3*v + 2*v - v) to t*v**4 + x + o*v**2 + p*v + u*v**3 and give t.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 + (-4)\/(-2). Let f(g) = g**2 - g. Let c be f(2). Let t(d) = -10 + 2*d + 2 - 3*d + d**c. Give t(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3*l**(1\/32) assuming l is positive.\nAnswer: l**(97\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or 27.242?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ililwlk. Give prob of sequence kw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -753*f**4 - f**2 + 751*f**4 - 17*f**3 + 2*f**3 to n*f**4 + a + u*f**2 + r*f**3 + o*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258 + -170. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*a + 37, -3*a + 48*x - 8 = 53*x for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g = -5*v - 26, 8 = -4*v. Calculate the remainder when -1 + (10 - -1) + 1 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5017\/1136 + -318\/71. Let f = -7 - -10. What is the fourth biggest value in f, 5, w, 2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3\/6 - 4. Factor z(a).\nAnswer: a**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 34 = -244. Suppose -g - 35 = 2*r, 3*g - 2*r = r - l. What is the tens digit of 220\/7 + 15\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/20 - p**4\/3 + 3*p**2\/2 - 3*p. Let a be r(-5). Let f = 665 + -581. What is the greatest common factor of f and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w - 65 - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58622410 divided by 6.\nAnswer: -29311205\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24701 - 24415. What is the least common multiple of 2 and r?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose k - w = -3*l, -k + 4*l = -3 - 13. Suppose -k*j + 259 = -277. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:48 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.29 (b) 0.3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -11 (c) 1253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*c = -242 + 270 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2013265 or -2013263?\nAnswer: -2013263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/24 + 61*x**2\/2 + 50*x. Let o(c) be the first derivative of h(c). Let u(t) = -t + 6 - 6. Give o(u(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137651870 by -27530374.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 747*g + 0 - 779*g + 0 + 0.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 126*g - 1382. What is i(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -30*r + 115 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -147. Calculate the highest common factor of z and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 55673, 5 in descending order.\nAnswer: 55673, 5, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -3*f**4\/2 - 4*f**3\/3 - f**2\/2 - 3*f + 5. Let x be q(-3). Calculate the highest common divisor of 21 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-10) + (-8)\/(-20). Suppose -w - w = -r - 119, t*w + 2*r - 168 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 22759716*u**2 + 45519426*u + 22759712 = 0. Calculate u.\nAnswer: -11379856, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from bcbbrbbkcbbkbbbkbbn.\nAnswer: 66\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**4\/4 - b**3\/6 - 2*b**2. Let k(q) = 19*q**3 + 2*q**2 - 1. Calculate the remainder when k(1) is divided by j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {a: 1, e: 4, x: 5, c: 5}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/35)\/((-6)\/(-45)). Let o = -15 + 11. What is the nearest to 0.1 in -3, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 + 3*t - 3. Let k(j) = 6*j**2 - 4*j + 4. Suppose 19 = 5*x - 1. Determine x*c(n) + 3*k(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Let q be 2\/3 + -4 + u. Which is the nearest to -1? (a) q (b) -1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 17.6.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 66. Let v be r(24). Suppose v*j = -257 + 221. Is -16\/3 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n - 0. Suppose 2*m + 11 = n*m. Let k be (-1 - 7) + -32 + 43. Solve -m + 2 = k*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*d + 42*d + v + 4, -4*d - 4 = -29*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -542.1 - -623. Let i = d - 7.9. Let w = i - 72.915. What is w rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 7:08 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-6))\/(2\/9). Let j = f - -9. Suppose 24*i**4 + 4*i**2 + 0*i**2 + 33*i**j + 18*i**5 - 7*i**3 + 24*i**4 = 0. Calculate i.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 77. Let j = r + -29. Calculate the least common multiple of 9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 89193 and -1487 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzw. Give prob of sequence wza.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1228373 (base 14) to base 8.\nAnswer: -41151221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4968 - -1.5968. Sort 0, 1\/4, -1, -10, g in increasing order.\nAnswer: -10, -1, 0, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25995.\nAnswer: 3, 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18\/9 - (-310)\/(-372)*(-6)\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 13*g**2 - 25*g - 16. Let j be v(-11). Let x(i) = 2*i - 28. Let z be x(j). Solve -16 = 5*w - 2*u, -z = -7*w + 4*w - 4*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7354 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26964383?\nAnswer: 26964383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/36 + 25\/6. Solve 7 = -c*k - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121783464 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.20949 - 0.18949. What is the smallest value in -0.4, s, -4, 18\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + j + j**2 - 2*j**2)*(1 - 1 - j).\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1.81, -1.6919, 9\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 + 0*h**2 + 3*h**2 + 5*h**2 - 5*h**2 + h**2 + (-1 - 2*h + 1)*(-2*h - 2*h + 2*h) + 4*h**2 - 2*h**2 - h**2 - 2*h**2 + h**2 + 0*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12524547193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**8\/2520 - b**5\/30 + b**2. Let r(v) be the third derivative of d(v). Let q(z) = -z. Give q(r(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from oqcml?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1587, 3167, 4739, 6303, 7859, 9407, 10947?\n\"Answer: -4*z**2 + 1592*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/(-6)*1)\/(138\/(-207))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*6*(0 + 0 + sqrt(325) - sqrt(325)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(66) - (-2*sqrt(66)*2 - sqrt(66)))\/(1*sqrt(12)\/sqrt(2)*1)*-5)**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92939 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: Calculate 6190\/(-820) - (-20)\/410*1.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 50. Calculate the lowest common multiple of 2 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -537, -518, -495, -468, -437, -402?\n\"Answer: 2*x**2 + 13*x - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5489, -21925, -49315, -87653, -136933, -197149, -268295, -350365?\n\"Answer: q**3 - 5483*q**2 + 6*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6135 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**(-4\/9)*f*f*f)\/f*f*f)\/f**(-4))\/(f\/(f*f**1*f))**(4\/29))**(-7\/4) assuming f is positive.\nAnswer: f**(-8981\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddbvdvkks. What is prob of picking 1 d, 1 k, and 1 s?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + l**2 - l**2)*(203 - 36*l - 34*l + 72*l + 173).\nAnswer: -4*l**4 - 752*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -3)\/(-1 - -2 - 2). Suppose -n*l - 2191 = -12*l. Calculate the remainder when l is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 5, -2, -6 in decreasing order.\nAnswer: 6, 5, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14\/275 + 41\/275. Let f = 47 - 47.3. Let k = 6 - 4. Which is the biggest value? (a) k (b) f (c) 1\/6 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100011000011110?\nAnswer: -100011000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a24ab2 + -5?\nAnswer: 7a24aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34624 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 20. Let f(s) = 3*s + 15. Let j(w) = -5*f(w) - 4*l(w). What is j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/(-2 + (-7)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -222?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12652*f + 467574. What is w(37)?\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 4 - 3 + w**2 + 8*w. Let p be k(-5). Let o = 64 - p. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 193a + -143?\nAnswer: 17a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-385)\/88*(-120)\/(-150).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261010 smaller than 261021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, l: 3, i: 4}. What is prob of picking 2 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52164720 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, -1\/4, -45, -37, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, -0.1, -1\/4, -37, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 40*g**2 + 115*g - 109. Give l(37).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4270761 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 greater than or equal to 682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1546, -3097, -4648?\nAnswer: -6199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -17. Let p = -21 + g. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 1\/60*j**6 - 1\/10*j**5 + 0*j**3 + 1\/35*j**7 + 0 - 1\/6*j**4 + 0*j + 1\/168*j**8 + 14*j**2. Let a(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 2134?\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*c - 56 = -112*c. Let v = -52 + c. What is the smallest common multiple of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154 a factor of 684405332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9897237.86 to the nearest one hundred.\nAnswer: -9897200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a factor of 51145557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2, 92, 3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -0.5622\nAnswer: 3.9354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + 5 + -6 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -272 (b) -10 (c) 31 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -101139 at least -101139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -348.45 - -645.31. Let q = -297 + m. Which is the smallest value? (a) q (b) 0.5 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 16*n + 4. Suppose i = 4*t - 20, -5*t + 10*i + 32 = 7*i. Let m be (6 + -101)\/(-5) - t. Determine x(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 113362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 288630 divided by 310?\nAnswer: 28863\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 408, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287161\/321 + 2684\/3. Let z = 357\/428 - p. What is the third smallest value in 1, z, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 5*a**2 - 6*a + 11. Does 3 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1242 (base 6) to base 12\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-18) + (-2)\/(-6). Suppose 5*f + 3*g = -163, -8*f + 3*f - 2*g - 167 = r. Round f to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 43203, 12.\nAnswer: -3, 5, 12, 43203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwcwww.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0 + 1)*-4. Let y be (-2)\/8*(-11 + (18 - 8)). What is the third smallest value in y, v, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + 12066?\nAnswer: 12166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 4490 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: What is 14 - (18 + (4 - 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7038 - -7033. Let j(c) = -48*c - 249. Give j(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*l - 42, -l - l = -4*w + 56. Sort 0.1, w, 0.5 in decreasing order.\nAnswer: w, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 17*f**2 + 21*f - 26. Give g(18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -13. Let s(g) = g**3 + 8*g**2 - 12*g - 3. Is s(o) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.258.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4262*l + 272460. Give j(64).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 30 = -2*p. Suppose -145 = -3*k - 4*t + 18, 67 = k - p*t. Calculate the greatest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3222545 = p, -5*r + 100*p = 95*p - 3222525. What is r rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*s**6 + 8*s**5 - 168*s**2 - 3 wrt s?\nAnswer: 5280*s**3 + 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/3)*l))**(-6\/7)*l**(-2\/11)*(l\/(((l*l*l**(2\/15)*l)\/l*l)\/l))\/l*l*(l\/(l**(1\/3)\/l)*l*l**(1\/4))\/(l**(-2\/3))**(-4\/25) assuming l is positive.\nAnswer: l**(47731\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:03 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 258125841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 31*m - 160. Calculate d(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 172 (b) 0.21 (c) 3.5 (d) -2\/91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*f**3 - 286*f**3 + 231*f - 281*f**3 + 849*f**3 + 153*f**2 + 87*f = 0. Calculate f.\nAnswer: -2, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n. Let x(o) be the third derivative of -8*o**5 - o**3\/6 + o**2 - 172. Calculate b(x(s)).\nAnswer: 3840*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*g = -6, -5*g + 12 = 2. Let i be 74\/z - 34\/119. Suppose -4*f - 36 = -v + 18, -i*v + 198 = 4*f. What is v rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1084 + -582. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 2\/11 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**2 - k + 1. Let w be z(-1). Let c = w - -12. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (0 - (-1 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 991134.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 = -22*z + 53 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -11 - (-21 + 26) - (57 - 4).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1509 - 1517.93. Let t = -9 - x. Let s = t + -0.13. What is the second smallest value in 0, s, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288517 - 288635 - 2*y + 577152.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(7) + sqrt(336)\/sqrt(3).\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -29. Let h = 151 - w. What are the prime factors of h?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, q: 1, f: 2, o: 1}. What is prob of sequence om?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**3*v**3 - 16105*s**3 + 1075*s*v**4 wrt v?\nAnswer: 9*s**3*v**2 + 4300*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12262*(8 + ((-7)\/2 - 4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:32 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -421?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17024602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((7 - 2)\/130). Suppose 5*b - 4870 = 5*h, -1948 = -2*b + v*h - 8*h. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194345981 a multiple of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500)*2*4)\/(-2*sqrt(80)*6) + 4.\nAnswer: -5*sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 978.008552 - 978. Round k to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 2*v - 1. Let d be z(-2). Let j = -11 + d. Suppose -5*c + 3 = w - 2*c, 3*c = j*w - 12. Solve 6*p - 5*x = 2*p - 3, x + 7 = -w*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let q be 2*(i + 5 + -2). Suppose -82 = -4*j - q*h, 44 = 5*j - 4*h - 39. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*b + 72*b + 15. Put 4, 1, -18, b in decreasing order.\nAnswer: 4, 1, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1318977.97 + -1318342.96609. Let f = d - 635. Round f to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50633073, 50633075, 50633077, 50633079, 50633081?\nAnswer: 50633083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x - 180 = -26*x + 17*x. Suppose -21 = -5*n + 14. Sort 5, -4, n, x in descending order.\nAnswer: n, 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 26121671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 25*q**3 + 152*q**2 + 17*q - 1. Calculate p(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9882 + -9885. Suppose -3*j + 5*j - 2*t = -16, 4*t = 3*j + 29. Which is the closest to j? (a) f (b) -15 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -2)\/((-28)\/7). Let b be o*(((-27)\/6)\/3)\/3. Suppose -5*n = -10, -4*h + n + n + 380 = b. What is the remainder when h is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 160*i - 161*i. Let p(g) = -2*g - 7. Let m be p(i). Solve -3*h + m = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36113945.\nAnswer: 5, 7, 307, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 22*j - 10. Let x(r) = -r - 3. Let m be x(-5). Suppose 5*t = -5*f + 5, 0 = -3*f - m*t + 6 - 1. Let n(l) = f + 1 - 10*l + l. Give 5*h(i) + 12*n(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 223*b*z**2 - 6*b*z - 7*z**2 - 3*z - 25 wrt b?\nAnswer: 223*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 211*t - 284*t + 584. Let a(c) = -2*c**3 + 15*c**2 + 15*c - 62. What is a(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/48 (b) -2 (c) 0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16380 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnmm when four letters picked without replacement from {n: 3, m: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 134103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l - 29*l - 10*l)*(-329*l + 3 - 8*l - 3 - 36*l).\nAnswer: 19023*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(-36))**(16\/11) assuming c is positive.\nAnswer: c**(1152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 - 5*k - 4. Let z(x) = x**2 + x + 4. Let n be z(0). Let o be j(n). Suppose t - o = -t. Solve -u = t*v - 12, 5*u = 6*v - v + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 9. Suppose -2*n = -j*n + 121. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/15))**2 assuming q is positive.\nAnswer: q**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54961*g**3 - 27457*g**3 - 27507*g**3 + 2 - 2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 1 = 14*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-529)\/598 - 3\/26. Let v(u) = -u**3 + 6*u**2 - 5*u - 5. Let w be v(5). Let d(q) = q + 13. Let b be d(-8). Sort w, b, i, -4 in descending order.\nAnswer: b, i, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (3 - (3 + -6)) + 97 + -117\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbheebsbzssehgsz. What is prob of picking 1 g and 1 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6974325 and -137\/110?\nAnswer: 153435150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3.8. Let q = -21460\/9 - -51797\/18. Let y = 493 - q. What is the biggest value in 2\/3, y, 2\/17, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 718*c**2*t**2*w**3 + 486488*c**2*t*w**3 + 9*c*t*w**3 + 18*c*t*w**2 + 125598*t**2*w wrt c.\nAnswer: 1436*t**2*w**3 + 972976*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + -1 + (-192)\/(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9 = z - 0, 0 = 5*z + 3*u - 6. Suppose 5*k - 6 - 2 = -4*m, -4*k - 6 = -z*m. Suppose m*y - 6 + 0 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*b + 856199, 229787 = -4*b + 4*g + 1942183. Round b to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 15. Determine k(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a2 (base 13) to base 7.\nAnswer: -3225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y**2 - 17*y**2 + 25*y**2.\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1082 and -3542013.6?\nAnswer: 3543095.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*w**5 - 1173*w**4 - 2*w**2 + 2566198*w.\nAnswer: -4660*w**3 - 14076*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*l - 63 + 6 - 111*l - 87*l.\nAnswer: 2*l - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373b (base 13) in base 12?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - 0.0700022. Round a to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 17566650 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-22) - (-241 + 233).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4\/2 - 81*h**3\/2 + 337*h**2\/2 - 255*h\/2 = 0.\nAnswer: -85, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (69006\/(-9))\/(370\/30 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 9*l**2 - 7*l + 10. Let c = -213 + 223. What is the tens digit of j(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.8 (b) -1 (c) 3.5 (d) 0 (e) 3 (f) 0.207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*c + 4*v - 9, -3*v = -9. Suppose -3*n = -n + c. What is the units digit of -1*(-2 - n)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87584.47 kilograms to micrograms.\nAnswer: 87584470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 6}. Give prob of sequence rg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/60 - 2\/(-5). Put 5, d, -2, 2 in ascending order.\nAnswer: -2, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -241, -411, -611, -841, -1101?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.8 + 2.2. Let m = y + -10.78. Let j = m + -2.2. Put 3, 1, j in decreasing order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -14. Let k be -1*(w - (1 + 2)). Factor k - 1\/2*q**2 + 0*q.\nAnswer: -q**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200237.\nAnswer: 13, 169249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 17 = 2*q, 2*h + 5*q = 16 - 5. Factor -8*w**2 - 4*w + 17*w**3 - 3*w**4 - 18*w**3 + 8*w**4 + 8*w**h.\nAnswer: w*(w - 1)*(w + 2)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8254 - 463. Which is bigger: r or -8718?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2493 rounded to one dp?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12094 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 2\/23 (b) -2\/17 (c) -17 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 + -3 + -6 + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86763 + 86219.49. Let h = 534 + p. Round h to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-5))\/(-2))\/(90\/765*(-136)\/24)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14407307 divided by -3.\nAnswer: -14407307\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10643695?\nAnswer: 5, 31, 68669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3501 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9079922 months in millennia?\nAnswer: 0.00015899935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2*f + f)*(4 + 0 + 3)*(-f + 7*f - 2*f).\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 2 (c) 152 (d) -0.2 (e) 511 (f) -8 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**13*(y**(2\/39)\/y)\/y)\/(y**(2\/53)\/y**22))**(1\/6) assuming y is positive.\nAnswer: y**(68239\/12402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**9\/1008 - r**6\/72 + 4*r**3\/3 - 6. Let o(h) be the third derivative of u(h). Find the third derivative of o(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/10 - (-35)\/(-175). Let g(w) be the first derivative of 0*w - 2\/5*w**5 + 2\/3*w**3 + 2*w**2 + i - w**4. Factor g(p).\nAnswer: -2*p*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n + 5*h + 28, 0 = 3*n - 5*h - 26. Let q be (-2)\/(n - (-8)\/(-3)). Find the first derivative of -5 + 0*d**3 + 0*d**3 + 1 - 2*d**q wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3\/3 - 54*c + 2. Let m be r(0). Let j = -1 - m. What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 12*q**2 + 3*q + 44. Let a be l(-12). Suppose -z - 3 = 3*d - 5*d, -3*d = -5*z - a. Is 18\/11 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 93*r**2 + 286*r**2 + 74*r**2 + 52*r**2 to v + w*r**2 + g*r and give w.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2899 + -3605. Is 2 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:09 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -16.25 (b) -176 (c) 0.5 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -12275829.251197?\nAnswer: 12275829.151197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3955*m**3*o*t + 2*m**3*t - m*o*t - 2*m*t + 1798*m - o*t - 2*t wrt m.\nAnswer: -23730*m*o*t + 12*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2357 (base 14) to base 10\nAnswer: 6153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4271207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -60, -38, 10, 90, 208, 370, 582?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 165*b - 164*b - 9, 3*v = -4*b + 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 3. Let a(r) = -2*r - 4. Let s(z) = 3*a(z) - 4*n(z). Let c(k) = 3*k + k - 2*k. Determine s(c(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/945 + n**6\/54 + 37*n**5\/270 + 5*n**4\/9 + 4*n**3\/3 + 29*n**2. Factor r(a).\nAnswer: 2*(a + 2)**2*(a + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11504 and 1656?\nAnswer: 2381328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-98)\/(-21)*1)\/((-2)\/(-12)). Let y be (t - 23)*(1 - 0). Solve -4*m - 3 = -y*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 y when three letters picked without replacement from yaavaavaaaaaaaaayv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550089076.\nAnswer: 2, 137522269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -232467 (base 8) to base 10\nAnswer: -79159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -6380, 2\/11, -5\/27, 36 in ascending order.\nAnswer: -6380, -2, -5\/27, 2\/11, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7463157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 0.4 (c) 5 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1844*k**3 + 13*k**2 - 451*k - 13. Let f(v) = 922*v**3 - 6*v**2 + 225*v + 6. Let y(z) = -13*f(z) - 6*p(z). Find the second derivative of y(i) wrt i.\nAnswer: -5532*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -219, -502, -871?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 10. Let t be a(-10). Calculate the common denominator of 92\/(-10)*15\/t and 31\/(-3)*(-9)\/48.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(490\/56)*(-7)\/26\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20, 2.\nAnswer: -20, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4773907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 74604.81 years?\nAnswer: 74.60481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3337 is divided by 179?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 1129 - 677. Suppose 254*f = n*f - 36. What is the remainder when 73 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, -468, -1350, -2506?\nAnswer: -3936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 39. Does 3 divide (45\/m)\/(0 - 1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 7*v**2 + 5. Let t be x(4). Let u = t - 52. Which is the closest to 0.1? (a) -12 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(11\/2)*p**(1\/6) assuming p is positive.\nAnswer: p**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -12*p**3 + 1904*p**2 - 23884*p + 15080 = 0.\nAnswer: 2\/3, 13, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2752504814?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 2948*b**2 + 70016*b - 72960.\nAnswer: -4*(b - 760)*(b - 1)*(b + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - t**3 - 25*t**2 + 30*t**2 - 5 + 5 + 3*t**4 as n*t**2 + l + h*t + i*t**3 + u*t**4 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pua when three letters picked without replacement from {g: 2, p: 2, i: 4, u: 2, a: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 662792336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -5. Let w = d + 5. Suppose w = -3*o + 5*b + 295, -5*o + 2*b + 179 = -338. Calculate the greatest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 415\/61, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -6\/37, -5, 2\/11, 2 in descending order.\nAnswer: 20, 2, 2\/11, -6\/37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*r = 5*k + 238*r, 2587*k - 6 = 2592*k + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34783420 by 570220.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paep when four letters picked without replacement from wewpawwwwpwp?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115480 and 369536?\nAnswer: 1847680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 6215351?\nAnswer: -6215351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 - n - 2. Determine w(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 2. Suppose 0 = -z + 4*l - 17, 2*z + 2*l = -l + 10. Let k = 1 - z. Give t(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 4, y: 2, d: 5}. What is prob of picking 2 y?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*8\/6*(-15)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16 + (7 - 4) + 1. Suppose x = -2*a - 2*a. Let m(u) be the first derivative of -u**4\/4 - 2*u**3 - 7*u**2\/2 - 5*u + 1. Give m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50654 or 0?\nAnswer: 50654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 224553435 (base 6) to base 7\nAnswer: 50201450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) 5\/3 (c) -1278 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -318*n - 15262. Calculate s(-48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, d: 5}. What is prob of sequence dldd?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20830 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -50. Sort f, 6, -3, 4.\nAnswer: -3, f, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Let t be i\/(-4) + (-121)\/(-22). Let x(g) = -g**2 + 8*g - 8. Let h be x(t). Let a(z) = -z - 2. Calculate a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 0, -4*k - 3*s + 12 = -2*s. Suppose -5*h + 4*p + 5396 = 0, 4321 = k*h - 0*p + p. What is h rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (46 - (-4 + (10 - 6 - 9))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Let v = 2 - 1.5. Let i = d - v. Sort -0.1, 5\/4, i in descending order.\nAnswer: 5\/4, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = -2*w - 4, 2*a = w. Suppose 2*d - 16 = -2*g, -g - w = -2*d + g. Solve 5 = -d*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 3. Let a be o(3). Let r = 3 + a. Solve -g = -2 - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31392951 and 12988?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827725087.\nAnswer: 7, 17, 6955673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43488 and 3991392?\nAnswer: 602700192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 143356*h**3 + 143368*h**3 + 5*h**4 + (-3 + 3 + 2*h)*(-1 + 1 - 2*h**3).\nAnswer: -h**4 + 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 32 = -5*r. Suppose 4*p - 14 = -2*m, 2*m = r*p + 6*m - 25. What is the second biggest value in -4, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120 or 119?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -2, 75, 2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21020000 (base 3) to base 15\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -333d1?\nAnswer: -333cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1*4) + 13. Let l be (-6)\/(1*(-1)\/3). Let b = l + -14. Solve -q - 5 = -b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - sqrt(152)*-1*6 - (sqrt(152) - sqrt(152)*1)*-5)\/(3*-1*sqrt(1152) + sqrt(1152)).\nAnswer: -7*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*k + 17, -2*g + 3*k + 4 = 52. Let c be (-4)\/(-14) - (-132)\/g. Let i = 10 + c. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2523 times 0.4\nAnswer: 0.90092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384816445.\nAnswer: 5, 276963289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1848*c**2 + c - 2048*c**2 - c.\nAnswer: -200*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693592251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 129921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from uooovovuouoovoovuuou.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*f = -381*f - 3384 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3\/23 - 26638*c**2\/23 + 116544350*c\/23 - 166769711250\/23 = 0.\nAnswer: 3369, 4975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 5, c: 4, b: 1}. What is prob of sequence cc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*r - 60, -3*r + 2*n - 4*n + 14 = 0. Is (226\/r)\/(6\/120) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s + 4*u, 2*u - 5*u = 3*s + 18. Are s and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28376 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -622498 divided by -21\nAnswer: 622498\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015168 rounded to seven dps?\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + (-10 - (-7 + -12)) - -51) + -2 + 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2. Let h(d) = -147*d - 24. Give a(h(w)).\nAnswer: -43218*w**2 - 14112*w - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u**2 - u. Let g(l) = -2*l**3 + 5*l**2 + 5*l. Let w = -1317 - -1327. Give w*s(j) + 2*g(j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624928 = 258*m - 494*m. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33638750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8764 - 0.02?\nAnswer: -8764.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 12:15 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3582, 11249, 19116, 27189, 35474, 43977, 52704?\nAnswer: 61661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 905022 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-54)\/(-126) - 5299\/25284 and 151\/48.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/11 + 5260*n**3\/11 - 161138*n**2\/11.\nAnswer: -2*n**2*(n - 2599)*(n - 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let h(g) = 2473329*g. What is t(h(s))?\nAnswer: 2473329*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -39015935\nAnswer: -4\/39015935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 12*t - 4. Let j be n(10). Is 11 + -12 - j*23 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2390 and 52\/2517865?\nAnswer: 5035730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 138 = 54. Let o = 60 - 48. Suppose -o*s = -15*s + 60. What is the remainder when s is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:33 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -47. Suppose 14*k + 62 + 36 = b. Does k = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -144 + 199940?\nAnswer: 1997a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 - w - 1. Let l be -20*1*(-1)\/1. Let m = l - 21. Let p be z(m). Solve 0 = 5*c - 3*y - 1, -p*c = 3*y - 9 - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**3 - 155*i**2 + 11*i - 2. Determine t(14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 23.13. Let v = 4.87 + i. Let n = 5 - v. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 6 = 10*g. Let w(m) = -m**g - 3392 - m**2 + 3389 + m**3 - m**3. Determine w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987861313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.45440224 to three dps.\nAnswer: 1.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(-1 + sqrt(3) + 3).\nAnswer: -18 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -659, -965, -1271?\n\"Answer: -306*i - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 466 by 233.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5336, -5326, -5312, -5294, -5272, -5246, -5216?\nAnswer: -5182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6405*z + 12863*z - 6430*z.\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2*b. Let r(d) = d**3 - 5*d**2 + 6*d - 2. Let x be r(4). Suppose -x = -4*o + 2*o - 2*k, -3 = o - 5*k. List the prime factors of y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35278, 70575, 105872, 141169, 176466, 211763?\nAnswer: 247060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = y + 5*q, 5*q - 10*q + 1 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 36*g**2 - 304*g + 103. What is z(23)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -c - 5, 3*o + 25 = 4*c + 2*o. Let q = 156 + -156.12. Put 2\/19, q, c in decreasing order.\nAnswer: c, 2\/19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9565 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 smaller than 330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2226188429 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*k - 66, 30 = 3*c - 4*k - 14. Let r = 211 + c. Let y = -130 + r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -0.23 (c) 0.2 (d) -0.5 (e) -2\/15 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121200202 + -11001211?\nAnswer: 110121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - x + 2027*x**2 - 2028*x**2 + 4*x. Let o(a) = 833*a. What is k(o(p))?\nAnswer: -693889*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3.08\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 6*s + 6*s)*(-2*s + 4 - 4) - 3*s**2 + s**2 + 0*s**2 + (-23*s**2 + 28*s - 28*s)*(2 - 5 - 9).\nAnswer: 256*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188324*p*w**2 + 2*p*w + 231*p - w**2 - 2*w wrt w.\nAnswer: -376648*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:51 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3515807 (base 11) to base 16.\nAnswer: 5db901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 - o. Let u(l) = -8*l**3 + 2*l**2 - 2*l. Give 3*u(c) - 6*x(c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dizgd. Give prob of sequence gz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83101*a**2 - 166389*a**2 + 83164*a**2.\nAnswer: -124*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/20 + 5*x**4\/12 + 3*x**3\/2 - 8*x**2 - 2*x + 88. Let h be p(6). Which is the nearest to h? (a) -1 (b) 0.19 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6418.35 rounded to the nearest ten?\nAnswer: -6420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1264, 1261, 1258, 1255?\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 21 = 4*u. Let l be 4\/(-28) + 4686\/u. Suppose y - 5*f = 64 + l, -5*y - 2*f = -1435. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 + -196. What is the closest to b in 1\/2, -19, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + u**2 - 8*u - 12. Let l(o) = -5*o**3 + 2*o**2 - 16*o - 24. Let n(g) = -3*l(g) + 7*p(g). Factor n(i).\nAnswer: (i - 3)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + t = 6*t - 8, -3*y - 3*t = -30. Suppose -y = 2*k - 0*k. Let a(j) = -2*j - 7. List the prime factors of a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 22*q - 21*q = 247, 3*x - 4*q - 242 = 0. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 0.03, -0.13, 122?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1\/((-1)\/1). Let f(h) be the third derivative of h**3\/6 + 71*h**2. Suppose t = -5 - 0. Let q(c) = -c - 5. Give s*q(b) + t*f(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1044\/(-48) + 44\/(-176)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41024?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.742\nAnswer: 2.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-u + u - u) + 4*u + 8*u - 4*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -2. Let w = s - -4. What is the smallest value in -0.4, w, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r + 22. Let i = -150 - -156. Let d(j) = 23*j - 134. What is the lowest common multiple of d(i) and z(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2676\/13 - -206. Suppose 0 = n - 2*k - 11, 3*n + 3*k - 9 = k. What is the closest to 1 in n, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 7, b: 6}. Give prob of picking 1 k and 1 r.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -296*j - 26556. Calculate b(-89).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2429, 4833, 7229, 9617, 11997, 14369?\nAnswer: 16733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2 - 19*l + 10. Give x(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122 * 0.3\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d - 6 = 0. Let k be (-13)\/(d\/5 - -1). Suppose -5*m = 3*n - 5*n - k, 0 = -5*m + 4*n + 55. Solve -t = -4*t + m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 61*l**2 + 77*l - 2066. Give x(20).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*p - 17 = 0, -2*b + 2*p = 6*p - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6974679 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 418, -5, -44, 4, 5 in ascending order.\nAnswer: -44, -5, -4, 4, 5, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 + 7 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.03 + 6. Let m = 0.52 - x. Let s = 0.05 - m. Which is the smallest value? (a) s (b) -2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -c - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 777\/(-70)) + -4. Let v = 563\/80 - p. What is the common denominator of -79\/96 and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61804 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 5, h: 4, i: 7}. Give prob of sequence ih.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13126?\nAnswer: 2, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22591560 divided by -60.\nAnswer: -376526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.01 (b) 0.1 (c) -2\/11 (d) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 6 - 6)*(2 - 2 - h) + (4*h**3 - h**3 + 0*h**3)*(-2 - 1 + 5) to s*h**2 + d*h + c*h**3 + t and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3564283 decades?\nAnswer: 0.03564283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + v = -7*t + 9, -162 = -27*v - 12*v - 15*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375 and 10960785?\nAnswer: 274019625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 7*u**2 - 2*u. Let c be h(-7). Suppose 52*p + 1328 - 7880 = 0. Calculate the highest common factor of c and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -800 * -6768.\nAnswer: 5414400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 41*q - 8. Let d be y(2). Suppose -i + 3*l = 43, 0*i = -2*i + 3*l - d. Let f = i - -33. Solve -f*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 1 - 12\/(-3). What is the second derivative of -9 + h**5 - 3*h**w + 3*h**5 - 58*h + 54*h wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 + 69*-1. Let i = 49 - q. Let g(w) = 2*w**2 + 1147*w - 5772. Let y be g(5). Calculate the highest common factor of i and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24893 - 24893.00052903. Round l to 6 decimal places.\nAnswer: -0.000529","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -3 (c) 5 (d) 169 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let w = -4 - -7. Let a be 68\/(-51)*5\/(-60)*-117 - -26. Solve w = -q*b - a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 28268041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000542 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3966*z - 3475. Let v be d(37). What is v rounded to the nearest one thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 13.2. Let x = v - 11.9996. Round x to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 169*j + 6790. What is the remainder when v(-37) is divided by 178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -64?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 2)*376 + 6. Let q = 279 + h. List the prime factors of q.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 571, 1 in increasing order.\nAnswer: 1, 4, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 485176131 and -0.2.\nAnswer: 485176130.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3717404 is divided by 144?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12) + (1*sqrt(15))\/sqrt(5) + (-4*3*sqrt(3)*-3)**2.\nAnswer: 3*sqrt(3) + 3887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = 4*j - 5*i, 5*j + 2*i = 18. Let x(r) = -4 + j*r**2 - 4 - 3*r + 6. What are the prime factors of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, t: 1, k: 1, p: 1}. Give prob of sequence lp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2530.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22513815?\nAnswer: 3, 5, 79, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(180) - (sqrt(5) - (-4*sqrt(245) - sqrt(5))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 + u + 2. What is t(-4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75197\/22420 + -9\/2242. Calculate the common denominator of -18\/5 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/7))\/h)\/h**(-3\/8)*(h**(-3))**(-1) assuming h is positive.\nAnswer: h**(181\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -674582?\nAnswer: 5\/674582","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 16*h = 80. What is the least common multiple of h and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8274 divided by -6\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 47\/32, -5, -2\/15 in descending order.\nAnswer: 47\/32, -2\/15, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 136283045?\nAnswer: -136283051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - 1\/(-2))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4181*x**2 + 18*x - 115. Let w be h(5). Is -8 + 8\/((-48)\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*f + 82 - 68 = 0, -4*w - f - 25 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -0.5, -43, 3, -0.4 in increasing order.\nAnswer: -43, -0.5, -0.4, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 16, t: 2}. Give prob of sequence xtt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -190\/13 smaller than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125521487.53865 - 1374.96135. Let h = b - -125522846.39999923. Let z = -16.1 - h. Round z to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 30\/((-299)\/(-52) + -5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -32. Let h be 212\/28 - 6\/m. Let r be 4 + (4 - (4 - 0)). Solve h = -y + o, -3*o + o = -r*y - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -26*q - 15. Let z(b) = 17*b + 10. Let k(l) = 5*r(l) + 8*z(l). Let p be k(-9). Let v = -28 - p. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 4. Let n be w(-4). Let z(k) = 6 + k**2 + 43*k - 19*k - 22*k. Calculate the remainder when z(n) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64002119.82 to the nearest 100000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z + 706 = 16*z - 698 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 37*b = 1234 - 1158. Sort -7\/3, 1, -0.5, 1\/7, b.\nAnswer: -7\/3, b, -0.5, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 523218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84 times -35?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/56 and 61\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154617 + 3*c**3 + 154617 + 26*c.\nAnswer: 3*c**3 + 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18.6 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697335489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(48) + sqrt(48) + -1*4*sqrt(48))\/sqrt(8))\/((sqrt(3888)*-4)\/sqrt(9)).\nAnswer: sqrt(2)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 2. Let n be x(-4). Let b(o) = -o**3 - 2*o**2 + 2. Let d(y) = 7*y**3 + 13*y**2 - 13. Give n*d(q) - 39*b(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292392 is divided by 97450?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 1, -26, -8, 216, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 24, 16, -8, -54?\n\"Answer: -s**3 + s**2 + 6*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-437)\/152 - (-4)\/(-32). Sort -9, -5, 0, g, 8 in descending order.\nAnswer: 8, 0, g, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(0 + 217\/6). Let i = -36 - b. Let r = 8 + -9. What is the closest to 0 in r, i, -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.06945, 2 in increasing order.\nAnswer: -5, 0.06945, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*t - 4*t**3 + 60*t + 9*t**3 - t**3 - 2*t**3 + 1 in the form k*t + u*t**2 + q + f*t**3 and give k.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*q + 8 = 0, -2*q + 5*q = -2*h + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.77672 micrometers in meters?\nAnswer: 0.00007277672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) -13 (c) -2\/5 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 4*l + 5. Let r = 24 - 21. Let y be (-1)\/(r\/(-12)) + (-2 - -3). Calculate a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 29*k + 2*s + 508 = 0, 3*k - s = 770. What is the least common multiple of 24 and k?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -12 + (25 - 15) + (-3 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -3088 (c) -1\/210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 52 = w, -1398 + 1456 = -5*q + 4*w for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2989 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*m + 1, 2 = 2*u - 4*m. Let l(c) be the second derivative of -2*c**2 + 4*c + 0 - 1\/3*c**3. Let h(v) = 6*v + 13. Give u*l(k) + 2*h(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3989 - -2083. Calculate the least common multiple of 3864 and d.\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -153, -154, -155, -156, -157?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (4725 - (11 + -20)) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472934 to the power of 1\/2, to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -132?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)\/k**(-4))\/((k\/((k*k**(1\/4))\/k*k)*k)\/k**2) assuming k is positive.\nAnswer: k**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**6\/6 + 2*c**3\/3 - 7. Find the third derivative of l(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22673760 to the nearest integer?\nAnswer: 4762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770561, 1540817, 2311073, 3081329, 3851585, 4621841?\nAnswer: 5392097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*a**4*p**3 - 3*a**3*p**3 - 6*a**3*p - 82*a**2*p**3 - 127*a**2 wrt a.\nAnswer: 768*a*p**3 - 18*p**3 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894 = -2*f + 5*j, 3*f + 697 = -j - 661. Let i = f - -4957\/11. Find the common denominator of i and -93\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*u + 36. Is (-892)\/(-6)*u\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29754.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/77170 and 37\/15.\nAnswer: 231510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33929842 or -33929851?\nAnswer: -33929851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79939 > 19.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9710.593 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -120*f - 134. Does 13 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2959181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4690 - 4690.0003037. Round h to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2 + 66*l + 1301*l**3 + 1166*l**3 + 1403*l**3 - 97*l + 85*l wrt l?\nAnswer: 23220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2832, -2897, -3058, -3363, -3860?\n\"Answer: -8*m**3 - 9*m - 2815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(12\/(-9)) - 60\/(-8). Let n be (5 - i)\/(1*1\/12). Let w be (-1 - n\/16) + 0. Which is greater: -0.3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1, 0.3, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-612)\/(-816)*((-2)\/4 - (-302)\/636)?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3 + 5*z + 0*z**2 + 2*z**2 - z. Let g be s(-2). Suppose 5*a = v + 16, g*a - a = -2*v + 28. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**3 + 2*q - 3. Let k(l) = -7*l + 45. Let x be k(6). What is the units digit of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 3*j - 3. Let y be w(-3). Let u = -1.796 + -0.332. Let n = -0.128 - u. Which is the fourth smallest value? (a) y (b) -3\/8 (c) -0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Suppose -v*l - l = -5*k + 36, -14 = -2*k + l. Let r(x) = 4*x**2 - 13*x - 3. Let h be r(k). What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 0\/1)*1. Suppose 32 = -4*g - l*x, -2*x = -6*g + 3*g - 4. Sort -12, g, 2 in decreasing order.\nAnswer: 2, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49)\/(-35) - (-3)\/5. Let b(t) = 5*t**2 - 2*t - 4*t**g + 1 + t. Let n(x) = -3*x**2 + 4*x - 3. Determine -4*b(f) - n(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -3\/5 (c) -5 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7\/4 (b) -72 (c) -1\/3 (d) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4018 = 38*n + 7324 for n.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -109*o + 129. Is q(-11) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 5*d - 2. Let n be h(-5). Let m = n + 5. Let s = 1 - 1. Solve -4*j = 0, s = 3*v - m*j + 4 + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*v**3*w**3 - 10*v**3 + 2*v**2*w**3 + 22*v**2*w + 8*v*w - 91*w**2 wrt w.\nAnswer: -48*v**3*w + 12*v**2*w - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, 1, -25, -7\/9.\nAnswer: -25, -7\/9, -0.1, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65 and 2.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 1030 = 14953. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97797 or 0.2?\nAnswer: -97797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 15*z**2 + 13*z - 13. Let c be y(-14). Let f(r) = r**3 - 3*r**2 + r + 1. Let k be f(3). Sort k, c, -3 in increasing order.\nAnswer: -3, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 5 - 2) + -2 + (26 + -50 - -84)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950315 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313 (base 6) in base 14?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*z**5 + 5*z**4 - 20*z**3 - 5*z**2 = 0. Calculate z.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let s be k(2). Let r be s\/6*(2 + -2). Is 1\/8 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let z = m + 4. Let h be 3 - 34*z\/42. Which is the second biggest value? (a) h (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -2c37?\nAnswer: -2c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/352 and 4\/5?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-708)\/16) + (-4)\/16. Suppose -4*c + 70 = -5*d, 4*d + 2*c + 40 = -d. Let r = 15 + d. Calculate the highest common divisor of m and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)\/z**(-2\/3)*(z\/(z**(-1\/21)*z))\/z*z*z\/((((z**(-12\/11)*z)\/z*z)\/z*z)\/z))**(-22\/3) assuming z is positive.\nAnswer: z**(-499\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/7 + 38\/21. Let w(h) = h**3 + 4*h**2 + 5*h + 15. Suppose 2*d - 4*d + 4*i = 16, 5*i = -3*d - 2. Let u be w(d). Is u smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -210 + 364. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/4)*r)\/(r\/r**(-5)))**(-3\/8)\/(r**(3\/4)*r*((r\/(r\/r**(1\/4)*r))\/r*r)\/r*r**6\/(r\/(r*r**(-1\/5)*r))) assuming r is positive.\nAnswer: r**(-863\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1328816 divided by -166102.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -2*k**7\/105 - k**2\/2 + 6*k. Let p(j) be the first derivative of d(j). Solve p(n) = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 81.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13744035, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -60 + -3 + 29 + (8 - 22) + -1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15701, 31513, 47325, 63137, 78949, 94761?\nAnswer: 110573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 5*y**2 + 9*y - 5. Let o(r) = r**3 - 3*r**2 - 4*r + 5. Let a = -4 - -6. Let c be o(a). List the prime factors of b(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111002220201 + 12?\nAnswer: -12111002220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 129536?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**3 - 27*p**2 + 38*p - 9. Let z(s) = 3*s**3 + 9*s**2 - 13*s + 3. Let t(m) = -4*a(m) - 11*z(m). What is the lowest common multiple of 22 and t(7)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 98.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + 1)*-2*-4)**2 + (-3*(2 + sqrt(108) + sqrt(3)))**2)*4*-6.\nAnswer: -38760 - 9120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5735669 - -0.597.\nAnswer: -5735668.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 191, 301, 429, 581, 763, 981, 1241?\nAnswer: 1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4798?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 3:09 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 52*q**2 - 52*q - 60. Calculate h(53).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + y**2 + 4*y**2 + 2*y - 7*y**2 + (-2*y + 24*y - 5*y)*(3*y - 3*y - 4*y) to the form l*y**2 + x + q*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45114 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76534144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -55*a**4\/6 - 504*a. Let p(u) = 10*u**2. What is p(g(z))?\nAnswer: 121000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3, 70, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -10 + 0*x + 0*x**2 + 1\/3*x**3. Let b(y) = 8*y**2. What is b(g(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -22*i**2 + 1 - 2 - 4*i + 8 + 4 - 9. Give m(2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -3 (c) -5\/4 (d) 170.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 2 z when four letters picked without replacement from {m: 1, z: 6, h: 3, g: 4, x: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 96518.39 and -2.\nAnswer: 96516.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 4*w**2 + 0*w**2)*(-3*w - w + 3*w) + (13*w**2 - 27*w**2 - 7*w**2)*((1 - 4 + 2)*(0*w + 2*w + 0*w) - 2*w + 5*w + 8*w).\nAnswer: -191*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 + 6 = -4*a. Let o = 61 + a. Solve -3*q - 5*f + 19 = 0, 5*q + o*f = -3 + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/5418*18)\/(-5*1\/147).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 354 - 194. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/47))**(-1\/26) assuming u is positive.\nAnswer: u**(1\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -273*c - 13652. Calculate z(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*d**5 - 10631*d**4 + 2*d**2 - 2969182*d - 3 wrt d.\nAnswer: 260*d**3 - 127572*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 6*h - 2. What is a(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b**3 + 2 + b**2 + 2*b - 1 + 25*b**3 - 9*b**3 in the form z*b**3 + o*b + x + u*b**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-1)\/3). Let m = 76817 - 76821. Put 4, m, 13, n in descending order.\nAnswer: 13, 4, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, -4, -9, 0.2, -0.2, -1.8, -2\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100977*m**2*p**2 - 9*m**2*p - 8154*m**2 wrt p?\nAnswer: -201954*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3973 - -9302. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14088288+1\nAnswer: -14088287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/120 + q**5\/30 - q**4\/8 - q**3\/6 + 4*q**2. Let x be n(-3). Let a be (4 - -3 - 3)\/x. Is -3 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1727? (a) 13\/17 (b) 4\/9 (c) -2\/3 (d) 1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(735))\/(sqrt(40)\/(sqrt(32)\/sqrt(4))).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -0.2 (c) 0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 245?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31551 is divided by 190.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/80 and -43\/72?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/21 and (-46)\/18 - (-100)\/25.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (37\/(-174))\/((-2)\/18). Let c = -1742\/145 + d. Calculate the common denominator of -71\/8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32300133233 (base 4) to base 9\nAnswer: -7245715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.92567 and -500.7198.\nAnswer: -501.64547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4053.26225 to the nearest 10.\nAnswer: -4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.141 + 0.059. Let n = -6 + 6.4. Let s = -0.1 - n. Which is the closest to -1\/3? (a) w (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1723.1 + -1723.0984584. Round x to five dps.\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484176312?\nAnswer: 2, 8219, 37781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 3*r - 13, 4*u - r - 18 = -3*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*l**2 + 103*l - 206*l - 134*l**3 + 103*l + 138*l**3.\nAnswer: 4*l**3 + 105*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 110111111100111011 (base 2) to base 13\nAnswer: 80412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 3*s + 2*s)*(4*s**2 + 0*s**2 - 3*s**2) + 214319*s**3 - 214426*s**3 - 3*s + s.\nAnswer: -112*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6928673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 3 - 3 + 4 + 1. Let f be h(6). Suppose 85 = f*s - 10. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7057 + 5?\nAnswer: 7062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 17*x - 29. Is y(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p + 21. Determine t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28024 - 30232.21. Let m = 2230 + o. What is m rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 40*z - 312. Give p(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 10*c + 2864640. Let b = c - -92928. What is b rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*i - 9*i**2 + 6*i**3 - 342*i**4 - 12 + 134*i**4 + 211*i**4.\nAnswer: 3*(i - 2)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 981205472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 30*z**2 - 25*z + 167. Determine v(-31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/11 - 34\/33. Let b = 0.2 + -0.1. Sort r, b, -1\/5 in descending order.\nAnswer: b, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = 5. Which is the third biggest value? (a) 2\/13 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5830 = -35*s - 37750. Is -912 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 29 - 34)*(4*i - i - 4*i).\nAnswer: 74*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)\/s*s**(-18)*s*(s\/(s*(s*s**(-1\/42))\/s))\/(s\/s**(12\/5)) assuming s is positive.\nAnswer: s**(-3523\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50332363 to the nearest integer?\nAnswer: 7095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 629, 1235, 1813, 2363, 2885, 3379?\n\"Answer: -14*x**2 + 648*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1 - sqrt(192))**2*6.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -398, -1, -3, 5 in ascending order.\nAnswer: -398, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -9.5, 5, -0.04, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*z = -4*z - 10, 0 = 4*y + z + 8. Let g be -1 + (2 - (1 + y)). What is the third derivative of -2*u**g - 194*u - 3*u**5 + 194*u wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*u**5 + 141627*u**4 - 47818573*u wrt u?\nAnswer: 1720*u**3 + 1699524*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385, 430, 475, 520, 565?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v + 1. Let b(o) be the third derivative of -o**5\/30 - o**4\/6 + o**3\/6 + 6*o**2. Calculate -3*b(z) + 5*u(z).\nAnswer: z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*s - 5*z, -3*z - 774 + 752 = -4*s. Solve g - i = -5, -5*g + s*g = i - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 211, 213, 217, 223, 231, 241?\n\"Answer: c**2 - c + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlo when three letters picked without replacement from {j: 2, o: 5, c: 3, e: 3, d: 1, l: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -5, 229 in increasing order.\nAnswer: -10, -5, -1, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.1. Let k = t + -0.6. Let f be (7\/(-2))\/7 + -1. Sort f, 4, k in increasing order.\nAnswer: f, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 6. Let k be d(-2). Let a be (-22)\/(-6)*(10 - 7). Let b = a - k. Solve 5*g + 18 = -b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/48 and -29\/17382.\nAnswer: 139056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 11:23 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 13. Let a = -4.2 - o. Let m = -14\/15 + 3\/5. Which is smaller: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - l = 12, 2 = -3*a + 4*l + 1. Let k(m) = -m**2 - 7*m + 2. Let s be k(a). Suppose -2*r + 154 = -4*v, 0 = -3*r + 8*r - s*v - 393. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -243*f - 46. Let z = 775 + -778. Let p(a) = -488*a - 93. Let k(r) = z*p(r) + 5*g(r). What is the first derivative of k(y) wrt y?\nAnswer: 249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0)*((-1007)\/(-57) + -18)*(-1 - 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -68286275?\nAnswer: -68286275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p + p**2 - 10*p + (-5 + 3 - 1)*(-2*p**2 + 0 + 0).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4 + 16010*w**3 + 160475*w**2 + 401500*w = 0. What is w?\nAnswer: -5, 0, 3212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((11 + -18 - -9) + -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ojjojyuytjoj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 20. Suppose 26*l - 557 = r. Solve l*c = 26*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*y + 206 + 184, -2*g + 430 = -5*y. Suppose -882 = -k + g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -171, 3, -3, 0 in decreasing order.\nAnswer: 3, 0, -3, -4, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 0.5, 206, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*q = 4*q + 22, -2*q - 8 = -2*p. Suppose 0 = -p*i + 2*i + 20. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146062361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2723 + 0?\nAnswer: -2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - 306152?\nAnswer: -306112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s + 16. Let h be f(2). Suppose 4*l - h*p - 99 = -9*p, 5*p = 25. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(216) - (sqrt(216)*-1*-2 - sqrt(216)) - sqrt(216)))\/(-2*sqrt(12)*6 - (6*1*sqrt(12) - sqrt(12))))**2.\nAnswer: 648\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 320. Suppose -26 + q = 3*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 23. Suppose w - 8 - r = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5, -4, 0, -451 in decreasing order.\nAnswer: 5, 1\/3, 0, -4, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-35)*(-110)\/33*-7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + -4*(1 + sqrt(2057))) + (((sqrt(2057) - (0 + sqrt(2057)*-3)) + -5)*4)**2.\nAnswer: -6776*sqrt(17) + 527022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 1 = -14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 17. Let t(x) = 4*x - 16. Let d(h) = 2*t(h) + 3*v(h). Let q be d(19). Suppose q = -16*i + 20*i + 72. Which is bigger: -17 or i?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2. Let t be 3 + 12 - (-1 + -1). Let s = t - 24. Let o(l) = l**2 + l - 7. Determine s*f(c) - 2*o(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20733489 divided by 28441\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19974252 is divided by 73.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607749 is divided by 3632?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93.68 - 93. Let c = 0.67999565 - w. Round c to 7 decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/30 - (-43059778)\/1830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.553297ng in micrograms?\nAnswer: 0.006553297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-304)\/56 + 2 - (-6)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42910 - 42907.760064. Let a = 2.24 - y. Round a to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68) - (sqrt(17) - (sqrt(17) - (sqrt(17) - (1 + sqrt(425))) - sqrt(17) - sqrt(17))))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -11*z + 16. Let n be w(3). Let l = -13 - n. Solve l*c = -18 + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1223181376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 996540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2596?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 25, -17 in increasing order.\nAnswer: -17, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s - 9*s**2 - s - 14*s**2 - 1. Suppose 5*c - 7*c + 5*v - 22 = 0, v - 5 = c. Let q be x(c). Is q at most -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z + 470587 - 22389 - 25046 = 0. List the prime factors of z.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 2*b. Calculate t(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**19*g*g**(-3\/4) assuming g is positive.\nAnswer: g**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233574391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/100 and -61\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - (-3 - (4 + -4)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.661 take away -2465?\nAnswer: 2453.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((0 - -3) + (28 - (34 - 6)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*(-12)\/4*3\/6*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 654697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 7*a - 42. Suppose c + 2*x - 32 = -0*c, 4*x - a = -c. Which is bigger: 25 or c?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44553, 178311, 401235, 713319, 1114557?\nAnswer: 1604943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i**3 - 16*i**2 - 11*i. Let k(s) = -s**3 + 26*s**2 + 21*s. Let p(a) = 5*a**2 + 4*a. Let t(b) = 2*k(b) - 11*p(b). Determine 2*r(y) - 11*t(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 250428, 250425, 250412, 250383, 250332, 250253, 250140?\n\"Answer: -c**3 + c**2 + c + 250427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8))\/(1\/8). Let d = 6 + x. Suppose -d*m + 4\/7 - 10\/7*m**3 + 2\/7*m**4 + 18\/7*m**2 = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.49 - -5.79. Let t = g - 3.29833. What is t rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 417790932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191766860 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -23*o**4\/24 + 13*o**3\/6 + 29*o**2. Differentiate a(h) wrt h.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 466250 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -163 and -0.1201.\nAnswer: 19.5763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 0 (c) 0.5 (d) -381\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20967750.\nAnswer: 2, 3, 5, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 4, 2\/19, 10\/7.\nAnswer: -38, 2\/19, 10\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:19 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - t**2 + t + 1. Let i(k) = -2*k**3 - 4*k**2 + 2*k + 5. What is 5*a(g) - i(g)?\nAnswer: -3*g**3 - g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4\/3, 58, -2, -7, -1.7?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 - -36?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21453732.\nAnswer: 2, 3, 43, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 571493, 1143202, 1714911, 2286620, 2858329?\n\"Answer: 571709*v - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11847, 23695, 35543, 47391, 59239, 71087?\n\"Answer: 11848*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -30. Let k(f) = -31 - 4*f**2 - f - 4*f**3 + j - 32 + f**2. What is the tens digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**3\/3 - 3*z**2\/2 + 11*z - 9098. Give m(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bab4 (base 12) in base 10?\nAnswer: 20584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -174, -2 in decreasing order.\nAnswer: 4, -2, -3, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -23*l**2 + 16*l - 11. Let f(c) = -c. Give f(n(a)).\nAnswer: 23*a**2 - 16*a + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*y + 13, -2*y + 4 = -2*v - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*-2*sqrt(17) + 2*sqrt(1088))*-5*-5.\nAnswer: 500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + q**4 - 1 - 12 + q - 7*q**2 + 6 in the form t*q**2 + a + f*q + h*q**3 + s*q**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from ccmcmm?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/45 - (-45 - -44))\/((-31)\/(2480\/(-128)))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/5)*((f\/(((f*f\/f**(-3)*f)\/f*f)\/f))\/f)\/f)\/(f**(-8\/5)\/(f**8*f*f)))**(2\/67) assuming f is positive.\nAnswer: f**(62\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -5*q - 212 + 211, 28 = -4*o + 4*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -814 - -5714\/7. Is 1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*z - 5*x + 8, 4*x = 8. Let b(c) = c + 10. Let q be b(z). What is the highest common divisor of 80 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1612, -13027, -44118, -104755, -204808, -354147?\nAnswer: -562642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2482 = -7*w + 2068. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41317 and 49375?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 + 4 = 3*y, -5*l = 10. Let z = -1.8 + 2.1. Sort y, z, 2 in descending order.\nAnswer: 2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 173 + 462 = 0. Let m = -5025\/8 + i. Calculate the common denominator of m and -7\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x + 9 = -103*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxgw when four letters picked without replacement from {s: 1, w: 2, g: 1, x: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -8, 3, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -126307400 to the nearest one hundred thousand.\nAnswer: -126300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130) - (sqrt(130) - 4*(sqrt(130) - 2*sqrt(130))) - (sqrt(130) + sqrt(130)*2 + sqrt(130))*6))\/(3*sqrt(10)*-6 - (-4*sqrt(490) + sqrt(10))).\nAnswer: -28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a2a89 - 4?\nAnswer: 4a2a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -9*d**5 - 123*d**4 - 591*d**3 - 1197*d**2 - 1020*d - 300 = 0.\nAnswer: -5, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 13}. Give prob of picking 3 x.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6*h**4 - 903*h**3 - 453*h**2 = 0?\nAnswer: -1\/2, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5943 + -5945. What is the fifth smallest value in -1\/2, -92, 3, -0.04, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(-6))\/(1\/(-24)). Suppose c + 100 = 5*h + 6*c, -3*c = -5*h + f. What is the remainder when -6*1\/(6\/(-52)) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2827*a + a**3 + 2827*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b55 (base 14) to base 12.\nAnswer: 2a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + b4?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 - -118. What is the biggest value in 1, x, 24, -1\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 116 = 9*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -58*p**5 + 54*p**4 + 874*p**3 - 462*p**2 - 3168*p - 216 = 0.\nAnswer: -3, -2, -2\/29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 + 292 + 10*a + 2*a**2.\nAnswer: 2*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a + 4. Is -22*(a + (-1)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*h**2 + 132 + 4*h + 5*h + 20 + 29*h**2 + 45*h**2 in the form a*h + w + n*h**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.7 and 1411.\nAnswer: 1404.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**2*r**2*s*u - a**2*r**2*s + a**2*r*s*u - 3*a**2*r - 2*a**2*s + 8*a*r*s*u + 4*r**2*s*u - s*u wrt r?\nAnswer: 16*a**2*s*u - 2*a**2*s + 8*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24b3 - 3243?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/32 + 18\/(-16)*10. Which is greater: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 5 (c) 8 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Solve 0*x - t*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44052214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y. Let i(u) = 7*u - 110. Let d be i(16). Let n(x) = -26*x**2 - 72*x**d + 49*x - 49*x. Calculate g(n(v)).\nAnswer: -490*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-1) - (-20 - -21). Put 1\/2, z, -2, -0.3 in descending order.\nAnswer: 1\/2, -0.3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/60 - h**4\/6 + 9*h**2. What is the second derivative of c(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16747847 * 0.3.\nAnswer: -5024354.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3 + 11*i**2 - i**2 - 4*i - 3*i**2 - i**3. Let u(q) = -q**2 + 9*q - 2. Let x be u(8). What is the units digit of t(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-13))\/((-95)\/1064).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 33 = -5*i - 17, 3*i = 4*k - 36. List the prime factors of (-1)\/3*(-2452 + (k - 5)).\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 122200?\nAnswer: -122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 178\/11, -195?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2051464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 5, v: 4, h: 1, z: 3}. Give prob of sequence zhr.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1846*g**2*p - 150*g**2 + 74*g + 3*p wrt p.\nAnswer: 1846*g**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.97 - 0.03. Let z = -93.85 - -94. Let r = -0.15 - z. What is the biggest value in -0.5, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j + 6. Suppose 0 = 4*u - 4*q, 2*u - q + 1 = 4. Let s(t) = 2 - 5 + 1 - 5*t. What is u*f(d) + 8*s(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 13 + 4 = -2*n, 0 = 2*j + 5*n - 13. Let f be (-2)\/(-2) + (j - 2). Find the common denominator of f\/(-4) + (-476)\/(-51) and 19\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40)\/sqrt(2))\/sqrt(5))\/(sqrt(20)\/(sqrt(10) + sqrt(10)*1)))**2 + (5 + -1*sqrt(8) + 3)**2.\nAnswer: -32*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198760 and 347830.\nAnswer: 1391320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 253*m - 4. Let h(v) = 4*v + 1. Determine 4*h(f) + s(f).\nAnswer: 2*f**2 + 269*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208659328?\nAnswer: 2, 257, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 102 = 3*b. What is the common denominator of 614\/(-120) - 11\/(-66) and b\/(-18) - (-6)\/(-27)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3462 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**3 + 50*q**2 + 13*q**2 + 8*q**3 - 2*q**2 in the form l + k*q**3 + u*q**2 + a*q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 9 (c) -3\/5 (d) 0.2 (e) -143 (f) 17\/11 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from azzjhzazahzzahzazjz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -d8239d (base 15) in base 16?\nAnswer: -9ceda0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -74?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*g - 2*g**4 + g + 4*g**4 - 2*g**2 + 3*g to the form x*g**3 + a*g**4 + q*g**2 + s + v*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 54*u + 25 = -49*u, 4*b + 15 = 3*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16193 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -22. Suppose 4*g = 8*g - 8. Solve l = -5*t + g*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 54. Let o be (q\/6)\/((-24)\/(-18) - 0). Which is the closest to o? (a) 3\/4 (b) -0.2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99688, -199369, -299050?\nAnswer: -398731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 48*h**4\/5 - 416*h**3\/5 + 828*h**2\/5 - 324*h\/5 - 216\/5 = 0.\nAnswer: -1\/3, 3\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 322265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -70096 divided by -4?\nAnswer: 17524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(44)*1))\/(sqrt(144)*3*-2) + -5.\nAnswer: -5 - sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 5*n + v, 4*n - 11*v + 13*v = 130. Calculate the smallest common multiple of 30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**4 - 41*j**3 - 1505*j**2 - 6919*j - 10361. Let n(g) = g**4 - 27*g**3 - 753*g**2 - 3459*g - 5181. Let w(c) = 6*b(c) - 14*n(c). Factor w(u).\nAnswer: 4*(u + 3)*(u + 6)*(u + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1177073?\nAnswer: -1177070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 3320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23469 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 351 = 4*o. What is the remainder when o is divided by ((-60)\/(-14))\/((-9)\/(-42))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49234 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 11*q**2 + 16*q - 1. Let r be z(11). Suppose 2*l + 31 - r = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -58, -67, -80, -97?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8557519*k**6 - 20*k**2 - 11324*k + 17 wrt k?\nAnswer: 1026902280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7230291?\nAnswer: 3, 103, 23399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2 - (-2)\/(-2)). Factor -6*p + g*p**2 + p**2 + 0*p**2 - 3 - 4*p**2.\nAnswer: -3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 != -52481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(200)*-2.\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**3 + 28*y**2 - 28*y. Let r(h) = -h**3 - h**2 + h. Let x = 1610 + -1608. Determine x*i(t) + 56*r(t).\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5 + 3\/5*o - 1\/5*o**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -10.3. Let a = 8 + -6. What is the nearest to 3 in 1, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*w. Suppose -3*q - 8 = -4*q + 2*b, 5*b = q - 20. Suppose -u = -p + 8, q*u = 5*p + 5*u - 10. Sort p, w, 2 in ascending order.\nAnswer: w, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/16 + 265*j**3\/8 - 399*j**2\/4 + 81*j + 2. Factor z(t).\nAnswer: 3*(t - 1)*(t + 266)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 2. Suppose -15*z + 192 = 9*z. What is the lowest common multiple of z and r(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(15062\/(-5316)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108\/7 or -14?\nAnswer: -108\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54, -133, -238, -381, -574?\n\"Answer: -2*p**3 - p**2 - 62*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) + 15\/27. Which is the second biggest value? (a) j (b) 3 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d**2 - 63 - 32*d**2 + 10*d - 9*d.\nAnswer: -3*d**2 + d - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -395.13 - 1.87. Let h = x - -395. Sort -4, -3, h in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j + 4. Let n(h) = -144*h + 63. Let t(m) = -2*n(m) + 33*z(m). Let v be t(-17). Suppose 2*l = 65 + v. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0*b**2 + 5*b**2 - 8*b - 6 - b**2 + 1. Let w be l(-5). Suppose 4*t = -t + w. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m - 11. Let f be (5 + -3)\/4*-8. Let r be 5\/2*(-3 + 7). Let h(u) = 4*u - 6. Let z(x) = f*o(x) + r*h(x). What is the derivative of z(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(450)*-6 + sqrt(450) + (sqrt(450) + 2*sqrt(450))*-5)\/(sqrt(9) + 2*sqrt(9)*-2 - (sqrt(9) - (sqrt(72) + (sqrt(72)*2 - sqrt(72)))\/sqrt(8))))**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8382281?\nAnswer: 23, 364447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 4. Let k = 5 + -5. Give b(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 1. Let c(j) = -5*j**3 - 7*j**2 + 8*j - 2. Let p(n) = -c(n) + 6*r(n). Suppose 2*y + 4*l = 8, y + 2*y + 5*l = 13. Calculate p(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2729 is divided by 979.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 - 378*r + 753. What is k(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from zezzzez?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {u: 1, e: 1, z: 2, a: 6, l: 5, m: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6912546.\nAnswer: 2, 3, 1152091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862298.\nAnswer: 2, 241, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.21491?\nAnswer: 1.50437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + ((-37730)\/(-2520) - (3 + 26))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.61 + 4228.19.\nAnswer: 4226.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1, -3, -189, -35, -6 in decreasing order.\nAnswer: 1, 0, -3, -5, -6, -35, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -y - y, -2*t + 3*y = -25. Let u be t\/6*(-111)\/(-185). Solve 0 = -3*z + u - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/100)\/((-2)\/80). Suppose -2*c + 567 = 2*c - 3*u, -u - 429 = -3*c. Calculate the highest common divisor of w and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmk when three letters picked without replacement from {k: 3, m: 3, n: 2, o: 1, d: 7, j: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 749300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:18 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176975 is divided by 22121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 131465687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -0.4 (b) -1\/3 (c) -41\/26 (d) -0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 5*r)*(-2*r - r + 6*r) + 20*r**2 + 0*r**2 - 2*r**2 + (-r - r + 0*r)*(2*r + 1 - 1) + 2*r**2 - 6*r**2 + 3*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 419 + -418. Which is the closest to z? (a) 2 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (23 - ((-2 - 59) + 26))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10 + (-48)\/(-10). Let x(r) be the first derivative of 7*r**3\/3 + r**2\/2 + 7*r + 37. Let j(f) = -3*f**2 - 3. Let z(s) = h*j(s) + 2*x(s). Factor z(m).\nAnswer: -(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2131? (a) 2.5 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 68. Suppose 0 = -4*h + 5*c + 7 + r, -21 = -4*h - 5*c. List the prime factors of ((-582)\/(-12))\/(2 + (-6)\/h).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-108) - ((-21)\/12)\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(3 + (-498)\/162). Let l be f\/(-144) - (-185439997)\/8. Round l to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -20*d**3 + d**2 - d - 2. Let v be a(-1). What is the greatest common factor of v and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -4*r**3\/9 - 276*r**2 - 905. Determine h so that l(h) = 0.\nAnswer: -414, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472321 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8*z*z*z)\/(z\/(z\/(z*z**9)*z))*z*z**(1\/9)\/z*z*z**(-1))\/((z**(-3\/4)\/z)\/(z*z**9))**(-44) assuming z is positive.\nAnswer: z**(-4634\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1309 = -3*m - n, -4*n = m - 9*n + 447. Let z be (-1 + -1)*453\/3. Let c = z - m. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 445 + 474 - 21*s - 10 - 12.\nAnswer: -21*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -119*i**3\/3 - 7838*i**2\/3 - 42845*i + 5808 = 0.\nAnswer: -33, 16\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -9*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649869317 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/3*-6. Suppose -5*o + 2*h = -3*h - 15, 4*h + 20 = 5*o. Suppose 2*t = x*n - 20, 0 = 3*t + 4 + o. Solve -1 = w + n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345\/46*(-4)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**2 - 11 + 0*y - 29\/3*y**3. What is the second derivative of q(d) wrt d?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 1598*x + 11*x**3 + 548*x**2 - 2 - 290*x**2 - 334*x**2 wrt x.\nAnswer: 66*x - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2. Let r(n) = -210*n**2 + 126. Let p(q) = -1. Let k(l) = -126*p(l) - r(l). Give s(k(u)).\nAnswer: 88200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19718804 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -1182?\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.2 + 23. Let n = b + -1.8. Sort -0.2, n, -6\/7.\nAnswer: n, -6\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*b - 0*g + 108, b - 42 = 3*g. Suppose -o - b + 300 = -3*k, 5*k + 826 = 3*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from yqqp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imppppmnniipmpmpmmm. Give prob of sequence pppp.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnll when four letters picked without replacement from {n: 6, r: 7, l: 2}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16708462*c**2 + 20700795*c**2 + 1181063*c**2.\nAnswer: 38590320*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -108, 82, -2\/647, -2\/13?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*k - 3*k - 8*k - 1)*(0*k - k - k)*(-7 + 10 + 7) to the form y*k + o*k**2 + r and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1185, 1204, 1251, 1338, 1477, 1680, 1959?\nAnswer: 2326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050098 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -175 (b) -8 (c) 1\/4 (d) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44792923 is divided by 14930971?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + -1)**2*-3.\nAnswer: -4722 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301279067.\nAnswer: 19, 15856793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 994 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6952 and 3476.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**3 + 1. Let p(a) = 2*a - 6. Let l(v) = 5 - 3 - 3. Let r(i) = -6*l(i) + p(i). What is n(r(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -36, 0, 3 in ascending order.\nAnswer: -36, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1994039 take away -0.2?\nAnswer: -1994038.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 360616\/77, 1, 0 in increasing order.\nAnswer: 0, 0.3, 1, 360616\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18350935 by 5.\nAnswer: -3670187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (5 + (sqrt(39)\/sqrt(3))**2) - (1 + sqrt(26)\/sqrt(2))) + (sqrt(52))**2 + 2 + -4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - 12) + 61 - 35.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19*t - 1. Let w(a) be the second derivative of -a**4\/6 - 5*a**3\/6 + 5*a**2\/2 + 12*a. Let j be w(-3). Suppose -3 = z - v - 5, -j = 2*v. What is q(z)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 26. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23150 + 23150 + 369*k**3.\nAnswer: 369*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-1\/30)*k*(k**(16\/7)*k)\/k assuming k is positive.\nAnswer: k**(893\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (6 - (-7 + 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 556*w + 4 - 11 - 10 - 1.\nAnswer: 556*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) -23\/2 (c) 5 (d) 4\/9 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -33. Let p be 8\/(-28) + a\/(-7). Suppose 10 = -i + 3*f, 3*f - 16 = -f. Solve 0 = p*b - i - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from {o: 1, n: 1, r: 4, z: 3, q: 6, m: 1}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 6 (b) 0.39363 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 4*g - 2. Let w be t(-3). Suppose o + w = 88. Let h(x) = x**2 - 14*x + 9. Calculate the remainder when o is divided by h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217 - -528. What are the prime factors of u?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 2:53 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4099, 429, 13?\nAnswer: -4099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-36)\/t*t))\/t**(-31)*t**(-14)*t*t**(-24) assuming t is positive.\nAnswer: t**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000048 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 343, 755, 1331, 2071, 2975?\nAnswer: 4043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4618*t - 988*t - 1 + 1 - 1169*t - 918*t.\nAnswer: 1543*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let s(z) = -297*z - 9 - 21 + 31. Give v(s(h)).\nAnswer: 594*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6414785 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 3. Let v be s(0). Suppose 6*l = -4*t + l + 754, -5*l = -v*t + 548. Let h = t - 117. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 21. Let u(v) = -3*v + 11. Suppose -13*i + 15*i - 6 = 0. Let m be u(i). Let d be (1 - m)*0\/(-2). Give r(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 26*t**2 + 24*t - 7. Let j be o(-25). Solve -4*m - j = -5*y - 63, 10 = 5*m + 3*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 43. Let d = y - -51. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220.776 + 109.659. Let y = -107.278 + f. Let l = y + 219. Round l to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 11) to base 5.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + -3)*6 - (0 + sqrt(833))*5)*5)**2*4 + -3 + 2.\nAnswer: -25200*sqrt(17) + 115699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/666 and -40\/33?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -40997.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1335956.\nAnswer: 2, 333989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-45)*23 - (-15)\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99))**2*2.\nAnswer: 12*sqrt(11) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 142, 449, 1044, 2023?\n\"Answer: 16*w**3 + 3*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4661 - 4554. Calculate the remainder when 790 is divided by y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.94 + -0.06. Let x = z + 13. What is the closest to 0 in 4, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c5c8fc - -2?\nAnswer: -3c5c8fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let z(b) = b - 3. Suppose -15 - 5 = 5*f, -f + 11 = 3*q. Suppose -s = -w - 4 + 6, -6 = -4*w + q*s. Calculate w*g(c) - z(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -2\/5, -2\/81 in decreasing order.\nAnswer: -2\/81, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1250136593 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/9)\/(4*(-4)\/(-48)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1178789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -2 (c) -0.2 (d) 113\/337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 17, u: 1}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11210324042 (base 5) to base 13\nAnswer: 27ba297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -29. Suppose -m = -2*m + n*h - 7, -4*h - 12 = 4*m. Let s(d) = d**2 + 36*d - 37. Let a be s(1). Put m, -5, a, 2 in decreasing order.\nAnswer: 2, a, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 2 o when four letters picked without replacement from iggioiggziogizgzzg?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 634178 divided by -162\nAnswer: -317089\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137384074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 623, 502, 303, 26, -329?\n\"Answer: -39*h**2 - 4*h + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 221*r**2\/10 - 568781*r\/10 - 8751 = 0?\nAnswer: -2\/13, 43755\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873a (base 16) to base 15.\nAnswer: a3cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whywhwonhihhihwi. What is prob of picking 1 h and 3 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*c - 258. Let p = c - 36. Let t be (-3)\/(-2) - p\/(-6). Calculate the greatest common divisor of t and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2302 - 0.8698. What is the third biggest value in 4, 0, -0.12, -0.2, f?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 3*k**3 + 0*k**3 - 2*k**2 + 1 + 0*k**3 as v*k**2 + r + p*k**3 + d*k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 13. Let r be (-3)\/(y*1\/(-1)). Suppose 23 = r*h + 2*d + 3, 2*h = 4*d + 40. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 24. Let z(y) = -y**2 + 11*y - 6. Let f be z(p). Suppose 4*h + 2*r - 44 = -r, -r + f = 0. What is the lowest common multiple of h and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o**3 + 1524525*o**2*z**2 - 5*o*z**2 + 5*o*z - 9*z**2 - 3016*z + 3 wrt o?\nAnswer: 66*o + 3049050*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(209) + 2*(sqrt(209) - -2*sqrt(209)) + sqrt(209) - sqrt(209))\/((2*sqrt(121) - sqrt(121) - sqrt(121))\/sqrt(11) + sqrt(11)))**2.\nAnswer: -70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/((-1)\/5). Suppose -k = k - 5*j + 1, 0 = -2*k + j + 3. What is p in p - q + 2*p**3 - 3*p + 2*p**k + 0*p**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57297 is divided by 6668.\nAnswer: 3953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643470?\nAnswer: 2, 5, 149, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-266)\/3248))\/(908\/(-227))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/1)\/20*8. Let a(u) = -2*u - 9. Let d be a(-7). Suppose 2 = -f + d. Solve -f*q = z*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1162 (base 9) to base 10.\nAnswer: -866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u + 45*u + 22*u + 14*u.\nAnswer: 67*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9 - ((-5688)\/70)\/(-6)) + 29\/(10150\/(-20))\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/2)\/((-28)\/21*30\/20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 512 - 514. Let x(b) = b**2 + 1. Let o(w) = -4*w**2 - 2*w - 7. Give u*x(m) - o(m).\nAnswer: 2*m**2 + 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 + 300?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (968\/(-100) - -10)\/(4\/10). Solve 6\/5*b**4 - 6\/5*b**2 + 0 + 2\/5*b**3 - w*b + 2\/5*b**5 = 0 for b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*x - 6 = 0, 4*j - 27*x + 31*x + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 20. Let d be 1*-1*x\/44. Let z = 45 + -45. Sort z, d, -2\/9 in decreasing order.\nAnswer: d, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6659246 and 305470.\nAnswer: 33296230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1197, 4008, 8701, 15282, 23757, 34132, 46413, 60606?\n\"Answer: t**3 + 935*t**2 - t + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c, -3*d + 3*c = -8*d + 15. Suppose 0 = m + 3*b - 18, d*b - 54 = 4*m - 8*m. Let v(t) = t**3 + t**2 + 3. Let i be v(0). Solve 3*r - i = m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - 128*b**2 - 744*b - 1552. Let x(q) = q**3 - 85*q**2 - 497*q - 1034. Let f(h) = 5*s(h) - 8*x(h). Find l, given that f(l) = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71033.3 litres?\nAnswer: 71033300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -27 + 12 - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*s - 4 = -4*s, s + 3 = 0. Solve -2*u - 1 = 2*a + 1, u - m = -3*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r - 4*z + 3498, 2*z - 3506 = -2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -11, -5 in decreasing order.\nAnswer: -3, -5, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - -232. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168766*h**4 - 3*h**3 + 3034388*h**2.\nAnswer: -4050384*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 218680376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*(w*w**(-1\/15)\/w)\/w))\/w**(-10)*w\/(w*w\/(w\/(w**6\/w)))*w\/(w*w\/w**(7\/4)))**(-26) assuming w is positive.\nAnswer: w**(-4537\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 + 280 = 4*q - 5*o, -5*q - 4*o = -52. Solve -5*p = 3*f + q, f + 4 - 6 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 17*l**2 - 2. Is 15 a factor of x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*v + 5 - 10 - 182*v + 8 as d*v + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2028 and 1404?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + 3.02. Let k = -9.5 + 8.5. Which is the closest to k? (a) 5 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 463 = -427 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72932338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4482131, -4482130, -4482127, -4482122, -4482115, -4482106?\nAnswer: -4482095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4502998 = -10*v + 7*v + 2*r, -2*r + 4503002 = 3*v. What is v rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 9*b**2 - 10*b + 8. Let p be s(10). Suppose 2*m - p = 30. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-18)*((462\/(-98))\/(-11))\/(-1)*1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/156 and -57\/1812800.\nAnswer: 70699200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 622915613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9810470 and 20470?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 take away 8687?\nAnswer: -8623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.133 in -2, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 3:54 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1*(-6 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.539997 kilograms in milligrams?\nAnswer: 4539997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*u - 1870, 19*d - 4*u + 938 = 21*d. What are the prime factors of d?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + i + i - 36 = 0, 0 = -5*b - i + 33. Let o be (0 + 1)*(b + -3). Solve -5*k = -25, -r + 20 = -0*k + o*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 6*t - 3. Let v be k(5). Let i = 40 + v. Suppose -2*p = -p - 28. Calculate the highest common factor of p and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*z - 2. Let d(w) = w**2 + 4*w**2 + 11*w + 7 - 6*w**2. Is d(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100011101001 - 110110100?\nAnswer: 11011011100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, -0.4, -92832, 4.\nAnswer: -92832, -3, -0.4, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/9 + 8\/9. What is the smallest value in -2\/13, z, 45?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, -5, -48, 20, -2.\nAnswer: -48, -16, -5, -2, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + 0.06. Let h(k) = 73*k - 39*k - 33*k + 12. Let i be h(-11). Which is the closest to i? (a) -0.2 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (4 + 14 + -27). Put 3, -35, -5, r in increasing order.\nAnswer: -35, -5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 - 54 + 22*n**2 + (-2 + 2 - 3*n)*(12 + 12*n - 12) in the form o*n + h*n**2 + z and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -734, -6163, -20952, -49781, -97330, -168279, -267308?\nAnswer: -399097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 577830764 + 4942.71?\nAnswer: 577835706.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = -4*i + 4*p - 63, 2*i + 3*p + 213 = 0. Calculate the common denominator of 693\/i - (2 + 0) and -53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let g = 3 + -3.2. Let m = -53 - -48. What is the nearest to g in m, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1865939 greater than -1865950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Sort -97, 2, -19696 in decreasing order.\nAnswer: 2, -97, -19696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 6628305273?\nAnswer: -6628305276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/70 - 2*m**4\/21 - 5*m**3\/7 + 18*m**2\/7 + 75*m. Factor s(x).\nAnswer: 2*(x - 6)*(x - 1)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*l + 4, -3 = -2*b - 2*l - 1. Let i = -59.7 + 60. Sort 2\/7, -4\/13, b, i in ascending order.\nAnswer: -4\/13, b, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 - -11?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/201293 + 42875329\/8051720. Let f = 41\/8 - t. What is the closest to 0.1 in -0.4, -0.5, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 4980*a**3 + 3154346*a**2 - 67598520*a + 368506952.\nAnswer: 2*(a - 1234)**2*(a - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/10 and 254\/(-48)*(-10)\/(-35).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6300 and 28517475.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/11 + 20094*k**2\/11 - 46959120*k\/11 - 17939442600\/11 = 0.\nAnswer: -333, 5190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = 8*s - 323 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-152) - 3\/(-4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/7, 5, -0.077 in descending order.\nAnswer: 5, 18\/7, -0.077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**2 - a + a - 5*a**2. Let f be 8\/(-20) - (-12)\/5. Let z(r) = -r**2 + 2*r**f + r**2. Calculate q(z(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2178) + -1) + -5 + 3.\nAnswer: -198*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 59*l**2 + 122*l - 456. What is j(57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 37*z - 56. What is the hundreds digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 12. Let t(a) = 2*a. Calculate q(t(z)).\nAnswer: -4*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = 17. Let k be -1 - (-2 - (-1 + 0)). Suppose k = 3*p - 13 - 20. Calculate the remainder when p is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-77)\/25 + (-2076)\/300 + 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7104\/36 + 20\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413, 1, -1, 3, -267 in decreasing order.\nAnswer: 413, 3, 1, -1, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3190 is divided by 200?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197256385 + -3.039.\nAnswer: 197256381.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 7. Let j be v(3). Sort 0, j, -1, 4 in decreasing order.\nAnswer: 4, j, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7683 divide 1257753198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.38 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b - 1. Let i(v) = 5*v**2 - 4 - 3*v**2 + 0*v**2 + 2*v. Suppose -5*d = -3*a + 7, 3 = 3*a - 4*d - 2. Determine a*i(r) + 4*x(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1456 - 3?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1032914, -1, -0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 645.2 + -404. Let k = -165 + t. Round k to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o - 2. Let x(w) = -6*w. Let r(h) = 3*m(h) + 4*x(h). Calculate r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1422 + 1420 - 145*l + 45*l in the form z*l + o and give z.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1040 - -11201141?\nAnswer: 11202231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + ((sqrt(17) - (-3*sqrt(17) + sqrt(17))) + -2 + -1 - (-6*1*sqrt(17)*3)**2).\nAnswer: -5508 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (0 - (-4 - -6)). What is the nearest to 0 in -4, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*k = -3*k + 839, 2*g + 4*k = 422. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 180045*r + 3960488. Give w(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -676, -972, -1270, -1570, -1872, -2176, -2482?\n\"Answer: -s**2 - 293*s - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rutruuyyu. Give prob of sequence utu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/8 + 5*d**3\/6 - 3*d**2 - 247. Let k(n) = -2*n - 2. What is -5*k(j) - 2*x(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t + 7. What is the remainder when n(-9) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.093*487\nAnswer: -45.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**3\/3 - 5*h. Let f(b) = 15*b**2. Give t(f(q)).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*j = 6, -4*j = 3*k - 7*k + 8. Let d(l) be the first derivative of k*l - 3 - 1\/2*l**2. Let c(s) = 4*s**2. Determine d(c(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 18 = -19*k. Suppose 2*p = -2*r - 2*r - 216, k = -3*r. Let f = -107 - p. Let q(a) = -4*a - 1. Calculate q(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6*32\/(-56)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 2. Let x(s) = 2*s + 2. Let b(v) = 3*a(v) - 2*x(v). Let t(y) = 2*y**3 - y - 1. Let o be t(1). Calculate b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2145729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 183743?\nAnswer: -183746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 + 0 + -5 + 1 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164059919\/5 or 32811984?\nAnswer: 164059919\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9170 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33615 divided by -3?\nAnswer: -11205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*q - 5 = 3*q, -q = 1. Suppose 2*j = 2*t + 98, d = -3*j + t - 6*t + 131. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -31*f**2 - f + 6. Let g(i) = -94*i**2 - 2*i + 17. Let a(u) = -6*g(u) + 17*m(u). Does 7 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -2, -1, -6.\nAnswer: -6, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1011, 1001, 991?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*f - 46*f - 144. Suppose -4*i - 3*z = i - 40, -4*z = -3*i + f. Solve 0 = 2*s - b - 3 + i, 0 = 3*s + b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897070 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -15219685148089.2\nAnswer: 15219685148089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 7*s + 20. Let k be i(9). Let z(m) = 2*m**3 + m**2 + m - 6. What is the smallest common multiple of z(k) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75067*g + 6*g**2 - 75067*g + 5*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j - 9 + 9 + (-1 + 1 - 2)*(-2*j + 1 - 1) to a + h*j and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 7*m - 6. Suppose 0*z - 5*n - 528 = 3*z, -z - 3*n - 180 = 0. Let v = -178 - z. Calculate t(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (8 - 7)) + 1 + -11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v**14*v*v)*v*v\/(v\/(v*v\/((v**(2\/3)\/v)\/v)))*(v\/((v*v**3*v)\/v))**(1\/41) assuming v is positive.\nAnswer: v**(-1198\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -374600 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*b + 4*a - 24, -b + 0*b + 4*a - 456 + 446 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-936)\/4*1120\/(-1260). Suppose 7*s = 3*s + 16. Suppose s*m - 3*m = 13. Calculate the highest common factor of m and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3) + 3 + 2\/6. Let l(z) = 10*z - 4*z**2 - 15*z - 4 + z**u + 5. Let j = 1 - -4. What is l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**5 - 5684*r**3 + 11709*r**2 - 6*r + 1.\nAnswer: 240*r**2 - 34104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6372 - -11528. What is b rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**5*w**2 - 792*p**4*w**2 + 4*p*w**2 + 260*p*w wrt p?\nAnswer: -60*p**3*w**2 - 9504*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(16)*-3.\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (-7)\/(-3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (-2307)\/(-6) + 3\/2.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*s + 44*s - 116*s - 75*s as y + u*s and give u.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 41*i - 1025 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.78 + -6.79. Let r = 2.99 + -3. Let t = r - k. Sort -0.3, 1\/5, t.\nAnswer: -0.3, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88783665.\nAnswer: 3, 5, 271, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7077174 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o + 6*o**3 - 5 + 9*o**2 + 0*o**3 - 6*o - 4*o**3.\nAnswer: (o - 1)*(o + 5)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228698313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*f = 92*f + 95*f + 90 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045062390.3 rounded to the nearest 1000000?\nAnswer: 1045000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-8)\/(-180)). Calculate the remainder when 19 is divided by (36\/(-20))\/(r\/(-50)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219948 is divided by 133?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12402 (base 6) to base 13\nAnswer: b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 23, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 5 = 3*h, 4*h = 5*y + 17. Suppose -5*a + 6*m = h*m - 12, -a - m + 4 = 0. Solve -4*k = q, 5*k = -5*q + 12 + a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -15\/367, -0.048, -1\/4, -0.16?\nAnswer: -15\/367","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 388869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*y - 114*y + 59*y - 6*y + 2594*y**2.\nAnswer: 2594*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -543890 (b) -36 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 5. Let c(m) = -21*m - 36. Let a(p) = 2*c(p) - 15*g(p). Is a(12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 847*s**3 + 5*s**2 + 2*s - 11. Let y be f(3). Suppose 21*p - 1892 = y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(sqrt(153)*-2*-3 - sqrt(153)))**2 + -4.\nAnswer: 3818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -0.4, 10648\/37, -7 in ascending order.\nAnswer: -7, -2, -0.4, 0.2, 10648\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -12*l**2 - 39\/4*l**3 - 9\/4*l**4 - 3*l + 0 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 1. Let t = 15 + -14.5. Which is the second biggest value? (a) t (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 204261514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 + 4*l - 4. Let i(n) = -18*n + 564. Let q(c) = 5*c - 141. Let o(v) = -2*i(v) - 9*q(v). Calculate the remainder when a(6) is divided by o(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 2*n**2 - 2*n**2)*(2*n - 5*n + 5*n) - 4*n**2 + 4*n**2 + 2*n**3 + ((5*n - 4*n - 2*n)*(2 + 5 + 8) - n + 2 - 2)*(-n**2 - n**2 + n**2).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 14, 3, -3.\nAnswer: -3, -1, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - s + 3*s = -2, 4*s - 16 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from jlljjbltlltletbltjle?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 8) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((6\/(-15))\/(5\/(-25)))\/1. Calculate the greatest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548000 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2381 + 2386. Which is the closest to 1? (a) -1\/6 (b) f (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 59 + -27 + -28\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6*o - 2*o = 542, q - o - 268 = 0. What is the remainder when q is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20481 and 11.63?\nAnswer: 238194.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -828 divided by -6\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -960*h - 5603. Give y(-5).\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277 + 280. Let 1\/2*r**4 + 0*r**s - 1\/2*r**2 + 0 + 0*r = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4 (b) 0.1 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbbubkzsksbbsskzbpkp. What is prob of sequence ukk?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + k - 8, 0 = 4*x + 4*k + 8. Let v(h) be the third derivative of -h**4\/6 - 2*h**3 + 9*h**2 - h - 11. Determine v(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**4\/4 + 10*l**3\/3 - 5*l**2 - 14*l + 1. Let k be s(-11). Let o = k - -54. Calculate the remainder when 85 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3437356 (base 9) to base 6\nAnswer: 103434423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39153, -39155, -39157, -39159, -39161?\nAnswer: -39163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 206535495 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -5*b**9\/84 - 23*b**5\/60 - 39*b**2. Find the third derivative of r(l) wrt l.\nAnswer: -3600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -33, -5 in decreasing order.\nAnswer: 3, 0, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 22. Suppose x*r - 1050 = r. Round r to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgvy when four letters picked without replacement from yyyfyvyyyyygfvgyyffy?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 3\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 4*sqrt(112) + sqrt(7))*6*-6 - 4*(sqrt(700)*1 + 3).\nAnswer: -688*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -203 - 68\/3*d**3 + 0*d**2 + 0*d + 181\/4*d**4. What is the third derivative of s(m) wrt m?\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from lblnlnnnnnbnnnln?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.8 - -45. Let t = 2 - 2.15. Let d = -0.05 - t. What is the second biggest value in d, y, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v. Let d(r) = -97229428*r**2 - 2*r. Determine d(a(o)).\nAnswer: -875064852*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128160?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-355)\/142)\/((-10)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 768 and 263424.\nAnswer: 263424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/4*32\/336?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-36))\/((-3059)\/644)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:07 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 396794584\/447 + -887682. Let f = -5\/149 - y. Sort 0, f, 5 in ascending order.\nAnswer: f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -30. Suppose -4*d = m*d - 20. Solve -d*z - n = -7*z - 24, -3*z + n = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21 - 54711046.\nAnswer: -54711046.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1880.\nAnswer: -7520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**5 - 1551*k**4 + 133755*k**3 + 17943375*k**2 + 164477250*k = 0.\nAnswer: -63, -10, 0, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1043*b**2*r**3 - 25*b**2 - 40727*r**3 wrt b?\nAnswer: -2086*b*r**3 - 50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 13*m**2 + 24*m - 27. Suppose -4*u - 12 = -0. Let x(o) = -o**3 + 4*o**2 - 8*o + 9. Let j(c) = u*w(c) - 8*x(c). What is j(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -321*x - 21. What is the units digit of y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*o + 175*o = 5*t - 17, -20 = -5*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**4\/4 + 11*b**3\/3 + 9*b**2 - 6*b - 90. Give y(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (81*(-6)\/15)\/((-7)\/(-35)). Let q = -159 - d. Solve 3*v - 2*u + 10 = -7*u, 4*v + q*u + 17 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, 3, -227 in decreasing order.\nAnswer: 24, 5, 3, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 3*i - 2. Let d be v(4). Let x(u) = -10*u - 26. Let q be x(d). Suppose -5*r + 3*r + q = 0. Which is smaller: r or 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*-2 + 2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 3)*(0 - 8\/12). Suppose 30 = 3*f + 3*i, -4*i + 16 = l*f - i. Suppose 3*a + 2 - 14 = 0. Solve -2*n = a*q - f, 4*q - 1 = 3*n - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 4 - -3 - 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -68232*o + 68229*o - 2 + 2. Let l(k) be the second derivative of k**3\/3 - k. Calculate l(i(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29469587*d**4 - 15936358.\nAnswer: 117878348*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l - 204. Let f = -48 - l. What is the least common multiple of 8 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3692*s + 1. Let w(l) = 823*l**2. What is m(w(o))?\nAnswer: 3038516*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/7)\/x**(1\/4)*(x**(1\/4)*x)\/x**(-4))\/(x\/(x*x\/((x*x**(-2\/3))\/x)*x*x*x)*x\/x**(-2\/3))**11 assuming x is positive.\nAnswer: x**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 285*n**2 + n + 1. Let c(o) = 1426*o**2 + 4*o + 4. Let w(z) = -14*b(z) + 3*c(z). Is 12 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + 127. What is the remainder when z is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -27 + 15 + 28 + 0\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51395852 to the nearest integer?\nAnswer: 7169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 3281*c**2\/3 + 450779*c\/3 + 15823699\/3.\nAnswer: (c + 71)**2*(c + 3139)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326268 by 76.\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 + 2513*b**2 + 39019968*b\/5 - 2834115804\/5.\nAnswer: (b - 71)*(b + 6318)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-740)\/(-1295)*52633\/(-292).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:27 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -618*v**2 - 622 with respect to v.\nAnswer: -1236*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11833399 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 488006 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: Suppose -2*s = -7*s + 35. Let m be 3 - -13*(-3 + s). Suppose 3*i + 16 - m = 0. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*k*k**13)\/(k\/(k*k*k**(1\/28)\/k))**6 assuming k is positive.\nAnswer: k**(339\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*u**3*w + 2*g**4 + 25*g**3*u**3 - g**2 + 5*g*u**3*w + 6*u**3*w + 3*u wrt g.\nAnswer: -24*g*u**3*w + 48*g + 150*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 - 120?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5403 - -10874. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89493919 divided by -7?\nAnswer: 89493919\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/6, -0.2, 55, 2.432, 33, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = 3*k - 2*k. Let h(f) = -f**3 - 9*f**2 + 11*f + 8. Let t be h(-10). Let l be (-8)\/2 + (2 - t). Solve y + 4*j - 2 = k, l*j + j - 3 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -79*g - 488 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155900 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*-1*sqrt(700).\nAnswer: -2 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 less than -0.3?\nAnswer: 437.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -50363 (base 9) to base 11\nAnswer: -22966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1463 - -1583. Calculate the smallest common multiple of u and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -5 - (0 + 1). Let u be g*((-3)\/2 + 2). Let l = 15.977 + -14.977. Which is the nearest to l? (a) 1 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112259.\nAnswer: 7, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1900)*3*4 + 0) + 2)**2.\nAnswer: -2400*sqrt(19) + 6840004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375881 and 307539?\nAnswer: 3382929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -357. Let p = 330.1 + w. Let g = 15 + p. Is g at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 56697.33 centuries?\nAnswer: 566973.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34287 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - v. Let k(f) = -811*f**2 + 5*f + 1839. Let d(q) = -k(q) - 5*s(q). What is the first derivative of d(w) wrt w?\nAnswer: 1592*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s - 103 + 76. Sort 4, s, -53, 5.\nAnswer: -53, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131304 (base 5) to base 4\nAnswer: 1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -12. Let i be 0 + (-1)\/p*-1. What is the second smallest value in -4, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 10:47 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*69.\nAnswer: 8.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -144. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -29, -105, -247, -473, -801, -1249?\nAnswer: -1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*(t*t\/(t**(-2\/3)*t)*t)\/t)**(-2\/25))**(-1\/21))**(17\/5))**(-30) assuming t is positive.\nAnswer: t**(-544\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 29*o**2 + 3*o - 4. Let q be v(-8). Let y be 2\/9 - q\/(-198). Let u = y + -914\/99. Which is the nearest to 2\/7? (a) 0 (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 1\/7 (c) -0.05 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44895.\nAnswer: 3, 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.01 (b) -2.8 (c) -3 (d) 2\/661 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88075985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1524\/(-510) - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r - 23*r - 40*r + 76*r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(63 - 63 - 7*v) + 0 + 3*v + 0 + 2*v - v - 2*v + (-1 - 4 + 6)*(-3*v + 2*v + 3*v) - 1 + 2*v + 1 to b*v + o and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**18)**(-11)*t\/(t*t\/(t**(-6\/17)*t)*t)*t**32)**(-13) assuming t is positive.\nAnswer: t**(39416\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**18\/o**(2\/47) assuming o is positive.\nAnswer: o**(844\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(261072\/740)\/(-196)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 0*k + 2*k + 5*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) 0.1 (d) -1\/57 (e) -32\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 18*q + 41. Let p be a(-20). Solve p = -s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i + 10, -4*a - 4*i - 8 = 0. Suppose 25200 = g + a*g. Round g to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11522.8 to the nearest 100.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 14*k + 4. Let f(h) = h**3 - 6*h**2 - 8*h - 6. Let t be f(7). What is the tens digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/27*15\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - 5 - 1*2. Suppose -w - 41 = 3*j - 205, -f*j = w - 169. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -32. Suppose -272 = -2*q - 2*q. Suppose 4*v - q = 4*l, -5*v + 56 = d*l - 61. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 14*g**3 - 13*g**3 - 32*g**3 - g**3 + 8*g**3 + 7*g**3 - 24*g**3.\nAnswer: -41*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17.477 times -4\nAnswer: 69.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((12 - 19) + 14) - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 56*b**4 - 7*b**2 - 5*b**2 + 293*b**4 + 1 + 5*b**2 in the form r*b + v*b**4 + z*b**2 + k*b**3 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.4. Let h = -0.4 - n. Let v = h + 0.6. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, 12, 0.1 in descending order.\nAnswer: 12, 2\/7, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888 a factor of 70299696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -38*u + 8. What is the units digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4871*j = -2128*j - 1919*j - 71688 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(8 + (247\/2)\/(-13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 + 3 = 0. Let b(c) be the first derivative of 3*c**2\/2 - 5*c - 2. Let z be b(q). Is z equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/20 + 61*c**4\/4 + 3721*c**3\/2 + 6*c**2 + 1. Solve w(l) = 0 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 + -2.8. Let a = 3581 - 3584. Sort -5, a, u, -2\/13 in descending order.\nAnswer: -2\/13, u, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/2 + 17*n**3\/2 - 61*n**2\/2 - 117*n\/2 + 81 = 0.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i - 270\/11*i**3 - 800\/11*i**2 + 0 + 2\/11*i**5 - 12\/11*i**4.\nAnswer: 2*i**2*(i - 16)*(i + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 14. Suppose 3*w - q - 112 = 0, 5*w - q = z*q + 189. Calculate the remainder when w is divided by (-20 - (2 + -2))\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26151 divided by -3\nAnswer: -8717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:43 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -14821627 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8715 divided by 1743.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -9, 0, 2 in ascending order.\nAnswer: -9, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 9, 5, -33, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25628, 205562, 693964, 1645070, 3213116, 5552338?\nAnswer: 8816972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735929.\nAnswer: 373, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 30. Let j(g) = -3*g**2 - 7*g - 2. Let h(k) = -2*k**2 - 5*k - 1. Give c*h(i) + 5*j(i).\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, 0.2, 14, -292?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 7*s + 2. Suppose 4*l + h + 43 = 0, -l + 4*l - 2*h = -35. Let w(y) = -y - 9. Let b be w(l). Suppose 0*i = -b*i - 10. What is t(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2505 divided by 5.\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**5 + 5*x**3\/2 + 5*x**2\/2 - x. Factor i(w).\nAnswer: -5*(w - 1)*(2*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -10.3, -2\/5, -10, -4, 0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15208, -30344, -45360, -60214, -74864, -89268, -103384?\nAnswer: -117170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*20)\/(-5) + (-1)\/3*45\/5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k**2 + 6*k + 3. Let n(o) = 6*o**2 - 3*o - 2. Let f(l) = 4*i(l) + 7*n(l). Suppose 0 = -4*b + 2*h + 12, 2*h - h = -2*b + 6. Determine f(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1710190.\nAnswer: 684076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 8 = 0. Let q be f\/(-10) + (-48)\/(-170). Let h = 0.2 - -0.2. Put q, h, -2\/5 in decreasing order.\nAnswer: h, q, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-810)*45)\/(((-24)\/(-126))\/4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 235*m + 2057. What is w(-9)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i - c - 378, -i = 3*c - 82. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11048 + 11053. Put -9, x, 8, -2, -4 in descending order.\nAnswer: 8, x, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(-2)*(-685)\/(-137)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-7*(-21)\/14) - 23\/(-7). Solve 5*f - 45 = 7*a - s*a, 20 = -3*a + f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hphd when four letters picked without replacement from {t: 3, h: 4, p: 1, c: 4, d: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481031 is divided by 237?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57126, 57108, 57076, 57030?\n\"Answer: -7*k**2 + 3*k + 57130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 - 61. Let t(x) = -20*x**2 + 121. Let r(g) = -13*c(g) - 6*t(g). Let h(a) be the first derivative of r(a). Determine h(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 40 = 4*m - 3*t, 5*m - 5 = -4*t. Suppose 3 = 2*s + 6*f - m*f, -3*s - 4*f = -2. Solve s*b + 3*b = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105471 or -105368?\nAnswer: -105471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - w + 54 = w, -w = 3*m - 147. Let z be ((135\/4)\/(43\/(-172)))\/(-1). Suppose -3*p + m = -z. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/189*14\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12357.5195 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 3*t**2 + 3*t + 68. Give m(0).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*m + 4684 = -5692 + 1471 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 427 + -336. What is the first derivative of 85*y + m + 56 + 98*y + 53 + 31*y wrt y?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3 - 1245*n**2 - 12675*n - 31875 = 0.\nAnswer: -5, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.023 + 0.153. Put g, 0.4, -3 in ascending order.\nAnswer: -3, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.17, 36145?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6)*8\/(-30). Let s = 97025.98 - 97026. What is the nearest to -1\/4 in s, v, 0.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 3*n - 3. Let z(k) = 6*k + 0 - 6 - 4*k**2 + 1. Let r(j) = -j**2 - 71*j - 1263. Let f be r(-37). Let p(w) = f*b(w) + 3*z(w). Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169373\/923864 + 20\/5021. Find the common denominator of -67\/20 and j.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 51 = 2*d. Let u = d - -74. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.951 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 240?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10023 (base 5) in base 7?\nAnswer: -1601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = -4*c + 112662 + 64938. What is the highest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(3*g - g - 6*g) + (3 - 3 + 16)*(-2 + 4 + 0)*(-2*g + 0 - 5*g - 1).\nAnswer: -216*g - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(6))\/sqrt(5) - (sqrt(120)\/sqrt(4) + sqrt(30))\/sqrt(6).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, a: 1, m: 1, v: 7, u: 3}. What is prob of sequence gv?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/2 (b) 3\/4 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 1 v when three letters picked without replacement from vaaaavbbbbvbb.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 7*c + 6. What is x(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 + 2*w - 2. Let i(d) = 35*d**2 - 15*d + 15. Let v(r) = -2*i(r) - 15*p(r). Let t(x) = x**2. Give t(v(f)).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63415, 253454, 570193, 1013638, 1583795, 2280670, 3104269, 4054598?\nAnswer: 5131663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - 68*a + 4 - 69*a + 135*a as l*a + f*a**3 + n*a**2 + y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 180*r - 159. Let t(m) = -m - 3. Let i(n) = -6*t(n) - v(n). Determine k, given that i(k) = 0.\nAnswer: -59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.028 - 0.398. Let q = 6.63 - s. What is the closest to 0 in 4, 12, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 43 - 200*r + 55 - 17 + 199*r.\nAnswer: -r - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551 is divided by 229?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/((-4)\/12*-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 323646.4 * -4.\nAnswer: -1294585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*m + 35 = 0, 3*g - g = -4*m - 22. Let u be 2\/2 + g - 0. Which is the nearest to u? (a) 0.5 (b) -2\/23 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1248*p**2 - 4191*p**2 + p**3 - 22*p**3 + 1472*p**2 + 1471*p**2.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-6))\/((-9)\/10*(-40)\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3790 is divided by 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 11*f = -3*a + 8751, -4*f = -3*a - 11661. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16786 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:57 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -741104038, -741104040, -741104042, -741104044, -741104046, -741104048?\n\"Answer: -2*c - 741104036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*g + 8*g + 6*g + (1 - g - 1)*(3 - 5 + 1))*(-2*g - 5 + 5) + (20*g - 5*g + 32*g)*(g - 2*g + 3*g) in the form k + b*g**2 + l*g and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 - 684*p**3 - 4616*p**2 - 3936*p = 0. Calculate p.\nAnswer: -164, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.14 + 16.14. Which is the nearest to 2\/17? (a) 4\/5 (b) -3\/8 (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397569655*m**5 - 572*m + 818669 wrt m.\nAnswer: -7951393100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/181 - -348\/1267. Let c = -0.2 - -0.1. Let y = c + -0.1. What is the biggest value in y, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**2 - 70*g + 9. Let u be s(0). Let i = 85 + u. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 - 12*v**2 + 6*v - 3*v**2)*(2*v**2 + 4*v - 4*v).\nAnswer: -44*v**4 + 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 5*d + 17 = 0, 3*d + 594 = -5*a + 549 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75, 194, 311, 420, 515, 590, 639?\n\"Answer: -z**3 + 5*z**2 + 111*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 - 2*y - 4. Let c be v(2). What is the common denominator of (-1378)\/(-288) + c\/18 and 49\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o. Let d be (1 - o) + (-1254)\/(-6). What is d rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 12*l**2 + 26*l + 541. Calculate n(-12).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 8, s: 6}. What is prob of sequence sr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2134*q - 2703*q)*(-2 - 2 + 1)*(-4*q - 2*q + 2*q)*(-q + q - 2*q).\nAnswer: 13656*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**2 - 1\/3*u**3 - 3*u + 0. Find the first derivative of f(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4568059\/5 + -913553. Find j, given that 0 - 6\/5*j**5 - k*j - 468\/5*j**3 - 96\/5*j**4 - 672\/5*j**2 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1173, 1114, 1055, 996, 937?\n\"Answer: -59*g + 1232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 123*s**2 + 965*s + 30771. Calculate z(-117).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 - (-27 + 10)) + (1 - -1). Sort -137, t, -4.\nAnswer: -137, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 4. Let k be d(-2). Let y be k\/(2\/(-3)*-3). Let c be (4 - y) + 0\/(-3). Solve c*x + 4*g = -0*x - 33, 0 = -x - g - 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10 + (-284)\/8520 + 10\/((-3360)\/1304)\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r + d = -457, 2*r + 184 = -d. Let p be ((-39)\/r)\/(2\/14). What are the prime factors of -20*8\/(-60)*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.295 - 0.095. Let i = o + 0.22. Let y = -0.4276 + i. Round y to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694127 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: Factor 5*o**2\/6 - 165680*o\/3 + 2744986240\/3.\nAnswer: 5*(o - 33136)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 0*w + 69 - 40 - 32. Calculate j(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/9, 12, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2 - 4. Let d(k) = -32*k**2 - k + 3. Let z be d(s). What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/822852 and 89\/304.\nAnswer: 3291408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200.45458 rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 594083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 4, -5 in descending order.\nAnswer: 4, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 l when four letters picked without replacement from {i: 1, l: 12, z: 1}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Suppose 1 + d = a. Suppose -u + 3*u = -8. Put u, 2, a in decreasing order.\nAnswer: a, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1415, 5629, 12647, 22469?\n\"Answer: 1402*b**2 + 8*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 14. Let x = 2 + n. What is the closest to x in -2, 3, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/57 and 139\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 u when three letters picked without replacement from sujjuusjju.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455128111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.883 - -0.883. Let f = -0.2 - 0.14. Let z = -0.4 - f. Put 2, b, z in descending order.\nAnswer: 2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8233020 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - g + 2515, 36*a = 35*a - 4*g + 2530. List the prime factors of a.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208512 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.7 + -26. Let l = -4.3 - m. Let i = 4.8 - 5. What is the smallest value in l, -0.4, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -b402e9?\nAnswer: -b402e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 4*d**3 - d**3 + (-d**3 + 7 - 5 + 3*d**3)*(-2 + 1 + 4)*(1 + 2 - 5).\nAnswer: -9*d**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 39*j**3 - 9*j**2 + 18*j - 96. What is the hundreds digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 40*z + 3. Let r(p) = -3*p + 13. Calculate k(r(d)).\nAnswer: -120*d + 523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 8:16 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16311509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - b**2 - 21*b + 80. Calculate the lowest common multiple of 372 and h(4).\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q - 18. Let j be d(7). Is (j + 2)*(-1 + 8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(5 + -2)*-13 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.4901446 to one dp.\nAnswer: 148.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 5*s**2 + 4*s + 2. Let n(g) = g**3 - 1. Let f(b) = -3*n(b) + u(b). Let p be f(6). Let j(k) = -4*k - 7. Is 21 a factor of j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = y - 191, -179 = y - 2*y + 2*o. Let r = y + -110. Suppose -2*a + r = a. Solve -2*w - l - 3 = -2*l, -a = 5*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 69 - (-341 + 217)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6*b**(-2\/11)*((b\/(b\/(b\/(b*b*(b\/(b*b\/(b\/((b*b**(2\/11))\/b)*b)*b*b))\/b))))\/b)**30 assuming b is positive.\nAnswer: b**(124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 26, -2 in decreasing order.\nAnswer: 26, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43449816 divided by -14483272?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 55 = -14*t. Calculate the remainder when 173 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 5*b. What is the third biggest value in 4, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1118, -872, -626, -380, -134, 112?\n\"Answer: 246*j - 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1513, -1530, -1565, -1618, -1689, -1778, -1885?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 32. Suppose 2*o - k = -3*o. Suppose o*l - 46 = -16. What is the smallest common multiple of l and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/((-9)\/((-9)\/2)). Let p be (-118)\/(-4) + n\/(-26). Let y = -30 + p. Which is the closest to y? (a) 2 (b) 1\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 5*w - 118. Let z be d(-14). Let u = 768 + z. Calculate the highest common divisor of u and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5053.25 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from zjjzzjzmhjj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - q + 37 = 8, 2*i + 4*q = 6. Let s be 2\/(-6) - (-66)\/9. Suppose 9*r - s*r = 12. Calculate the remainder when i is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = r, r - 15 = -s - 25 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/216 and 25\/32.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 286 + 104 = 0. Solve -15 = 13*x - y*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/210 + 2*4\/(-64)*-4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -233, -232, -221, -194, -145, -68?\n\"Answer: x**3 - x**2 - 3*x - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846188?\nAnswer: 2, 7, 47, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.79203 times -0.4?\nAnswer: 1.116812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/12*(-52)\/(364\/28)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 18 - 23 - 63*g**3 - 26*g**3.\nAnswer: -89*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2650005 and -8.\nAnswer: -2650013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.07, -218, -0.8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/88 and 93\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43798.13um in kilometers?\nAnswer: 0.00004379813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g + 4. Let n be v(-5). Let a = -30 - n. What is the smallest common multiple of 20 and a?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -4\/7 (b) 1\/5 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112221202 + -1100221?\nAnswer: -1121022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 3*d = -1848. Let y = 153 - d. Which is greater: -17\/16 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwqwyqyqwqwq. What is prob of picking 2 q?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmma when four letters picked without replacement from makpampmkfapfaaffmk?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 + 6720*a**2 + 2255900*a + 572798000\/3 = 0. Calculate a.\nAnswer: -19820, -170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlq when three letters picked without replacement from {r: 2, l: 2, u: 5, e: 2, q: 1, s: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, j: 2, w: 1, g: 1, k: 1}. What is prob of picking 1 q and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*u + 42*u**2 - 113*u + 541*u.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26*g + 12. Let n(c) = -32*c - 13. Let t(u) = 4*n(u) + 5*v(u). Determine t(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 7) to base 5\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 34?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 753563 to the power of 1\/2, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + 1 + (-1 + sqrt(1377))**2 + -1)*-1.\nAnswer: -1376 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 6*r - 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1\/4)*z)\/z)\/(z\/(z\/(z*z**(1\/13)))))**25)**(1\/13) assuming z is positive.\nAnswer: z**(-1725\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -685326337\/19272652 + 1\/2064927. Let y = g + 337\/7. Let o = -6973\/2266 + 228\/103. What is the common denominator of o and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67669724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/59)\/(1\/2). Let z = -208\/885 - n. Which is the second smallest value? (a) 3 (b) z (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192292381.\nAnswer: 227, 847103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -28\/53 (b) -4 (c) 47 (d) 0 (e) 0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - o**3 - 4*o**2)*(1 + 3 - 6)*(-5*o + 3*o + o + (-2 + 4 - 1)*(-o - o + 4*o) - 1 + 1 + 2*o - o + o + 2*o).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*i + 448 = 0, 0 = 3*j - i - 130 - 306. Suppose -1454*z + 1449*z - 65 = 0, -2*u - z + 23 = 0. Calculate the highest common divisor of j and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 48\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4) + (sqrt(8))**2*-5 - (5 + (sqrt(44)\/sqrt(2))\/sqrt(11)))*5.\nAnswer: -225 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 752 (base 11) to base 15\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 812 + -455. Suppose -t - 3323 = -8*x. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + v**2 + 0*v**2 + (-2 + 4 + 0)*(4*v**2 - 2*v**2 - 5*v**2) - 248 - v**2 + 133 + 142.\nAnswer: -5*v**2 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8286*i - 216. Is q(-1) a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77416 and 116124.\nAnswer: 232248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23432 and 4446424?\nAnswer: 128946296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2687291.1714093 + -2687291. Let m = x + -0.1715. What is m rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 874 divided by 301061.\nAnswer: 874\/301061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3122.332 micrograms to nanograms.\nAnswer: 3122332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -3. Solve c = -o - m, 4*o - 2 - 2 = 5*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10. Suppose p = 4*s - 902 - 10178. What is s rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3825936 - -7638373. Let p = m + 187563. What is p rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/2))\/f*f*f*f*f)\/f*f**(-3\/8)*f*(f*f*(f*f**(-5))\/f)\/(f**(2\/23)\/f)*(f**(1\/4))**(-49)\/((f\/f**(-2))\/f*f**(-1\/2)) assuming f is positive.\nAnswer: f**(-2339\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47.1*-1249.\nAnswer: -58827.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*((a**(1\/4)\/a)\/a*a)\/a*a*a))*a*a*a**(-5)*a)**1 assuming a is positive.\nAnswer: a**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -504?\nAnswer: -1\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (180\/14)\/(-1 + (-34)\/(-28)). Let v be 0*(8\/m + (-11)\/(-30)). What is the smallest value in 1, v, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957249?\nAnswer: 3, 31, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/10*(-10)\/(-6)*-1506.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40678 or -40679?\nAnswer: -40678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:54 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r. Let p(f) = -77*f. Determine n(p(m)).\nAnswer: -308*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/5 - 21*m**3 + 141*m**2 - 267*m + 738\/5 = 0. What is m?\nAnswer: -41, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 7. Let p be x\/2 + -10 + 2. List the prime factors of ((-4)\/p)\/(1\/15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/57)\/(76\/(-57)) - (-171)\/4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28799 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)*(-2 - -1)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*x = 185, a - 67 = -0*a + 3*x. Suppose -2 + 0 = d. Let c be d + (-2 - -4) + 22. What is the highest common factor of c and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -78. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 28.1. Suppose -y = -5*b + 50, -20 = -2*b - 2*y - 3*y. Suppose 0 = -4*q - 3*h - b, 0*q - q + 4*h = 12. What is the smallest value in n, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = -2*x + 7, 0 = -5*x + 10. Suppose 2*y + 5 + s = 0. Let h be ((-1)\/(-1))\/((-1)\/y). What is the closest to 3 in 2\/11, -2\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130998853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3925 + -1597. What are the prime factors of l?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12440741345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = o - 71 + 64, g + 2*o - 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/5128812 and 169\/70812.\nAnswer: 35901684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a + -1b?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 11:21 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 3. Let h(o) = -o. Let k be -10 + (0 - (3 + -3) - -6). Give k*h(s) + r(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 64, 58, 50, 40, 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 7 + 6 - 12. Let j be r(5). Which is smaller: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1557832.\nAnswer: 5\/1557832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 - -3.7. Let a = 1718.8 - 1719. What is the closest to a in 2\/15, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.38 in -1\/2, -12, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*1*-3 + 2*sqrt(1584)*1)**2 - -2*((sqrt(1584) - (sqrt(1584) + -1 + sqrt(1584))) + sqrt(1584))**2*-6) + -1.\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000333217948 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/47)*u\/u**(2\/9)*u)**(2\/75) assuming u is positive.\nAnswer: u**(1468\/31725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 17, 27, 41, 59, 81, 107?\n\"Answer: 2*l**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549 = -122*w - 31*w - 90 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490517281 to the power of 1\/2, to the nearest integer?\nAnswer: 38607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/973687 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 50 = 0, -m + 101*d - 5 = -0*m + 103*d + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.53 and -3.\nAnswer: 16.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t + 7. Suppose -w = -6*w - 25. What is the tens digit of c(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a*a*a*a**25)**40 assuming a is positive.\nAnswer: a**1280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 - i**3\/2 - 3*i**2\/2 + 136*i + 1. Let s(b) = -b**2 + 4*b + 3. What is -4*r(z) - 3*s(z)?\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -27. Let h be -1 + -2*(-1)\/3. Is h at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121174628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/(-12))\/2)\/(15\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 525984*t - 34582396032.\nAnswer: -2*(t - 131496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 228 + 996 = 0. Calculate the smallest common multiple of 15 and u.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 53 = -12. Let u(q) = -q**3 + 12*q**2 + 19*q - 18. List the prime factors of u(w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 + -1 + 1. Let z = 2.51 - -0.49. What is the third biggest value in a, 2, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1377932922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 12, y: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5979*x - 260 = 5975*x. Let o(f) = 4*f - 7. Let a be o(5). Calculate the highest common factor of x and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 551 (b) 7.4 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 378 = -12*t. Suppose 3*c - 12*c + t = 0. Solve -z = -c*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14881309.\nAnswer: 79, 113, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 + 7*i - 6. Let a be w(4). What is the third derivative of a*o**4 + 2*o**2 - o**4 + 2*o**2 - o**4 wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022022001 - 2?\nAnswer: -12022022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -104, -96, -34, 100?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -109510 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 2, n: 3, r: 2}. What is prob of picking 1 s and 1 q?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((2 - 6) + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1429 + 530. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15662, 31303, 46944, 62585, 78226, 93867?\n\"Answer: 15641*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25272659 greater than 25272660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1581)\/136*-16*121\/6.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkklkkkkkkk. What is prob of sequence kkll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*d = -125, 0 = 5*d - 2*d. Suppose 2*w - u = -3*w. What is the second derivative of 0*h + 0*h - h + 3*h**w + 5*h wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5 - (-207)\/45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 44047.37mm?\nAnswer: 0.04404737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301135\/50704 - -5\/3169. What is the common denominator of d and -163\/2880?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -17) + 11 + -22. Let l(t) = -t**3 + 9*t**2 - 6*t + 7. Give l(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-4)\/(-24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 464.5975736?\nAnswer: 465.0975736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*n - 2. Let b be ((-25)\/15)\/((-4)\/n). Suppose -4*k = d - 2, b*d + 4*k + 0*k = 26. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let u(o) = 4*o**2 + 6*o**2 - o**2 + 6*o**2. Calculate u(g(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - 8?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*d - 2*d = -31, -2*d + 34 = 2*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 16) in base 15?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t)\/t)**(-25)*(t\/t**(-3))\/(t\/(t\/(t\/(t\/(t*(t**7\/t*t)\/t*t*t)*t*t)))) assuming t is positive.\nAnswer: t**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**4\/12 + q**2 + 170*q. Let h(f) = 248*f. Determine t(h(i)).\nAnswer: 496*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2987 and 30284323?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 - -25b?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8268627 + 2.8248. What is p rounded to five decimal places?\nAnswer: -0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) 4 (b) 1 (c) 0.4 (d) 4\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose z = -3*y + 4*y - 12. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-11 - (7 + -15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/20 and (-747)\/220 + (-240)\/(-440)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.0598, -4\/3 in ascending order.\nAnswer: -4\/3, 0, 0.0598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -5301169292823?\nAnswer: 5301169292826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 4 + 3 + 2*(sqrt(500) + sqrt(500)*2))**2.\nAnswer: 2880*sqrt(5) + 72144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 - c**3 - c**2 - c + 13. Determine l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -12, -6 - 7 = 4*g - y. Let x(h) = -h**3 - 3*h**2 + 4*h + 4. List the prime factors of x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02712 times 0.11\nAnswer: 0.0029832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -169, -5, 4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 768 and 320688?\nAnswer: 5131008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 0.0042 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -8 + (-4 - -2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -34, -28?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(176) + sqrt(176) + (1*(sqrt(176) - (sqrt(176) + -1)))**2).\nAnswer: 1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 10 + 5 - 19)*(-b - b + 4*b)*(3 + 3 - 4) as d + k*b + l*b**2 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1588240 - -3?\nAnswer: -1588236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3496 = 24*i - 5*i. Suppose -i*y = -197*y + 130. Solve -17*j = -22*j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1387 - 1399 + 0*d**3 + d**3 + 2*d**2 to the form y*d**2 + k*d + n*d**3 + i and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llgl when four letters picked without replacement from glglgllgglll?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2850, 2847, 2844, 2841?\n\"Answer: -3*f + 2853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327*g**3 + 6776*g**2 - 3449644*g wrt g?\nAnswer: 1962*g + 13552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 7*a. Let t(s) be the second derivative of 0 + 0*s**5 + s + 2\/15*s**6 - 1\/4*s**4 + 0*s**3 + a*s**2. What is the third derivative of t(z) wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/11))**(-24\/11)\/((t\/(t\/(t*t**(-35)*t)*t*t))\/t**(-3\/7)))**(1\/5) assuming t is positive.\nAnswer: t**(29114\/4235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from yhhyyhyhycyyccyy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*v - 82*v - 22*v)*(-1 + 0 - 1)*(0 - 2 + 3)*(0 + 2 - 1) as g + y*v and give y.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -228285 + 9476285. Round q to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*a**4 - 24*a**4 - 16*a**4 - 2*a**4 + 2*a**3 - 2*a**3 + (4 - a**3 - 4)*(1 - 1 - a) + a**2 + 3*a**4 - a**2.\nAnswer: 39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 5 (c) -5 (d) 79 (e) 169.7 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12334 + -1?\nAnswer: -12335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**8\/2240 - f**7\/315 + f**4\/4 - 4*f. Let y(i) be the third derivative of c(i). Find the third derivative of y(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 3. Calculate r(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*(-24)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1434*m - 1439*m = -5*l + 35, -21 = 2*l + 5*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -23.49?\nAnswer: 234.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49516066 and -0.2.\nAnswer: 49516065.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022242 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18954467?\nAnswer: 7, 2707781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3221 is divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 2. Let k be z(-7). Let g be 14\/24*k\/(-184). Let b = g - -3143\/2024. Find the common denominator of b and -103\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 2*x**2 - 3*x - 3. Let l be f(-2). Let w = -10.19 + -2.81. Put l, 0.3, w, 5 in descending order.\nAnswer: 5, l, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006997361 rounded to 6 decimal places?\nAnswer: 0.006997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 13*u - 9 = 16*u, -3*r = -u + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, 0.5, 0, -1\/186675 in descending order.\nAnswer: 8\/7, 0.5, 0, -1\/186675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -17*g**3 + 45*g**2 - 122*g - 37. Let z(y) = -4*y**3 + 11*y**2 - 30*y - 9. Let b(a) = 6*i(a) - 25*z(a). Suppose -f + 0*f = 8. Is b(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324503688 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 4*i**3 - 4*i**3)*(0 + 0 + i - 2*i + 2*i + 2*i + (0 - 2*i + 0)*(3 + 3 - 7) - 4*i + 3*i + 3*i + 5*i - 3 + 3 - 81*i + 110*i - 60*i).\nAnswer: 57*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (sqrt(91)*2)\/sqrt(7).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -195.73489 to two decimal places.\nAnswer: -195.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*y - 717 = -717. Let b(p) be the second derivative of 23*p - 7\/12*p**3 + y - 3\/2*p**2 + 1\/40*p**5 + 0*p**4. Solve b(c) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2059468359 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -11*p**3\/6 + 11*p. Let g(t) = -2*t. Determine g(c(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 21607.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 29*u**2 - 38*u + 35. Determine n(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m + m)*(0*m + 0*m - 4*m)*(-35 + 12 - 61).\nAnswer: 336*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -30. Let j be (22 - -1 - t)*(-48)\/(-32). Let h be ((-22)\/j)\/(2\/(-3)) - -1. Solve 0 = -3*w + w - h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - n**2 - n)*(32*n - 138*n - 184*n + 76*n - 791*n - 14) to x + s*n**2 + q*n + d*n**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 174. Let k(s) = -2*s - 349. Calculate 13*j(v) + 6*k(v).\nAnswer: v + 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) - 4*sqrt(85)\/sqrt(5))*-1.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7)*-2 + -1.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 397*r + 2647. What is the hundreds digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 219 = -3*r, 2*r = b - r - 75. Let y be (-4 + b\/15)*(-60)\/(-2). What is the greatest common factor of 88 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -184164431?\nAnswer: 184164426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 15*i**2 - 25*i + 9. Let s be v(13). Suppose 0 = -13*p + s + 108. Let b = 42 - 25. What is the remainder when b is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*p - 128*p - 5*k = -90, -23*p = -5*k + 195 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18719 is divided by 3089?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**4 - 5532*b**3 - 38562*b**2 + 27780*b + 413325 = 0?\nAnswer: -1837, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4 + 26*t**3 + 24*t**2 = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 6*c**2 + 50*c + 190. What is the remainder when (3 - (-141)\/(-6))\/((-2)\/12) is divided by n(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 5)*(-6 + 2 + 3 + (-4 + 2 + 3)*(0 - 2 + 0))*(0*l - l + 4*l) as h + u*l and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.2. Let z = 0.4 - i. Let u = z + -0.50013. Round u to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27678 divided by -1\nAnswer: 27678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*5*(((sqrt(684) + -1 - sqrt(684))*2 - (-5 + sqrt(684) + -1)) + -5 + (-1 + (sqrt(684) - (sqrt(684) + 1 + sqrt(684))) - sqrt(684))))**2.\nAnswer: 216000*sqrt(19) + 12330000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 1\/73, 88.3613?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 7*k**2 - 9*k - 1. Let l be b(-8). Suppose 2*c - l*c - r + 26 = 0, -5*c = -2*r - 23. Solve 0 = -5*u + s - 6, -16 = -4*u + 2*u + c*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6\/90 - 13*p**3\/6 - 26*p. Let f(y) be the second derivative of l(y). Let s(w) = -6*w. What is s(f(b))?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70839 or 141679\/2?\nAnswer: 70839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 + 35*l**4 - 35*l**3 - 115*l**2 + 220*l - 100 = 0. Calculate l.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 5. Let r be b(3). Solve -3*h - 1 - r = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391885297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3507018956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133\/15 - 41\/5. What is the nearest to k in -1, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 711 divide 1823356275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121.802418 + 121.8. Round m to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 x, and 1 s when three letters picked without replacement from {e: 1, s: 2, g: 10, x: 4}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2067*k**6 - 230*k**2?\nAnswer: -248040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10823 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1248)\/(-1014) + (-90342)\/(-2457)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.2? (a) 15 (b) 0.4 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let k be 30\/12 - (-1)\/(-2). Let g(b) = -k*b - 3*b + 4*b. Give g(m(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**2 - 18. Let a(l) = 11*l. Determine r(a(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1633*l + 126268. Determine t(-77).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.1 + 6.03. Let k = r + 0.07. What is the biggest value in -2\/9, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5033.\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 15*k. Let a(u) = u. Let m be (-1)\/6 + 70\/(-84). Calculate m*h(o) + 18*a(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/11)\/m**(-1\/12)*(m**12)**(-21) assuming m is positive.\nAnswer: m**(-33301\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -16. Find the second derivative of -3 + 3 - 3*m**2 - w*m + 0*m**2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 9*v - 4. Let g(b) = b**2 + 8*b - 4. Let w(z) = 3*d(z) - 4*g(z). Let c be w(-5). Let m = -4 + c. Round m to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/5 + 1581*s\/5 + 3142 = 0.\nAnswer: -1571, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - x = -16 + 48, 4*v = 5*x + 39. What is the second derivative of -v*z**4 + 67 - 107*z + 30*z**4 - 31 - 36 wrt z?\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 845*n**4 - 3*n**3 - 614*n**2 - 20286907*n.\nAnswer: 10140*n**2 - 18*n - 1228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2689612745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/41, -3, -4, -2\/11, 116.\nAnswer: -4, -3, -2\/11, 5\/41, 116","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -8 + -5 - (-4 + 5 + -7 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:58 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(720)*3 + (sqrt(720) - (sqrt(720) + -2*(sqrt(720) - (sqrt(720)*2 + sqrt(720))))))**2 - -6*-1*(sqrt(720) + -1 - sqrt(720))*4)*6.\nAnswer: 288*sqrt(5) + 4488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-17)\/(-4) - 4)*(3 + 0)\/(-3). What is the third biggest value in -3\/7, -7, h, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 21.2 (b) -1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -2*g**3\/3 - 3*g**2\/2 - 3*g - 27. Let t(v) = 5*v**2 + 7*v + 7. Determine 7*n(j) + 3*t(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24442323 (base 6) to base 16\nAnswer: bf3eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39845167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) -5 (c) 1\/141 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*g - 13, -2*r = -24*g + 23*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*y**4 + 49*y**4 - 188*y**4 + (0*y + 0*y - 2*y)*(-2 - y**3 + 2) - y + y + 2*y**4 + 2*y**4 - 2 + 2.\nAnswer: -94*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 2. Let c = -6 - -1. Let o(m) be the third derivative of m**4\/24 - m**3\/3 - 2*m**2 + 218. Give c*f(z) - 6*o(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 7)*(1 - 6 + 3)*(-602 + 35*j**2 - 2*j**3 + 602).\nAnswer: 40*j**3 - 700*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 15. Let y = -51 + 33. Let h(g) = -4*g - 12. Let a be h(y). What is the highest common factor of s and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4198955 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 - (1 + -4). Let d be 6\/(-4)*(-16)\/6. Is 3 a factor of 11\/q - d\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/24 - (-105)\/(-280). Solve -o*c = -16*c + 70 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -14*c**5 - 1278*c**4 + 447244*c**3 - 5930472*c**2 + 18798640*c + 5865600 = 0.\nAnswer: -235, -2\/7, 6, 8, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -14, -10, -3.\nAnswer: -23, -14, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 26*q**2 + 10*q + 16. Let v(z) = 2*z + 3 + 0*z + 461*z**2 - 456*z**2. Let i(g) = 4*r(g) - 22*v(g). What is the second derivative of i(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b**3 + 13*b**2 - 2. Let u(v) = 7*v**3 + v**2 + 7*v - 6. Let l(d) = -7*d**3 - 6*d + 5. Let c(p) = -7*l(p) - 6*u(p). What is -13*c(z) - 6*y(z)?\nAnswer: -z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*v = 166*v + 15. Solve -b + v*z + 8 = 0, 0 = -b - 5*z - 34 + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -152, -248, -364, -506?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/5 and 206\/(-36) - 18\/(-81).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 23*p**4\/2 - 23*p**3\/6 + 3*p**2 - 123. Find the first derivative of l(j) wrt j.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 3. Let s(m) = -m**3 - 11*m**2 - 9*m + 17. Let j be s(-10). Suppose -4*i + 9 = -0*w - w, -4*i - w = -j. Determine d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 33*j - 27. Let n be v(16). Sort n, 4, -5.\nAnswer: n, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 0, 1 = 4*y + 4*l - 7. Solve -2*u + y + 0 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*c + 20 = 0, 3*z - 4*c - 12 = 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = p + 4*p - 2, -2*u + p + 10 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/1 - -5*(-3)\/15. Put k, -9, -3, -2 in decreasing order.\nAnswer: k, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*t - 418 = 0, -5*g - 62 = 3*t + 360. Let w = g + 95. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p - 16. Suppose 3*x - x - 6 = p*q, -2*x = 3*q - 20. What is the remainder when 76\/6 - 1\/(-3) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -3\/29, -122\/3?\nAnswer: -122\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and -18464?\nAnswer: 793952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus 0.0953034684231?\nAnswer: -12.0953034684231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -580 and 4110?\nAnswer: -2383800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553 by 7.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7 - q**3 - 2*q + 0*q**2 - 3*q**2 - 2*q**2. Let z be h(-3). Let a be -3 + 0 + -2 + 0 + 2. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 25*k**2 + 81*k - 521. Let u be p(11). Solve 0 = 44*l + 51 - u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 1. Let v be x(2). Let p = -15 - -2. Let j = p + 18. Solve 4 = -0*a - 2*a + j*t, 2 = -a + v*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 16 - 45)*(2 - 2 + 2)*(0 + 0 - 1)*(-3*o + o + 0*o) to the form g*o + l and give g.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc (base 16) to base 3.\nAnswer: -21120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1656.008 weeks to nanoseconds.\nAnswer: 1001553638400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f + 154. Let h be y(11). Let m(p) = -1 - 1 - h*p + 77*p - 2. Let u(s) = 23*s - 9. Determine 9*m(j) - 4*u(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w**4 - 28*w**3 + 8*w**2 = 0. What is w?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.95824 - -0.04176. What is the nearest to -0.4 in -9, 2\/23, k?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2112))\/(sqrt(11) + sqrt(1331) + sqrt(1331)*-1) + sqrt(3888)*1 + 5)**2.\nAnswer: 440*sqrt(3) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b - 355 = -5*r, 2*b = 3*r + 167. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**2 - 852*y - 827*y - 8317*y.\nAnswer: -29*y**2 - 9996*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 9*m**2 - 21*m + 20. Let k be r(6). Let h(o) be the first derivative of 0*o + 4\/21*o**3 + 10 - 2\/7*o**k. Factor h(w).\nAnswer: 4*w*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97485759 is divided by 10514?\nAnswer: 10465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let i be v(5). Let s = 1 - i. Suppose 2*o - 100 = 5*y, -63*y + 61*y = -16. What is the highest common factor of o and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -22) + (1 - -3) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 12 + 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 - (4 + 1240\/(-80)). Let i*r**2 + 140*r + 1960 = 0. Calculate r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 + -68 - (-12 + -36 - (0 - (0 + -3)))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 4)*(14*s**4 + 7 - 7) + (2*s**3 - s**3 - 4*s**3)*(3*s + 0 + 0) in the form l*s**3 + h*s**4 + a*s**2 + u*s + r and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5439 + 2*u**3 + 2*u**3 - 3*u**3.\nAnswer: u**3 + 5439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 4*f + 6*f. Let k(o) be the first derivative of -o**4\/12 + o + 1. Let h(n) be the first derivative of k(n). Calculate c(h(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7523173 (base 9) in base 13?\nAnswer: ab18a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2c1 (base 14) to base 2\nAnswer: -1000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121 - 61. Let z = -18 - -33. What is the highest common divisor of x and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*c + 1644 - 119 = 0, 0 = 5*h - 4*c - 3862. List the prime factors of h.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149057847*s**3*y**3 - 12*s**3*y**2 + 1977*s**2*y**2 - 226*s**2*y wrt y.\nAnswer: 894347082*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2728398 divided by -3?\nAnswer: 909466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 609197313 to the nearest integer?\nAnswer: 24682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.001 bigger than 9.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*d - 74. Calculate the remainder when 77 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 39*g**2 + 2*g + 1. Let q be t(2). Let r = -93 + q. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319\/42 - 43\/6. What is the third smallest value in 4, x, 3, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 818\/8 + 5\/80*-4. Suppose -5*w - z = -117. Solve -s - 5 = w*g, s - g = 3*g - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72359604 is divided by 952?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 182397113 to the power of 1\/2, to the nearest integer?\nAnswer: 13505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -20*o**3 + 4*o**2 + 6*o + 9. Let r be h(-3). Let u = r - 559. Suppose -11 = -5*t + 9. Solve -t*g = -u*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Let d(k) = -k - 3. Let u(m) = d(m) + 3*l(m). Let x(b) = 5*b**2. Calculate u(x(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11 - 3 - 6 - 3*s - 5. Let z(a) = -6*a - 7. Determine -7*y(o) + 3*z(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -49*n - 5. Let q(h) = -2*h**2 - 2*h. Give q(w(m)).\nAnswer: -4802*m**2 - 882*m - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662 and 92371839?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827222.\nAnswer: 2, 11, 19, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diei when four letters picked without replacement from {e: 4, c: 1, i: 2, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (72 + (-17 - 3))) + -1 + 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704) + (sqrt(704) - (-2*sqrt(704) - sqrt(704))) + sqrt(704)).\nAnswer: -288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-81)\/(-108)*(-2 + 21).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from aaaabuuabuububaw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.372 + -24. Let w = 0.028 + g. Let z = 0.1 + 0. Which is the closest to z? (a) 1 (b) w (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-45) + (18\/20 - 2\/4). What is the smallest value in -4\/5, d, -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442432 (base 13) to base 7.\nAnswer: -16431631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -307057*o + 995. Let a(x) = 925*x - 3. Determine -1990*a(w) - 6*b(w).\nAnswer: 1592*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163670 is divided by 155.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*a - 53*a + 85 = -917. Let f = 1791\/5 + -357. Factor -2\/5 + 8\/5*u**a - f*u + 0*u**2.\nAnswer: 2*(u - 1)*(2*u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -32, -70?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3162 and -16.0388.\nAnswer: 5.07146856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -671, -811?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1991 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 0 + 0)*(-406*c - 45*c**2 + 406*c) + 20362 - 20362 - 409*c**3 to the form u + f*c + g*c**2 + y*c**3 and give y.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -5 - 1 - 0. Let j(p) = -p**3 - 2*p**3 + s*p**3 + p - 4 + 5*p**2 - p**3. Suppose -m = -3 - 2. What is j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -10.2. Let a = n - 9.72. Round a to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q + 5. Suppose 0 = 46*w - 45*w - 1. Let t be f(w). Let g(r) = 2*r**2 + 7*r - 7. What is g(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 181772624?\nAnswer: -181772623.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 3825885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfnfhnhanvo. Give prob of sequence ano.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*b - 5406, 2*m + 1340 = 3*m + 5*b. Suppose -10*a - 20*a + m = 0. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o - 17428 = -532. Is -512 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*w**2 - 12*h**2*w - h*w**3 - 2*w**3 - 24*w wrt h.\nAnswer: -4*h*w**2 - 24*h*w - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m + 4*m. Let g(v) = v. Calculate g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*y + 64*y - 8*y**2 + 59*y + 63*y + 85*y - 35.\nAnswer: -8*y**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 3*z - 12. Let x be f(6). Sort -2, x, -3 in decreasing order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29024, -111282, -248378, -440312?\n\"Answer: -27419*g**2 - g - 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342 - 287. Let i be 2\/(-6) + 67\/3. Calculate the highest common factor of i and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060*s**3 + 3 + 1072*s**3 - 5 + 2 - 2143*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*m + 4 = -z, 0 = z + 2*m - 10. Let v = 4 - z. Find y such that 0*y**2 + 4*y**2 + v*y**2 - 2*y**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25583752.\nAnswer: 2, 389, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b + 0*b - b)*(0 - 1 + 2)*(3 - 3 - 3*b)*(2 + 4*b - 2)*(-4*b + 86 - 86) to u*b**4 + c*b**2 + l*b + d + g*b**3 and give u.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -737 (base 15) to base 14.\nAnswer: -843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762 divided by 19?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3472*m - 45829 + 52018 = 127709 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - 8. Let p = n + 77.5. Which is the fourth biggest value? (a) 0.3 (b) -4 (c) p (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 9*b + 1. Let u be h(9). Suppose -o = -y - 1, 2*o - 1 = u. Suppose 2*d - 4 = 3*l, 2*d - 4*l = -d + 4. What is the nearest to -1 in d, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3)*96\/(-4). Suppose 3*w - 2*a + 55 = 84, -5*w + 18 = a. Solve m + 2*k - x = 2*m, 0 = m + w*k - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2266 - -2266. Let v - 6\/7*s + 0*s**3 + 3*s**2 - 27\/7*s**4 = 0. What is s?\nAnswer: -1, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 9*h**2 - 16*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/128 of a hour?\nAnswer: 84375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232.9 + -35.9. Let i = w + -196.99615. Round i to 4 decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -5, -2\/7 in increasing order.\nAnswer: -5, -2\/7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 - u**4\/3 - u**3\/2 - 3*u**2 - 3*u. Determine l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + c**2 + c**2)*(238 + 275 - 59).\nAnswer: -454*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007603 * -1.\nAnswer: 0.007603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = m - 18. Let z be (-9)\/(-4)*(-5)\/(-90)*m. Which is smaller: z or 30?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/10)\/r)\/r*r*r**2*r)**(-37) assuming r is positive.\nAnswer: r**(-1517\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -272 - 62?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 6*n + 4. Let v(d) be the first derivative of -2*d**3 + 15*d**2 - 21*d - 4. Let r(u) = -21*j(u) - 4*v(u). Factor r(t).\nAnswer: 3*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130371566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 + (4 - -21 - 4 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) 2\/13 (c) -0.16 (d) -5 (e) -15 (f) 385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 453 + -466. What are the prime factors of 708 + g\/(78\/48)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48751514 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 224, 417, 912, 1859, 3408, 5709, 8912?\n\"Answer: 25*z**3 + z**2 + 15*z + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*f - 4 = 4, -2 = -f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 570077616 + -0.1\nAnswer: 570077615.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v = 4*m - 18, -v = 4*m - 10. Suppose m*l - 41 - 67 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*s + 729*s - 23 = 5*h, -5*s = 4*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + w**2 - 3*w**2 + (1 - 2 + 5)*(-1 + 1 - w)*(19 + 4*w - 19) to the form k + v*w + g*w**2 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 60.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.5, -0.7.\nAnswer: -0.7, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 1 in increasing order.\nAnswer: -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -1167?\nAnswer: -16338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i**2 + 39*i + 274. What are the prime factors of u(-10)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-2)*(-238)\/1785*1\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Suppose -2*r - 2*g + 4 = 0, 2*g + 1 = -n*r + 5. Suppose 3*d - 69 = 5*t, 3*d + r*d + 3*t - 45 = 0. Round d to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 100*d**2 - 280*d + 91. Give a(-47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218599066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2059*j + 2063*j + 138 = -0*p, -74 = 2*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a - 155*a + 409*a + 130*a + 454*a to m + v*a and give v.\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 40 = 0. Suppose -g = 5*x, -x - x - 29 = -3*u. Suppose 2 = 2*k, 0 = t - 3*t + 5*k + 11. Solve -u = -3*z + t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7485*a**2*g**3*v + 13*a**2*g*v**2 - 3*a*g**3 + 15*a*g**2*v**2 + 4*a*g*v**2 - 134*a*g wrt a.\nAnswer: 14970*g**3*v + 26*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.016 (b) 0.1 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*n - 4724 = -4656, 3*i + 39 = -2*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 = 0, 244*k - 147*k = 133*k - n + 323 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*h - 4*z - 14 = 284*h, 2*h + 24 = -4*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 124*r - 45*r - 43*r - 39*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1320?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.95196 + 0.04804. What is the nearest to -5 in -1\/2, 0.4, w, -12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8769 + 8713. What is the nearest to b in 2, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 99 = 3*g, 7*d - 2*d - 3*g = 171. Let r = -1313\/87 - 36\/29. Calculate the common denominator of 0 - (-2)\/(d\/(-93)) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/w**(2\/41)*w\/(w*w\/(w**(-2\/3)\/w)) assuming w is positive.\nAnswer: w**(35\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111520 and 3230144.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10222 - 7881 = -4*u + 5*p, -u + 4528 = p. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**2 - 5*h - 2. Let l be u(-1). Is l not equal to -70\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 + 791 - (1 + 6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/11*(-2)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70014370?\nAnswer: 2, 5, 7001437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 57. Let r(u) = u**3 + 13*u**2 + 22*u + 14. What is the tens digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.294 rounded to 0 decimal places?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let j(h) = -6*h**2 - 12. What is j(y(o))?\nAnswer: -6*o**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 38*q - 21270. What are the prime factors of q?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-11145.\nAnswer: -100305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*sqrt(49)\/(sqrt(21)\/sqrt(3)) + 1 + -5.\nAnswer: -30*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 + 188761*n\/2 + 566281\/3.\nAnswer: (n + 2)*(n + 566281)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + 44. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 2067861.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1470 + 746. Suppose 0 = -5*o - 2*t + 2217, -2*o - m = -7*o - t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 2, k: 1, m: 1, x: 1, v: 1}. Give prob of picking 1 m and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*i + 34, 3*z + z + 4*i = 24. Let x = z + -5. Solve -t + 12 = x*l, 5*t - 2*t + 3*l - 12 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019210 is divided by 20797?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 16*b - 22. Suppose -2*c + 99 = c. Calculate the remainder when c is divided by k(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 29*b + 11. Suppose 0 = -12*j + 422 + 1654. What is the remainder when j is divided by f(14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 168*w + 0 + 0*w**2 - 5\/3*w**3. Let x(i) = 4*i + 3*i - 6*i. Calculate -6*b(j) - 65*x(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:32 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/11, 3\/2, -0.03, 4, -2\/119, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3*(-16)\/(-24). Suppose -3*k + 1 + v = 0. Let t be ((-8)\/14 - k) + 1. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*c = -27, v + 5*c = 16 + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/38, -4, 0.5, -5, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.5, -15\/38, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 1. Let d(z) = -4*z**2 + 1. Give -4*d(r) + 9*h(r).\nAnswer: -2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 11. Let g be (-2)\/5 - 72\/(-5). Let i be 4\/(-7) + (-202)\/g. Let h be s(i). Which is the closest to -1? (a) -5 (b) -1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 8918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -992.8312 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 1\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.424 - 22.767722312.\nAnswer: -24.191722312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 0?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2\/(-4))\/((-49)\/24 - -2) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65156 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:17 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.2749819 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + f - 1. Let u(d) = 6*d**2 + 2198*d + 708. Let y(r) = -4*n(r) + u(r). What is the derivative of y(c) wrt c?\nAnswer: -4*c + 2194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -201, -398, -625, -882, -1169?\n\"Answer: -15*c**2 - 152*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.3897076 - 30.39. Round v to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -90\/11*h - 2\/11*h**4 - 2*h**3 + 0 - 78\/11*h**2 = 0. Calculate h.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 788791 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 398.00000636 + -398. What is h rounded to seven decimal places?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 - (-230)\/(-120)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47840 divided by -3680\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -61\/2. Let j = 321 - 326. Which is the second smallest value? (a) o (b) j (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 28*t**2 + 2*t + 60. Let v be b(-28). Suppose -v*k = 5*y - 2 - 2, 3*y = -2*k. Calculate the remainder when 12 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4002206?\nAnswer: 2, 13, 59, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1628925 and 1?\nAnswer: 1628924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 30*b**2 + 3*b - 2. Let z be n(1). Let j(m) = -33*m + z*m + 1 - 3 - 2*m**3 + 4*m**2. Determine j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1400 = -5*i, b - 444 - 676 = -4*i. Suppose -8*z + i = -496. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4305 (base 8) in base 16?\nAnswer: -8c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*z + 1\/5*z**2 - 12\/5.\nAnswer: (z - 4)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**5*r + 2*k**4*r - 2*k**3*l*r + k**2*r + 7*k*l + 4*r wrt k?\nAnswer: 300*k**2*r + 48*k*r - 12*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -16*n**3 - 21*n**2 + 32*n + 22. Let g(w) = -1865*w**3 - 10 - w + 10*w**2 - 14*w + 1872*w**3. Let p(r) = 3*c(r) + 7*g(r). Determine p(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10309 - -10353. Solve k = -10*b + 104 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmlmmmmmmmmfmmmmmm. Give prob of sequence lf.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5005 and 324610?\nAnswer: 2272270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-30)*90\/(-36)*-4*11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2686 and 121\/790.\nAnswer: 13430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**3 + 8*t**3 + 15*t**3 - 39*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 46 = -w, w + 3*x + 0 = 6. Calculate the greatest common divisor of w and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10198362 to the nearest integer?\nAnswer: 3193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*b = -23, 5*b - 1 = -5*r + 4. Let h = r + -10. Let c(y) = y**3 + 5*y**2 - 4*y + 8. Let q be c(-6). Is h <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnzntlee. Give prob of picking 1 w, 1 t, and 2 n.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**7\/630 + a**5\/180 + 5*a**2 + 25. Let k(b) be the second derivative of o(b). Suppose k(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4 - 9838*h**3 + 24186672*h**2 + 48885120*h - 1161907200 = 0.\nAnswer: -8, 6, 4920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, 4, 2.\nAnswer: 2, 3.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 91 = -0*g - 0*g + 90*c - 533, 3*c - 15 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2, -1.82, 9\/5, 3, 0.5.\nAnswer: -2, -1.82, 2\/13, 0.5, 9\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11741 at least 18688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 - 1.6. Suppose -w + 22 = -3*w. Let c = w - -7. Put m, 1, c in descending order.\nAnswer: 1, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1830 + 10230 + 2086)*(-3 - 1 + 2 - q).\nAnswer: -10486*q - 20972","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145 times -7012?\nAnswer: -1016.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 9*b - 4*b + 19, 0 = 5*b + 25. Differentiate -1 + 4*i**x + 4 - 7 with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10782 is divided by 2668?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66770295 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 66064905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/110 + g**3\/33 + g. Determine s so that q(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -744489 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 2*c - 3*c)*(0 + 0 - 2)*(64 + 69 + 107) to r*c + s and give r.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.4. Let t(y) = -y**2 + 4 - 5 - 4. Let z be t(0). Sort 0.3, k, z in decreasing order.\nAnswer: k, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 7. Let c be ((-24)\/(-20))\/(7\/35). Let g(y) = -10*y + 13. Let n(s) = -21*s + 26. Let q(h) = c*n(h) - 13*g(h). Calculate -7*k(d) - 4*q(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*q - 8, 3*n - 8*n + 5 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-35)*38\/(-285).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 120515755?\nAnswer: -120515753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3026*f**5 + 17*f**4 - 6*f**3 - 1438204*f**2 + 1 wrt f?\nAnswer: 181560*f**2 + 408*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*g - 36*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -94. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 5*g**2 + 6*g + 18. Let j be u(-4). Let i = 26 + j. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/702 and -109\/186?\nAnswer: 21762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b**4 + 2 - b + 0*b + 0 - 13*b**4 to k*b**2 + a*b**4 + h + t*b + u*b**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((150\/(-45))\/10)\/(((-50)\/24)\/5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/(x\/x**(1\/11)))\/(x\/x**35*x)**(-20\/3) assuming x is positive.\nAnswer: x**(-2507\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 3*f - 7. Does 2 divide n(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 5:32 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 160. Let q(y) = -2*y - 8. Let c be q(f). Is c bigger than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 580332277 or 580332278?\nAnswer: 580332278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -1.3. Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -f + 4*w, -f + 3*w + 278 = f. Suppose 6*n - 13 = -f. Do -21 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4 - 10218*s**3 - 10221*s**2 + 20438*s = 0. Calculate s.\nAnswer: -2, 0, 1, 10219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.12, 2\/3, -7, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 597, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51298.5 and -0.5?\nAnswer: -25649.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227590 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81, -1291, -4577, -10977, -21529, -37271, -59241, -88477?\n\"Answer: -173*q**3 + q + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 9\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 9\/(324\/(-99)). Suppose -4*m + m + 2346 = -j*s, 0 = m - 2*s - 784. What are the prime factors of m?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.276427 rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 2. Let y = 21.37 - 21.47. Which is the fourth smallest value? (a) -6 (b) -3\/4 (c) z (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*f - 454*f - 292 = 1471 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189886233?\nAnswer: 3, 63295411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 11. Let x = 6 + -12. Let r be l(x). Solve -5*q + q - r*i = -40, q = -4*i + 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-121)\/((-7986)\/(-220)))\/(2\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 20*r**2 - 37*r + 554. Determine k(-11).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17372452 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*f**2 + 247*f**2 - 62*f**2 - 60*f**2 - 64*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4123404044 - 1?\nAnswer: -4123404100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/18*3)\/(4\/(-12)). What is the smallest common multiple of (o - (-35)\/25)*(7 + 993) and 6?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -49. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 19 + -3*1. Suppose -2*r + 7*r - 54 = -3*f, 0 = 2*r - f - c. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffafafaafffffaaff. What is prob of sequence faaa?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5397 + 8850. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b + 47*b = -24. Suppose 2*f + 2*z + 8 = 0, -5*f + z = -0*f - 4. Suppose f*y + b*y = 96. What is the smallest common multiple of 12 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b + 8*b + 2*b**4 - 19*b - 2*b**3 + 24 - 40 + b**2 + 20 to the form d*b**3 + y*b + i*b**2 + p + o*b**4 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 667466.52 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = f - 2, 2*f - 3*k - 14 = f. Let x = 333 - 273. Suppose f*g - 5*g = x. Solve 2*s - 6*s = -g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8 + 2*d**2 + 6*d - 12*d - d**2. Let c be r(4). Solve c = 2*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*a - 0 + 11, 14 = m - 3*a. Suppose 4*g + 2*f = 3*f + 59, -2*g - m*f = -13. Let n = -11 + g. Calculate the remainder when 3 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/(1 - 0). Let x = p + 2. Factor u - x*u - u**5 + 2*u**3 + 0*u**3.\nAnswer: -u*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 (base 9) in base 14?\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c - 3. Let f(h) = 1. Give -3*f(i) - z(i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 898 - 59. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2379*t**3 + 6*t**2 - 66*t + 2. Let k(s) = -2378*s**3 + 7*s**2 - 88*s + 3. What is 4*i(j) - 3*k(j)?\nAnswer: -2382*j**3 + 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 1. Let c(z) = 2*z. Let m(w) = 4*w + 28. Let t be m(-8). Give t*x(i) - 5*c(i).\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33372 divided by -2781.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 23*u - 2. Let i(o) = 1 - 6 + 3*o**2 - o**2 + 5. What is h(i(p))?\nAnswer: 46*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 46*v - 522. What is s(-55)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177366643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**4\/6 + s**3\/6 - 112*s. Let x(t) = 10*t**2 + 6*t - 1. Suppose 0 = c - 6 + 4. Calculate c*x(f) - 11*p(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -247. Let h = b - 121. Suppose 25 = 56*m - h*m. Calculate the remainder when 18 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1647770*u**6 - 238*u**2 - 100*u - 2?\nAnswer: -197732400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373980*b**2*m**3 + 33*b**2*m**2 - 91*b*m**3 + 10*m**2 - 306329*m wrt m.\nAnswer: 2243880*b**2 - 546*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -929*a*k**3 + 12*a*k - a - k**2 wrt k?\nAnswer: -5574*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -26 + 10*q - 4\/5*q**5 + 0*q**2 + 7\/4*q**4 + 0*q**3. What is the first derivative of v(u) wrt u?\nAnswer: -16*u**3 + 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -495*28\/(12740\/91).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -913 + 6379\/7. Let j(k) = -k - 20. Let t be j(-25). Let l(c) = -75*c + 374. Let i be l(t). Is f less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28031 - -28206. Which is the fifth smallest value? (a) 1 (b) j (c) -1 (d) 0.2 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/8 + 0 - (-8)\/4. Let j(l) be the second derivative of 0 + 2*l - c*l**3 + 1\/20*l**5 + l**2 + 0*l**4. Find f such that j(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/6 + 1253*a**2\/3 + 404345*a\/6 + 8438800\/3 = 0 for a.\nAnswer: -2336, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 110?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 156*g**4 + 48*g**3 - 117*g**2 + 3*g + 12 = 0. Calculate g.\nAnswer: -1, -4\/13, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o*w**2*y - 3*o*w**2 - 85*o*w + 2*o - 92*w**2*y + w**2 - 10*w*y - 3*y wrt o?\nAnswer: -4*w**2*y - 3*w**2 - 85*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**15*q*q\/q**28*q*q*q)**(-1\/74) assuming q is positive.\nAnswer: q**(4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 27. Calculate the greatest common factor of i and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3027\/110*(-28)\/12. Let f = p - -736\/11. Calculate the common denominator of f and ((-18)\/(-60))\/((-54)\/(-10)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 707 - 703. Suppose -p = -2*p. Which is the third smallest value? (a) w (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/(20\/25 + 1415\/(-1800)). What is the highest common factor of 6128 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 16) to base 9.\nAnswer: -731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-2*v**2 + 4*v**2 - 3*v**2)*(-8 + 42 + 41).\nAnswer: -150*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:01 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) -2\/7 (b) -0.4 (c) -4 (d) 0 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/120 - 3*i**5\/20 + i**4\/24 + 3*i**3\/2 + i**2. Let p = 1812 + -1613. Suppose 72*z - p + 847 = 0. Calculate j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 670925 or 3354619\/5?\nAnswer: 3354619\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -5*p**5\/4 - 11*p**3\/6 + p - 7. Let o(y) be the first derivative of c(y). Find the second derivative of o(x) wrt x.\nAnswer: -150*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1343, -2699, -4055, -5411, -6767, -8123?\n\"Answer: -1356*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14979312 divided by -10761.\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 = 118*f + 406 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8\/61 - -406\/305. Is v > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6274*c**2*o - 5*c*o + 2*o + 677 wrt c?\nAnswer: -12548*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657113 is divided by 93.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 205*p + 3661. Determine d(24).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**2 - 9*j + 1. Let b(s) = -17*s**2 - 18*s + 1. Let v(o) = 6*b(o) - 13*w(o). Is 15 a factor of v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u + 2. Let s(k) = -2*k - 1047. Determine s(r(t)).\nAnswer: 22*t - 1051","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -95910137756630.\nAnswer: -95910137756631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 739148256 and 12672.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -71 (b) -1 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.91 + 58.91. Let a = -2 + 1. What is the closest to a in 0.1, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpccp. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -114851124?\nAnswer: 114851120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -72558 and -72558 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - -93. Suppose 4*l + 0 = 16. What is the remainder when (-40)\/6*s\/(-105) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/182 and 9\/320593.\nAnswer: 641186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 + 2 = 0. Suppose q*b - 13 = -2*g, -3*g = -2*b - 2*b - 11. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81544575 times -0.9\nAnswer: -73390117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232 - -21112323?\nAnswer: 21112555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0 - (-1 - -444). Let k be z\/(-7) - 36\/126. Let p = 125 - k. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 70*c**3 - 214*c**2 + 152*c - 8 = 0.\nAnswer: 2\/35, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/24 + (-18)\/(-4). Let n(y) = -q*y - 3*y - 8*y. Let m(p) = 3*p**2. Let o(u) = -10*u**2. Let a(l) = -7*m(l) - 2*o(l). What is n(a(i))?\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8576 and 3082?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 1 c when three letters picked without replacement from {j: 8, c: 2, m: 1, l: 2, o: 2, x: 4}?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 646 - -111?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7165*v**2 + 3 + 3*v**3 - 7161*v**2 + 2 as q*v**2 + t + n*v**3 + m*v and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1056*m**2 + 478 + 591 + 2*m - 1069.\nAnswer: -1056*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 895873446 divided by 22389\nAnswer: 40014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d - 4*d)*(-332 - 524 - 121).\nAnswer: 2931*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 12 - 7*y**2 + 6*y**2 + 46 - 2*y**2 - 13.\nAnswer: -3*y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16962 divided by -2\nAnswer: 8481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1495 and 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -918.1?\nAnswer: 459.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/50*1080\/162. Sort -0.8, -4, -2, z.\nAnswer: z, -4, -2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (5 + 13\/(39\/(-42))). Solve -2*a = 2*b - 2, 24 = -3*a + p*a + 4*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2672.1 - 2672.3. Which is the nearest to s? (a) -0.2 (b) -20 (c) -9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1314)\/(-45)*(0 + 5). What is the third derivative of 44*m**4 - s*m**4 - 1 - 12*m**4 + 10*m**2 wrt m?\nAnswer: -2736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83603\/(-65)*-5 + -10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/700553 and 27\/29435?\nAnswer: 3502765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -288.97, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84\/(-45) - -2) + 981407\/4935. Solve -32*l + h - 7 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbebtbttttebe. Give prob of picking 1 b and 3 e.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + 1. Let r = 0.552 + s. Let y = 5.052 - r. What is the second biggest value in 4, -12, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 32 = 91. Let n = 417 + -345. Let l = n + g. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 + 7442*v**4 + 10411*v**3 + 2974*v**2 = 0. Calculate v.\nAnswer: -1487, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2922 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 b when four letters picked without replacement from {c: 8, b: 5, i: 5}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54*(-2 + 44\/20) and 18\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65345, -129815, -194257, -258665, -323033, -387355, -451625, -515837?\nAnswer: -579985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6\/(j\/(j*j*j*(j\/(j**(-4\/3)*j)*j*j)\/j*j*j))*(j**(-1))**(-9\/11)*j*j**(-3)*j\/(j*j**(-7)*j)*j**(1\/3)\/j*j*j*j**(-2\/7) assuming j is positive.\nAnswer: j**(4204\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 8*g**3 + 748962*g**2 - 3557858*g - 10111500 = 0.\nAnswer: -93625, -2, 27\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 525353.\nAnswer: 525353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, d: 1, t: 3, k: 1, h: 3, q: 3}. Give prob of picking 3 h.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 23 = -1. Let r = 87 + -51. Let k = r - 22. Solve o*a = 2*a + j - k, -4*a + 5*j = 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 2. Let v(q) = 5*q + 6. Determine 5*r(h) - 2*v(h).\nAnswer: 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(48) - sqrt(3)) + 0 + 1*sqrt(13).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 827971124 to the power of 1\/4, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83666690 and 35530?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 237, 220, 177, 96, -35, -228?\n\"Answer: -2*c**3 - c**2 + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.47 - -0.97. Sort 1, 1.5, j.\nAnswer: j, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - 9*w + 39. Let q be j(13). Suppose 5*r = 246 - q. Let a = 137 + r. Sort -11, 2, a in decreasing order.\nAnswer: 2, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = 0, -5*p = -10*p - h - 12. Does -1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -10. Suppose -2*g = 3*n + 12, -5*n - 22 = -2*g + 6*g. Is n\/o*(3 + -21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1675.283759 to the nearest 10.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47330445 is divided by 174.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101122011 + 1?\nAnswer: 21101122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(96)*-1)\/sqrt(8)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 16*o**2 - 98*o - 7. Let p be r(-13). Suppose -p - 1292 = -57*s. Solve 6*m = -3*m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*c + 21. Suppose -11 + 4 = 2*k - o, c = -5*k - 2*o. Let g = -1 - -1. Sort g, k, 4 in decreasing order.\nAnswer: 4, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -20.06. Which is smaller: t or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 0.36. Let u = -96.1 - -97.1. Let f = -33.9 + 34.1. Which is the nearest to f? (a) u (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445529311.\nAnswer: 445529311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142 - 286 - 3*l + 140 - 27*l to the form x + o*l and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(10\/(-50)) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 - -120. Sort r, -9, -5.\nAnswer: -9, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101766 = -0*b - 14*b + 12488. What are the prime factors of b?\nAnswer: 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4413172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107.1 * 16135.\nAnswer: -1728058.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 0*i - 6*i)*(-19 + 2*i + 3 + 7) as p*i**2 + w*i + x and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjfjjjjdjj. What is prob of picking 1 f and 2 j?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48733.\nAnswer: 48733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -57. Suppose -25*d = -a*d + 10. Let o(z) be the third derivative of z**6\/30 + z**5\/20 + z**4\/12 - z**3\/3 + 13*z**2. Give o(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 + -1 + (-4 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1571552\/5 + -313141. Let a = w - 1178. Calculate the common denominator of -29\/5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2. Let s(k) = 266936*k. What is i(s(q))?\nAnswer: 213764484288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**2 + 6*g - 5334. Let v(t) = -2 + 0 + 5 - 4. Give p(u) + 2*v(u).\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1052845, 4210638, 9473627, 16841812, 26315193?\nAnswer: 37893770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20563, -40950, -61159, -81190?\n\"Answer: 89*y**2 - 20654*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8419633, -8419590, -8419547?\nAnswer: -8419504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 3*m**3 - 5*m**2 + 1 - 1. Let f be k(2). Let c be f\/3 - (-3 + 1). Solve -7*p - 4 = -c*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3176852.\nAnswer: -1\/1588426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9339\/(-5)*(107 + -117)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 11*j**3\/6 + 23*j. Let p(s) = -155*s. Suppose 3*u + 2*l - 265 = 0, -5*u + 2*l = -4*u - 75. What is u*y(h) + 6*p(h)?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91096?\nAnswer: 2, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.4988 + 10266.\nAnswer: 10253.5012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 5) to base 9.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 18. Let d(y) be the third derivative of -1\/180*y**6 + 0*y + 0*y**r - 1\/36*y**4 + 1\/45*y**5 + 0 + 4*y**2. What is q in d(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15*j**2 - 42*j + 42. What is w(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1372 and (16 + (-380)\/24)\/((-147)\/127).\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:00 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1077 - 0.0477. What is the fourth biggest value in 2\/11, 4, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -17, -16, -11, -2, 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 - 172*s - 328 = 0. Calculate s.\nAnswer: -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14038 (base 11) to base 13\nAnswer: 914c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -43 + (-1)\/2 + (-4)\/(-8). Let g = k - -58. Let s(y) = y**2 - 12*y + 35. What is the tens digit of s(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 124 = -16*q - 4*l, -q = 4*l - 70. What is the lowest common multiple of q and 1*(2 - 1)*9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 7) to base 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 1034 + 314. Suppose 0 = -3*f - 3*d + 120, -6*d + c = 3*f - 4*d. Suppose -100 = -3*x + 2*x. Calculate the highest common divisor of x and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**3 + 4*u**2 + 5*u + 5. What is the tens digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 21 (b) -13 (c) 2\/770177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*1\/2*6. Let u(i) = -2*i**3 - 1 - 4*i**k - i**2 + 3*i**3 + 3*i + 2*i**3. Let n(t) = 2*t**3 + t**2 - 1. Let z be n(1). What is u(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 746*k - 667*k - 72303565. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 9*h + 4. Let k be -2 + -4 + 2 - 5. Let m be l(k). Solve 2*f - 5*f - 2*a - 2 = 0, m*f + 41 = 5*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0 - 4*a - 13\/40*a**5 + 19\/24*a**4 + 1\/2*a**2 - 11\/12*a**3 + 1\/20*a**6. What is k in p(k) = 0?\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254\/9 + 1261\/45. Which is the nearest to 2\/7? (a) t (b) 5 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 8. Suppose -6 = -k*s + s. Suppose -25 = c - s*c. Sort 1\/3, c, -3\/2 in decreasing order.\nAnswer: c, 1\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10073\/318 + -95\/3. Let v = 1822027\/473979 - 4\/2981. Let t = v - p. Find the common denominator of -34 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 340 = -12*s. Let a = -64 - s. Suppose -a*u - 268 = -1068. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 169, 9, 4 in ascending order.\nAnswer: -12, 4, 9, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/6 + (-13 - -2). Let q(m) = 6*m - 1. Let r be q(f). Let o = r + 100. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 5883*c**3 + 3364722*c**2.\nAnswer: c**2*(c - 5241)*(c - 642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/8)\/((p\/p**(-4))\/p))**(-6\/17)*(p**2\/p*((p*p**(1\/2)\/p)\/p)\/p)\/(p**(-4)*p*p**(-1\/13)\/p) assuming p is positive.\nAnswer: p**(4371\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 3*d**3 - d**3 + (2*d**2 + 0*d**2 - 5*d**2)*(0*d + 3*d - 4*d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.847 + 0.153. What is the closest to 8 in u, -4, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13390, 20585, 27790, 35011, 42254?\nAnswer: 49525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173185 + -117942. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 16 = 26. Put -1, 0, y in decreasing order.\nAnswer: 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o**(-6))**42*(((o*o**(2\/3))\/o)**(2\/43))**42 assuming o is positive.\nAnswer: o**(10892\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mumlmlmmmlmmlllmau. Give prob of picking 3 m.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21360 divided by -4\nAnswer: 5340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4838 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 480592 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*n + 38*n - 21. Solve -4*x + 3 = -n*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 v when three letters picked without replacement from bvdvc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -133. Which is the third biggest value? (a) t (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*t = -227*t + 120 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 36664 + 2*x - 4*x - 3*x.\nAnswer: -x - 36664","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 69126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxs when three letters picked without replacement from ssssyyxsxysxxxyxxyy?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(32)*3).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 892*g + 27324. Give i(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3712, -14963, -33734, -60025?\nAnswer: -93836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((19 - 60) + 17 - -45) + -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 138 = 387. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (489 + 493 - 772 + 2*z**2)*(z**3 + 2*z**2 - 2*z**2).\nAnswer: 2*z**5 + 210*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345354 and 178.\nAnswer: 30736506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 3) in base 10?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52156 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 7, a: 4, c: 2}. What is prob of sequence acc?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 6. Let q be a(5). Solve 0*k - q*k = -3*z - 8, -2*z = 5*k - 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9279 rounded to the nearest 100?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3290 is divided by 2960?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -n, -n - 199 = 4*l. Let h = -36 - l. What is the second derivative of 41*d - 13 - 18*d**4 + h wrt d?\nAnswer: -216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10 - 9 - 30*w**2 + 33*w**3 - 1 wrt w.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -988\/193 - -160277\/34740. What is the common denominator of d and (9\/(-45))\/(72\/1130)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100101001?\nAnswer: -100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 83. Let v = t + -278\/7. Let f = 2 + -3. Which is the nearest to -1? (a) -3\/5 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 2*v**2 + v + 47. List the prime factors of n(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5235 divided by 5235.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(162) + 0 + 1 - sqrt(162)) + -5*sqrt(162)*2 - (-2 + 2*sqrt(162) + 2 + sqrt(162)*2 + sqrt(162) + sqrt(162)))**2.\nAnswer: -288*sqrt(2) + 41469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -6319*b**4\/4 + 157981*b**3\/8 - 37989*b**2\/8 - 227475*b\/4 + 27 = 0?\nAnswer: -3\/2, 3\/6319, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 305\/3*n + 5*n**2 - 550\/3.\nAnswer: 5*(n + 22)*(3*n - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.944 + -11. Let h = 0.05600027 + s. Round h to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 970*n + 4*n**3 - 1645*n - 2*n**3 to the form m*n**3 + u + r*n**2 + h*n and give h.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, -2003, 1 in ascending order.\nAnswer: -2003, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(162))*1.\nAnswer: 3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 654516 = -654096 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -200.3 * 0.289453\nAnswer: -57.9774359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**7\/630 + 7*y**6\/240 + 31*y**5\/60 - 16*y**2. Let r(g) be the third derivative of q(g). Differentiate r(w) wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -28. What is the third smallest value in -0.4, t, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 102, 128, 158, 192, 230, 272?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97*d**2 + 2156*d + 237311?\nAnswer: -194*d + 2156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 35 = -2*w + 129, 3*n = 4*w + 88. Calculate the greatest common factor of 944 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.7. Let s be ((-50)\/(-5))\/5 - 4. Let c = 0.1 - 0.1. Sort c, k, s in increasing order.\nAnswer: s, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Let j be (-8)\/28 - 18\/(-14). Put j, -5, i in ascending order.\nAnswer: -5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - -144 - 770\/22.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18535 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -13. Suppose -s - 4*s = a. What is the nearest to s in 0.5, -4\/9, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282\/4 + (-55564)\/958.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((6 - -8) + -6 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 13*p + 56. Let w(l) = l**2 - 7*l - 3. Let j be w(p). Suppose 0 = 2*n - j*n. Solve 3*b - 7*b + 4 = n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 783 and -11364.6.\nAnswer: -10581.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0245*2\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -m - 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 39, 77, 135, 219, 335, 489, 687?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 25. Let n(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 9*x - 57. Let d be n(h). Are d and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.0851, 2, -5 in descending order.\nAnswer: 14, 2, -0.0851, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 253.\nAnswer: -5313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -2456642?\nAnswer: 245664.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6290 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642199.\nAnswer: 13, 126323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(sqrt(176) - (sqrt(176) - sqrt(176)*4*6)))**2 + (1*sqrt(176)*4 + 4)*-2.\nAnswer: -5474312 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5440 - 8?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 5*o + 510 - 465, 3*p + 3*o = 4*o - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*p + 0*p = 15 - 53, -181*p = -5*s + 21*p - 39*p - 785 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(40)\/sqrt(5))**2*-6.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5098, -5107, -5116?\nAnswer: -5125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6784 = 3*u + 5*c + 1190, -5*u = -c - 9286. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -42. Let w = k - 36. Suppose -5*u + 0*u + 20 = w. What is the greatest common factor of 36 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 6. Suppose 22*s = 27*s - 10. Sort -0.1, 1, r, s in ascending order.\nAnswer: r, -0.1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -46*b + p + 50, -4*b - 84 = -4*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*v = -48*v - 32 + 8. Let d(w) be the first derivative of 20 + 0*w - 1\/2*w**v. Calculate d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-21) - (-4)\/14. Let g be 1*(2 + -1 + -86). Let v be (-3)\/(-12) - g\/(-20). Sort -2, h, v in decreasing order.\nAnswer: h, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 86. Which is greater: -19\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14536349 is divided by 1543?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 - 0.13. Suppose -199*g + 221*g + 110 = 0. Which is the second smallest value? (a) -3.9 (b) t (c) g (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(1\/2). Let z = -1 + o. Which is the closest to z? (a) 1\/7 (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 x when three letters picked without replacement from {x: 2, y: 11}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.99 - 0.01. Let u = -16 - d. Let s = -551\/20 - -107\/4. Which is the second smallest value? (a) s (b) u (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbgd when four letters picked without replacement from gggddgb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -5 + 3)*5. Let t(s) = s**3 + 10*s**2 + 11*s + 16. Let o be t(-9). Let v be ((-230)\/(-15) + -10)\/(o\/(-3)). Solve -v = -u*d - 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 - (3 + -8). Let f(d) = 10*d - s*d - 6*d + 2*d. Let i(p) = -2*p. Calculate -6*f(y) - 4*i(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35496 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + 2. Let u = -1.03 - -81.03. Let f = q - u. Is f less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/369 and -15\/533?\nAnswer: 4797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 22 - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -24*c**3 + 2*c**2 + c. Let x be j(-1). Let y = -6 + x. What is the remainder when 36 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 105*u**2 - 115*u - 944. Let r be p(-106). Suppose 3 = t, m + t = -3*m + 143. Solve -r*j + 5 = m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v + 4. Let q be b(-4). Suppose -q = -3*z - 4. Suppose 0 = 4*g - s - 3 + 4, -z*s = 3*g - 4. Solve x + g = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 876803*j*p - 8364*j + 58*p - 3449 wrt p.\nAnswer: 876803*j + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 879 - -403?\nAnswer: c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 7070.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4113475793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d - 35. Let i(x) = 173*x**2 + 3. Calculate c(i(h)).\nAnswer: -2422*h**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 20 = -5*g, -7*g = -2*o - 2*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4494, -8994, -13494, -17994, -22494?\n\"Answer: -4500*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 495 + 45 = 0. Suppose -5*a = -0*a + u. Let d = -20 - a. Calculate the lowest common multiple of 16 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613766, 613824, 613882, 613940, 613998?\nAnswer: 614056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2\/31, 1, -0.3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 + -538 - (2 - 1 - -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 4\/9, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*i - 2)*(5 + 17 + 3)*(166*i**2 - 54*i**2 + 1 - 779*i**2).\nAnswer: 33350*i**3 - 50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/((n*n**0)\/n*n))**(2\/77)*(n\/n**(-3))**(-46) assuming n is positive.\nAnswer: n**(-14164\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100011102 - -1110012?\nAnswer: -10021201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 4:34 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**3 + 2*u**2*z - 2*u**2 + 40*u + z + 1676 with respect to u.\nAnswer: 6*u**2 + 4*u*z - 4*u + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 504092, 504123, 504154?\n\"Answer: 31*d + 504061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = -27*l + 21*l - 32. Which is the third smallest value? (a) 3 (b) -0.3 (c) l (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304311.89 rounded to the nearest 1000?\nAnswer: 304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 4, r: 1, d: 1}. What is prob of picking 1 o and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8350418?\nAnswer: 2, 4175209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 14*x - 15. Suppose 3*b + 2*b = -4*j + 8, -b - 5*j = 11. Let q(y) = -4*y**2 + 42*y - 45. Let g(w) = b*q(w) - 14*f(w). Solve g(l) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - -0.53. Let f = g + -0.325. What is f rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose -11 + 1 = -x*d. Let i(c) = c**2 - c - 10. What is the least common multiple of 9 and i(d)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*w - 80*w + 13 - 7 + 53*w to t + r*w and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55680 - 28341. What are the prime factors of h?\nAnswer: 3, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -24. Let k = q - -40. Solve 4*s = -5*w - k, 1 + 7 = -w - 5*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -238*r. Let u(o) = 9*o + 38197. What is t(u(l))?\nAnswer: -2142*l - 9090886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -4160\/113 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**4 - 3*f**2 - 3*f - 3. Let z(o) = -54*o**4 + 14*o**2 + 14*o + 16. Let t(a) = -14*h(a) - 3*z(a). Differentiate t(c) with respect to c.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(3\/(-15)) + -1. What is the third derivative of l**2 + 5*l**4 + 0*l**4 + 0*l**h wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7176478 minus -110.99?\nAnswer: 7176588.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -0.092\nAnswer: 2.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Suppose 5 = f + 1, -3*f = -v*n + 84. What is the units digit of (n\/20 - -2)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -226*y**2 - 50 + 70 - 20. Let m(p) = -p**2. What is x(m(b))?\nAnswer: -226*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/(-1680))\/(117\/39)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, -2, 1\/33, 0 in ascending order.\nAnswer: -2, -1, 0, 1\/33, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 191?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -90 + -119 + 233 + -83\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0*z + 0*z)*(z**2 + 0*z**2 - 3*z**2) + 4*z - 4*z - z**3 to u*z + f*z**2 + x*z**3 + t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3 minus 0.007450034507?\nAnswer: -14.307450034507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 104*l**2 - 3*l - 7. Let r be d(-5). Suppose -r - 6200 = -3*i. Let t = i - 1125. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + h = 13, -55*f + 50*f = h + 36 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q + 68. Calculate v(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 123, 322, 601, 960, 1399, 1918?\nAnswer: 2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11, 0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 6:11 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31914 and 11142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83716154?\nAnswer: 2, 41858077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13347 is divided by 135?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12594)\/(-837501))\/(12\/14)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/21)\/((-2)\/(-3)). Suppose -283 - 101 = -6*h. Suppose -61*f = -53*f - h. What is the smallest value in y, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:37 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4320, 83, 7\/6?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.28 and 10752421.\nAnswer: 3010677.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, n: 1, y: 3, h: 3, k: 7}. Give prob of sequence nh.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2367 - -5853. Let c = a + -2275. List the prime factors of c.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.24, -16, 5, 2?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - b = -75, 3*n - 46 = 7*n + 2*b. Let j = n - -16. Factor q - 2\/5 + 7\/5*q**j.\nAnswer: (q + 1)*(7*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93.3557 + 0.1743. Let x = -98.6 + o. Let t = -0.07 - x. Which is the second smallest value? (a) 0.7 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46711984?\nAnswer: 2, 11, 47, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12682 minus 23?\nAnswer: 12659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 12) in base 15?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + w - 9 - 1 = 0, -5*u + 22 = -w. Suppose z + 16 = -0*z - u*k, 3*z - 37 = 5*k. Solve z*t - 6*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Suppose 15*j - 12 = 3*j. Let b(h) = 2*h**3 - h + 1. Let w be b(j). Let t(v) = -9*v**w - 6*v - 2*v**2 + 6*v. Give t(i(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 16. Let y be r(-10). Suppose 66 = 7*l - 4*l. Let a = l + y. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/7 (b) 0.4 (c) -33 (d) -1 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 23*m**3 - 13*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-10)))\/b)\/(b*b*b*b**(-4\/9)))**4 assuming b is positive.\nAnswer: b**(-488\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*c = -3*j - 2149, -5*j + 5*c = 3570. Let q be (4166\/4)\/(12\/8). Let y = q + j. Find the common denominator of y and -13\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + 7*v**2 - 11*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 - 3. Suppose -30 = 23*j - 28*j. Calculate l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*c + 14, -9 = -c + 18*p - 16*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1111?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 15*i - 7)*(29 - 2 + 8) as s + d*i and give d.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 168*t**3 + 567. Let g(z) = 339*z**3 - z + 1135. Let v(x) = -3*g(x) + 5*i(x). Differentiate v(u) wrt u.\nAnswer: -531*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 - 13 = 4*u, -8 = 5*u + 3*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20150207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*d = 47*d + 18. Let y(w) = w. Let i(v) = -9*v + 5. Let x(t) = d*y(t) + i(t). Does 20 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 + 17*f - 128)*(4 + f - 4 + (1 + 0 - 3)*(f + 2*f - f)).\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/(-60))\/((-4)\/366) and 9\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and -1532206?\nAnswer: -444339.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-25*(-52)\/7150)\/(-1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l - 8, 35 = 3*v - 2*l. Suppose 0 = v*s + 11*s - 40. Solve 2*i - 3*i = g + 1, s*g = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = m, 4*h = -3*m - 4. Find the second derivative of 8*t**h + 2*t - 5*t**2 + 2*t + 4*t**2 wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 8*m + 6. Let z be w(-7). Let t = 107 - z. Suppose 2*c + 72 = 8*c. Calculate the highest common divisor of t and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**11\/a))\/a*a*a)\/(a*a**(-13)*a))\/(a**(-8)\/a*(a**12\/a)\/a) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1887302 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70263, -139952, -209065, -277602, -345563, -412948?\nAnswer: -479757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 169 + 201. Suppose 14*b + 11*b = 750. What is the smallest common multiple of d and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + 9 + 1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 35 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 4*b = 10*t - 16, -5*b = 3*t - 37 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-116 - 8\/4)\/((-15)\/(-75)). Let h = u + 622. Calculate the highest common factor of 32 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 324535 (base 6) to base 16\nAnswer: 696b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*q - 794, -4*q - 783 = -3*o + 1589. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 12*r. List the prime factors of f(5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:06 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22032229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((4\/6)\/(-2)). Let o(s) = -4*s - 7. Let u be o(c). Put 6, 3, u in decreasing order.\nAnswer: 6, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0. Let z be (42\/(-56))\/((-35)\/20). Sort 0.1, z, o in ascending order.\nAnswer: o, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 16. Let t = u - -54. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s. Suppose n + 3*c - 25 - 20 = s, 2*n - 3*c = 45. Let m = -17 + n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + (3 - 3) - 1. Let t be 2\/4 + 7\/l. Let n = 5 + t. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 25869*k**3 + 3*k**2 - 13*k + 11. Does 73 divide a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719*k - 5*z = -715*k - 64, -z = -3*k + 48. Solve -k*r + 521 = 473 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 5*w + 1. Let z = 6 - 3. Let h(q) = q + 2. Let y be h(-8). Let b = y + z. Determine u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 8, -2744 in increasing order.\nAnswer: -2744, -9, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8634 (base 12) in base 9?\nAnswer: -22174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-12)\/(-164))*-6. Let h = q + 8. Calculate the remainder when h is divided by 1\/4 + (-91)\/(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1362 - -1362. Sort 5, 1894, t, -3 in descending order.\nAnswer: 1894, 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279524 and 159728.\nAnswer: 1118096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 702 = k - 4*x, x = -4*k + 570. Suppose -11 = -3*h + 5*u + k, -4*u + 126 = 3*h. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/796 and -61\/8.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2265*q**5 - 3*q**4 + 176*q?\nAnswer: 45300*q**3 - 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2338 = -2346 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 339049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -125 (b) -50953 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 = -5*s - 6, 3*b = 4*s + 12. Let k be ((-2)\/6*b)\/(-1). Solve m + 3*m + 16 = k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((-2)\/(-5) - 371\/945)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2 = 2*u + 5*m, -4 = 4*u - 5*m. Let l be u*3 + (4 - (-3 + -4)). Solve 2*y + 2 = -l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 13) + 8 - (-1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3844225 and 551705?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + (-18)\/(-40). Let b(k) be the third derivative of 0*k**3 + 0*k + 0 + d*k**5 + 1\/24*k**4 + 3*k**2. What is the second derivative of b(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 1264*r**3\/3 + 690. Let d(y) = 2*y. What is d(g(j))?\nAnswer: 2528*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001957 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9765 divided by -15?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9466, -20035, -30604?\n\"Answer: -10569*u + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10911498 - 10913193 = 113*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 + d - 4. Let k be (-1)\/(-1) - 5\/(-1). Let a be p(k). What is the third derivative of -59*t**5 + 56*t**5 - t**2 - t**a wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 38. Suppose 0 = m + 2*m - 5*d - 3, -3*m + 3*d + 9 = 0. Let r be (-4)\/(-36)*3*m. Sort -2, r, n in descending order.\nAnswer: r, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39036765 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*i**3 + 514*i**3 + 37036*i**2 + 37042*i**2 - 74078*i**2.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k + 81. Let l be n(-6). Calculate the lowest common multiple of (-63)\/(-35)*50\/l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q - 139*q + 1761 - 417 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27463.96 centuries in millennia?\nAnswer: 2746.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 2*w + 2*w - 3*w. Let r(i) = i**2. Calculate q(r(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let k(f) = f**2. What is s(k(x))?\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/5*330\/88?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 15*n - 24. Let v be w(-13). Suppose l = -v*c + 39 + 42, 177 = 4*c - 3*l. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/18690 and 16\/2351825.\nAnswer: 14110950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9318777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4\/4 + 1473*k**3\/4 + 67821*k**2\/4 - 290553*k\/4 + 55314 = 0. Calculate k.\nAnswer: -439, -56, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d = -23*d + 25, 0 = 2*p - 4*d + 8 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, h: 4, m: 1, q: 3, c: 1, v: 4}. What is prob of picking 1 q, 1 c, and 1 v?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 50*y**2 + 170*y + 40. Calculate v(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2. Let y be (6 - 3 - 1) + 0. Let w(u) = -11*u + 11*u - u**y. Give p(w(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/321, 4\/3, -1\/4?\nAnswer: 2\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.4 - 14.4. Let h = 2 + -8. Let u = -4 - h. Which is the closest to m? (a) 0.1 (b) -1\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.8551455 - -0.0389245. Let m = p - 4.89. Round m to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*r**3 - 137*r**3 - 8*r**3.\nAnswer: 145*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23625678 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 19*a + 35. Let k be p(-13). Let o = -463 + k. Solve -q - q - o = h, h + q = 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.47*-0.282\nAnswer: -4.64454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -80, -51, -28, -17, -24, -55, -116, -213?\n\"Answer: -b**3 + 3*b**2 + 27*b - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123734999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 + (-4)\/(-120). Let t = 2 - 2. Sort -2\/3, t, k.\nAnswer: -2\/3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 522 - 271. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -2 - ((-66)\/(-6) + -9). Which is smaller: i or -14\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 55 = -5. Let p = i - -23. Suppose 6*v + 0*v = p*v. Solve 3*o + o = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215328 is divided by 84?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from jbtbbtbvbtvtvjbbttt.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeemkmekmxemkmsxxe. What is prob of picking 3 m and 1 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z - 774 + 234 = 12*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2311\/42 + -173\/3. Calculate the common denominator of (-18 + (-63645)\/(-3510))\/((-2)\/(-6)) and v.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t = 36*t + 494. What is the common denominator of -23\/3 and t\/(-5)*25\/(-1630)?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.57402mm to meters.\nAnswer: 0.09757402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12*h - 105 = 0. Let n be 9 + (8 - 5) + h. Let i(j) = -6*j + 2. Determine i(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 29*y**2 + 59*y + 171. Let s be l(-27). Which is greater: 39 or s?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -71. What is the remainder when d is divided by 11\/1 + 1*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -43*y + 2. Let n be f(-2). Let d = 263\/3 - n. Which is smaller: 1.6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(8)*5))**2 - 2*sqrt(12)\/(1*sqrt(4)).\nAnswer: -2*sqrt(3) + 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.627308 millilitres in litres?\nAnswer: 0.005627308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15 + 4*b - 36*b**2 - 8*b**3 - 10*b**3 + 19*b**3 - 21. Is a(36) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -551177 and -551174 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19553943 divided by 6?\nAnswer: 6517981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)\/a**(-6))**(2\/5) assuming a is positive.\nAnswer: a**(56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 5.1. Sort -1\/7, -5\/2, n in increasing order.\nAnswer: -5\/2, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/10 + (-22)\/(-4). Let g be -5*(-1 + (-43)\/s). Suppose -4*c - c - 4*z = -135, c - g = -5*z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 968 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6238?\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -1713, -3811, -6717, -10419, -14905, -20163?\nAnswer: -26181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2290681744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0070421157 rounded to 5 decimal places?\nAnswer: -0.00704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -94. Suppose r = 3*p - 13. Let l = -6 + p. Solve 0 = t - l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.17, 2, 4, -0.3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11574863 or -11574858?\nAnswer: -11574863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 37*f**2 + 76*f + 209. Determine w(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468273248 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {f: 1, p: 1, h: 5, q: 3, i: 3}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + -6*(0 + sqrt(2299))**2*6.\nAnswer: -82763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(170) + 5*sqrt(170)*3))\/((4*1*sqrt(90))\/sqrt(9)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 13 = 4*q + 3, 0 = 4*p - 5*q - 13. Suppose 10*f + 12 = 13*f - 3*s, -8 = -4*f + p*s. Which is the closest to -1? (a) 0.4 (b) f (c) -3\/2 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((-165)\/(-120))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o - 12 = -31*o + 3*v, 0 = 5*v + 20. Is 41 a factor of o - (7 + -5) - (-82 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209248001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/((36\/45)\/((-224)\/400*-15))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.3. Let o = 0.5 + d. Let z = o + 0.1. Which is the second smallest value? (a) z (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 142 = 2*m, 0 = -a + 6*a + 3*m - 179. Let y(r) = -25382*r - 12. Let u be y(a). Round u to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + 1.4. Let s = -6.7 + 7. Suppose 1 + 10 = -x - 3*i, i + 5 = 0. What is the smallest value in n, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2))\/((-3)\/330). Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 34*l**2 + 340*l + 183. Let s be x(-42). Let b be 10\/4*24\/15. Solve s = b*q - 9*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*p - 52 = -211*p. Suppose -4*f = -4*w - 4, 5*w + 14*f = p*f + 7. Which is the nearest to w? (a) 1\/7 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - -0.24. Let g = -1.4 + 0.4. Which is the nearest to -2? (a) n (b) 1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 647529.2?\nAnswer: -647518.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2328919 is divided by 1459.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -611*i - 330. Let b(l) = 256*l + 165. Calculate 5*b(m) + 2*u(m).\nAnswer: 58*m + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8))**(-2\/29)*(x\/x**(-18))\/(x*x**(-4)*x*x) assuming x is positive.\nAnswer: x**(2321\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16756\/9 - 1864. Suppose h + 4 = 2. Is n != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**4\/12 - 5*r**3\/6 - 2*r**2. Let m be y(7). Solve 4*o = 7*o + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/5484336 and 89\/107536.\nAnswer: 5484336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.948 + 0.052. Which is the biggest value? (a) -0.3 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 25. What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.068 times -0.0775536\nAnswer: -0.0052736448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/270*9*4990\/(-180) + 10\/(-120)\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 39216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 bigger than -924\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 46629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y**3 - 3 - 625391583*y + 625391583*y.\nAnswer: -47*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11367852311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 6*b**2 - 5*b - 14. Let y be l(7). Let s be y*(25\/(-10) - -2). Which is smaller: -5\/12 or s?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/20 + (-13)\/(-4). Suppose u*j - 12 = 2*c + 9, 3*c = 5*j - 35. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3 + 8*g**2 - 8*g - 17. Let h(c) = -2*c**3 + 3*c**2 - 3*c - 6. Let p be (-1 + 5\/3)\/((-96)\/432). What is p*w(l) + 8*h(l)?\nAnswer: -l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-four fifths of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.996 + -0.004. Let c = 12 + f. What is the third biggest value in -0.1, -5, 2\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 8. Suppose g*t = 2*t. Suppose -5*k - 1 = -4*l - t*l, -5*l - k = -23. What is the smallest common multiple of l and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s + 207*s + 33*s + 149*s to the form u + m*s and give m.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1240)\/576 + (-4)\/18 and -31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*z + 3 = 0. Let g be z - (-56)\/7 - 2. Solve -g*w + 20 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3293 + 6619. List the prime factors of x.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (203\/(-49) + 4)*((-36)\/(-15))\/((-138)\/(-1725))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20948756 and 6700?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times 14?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -7 + 2. Let u = -229 + 238. Calculate the remainder when u is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*w + 2*w - 10, v + 4 = -4*w. Suppose v*a = -a. Suppose 5*n = 5*x - 2750, -4*n + a = -16. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48185 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * -653.3\nAnswer: -287.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*n - 7 = -13, 0 = -3*j + 2*n + 9. Let v be 3\/9 - 5\/(-3). Let q(t) = 7 + j*t**2 - 4*t**v - 5*t - t**2 + 3*t**2. Determine q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110802 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 5, 129 in increasing order.\nAnswer: 5, 129, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/90 and 91\/797415.\nAnswer: 4784490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2151434659 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-6)*14\/(-12)*3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4064610 and 49\/49720.\nAnswer: 16258440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + (5 + sqrt(1872)*-3 - (sqrt(1872) - (-4 + sqrt(1872))*1)**2).\nAnswer: -36*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15721 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 11:10 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/13 in -6, 0.3, 1, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810339 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439 a factor of 1597685130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 5 + 19*k + 15 - 25 + 6*k.\nAnswer: 25*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.09 - 183867422.56.\nAnswer: -183867409.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 2*k**3 - 2*k**3 + (-3*k**2 + 4*k**2 + 0*k**2)*(3*k**3 - 2*k**3 - 2*k**3) + 9*k**4 - 9*k**4 + 4*k**5.\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + (-47 - -54) + (-1 - -21).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/2 - 323*a**2 + 80135*a\/2 - 1143450 = 0.\nAnswer: -756, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjkp when four letters picked without replacement from ptjtkjttkpj.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 34 + -38 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:48 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13115, -26390, -39651, -52892, -66107?\nAnswer: -79290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 4 - 2*f**3 - 9*f**2 + 0 + f + f**3. Let t be w(-6). Is 5 a factor of (64\/(-20))\/(t\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**9*y\/(y\/((y*y\/(y**(-5)\/y)*y)\/y)))\/(y**(-2\/7)*y*y)**(-32))\/(y**(1\/3)*y*y*y**(2\/5)*y*((y*y**(1\/4))\/y)**(10\/3)) assuming y is positive.\nAnswer: y**(10561\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-12948)\/(-104))\/(-1 - (-11)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29636 is divided by 888?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/4 - 5*v**3\/3 + v**2\/2 + 5*v + 1. Let q be 4 + -7 - -1*38. Let z = -40 + q. Determine u(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 + 98 = w, -4*w = o - 40. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424\/(-3180) - (-137)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 8. Let c be t(-8). Let b = -25 - c. Suppose -2*x - b = -5*a, 3*x = -2*a - 11 + 31. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -298355*r**2*u**3 + r*u + 2*r - 2*u**3 + 78443*u**2 wrt r?\nAnswer: -596710*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2. Let c(b) be the third derivative of -b**6\/72 - b**3\/3 + 6*b**2. Let j(n) be the first derivative of c(n). Calculate j(o(z)).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -133*r**5\/15 + 599*r**4\/24 + r**3\/6 + 14*r**2 + 13. Find the second derivative of f(z) wrt z.\nAnswer: -1064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 990*h - 409251. Determine g(-314).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 + 5 - (189 + 127 + -223).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-184)\/6))\/((-93)\/(-62))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 13*s**2 + 725*s\/4 - 625\/2.\nAnswer: (s - 25)**2*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 3}. Give prob of sequence jjxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 720*r**2 - 18 + 243*r**2 - 21 + 23*r + 57*r**2 - 110*r**2 wrt r?\nAnswer: 1820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385c (base 16) to base 4.\nAnswer: 3201130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g = -57*g. Let m(h) be the first derivative of -1 + g*h + 1\/18*h**4 + 0*h**2 + 2\/27*h**3. Factor m(z).\nAnswer: 2*z**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 0*y**2 - 2*y**2 + (-1 - 4 + 4)*(-2*y**2 - 2*y + 2*y))*(4*y**2 - y + y) to the form j*y**4 + g*y**2 + s*y + o*y**3 + h and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.1 + -53. What is the nearest to 1 in 3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4541 + 4536 + 153*c + 4539 + 689*c - 13616)*(1 + 6*c**3 - 1).\nAnswer: 5052*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-10)*(-66)\/231.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 1\/9, -1.9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/11)\/l*((l**(-2\/9)\/l)\/l)\/l)**(-46)*l**(2\/13)*l**(-4)*(l\/(l\/(l\/l**(-1\/2))))\/l**(4\/5) assuming l is positive.\nAnswer: l**(1759489\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 16)*21*(-2)\/(-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7 + 1. Suppose a - 3*m = -4, -20 = a + j*a + 3*m. Let o(r) = 11*r**2 - 7*r - 9. Does 24 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165696.\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*y = -24*y - 1800 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*u**3 + 359*u**3 - 261*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**0)**21)**50*((t\/((t**0\/t)\/t))\/(t*t**(-6)))\/((t\/t**4)\/t*t\/(t\/(t*t**(3\/5)))) assuming t is positive.\nAnswer: t**(10552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - 1. Let d be j(-1). Suppose -d*u + 5*f = -25, 6 + 2 = 2*f. Let r = -22 + 157. What is the highest common factor of u and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2 + 6*n + 57. Let t(i) = 7*i**2 - 5*i - 57. Determine -5*j(f) - 6*t(f).\nAnswer: -2*f**2 + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46706 and 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15635615, 31271191, 46906767, 62542343?\nAnswer: 78177919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o**3 + 45*o**2 + 38*o + 12. Let s(g) = -71*g**3 - 269*g**2 - 227*g - 72. Let u(f) = -37*d(f) - 6*s(f). Factor u(n).\nAnswer: -(2*n + 3)*(3*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0134 + -0.0168. Let x = 64.3466 - p. Round x to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:38 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:48 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -5 (c) 38 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43636614*i + 509241556?\nAnswer: -43636614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 119 = -3*h + u, 2*u - 179 = 3*h. Let q = -56 - h. What is the second derivative of -28*d**3 + 14*d**4 + 10*d**3 + 18*d**q - 22*d wrt d?\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*f + 217*f + i + 4, 2*f + 5*i + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = -3*x, 0 = 4*x + 5*q - 4 - 4. Suppose -x*s - 4*u = 42, 2*u - 12 + 6 = 0. Let m = 11 - 12. Which is greater: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2578 + 2578. Which is the nearest to q? (a) 2\/7 (b) -19 (c) -0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3135167 (base 12) to base 3.\nAnswer: -122110100211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.1. Let g = 16.12 - 0.12. Let q = g + -16.1. Are f and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2811962 by -2.\nAnswer: -1405981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 bigger than 3395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 32*f - 4. What is the units digit of y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 151.7316 kilometers?\nAnswer: 151731600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4\/5 + 117753*y**3\/5 + 441621*y**2\/5 + 264978*y\/5 = 0.\nAnswer: -3, -3\/4, 0, 29442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 7) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-93 - -77) + -6*2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let t = 1 - 0. Let k be 355\/30 - t\/(-6). Let b(v) = k + v - 12. Determine h(b(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + -2*sqrt(64)*5)\/(1*sqrt(72) + sqrt(72) + sqrt(8)))\/((4*sqrt(44))\/sqrt(11) - (sqrt(20) - sqrt(160)\/sqrt(8))\/sqrt(5)).\nAnswer: -9*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*c = 26, 0*c = 5*k + 5*c - 45. Let l be (-2)\/(-8) + 19\/k. Suppose -4*b + l*b = 7. What is the least common multiple of b and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, h: 3, d: 2}. What is prob of picking 2 d and 1 i?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - -12) - (10 - 7 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s. Let h be p(-2). Suppose -3*k + 14 = -h. Let i = k - -2. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -11. Let r be ((-10)\/(-30))\/(v\/(-6)). Suppose 0 = -3*o - r*o. Put -1, o, -4 in decreasing order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-21)\/(c*(c**22*c)\/c) assuming c is positive.\nAnswer: c**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -623 times 5\nAnswer: -3115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*l + 820 - 590 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 - 1159040*a + 167921715200 = 0. Calculate a.\nAnswer: 289760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13 - 1255*u + 697*u + 675*u. Let f(q) = -47*q + 5. What is -13*f(v) - 5*i(v)?\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-4))\/(-1) + 538\/(-8). Let v = -66 - s. Calculate the smallest common multiple of v and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*a**3 - 67*a + 67*a to h*a**3 + o*a + r*a**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t - m = 25, 0 = 4*t - 4*m + 68. Let k be t\/(-4)*36\/21. Differentiate 30*c**2 + 9*c**3 - 30*c**2 - k wrt c.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -910*w**3 - 7*w**2 - w + 4. Let y(c) = -c**3 - 7*c**2 - c + 2. Give i(o) - y(o).\nAnswer: -909*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*4\/4*-1*1. Suppose 3*z + 2*j + 0*j - 38 = 0, s = -3*z + j + 26. Find the second derivative of -9*c**3 - 10*c**2 + z*c**2 - 7*c**3 - 4*c wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 8:32 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: eaa087 (base 15) to base 5\nAnswer: 10324441002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 2585?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -145 + 9949?\nAnswer: 9804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 3*d**3 - 4*d**3 + (-3 - 2 + 3)*(-11*d**3 + 5*d**3 - 7*d**3) + 0*d**3 + 0*d**3 + d**3 to u + h*d + a*d**2 + w*d**3 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -92*z**2 + 3*z - 3. Let v be c(2). Let m be (4\/(-10))\/(1\/v). Let d = m + -25. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/15)\/(m\/(m*m\/((m*m**(-1\/4))\/m))*m)*(m*m**(2\/11))\/(m**2*m)*((m*m**(-12)\/m*m)\/(m**(1\/15)\/m))**(1\/4) assuming m is positive.\nAnswer: m**(-232\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v**3 + 13*v**2 + 22*v - 8. Calculate g(-2).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112312 (base 8) in base 16?\nAnswer: 94ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 759108 + (-8)\/(-5)*-5. What is k rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/((60\/50)\/(450\/(-100))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/9139 and -67\/26942?\nAnswer: 12959102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95350, -193699, -298038, -411361, -536662, -676935?\nAnswer: -835174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 16 = b, -105*b = -104*b - 5*u - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54663560 divided by 55160.\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 46*x**3.\nAnswer: -46*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 - (-45)\/6. Suppose 2*g = -4*c - c + 39, 2*g + 4*c = 36. Suppose -g = 3*v, 3*p + 3*v - 16 = 7*v. Solve 5*h + 22 - d = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7727755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20273 - 6?\nAnswer: -20301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 + 45*s. Let h(w) = 42*w + 4. What is q(h(i))?\nAnswer: -8820*i**2 + 210*i + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -626567?\nAnswer: -626573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d**3 - 3*d**2 - d + 2. Let n be w(-4). Suppose -13*v - n = -15*v. Is v a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -5, 0.5, 2\/17, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4446572)\/(-39) + 1\/(1 + 2). Suppose i + 3*k = q, -4*i + 9*k = 4*k - 455975. Round i to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = 5*c, 3*c - 4 = -1. Let w be -1*1 - ((-7 - d) + -4). Let v(f) = -132*f**3 + f**2 + 3*f + 1. What is the units digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 61*i + 2366. Does 38 divide k(102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 + 4514\/70. Let j = -64 + p. Is j > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 106*i\/3.\nAnswer: -i*(i - 106)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = o + 47 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692491900 rounded to the nearest 1000000?\nAnswer: 692000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -12. Let d be (f - -6) + 3\/(-1). Is 10 a factor of -4*d\/(8\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 3*i. Suppose i = -17*b + 6*b + 297. Suppose b = a + 3. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 325621*l + 3. Let b(k) = -142*k. Give b(o(w)).\nAnswer: -46238182*w - 426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**3 + 575*j**2 - 17*j + 15. Let m(r) = 4*r**3 + 283*r**2 - 8*r + 7. Determine -6*h(w) + 13*m(w).\nAnswer: -2*w**3 + 229*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69241235 to the power of 1\/2, to the nearest integer?\nAnswer: 8321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -64 + (-4)\/(-1 + 2). Let z = 128 + f. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + 0*z**2 + 4*z**2)*(-3*z + 1 - 6 + z) as d*z**3 + i*z**2 + p + s*z and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 788 + -788.1. Is 0.2185 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476973 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 17*s + 125. Let h(d) = 3*d**2 - 50*d - 375. Let t(p) = 7*g(p) + 2*h(p). Let o be t(24). Which is smaller: o or 50?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {l: 3, e: 2, k: 6, w: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 - 29 = 0. Let p be 19 + -18 - b\/12. Is 0 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/12)\/((-119)\/476))\/(2\/(-18))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 5, 0 in decreasing order.\nAnswer: 5, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -327*j**3 + 81*j + 3. Let q(p) = 977*p**3 - 244*p - 10. Let s(l) = -2*q(l) - 7*z(l). Find the second derivative of s(b) wrt b.\nAnswer: 2010*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 158, 165, 176, 191?\n\"Answer: 2*k**2 + k + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 2 = 4*u. Suppose 56 = -40*c + 42*c. Calculate the greatest common divisor of u and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6741046 (base 8) to base 13.\nAnswer: -4b9046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -79*o**2 - 121*o - 105. Determine n(-6).\nAnswer: -2223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:36 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/540 (b) -3 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.65 + -1.05. Which is the third biggest value? (a) t (b) 0.1 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b**2 + 27*b**2 - 43*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*p + 17*p - 34*p + 40*p + 0*p**2 + 4*p**2 + 6.\nAnswer: 4*p**2 + 101*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 p when four letters picked without replacement from {a: 1, u: 6, k: 2, p: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*z**2 - 10*b*z - b - 9466011*z**2 + 1875*z + 1 wrt z?\nAnswer: -4*b - 18932022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*a - 25 = 0, 2*a = -1467*y + 1472*y - 12 - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207*z**6 - 116*z**2?\nAnswer: 24840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*w)*(-2*w**4 - 1 + 1) + 4*w**5 - 3*w**5 + w**5 + 265*w**5 - 270*w**5 + 5*w**2 + 18*w**2.\nAnswer: -7*w**5 + 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -22736, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13371 divided by 1?\nAnswer: 13371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.79 - -6.01. Let y = -7 + b. Let g = y + 0.263. Round g to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/6 - 5*s**4\/3 - 11*s**3\/3 + 16*s**2\/3 + 95*s\/6 + 25\/3 = 0. What is s?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/5)*w)\/w)**(-35)*(w\/w**(-3\/5))\/(w**(-6)\/w))**34)**(-1\/5) assuming w is positive.\nAnswer: w**(-272\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2001.20446 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-180)\/(-8))\/((-6)\/(-8)). Let i = a + -28. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 110393, 110718, 111043?\n\"Answer: 325*g + 110068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 4, -5*g + 202*w - 197*w - 25 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let y(i) = 28*i - 4959. What is y(p(r))?\nAnswer: 56*r**2 - 4959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-2\/3))**(-2\/51)\/((m**1*m)**31)**(-43) assuming m is positive.\nAnswer: m**(407890\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 378*d**3 - d**2 - 2*d + 3. Let j(w) = 375*w**3 - w**2 - 3*w + 4. Let c(t) = 3*j(t) - 4*k(t). What is the third derivative of c(v) wrt v?\nAnswer: -2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281359*t**5 - t - 121385 wrt t?\nAnswer: 5627180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (-2*sqrt(63) - sqrt(63)) - (sqrt(378)\/(-2*sqrt(6)) + sqrt(63)))**2.\nAnswer: -3187\/2 - 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-272)\/(-40))\/((-2)\/(-580)). Let n = o + -35477\/18. What is the common denominator of n and 119\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**4 + q**3 + q**2 - 2*q - 1. Let y(r) = 47*r**4 - 4*r**3 - 2*r**2 + 4*r + 153. Let t(g) = 2*d(g) + y(g). Differentiate t(p) with respect to p.\nAnswer: 172*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express y + y + 0*y + 2 + 2*y + 4*y + 6*y + (1 - 5*y - 1)*(-2 - 3 + 4)*(-4 + 30 + 27) in the form i*y + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*4 - sqrt(63) - sqrt(126)\/sqrt(2)*-5)\/((sqrt(90)\/sqrt(2))\/sqrt(5) - sqrt(18)\/sqrt(2)*-3) + -2.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 14. Suppose 0*y = 2*u + 2*y + z, -3*u - y = 6. Let t = 144.91 + -145. What is the second biggest value in t, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25251442.2 rounded to the nearest one thousand?\nAnswer: 25251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2326960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 - 8254668*m + 17034885947556 = 0.\nAnswer: 4127334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 1. Let a = -9 - -26. Suppose h = -2*h + 15. Suppose -h*r = a - 2. Let p(k) = 5*k**2 + 1. What is r*n(g) + p(g)?\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2)\/b)\/(b*b**(-1))*(b**(-3)*b)**(-20) assuming b is positive.\nAnswer: b**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189398609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*r**2 - 1064\/11 + 94\/11*r.\nAnswer: -2*(r - 28)*(r - 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 4*i + 3. Let y be q(-3). Let o = 27.034 - 0.034. Let w = o - 26.9. Which is the third biggest value? (a) -2 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.1. Let v = -26.2 - -26.5. Which is the biggest value? (a) 3 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37575965 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114540 and 10706730?\nAnswer: 1777317180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 152, 377, 702, 1127?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-19)*c)**(-14\/13)*c**49*((c**(-9\/4)*c)\/c)\/c assuming c is positive.\nAnswer: c**(1203\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -527*u**2 + 48*u + 520*u**2 - 2*u + 127*u + 37*u to the form c + s*u**2 + v*u and give v.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320131*d - d**3 - 320134*d + 960393*d - 320128*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - 98765\/7. Let t = b + 282089\/20. What is the common denominator of 4\/6 - (-7775)\/1500 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 8:06 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -452*f*n - 575*f*p - 11*n*p - 78*p - 104 with respect to f.\nAnswer: -452*n - 575*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 101.7. Which is the smallest value? (a) -0.9 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvv when three letters picked without replacement from vhhxvlh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -63*z + 1318. Determine t(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-100)\/(-4) + (-2)\/(-2). Suppose -w*y + 22*y = -16. Solve -y*p = 5*l - 3, -4*p + 2*l = -2*l + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, -7.6, 1\/5, 0.5, 3\/4, 410.8?\nAnswer: 410.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 4*g - 3*g**2)*(-6 + 1 + 2 - g) to the form k + v*g**2 + w*g + l*g**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 235 and 470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 61501.\nAnswer: -3, -1, 61501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/38 - -69\/152. Which is the nearest to -9? (a) -2\/5 (b) u (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m - 14*m - 184 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 128, 214, 374, 632, 1012, 1538, 2234?\nAnswer: 3124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -37. Suppose -m*h - 29 + 92 = 0. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - -0.63. Let m = -1571\/5 - -3147\/10. Is n at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d - 1. What is u(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 15*t = 114, 5*a - 1335 + 1292 = -4*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 3*l + 5 + 2*l**2 - 2*l. Let s be (-2 + 2)\/(1 - 0). Calculate p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 0.049.\nAnswer: 0.00196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (-2*sqrt(147) + -3)) + -3 + 5 - (2*(sqrt(147) + -3 - sqrt(147)) - 6*(sqrt(147) + 1)))**2.\nAnswer: 2142*sqrt(3) + 12196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16731 + -5960. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -50, -107, -198, -329, -506, -735?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(1 - 2 - 5)*(-11*w - 9*w + 4*w + (-3*w + 3*w - w)*(1 + 2 + 5)).\nAnswer: -144*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*r + 12895 + 208607 = 0. Is r less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 40530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/219, 0.1, 2\/3, 2\/49, -2089?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 98.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 637*g. Let t(m) = 57*m. Let r(k) = -5*f(k) + 56*t(k). Let j(p) = 33*p - 2. Determine r(j(a)).\nAnswer: 231*a - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 10:29 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:48 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292 + 12*z - 292)*(2*z - z + 0*z)*(-4*z - 3 + 3).\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.34792 months in centuries?\nAnswer: 0.0744566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 - 0 - -4) - (0 + 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**2 + 80*z - 84 = 0?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 35*o**4\/3 - 250*o. Let y(u) = -2*u**2. What is f(y(l))?\nAnswer: 560*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*q - 20 = -6, 0 = -c + q - 4. Which is smaller: 5\/31 or c?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3001*f + 1008*f + 1002*f - 12*f**3 + 991*f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 220785336387.\nAnswer: 220785336387.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 262\/(-13) - 8\/(-52). Let w = -16 - n. What is the second derivative of 27 + 5*s**w - 27 + 7*s wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + b - 23. Suppose -32 = -4*h - 96. List the prime factors of w(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from {i: 12, r: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.2 + 119.8. Let z = -127.1 + i. Let j = -8 + 6. Which is the smallest value? (a) z (b) 0.2 (c) j (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2751232 and 1160676?\nAnswer: 74283264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*q + 50438 = -46*q - 35*q + 14588 for q.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swws when four letters picked without replacement from wwwsswwwww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38\/(-95) + 12064\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1602, 3197, 4792?\n\"Answer: 1595*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.66608 and 4.\nAnswer: 5.66608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/639106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*m - 11 - 7 - 1 + 3*m**2 - 24 + 15*m to the form v*m + a*m**2 + o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*r - 4 = 593*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u - 75. Suppose -u - 6 = -3*v. Suppose 0 = -v*q + 2*q + 95. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 92*o**2 - 104*o**2 - 3*o. Let s(y) = -7*y. Give w(s(f)).\nAnswer: -588*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 - 146.9. Put 2, 7, z in decreasing order.\nAnswer: 7, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 11\/2, -3, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246167 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (12 - (5 + 3)). Let f(k) be the first derivative of -1\/2*k**2 - 6*k - 3. What is f(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -31\/3*j**3 - 97*j + 0 - 135\/2*j**2. Find the first derivative of k(d) wrt d.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/31)\/(x\/(x\/(x**(-5\/6)\/x)*x*x))*x**(-21)*x\/(x*x*x**(-20)*x))**5 assuming x is positive.\nAnswer: x**(835\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6881 from 0.02.\nAnswer: 6881.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z - 56*z - 620 = 0. What is the remainder when z is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 + 135.1. Let r be (-6 - -7) + 2\/(-6). Let w be 0 - (3\/5)\/3. Which is the closest to w? (a) s (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 141782018 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 17. Solve -v + 6 - 36 = -5*h, -2*v = -4*h + s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*h = 937*h + 46487 + 17213 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 392976641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*h - 18, -3*h + 0*h = 2*k + 8. Let a be -2 + (k - 4) - -4. Solve -3*l + 7 - 1 = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-16) + 26\/8. Let k(l) = -2*l**2 - i*l**2 - 9 + 14*l + 6*l**2 - 4*l. Let x be k(-11). Solve 0*p + x*p - 6 = -2*g, -2*g + p = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2904\/(-54) + 4\/(-18). List the prime factors of (14 - 13)\/((-2)\/q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -20. Find q such that -n + q + 7*q - 4*q**2 + 5*q**4 + q**2 - q - 7*q**3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -4. Let b(k) = -7*k**2 - 3. Let h(t) = -t**2 - 1. Let o(v) = c*b(v) + 3*h(v). Let i(n) = n**2 + n**2 - 4*n**2. Determine o(i(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1225*h + 411. What is the hundreds digit of f(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401610857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.444 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(6\/6) - 2 - 7. Let g be 5\/(-20) - 137\/(-4). What is the closest to 0.1 in a, g, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 73 = -3*z. Let m = z + 73. Calculate the smallest common multiple of 1*(m - -2) + (20 - 0) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108950\/69 - -1579. What is the third biggest value in -1\/4, 1, 0, w, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 81*d**2 + 103*d + 1727. What is w(-82)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.02853.\nAnswer: 0.05706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -2)\/((-4)\/(-42)*-3). Let g = 32 + q. What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*p + 200*p - 34*p + 39*p as a + h*p and give h.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 772\/(-36) - 10. Which is smaller: l or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51643977.79 to the nearest 10000.\nAnswer: 51640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-32)\/f))\/(((f*f**(3\/2)*f*f)\/f)\/f)*f**33\/f*f**(-2\/75) assuming f is positive.\nAnswer: f**(9521\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 216*u**3 - 400*u**2 - 864*u + 1664.\nAnswer: -4*(u - 52)*(u - 2)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31218 = -31405*y + 30459*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45066 and 27?\nAnswer: 405594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*m + 26*m + 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040 = w - 4277. List the prime factors of w.\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24887196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240 + 415. What is the greatest common divisor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/124)\/(((-4 - 0) + 8)\/1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-2*sqrt(2448) - sqrt(2448)))*-2 - (-2 + sqrt(2448)*-1 - (sqrt(2448)*1 + 3)))**2.\nAnswer: 192*sqrt(17) + 156673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -1. Let m be 2\/(24\/(-20))*-3. Suppose 3*d + y = 72, -4*y + 86 = m*d - 41. Calculate the remainder when d is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(77)\/((sqrt(11)*-1 - sqrt(11))*-1) + 4*sqrt(56)\/(sqrt(200)*2 - sqrt(8)).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291819884?\nAnswer: 2, 3, 107651657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 - v - 12. What is g(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -139\/4. What is the closest to m in -5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbioiigisgsos. What is prob of picking 1 b, 1 o, and 1 s?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n**(-10)*(n**(3\/8))**(-10) assuming n is positive.\nAnswer: n**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210886*c**2*t**3 - 218943*c**2*t**2 - c**2*t - c*t**2 + 6*t**6 - 3*t**2 wrt t?\nAnswer: -1265316*c**2 + 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w**2 - 130*w - 114. Determine g(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 6. Let q be 60\/27 - (-8)\/(-36). Suppose 0 = 3*y - 0*p - 2*p - 13, 0 = 5*y + q*p - 27. List the prime factors of x(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57471370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 9\/7, 160?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 81*o**3 + 6*o**2 - 4*o. Determine m(-3).\nAnswer: -2121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3387*r - 3370*r = 34. Let x(i) be the second derivative of 0*i**3 + 0 - 16*i + 1\/2*i**r + 1\/30*i**6 + 0*i**5 - 1\/6*i**4. Factor x(f).\nAnswer: (f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121102023 (base 4) to base 10.\nAnswer: -103563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -853 + 861. Solve -i*d = -14 + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 3\/((-9)\/21). Calculate the highest common factor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 + -187. Suppose 3*d = t*k - 11255, 0*k = -k + 3*d + 2816. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 11, -2\/3, 10, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10695 - -10717. Let m(q) = 10*q**3 - 11*q**2 + 11*q + 20. Let n(y) = -y**3 + y**2 - y. What is t*n(u) + 2*m(u)?\nAnswer: -2*u**3 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24810761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6160*p**3 - 63*p. Let b(j) = 385*j**3 + 4*j. Calculate 63*b(z) + 4*t(z).\nAnswer: -385*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from caaoacococoaocoocac.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -803 or -13.8?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3703 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 - 1578\/7. Suppose 0 = -4238*y + 3886*y. What is the closest to -1\/4 in -0.2, y, t, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 8*s**2 + 4*s + 6. What is the hundreds digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(196) - sqrt(196) - (sqrt(72)\/sqrt(2) - sqrt(4)))\/(5*(-3*sqrt(288) - sqrt(2))).\nAnswer: 2*sqrt(2)\/185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.645798 rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/9045 and -91\/804.\nAnswer: 36180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87315 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336430833.\nAnswer: 3, 17, 619, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3233 (base 9) to base 6\nAnswer: 15003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 + 0*b + 0*b + (-3*b + 0*b + b)*(0*b**2 + b**2 + b**2) + 11*b**3 - 10*b**3 - 63*b**3.\nAnswer: -63*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsdd when four letters picked without replacement from ssdsdssdss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5 = 5*z, -4*v - 3*z + z = -8. What is the first derivative of 5 - v - w + 0*w - w wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from hgfuxddh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.44108 - -0.01008. Let k = -10.3 - u. Let j = -2.2 + k. What is j rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/2 - h**3 - h**2\/2 + 2. Let m(x) = 3*x**3 + 4*x**2 + x. Let k be (0 - 10) + -34 + 41. Give k*m(s) - 4*i(s).\nAnswer: -s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/80*2*7*104\/(-273)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216570 and 115164?\nAnswer: 4156844580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 310*p + 2267*p + 121119 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axss when four letters picked without replacement from saaxxxsssasssa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 10 = 18*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8279?\nAnswer: 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 8*m**2 + 9*m. Suppose 35 = 3*i + 4*s, -i + 0*s - 1 = -5*s. Let g be k(i). Solve 2*w + 2 = -g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1506 - 22588\/15. Suppose -5*u + 5*h = 64 - 9, 3*u - 4*h = -37. Let v be (4 + u)*(-2)\/21. What is the closest to v in -0.3, -9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 47*p = 9651 - 417. Is 57 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20435 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 4140986?\nAnswer: 24845916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 7208 + 5*r + 21566 - 7206 + 0*r - 7152.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 305*t**2 - 15 + 7 - 312*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 5, -8, -5, -1 in increasing order.\nAnswer: -33, -8, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32892*i**3 + 0*i**2 + 0*i**2 + 32875*i**3 - 65787*i**3.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 133659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2828*k**4 - 4414*k wrt k.\nAnswer: 33936*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**3 + 13*d**2 - 4*d + 13. Let c(o) = -o**2 - 10*o - 27. Let z be c(-7). Let s(g) = 5*g**3 + 6*g**2 - 2*g + 6. Calculate z*t(j) + 13*s(j).\nAnswer: -j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 4544973.\nAnswer: -7\/4544973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273621.\nAnswer: 107, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5385033 and 76497?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 203.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/144*-16)\/((-4)\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v**4\/5 + 4859*v**3\/5 + 4154*v**2\/5 - 22989*v\/5 + 2790 = 0 for v.\nAnswer: -186, -75\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 665 and 17662020.\nAnswer: 123634140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/8*(-3 + 11\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90738 is divided by 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -23 + -214 + 90.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*x + 2*p + 324, -4*x - 3*p = -449. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 47323, -11 in descending order.\nAnswer: 47323, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/6 + 2255*c**2\/3 - 5522229*c\/2 - 12520010754 = 0 for c.\nAnswer: -4293, 4076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20144 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -22*x**3\/3 - 61*x**2\/2 + 25. What is the second derivative of b(j) wrt j?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*t + 41, -t + 5*s + 7 = -2*t. Solve -2*z = z + f - 11, -z + 2*f = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 25228490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 1431179?\nAnswer: 1431179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20988 and 1166.\nAnswer: 20988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.63665219 - -39.476653. Let a = j + 0.16. What is a rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1400 and -1\/840.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 2 + 4*q + 5*q**2 + 3*q - 3*q - q**2. Let g(h) = -h**3 + 3*h**2 + 3*h - 2. Determine 4*g(p) - 3*w(p).\nAnswer: 2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.8 (b) -0.4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 2 + 3 - 2 - 2*v**3 in the form w + i*v + k*v**2 + b*v**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 1514?\nAnswer: -11\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 776, -11, -2\/5, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 45072 = -4*f, -f + 5981 + 12043 = 2*q. Calculate the highest common divisor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -z - z. Suppose 0 = 4*u + u - 480. Let a = u + -45. What is the remainder when a is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2251 less than -2248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 + 4*u - 4*u to the form y*u**2 + z*u + h and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3473, -6942, -10409, -13874?\nAnswer: -17337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65297 at most 5658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Which is smaller: b or 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 466\/9, -1, -6, -0.06 in decreasing order.\nAnswer: 466\/9, -0.06, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.33318 - -22.33. Round u to 4 dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/(-98)*(-1424)\/(-82608) and 89\/4?\nAnswer: 48188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s - 5. Let d be i(1). Let l be (-8)\/(-28) + 1321\/d + 1. Let k be (-22)\/1045*-5 + (-376)\/(-38). What is the highest common factor of l and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 + 72\/15. Suppose 13 = r*z - l, -5*z + 2*l = -10*z + 4. Let i = 627 + -620. Solve -3 - i = -z*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135723.54 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2282, -2291, -2302, -2315?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f - 8 = 0. Find the second derivative of -7*z**3 - z**f + 7*z**3 + 3*z wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -18, -96, -258, -534?\n\"Answer: -5*p**3 + 3*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 + 7 - ((-3 + 5 - -3) + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20287 + -23113. Round c to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = i - 16, -5*i + 0*h + 116 = -3*h. What is the highest common factor of 198 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u**4\/2 + 55*u**3 - 114*u**2 - 28*u = 0 for u.\nAnswer: -14, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192319 is divided by 5988.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240*y + 478*y - 76*y)*(8*y**2 + 5 - 13*y**2 + 2*y**2).\nAnswer: -486*y**3 + 810*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 340.1 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*b, 2*y = 3*b + 4*y - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57 - 15\/10*15\/(150\/(-20)). Solve 11*n - o + 148 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.6*956403.9.\nAnswer: -13963496.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*m - 6 - 6, 0 = -v + 3*m - 12. Which is smaller: -2\/9 or v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172945 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -709 - -1?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 718\/2118 - (-14)\/(-42). Let l = s - -1398\/2471. Let t = 3 + -2.5. Put t, -4, l in decreasing order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 539*x + 11218. Calculate n(-22).\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 17, o: 1}. Give prob of picking 1 u and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-20) - (-27137)\/55. Let a = -299 + c. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) -11 (c) -13\/3 (d) -4 (e) 57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*p**5 - 10689*p**4 - 36480*p**3 + 1386600*p**2 + 3270000*p - 50250000 = 0. Calculate p.\nAnswer: -67, -10, 50\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 2*b - 2. Let r be d(3). Solve -7*v + r = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose -d + t*d - 9 = 0. Find the third derivative of -3*k + 3*k - d*k**2 + 4*k**4 - 3*k**4 wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 542444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15083\/6 + -2513. Let g = 89\/36 - 20\/9. Which is the nearest to 1\/2? (a) l (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r + 234. Let x be l(-15). Calculate the remainder when 99\/x*1\/(-3)*12 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/20 - 3*m**4\/4 + 8*m**3\/3 - m**2\/2 + 1289*m. Give p(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + 40. Suppose 2*o - b = 3*x, -o - 2*x = -3*o + 104. Is 3\/9 + o\/3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32293.2 times 63\nAnswer: -2034471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c\/((c*c**(23\/4))\/c)*c)\/c**(-17) assuming c is positive.\nAnswer: c**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1947*x - 202492. Give y(-104).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -15, 0.4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2805 and 857106.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**5\/330 + z**4\/11 - 12*z**3\/11 + 2*z**2 + 20. Let k(h) be the second derivative of q(h). Factor k(r).\nAnswer: -2*(r - 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*s + 31 = 0, 3*r + 0*r - 16 = 2*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3900 and 103\/25854?\nAnswer: 16805100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y**3 - y**3 - y**3)*((-1 + 1 + 1)*(y - 2*y - y) - 2*y + 0 + 0) + (-20*y - 22*y + 12*y)*(19*y**3 + 11*y**3 - 5*y**3))*(2 + 0 - 4).\nAnswer: 1484*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 4*s**3\/3 + 153838. Let w(v) = 4 - 4 + v + 19*v**2. Give k(w(d)).\nAnswer: 1444*d**4 + 152*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 20 = -4*h, -g = -4*h - 0*g - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.89 + 167.29. Let l = i - 160. Let u = -4\/161 - -374\/2093. What is the second biggest value in u, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8 - n**2 + 0*n - 2*n + 5*n. Let d be u(5). Sort -8, d, 3, 1 in decreasing order.\nAnswer: 3, 1, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 + 812 = 16*j + 82*j - 733 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 16596385*c + 16596390.\nAnswer: -5*(c - 1)*(c + 3319278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1189*y + 1189*y - 4*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 4 (c) 130 (d) 3 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -34, 0.6, 4, 76\/7, 2\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 1. Let h be v(0). List the prime factors of (-49)\/(-4) - h\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:45 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*i, 4*x = -x - 3*i + 5. Let j(y) = 3 - 3 + x*y. Let s(r) = 2*r. Give j(s(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581 = -8*m + 47*m + 160 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 192*j - 27254. Give r(147).\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2873 (base 14) to base 13.\nAnswer: 3347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -4*g**3\/3 - 3*g**2\/2 + 2*g - 2. Let d be q(-3). What is the units digit of (0 - 1)\/(5\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-2)\/(-35))\/(3\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-5))\/(1\/(55*-6)). Let q = -120 + u. Solve -2*j - q = -6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 21. Let i = 18 - p. Suppose 1 + i = 4*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 348 = -198. Solve -n = -4*v - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66524 + 1650 + 302276 = 5975*s for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 67*x**2 - 2*x - 2. Suppose k + 2*j = -2, 4*k - 27 = 5*k - 3*j. Let v = 11 + k. Is o(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, t: 1, e: 3, c: 1, x: 5}. Give prob of picking 1 t and 2 w.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddyyddddydydd. What is prob of sequence yydy?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/11 - 4\/22. Suppose 5*m = q*m. Suppose -3*v = 3*p - 45 - 144, m = -3*v - 4*p + 186. What is v rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 - 3*r**2. Let x(s) = -9*s**3 - 7*s**2 - 1. Give 5*o(i) - 2*x(i).\nAnswer: -2*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656 and 24553608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**3\/2 - 2236377*x**2\/2 - 26837388*x = 0.\nAnswer: -24, 0, 745483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 411\/(-42) + 10 + 0. Which is the second smallest value? (a) d (b) 2\/3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*j**4 - 2 - 80*j**2 + 6*j**3 + 44*j**4 - 2*j**3 + 82*j**2 - j in the form a + p*j + d*j**3 + t*j**4 + v*j**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**4 + 2*s**3 + 3328*s**2 - 70389 wrt s?\nAnswer: 8*s**3 + 6*s**2 + 6656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - -4?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22815 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -618.17 - -633.17. Let u = 5.1 + -1.1. Let w = -4 + u. Which is the fourth biggest value? (a) y (b) w (c) -0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368204291?\nAnswer: 3, 16891411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 23*b + 1. Let u be f(1). Suppose 0*x + u = -3*x. Let l(n) = 68*n**2 - 17*n - 1. Is l(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2.31.\nAnswer: -4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwwgwdcg. What is prob of picking 1 w, 1 g, and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*x = 27, 0 = 4*i - 238*x + 242*x - 20 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 a factor of 2283556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(44))**2 - 1*sqrt(33)\/sqrt(3).\nAnswer: -sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 589 + 3497*m**2 + 528 - 1117 + 565*m wrt m.\nAnswer: 6994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s = -220. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68a (base 12) in base 9?\nAnswer: -1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16.743?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:15 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 319 = -97. Calculate the remainder when g\/10 - 50\/(-125) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 380.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6271712*b**4 + 7678*b**2 - 2164*b wrt b.\nAnswer: 150521088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -914446 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 825 + -770. What is the nearest to -2\/3 in -5, j, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52822 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41989315 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*k - 445878, 8 = 41*m - 45*m. Round k to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2 + 4*n + 5. Let j(q) = 11*q**2 + 7*q + 9. Let c(r) = 3*j(r) - 5*s(r). Let h = -4 + 7. List the prime factors of c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 2*k - 4. Let g(m) = 10*m**2 - 5*m - 11. Let d(l) = -5*g(l) + 13*x(l). Calculate d(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/21 + (-2)\/7. Suppose 22 = -5*u - 5*z - 53, 0 = 4*u + 3*z + 57. What is the remainder when 179\/o + 6\/u is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7199904 to the power of 1\/2, to the nearest integer?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 7736 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 12. What is the lowest common multiple of 9 and a(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/2 + 38313*o**3 - 244685970*o**2 + 489218700*o.\nAnswer: -3*o*(o - 12770)**2*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*a + 13116 - 9420 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5213052?\nAnswer: 2, 3, 13, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 16 = 7*l. Suppose -21*j = -l*j - 1280. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = -1767. Let j = 2313\/4 + c. What is the common denominator of j and 99\/4 - (-2)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 8*n + 0*n + 2*n - 21. Let d be b(-21). What is the third smallest value in 1\/2, -3, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3*y)*(0 + 1 + 36*y + 0) in the form m*y**2 + p + t*y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*z + 2*w, 0*z - 4*z - 36 = -5*w. Let j be z\/2*(-4)\/6. Suppose -2\/3*i + 0*i**2 + 2\/3*i**j + 0 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*i - 0*p - p - 66 + 70, 0 = -3*i + 2*p - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 48*s - 42 = 50*s, y - 1 = -5*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612464 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -511?\nAnswer: 81\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.1463 and 16882.\nAnswer: 16892.1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6*u - 76956*q**3*u - 3843*q**2 - 3*u wrt q?\nAnswer: 120*q**3*u - 461736*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*4\/(-3). Suppose 93 = -m*f - 179. Let l = f - -212. Calculate the lowest common multiple of 4 and l.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79 - -27 - 118) + 112.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 31*w = 3942. Let y = w + -3341. Let r = -829 - y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1219\/54 + 45\/2. Suppose 8 + 0 = 4*s. Let a be s - 2*3\/6. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25007*2\nAnswer: -50014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 30 = -4*s. Calculate the lowest common multiple of 9 and s + (-5)\/(-35) + (-40)\/(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(-3) - (-5986)\/123 is divided by (-97)\/(-5) - (-14)\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2 - 18434094*o + 18434092 = 0.\nAnswer: 1, 9217046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 890*s + 894*s - 406 = 0, -4*v - 5*s = -539. Let m = 102 + -69. Calculate the remainder when v is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*h = l - 6, 4*l - 12 = -4*h. Suppose -l*a = -2*b - 13, -4*b + a + a - 6 = 0. Solve -3*m + 9 = 0, -g + 9 = m + b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + n - 5. Suppose 25 = 13*k - 8*k. Let t(g) = -g**2 - g + 3. What is k*t(f) + 3*d(f)?\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 93*y - 5*y + 53 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14638695061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*t, 4*z + 38 - 16 = -5*t - 50 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 252*v**4 + 6495*v**3 - 33750*v**2 - 445500*v - 405000.\nAnswer: 3*(v - 30)**3*(v + 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/84*7*2\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55\/8 + -259\/40. What is the nearest to 0 in -1\/2, 3, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-480)*(-40)\/6*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6770745?\nAnswer: 3, 5, 19, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43185184829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + (-18 - -13) - -2) + -45.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*x - 279*x + 406 - 4 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3360400 and 112?\nAnswer: 23522800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 - 2*t**2 - 2*t. Suppose y - 1 = -0*y. Let l(u) be the first derivative of -u**4\/4 + u**3\/3 + u**2\/2 + 699. Determine y*q(k) + 2*l(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61724773\/1064 + 58012. Let t = u - -6465\/1064. Calculate the common denominator of t and -9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/10)\/((-448)\/(-840))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 9:15 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 take away 22727.22?\nAnswer: -22572.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 17*m + 11*m - 2*m + 20*m.\nAnswer: 3*m**3 + 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 1. Let g = -3 - 0. Determine f(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/2 + 7*b**3\/3 - 7*b**2\/2 + 13*b - 52. Let n(m) = m**3 - 4*m**2 + 4*m - 7. Let z(o) = 4*i(o) + 7*n(o). Determine z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -719.2 - 7265.\nAnswer: -7984.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338071 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*g, 78*u - 4*g = 82*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 + 516\/27. Let t = -400\/21 + d. Let r = -25143 - -25142.935. Are r and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 5. Let m be v(1). Suppose 2*w = -m*o + 18, -2*w = -o - 2*o + 27. Solve -1 = 4*d + 2*j + o, 4*j - 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16835940 a multiple of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 2*b + 5*b - 3*b + 49*b**2.\nAnswer: 49*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + f**2 - 2*f - 8*f + 4*f**3 + 1. Is l(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*w - 2*g - 15, -3*w - 4*g = -9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 90*v = -1 + 1. Factor 6\/7*q**3 + 0 + 0*q**2 + 2\/7*q**4 + v*q.\nAnswer: 2*q**3*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423055 divided by -211?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/9)*y)\/y)**39 assuming y is positive.\nAnswer: y**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*k - 32, -3*k - 99 = -5*o - 5*k. Calculate the remainder when 19 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786893712 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 - 1885*s**3 + 31115*s**2 - 127475*s + 98250 = 0.\nAnswer: -393, 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4907 + -24533\/5. Which is the second smallest value? (a) -0.1 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 80 + 235 = -23*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 680*w**2 + 6*w + 4. Let g(y) = 340*y**2 + 3*y + 2. Give -5*g(n) + 3*q(n).\nAnswer: 340*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 6*k**2 - 2*k + 9. Let c = 21 + -15. What is v(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 take away -9.826?\nAnswer: -39.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.3 - 1. Let h = -6.2999906 + o. What is h rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2)*-5 - 1*sqrt(48)) + -6*(sqrt(3) - (sqrt(3) + -2 + 4))**2.\nAnswer: -24 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {g: 7, r: 1, u: 12}.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 171 = 5*y - 15, y + 0*y - 24 = 2*y - 3*k for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**4\/30 + g**3\/5 - 2*g**2\/5 - 10*g. Factor b(r).\nAnswer: -2*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1406.20274 and 0.2.\nAnswer: -1406.00274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 7*w**4\/2 - 59*w**2\/2 + 9. What is the second derivative of p(s) wrt s?\nAnswer: 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:22 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33556049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 5667*q + 1112830.\nAnswer: -(q - 190)*(q + 5857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 15*x**2 - 14*x + 4. Let n be u(-14). Suppose 2 = -q + 4. Solve -q = -5*s - y, y = -2*s + n*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*w + 3218*w - 81068 = 135808 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 13 - 29 + 12 - 3*l**3.\nAnswer: -7*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 22 + 18. Let h be (v\/10)\/((-9)\/45). What is the second derivative of 21*y + 4*y**3 + 2 - 6 + h wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135523, -135517, -135507, -135493, -135475?\nAnswer: -135453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2652 + 2726. Let l(j) = -j**2 - 4*j. Let v be l(-6). Let r = v + h. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 39 = 14*v, -2002*h - 22 = -2007*h - 3*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 238.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86 - 6*c**3 - 3*c**4 + 86.\nAnswer: -3*c**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**5\/20 - 2*m**4\/3 - 5*m**3\/3 + 13*m**2\/2 + 3*m. Let i be v(9). What is the second biggest value in i, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25\/5668 - 157553\/8734388. What is the common denominator of 40\/67 and j?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.58 - -2.12. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a litre in millilitres?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*(-28)\/(-175). Which is the biggest value? (a) 19 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from yyxwyywyyyywwyt.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -8984005233228?\nAnswer: 8984005233227.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(50\/16) - 19\/19.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183234 (base 12) to base 16.\nAnswer: -66988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/120 - 7*a**5\/60 + a**3\/2 - 91*a**2. Give q(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -3*w. Suppose 5 = 2*p + w*v - 5, -25 = -5*p - 2*v. Solve -4*l + 3 + p = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 20. Suppose b*x - 114 = k - 2*k, k = 3*x + 102. Let q be (-2)\/13 - k\/(-26). Solve 0 = 2*t + q*y - 18, 6*t = 3*t - 3*y + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1)*(-2 - 2). Suppose p*w + 136 + 64 = 0. Let u = -30 - w. What is the least common multiple of u and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.57 - 2.7. Let x = -0.01 - p. Let h = x + -0.12. Which is the closest to h? (a) 3 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, -5, -121, -1 in descending order.\nAnswer: 2, -1, -2, -4, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 5:26 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 12331?\nAnswer: 12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2158 = -3*f + 5*o, 3*f + 0*o + 2*o - 2186 = 0. Suppose 2*d - 258 = f. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74117 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 2209456 - 1480544. Round k to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.43 + 3.73. What is the closest to -0.1 in 1\/4, -4, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-2))\/((14985\/8190)\/111))\/1\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 2.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73552 or -73238?\nAnswer: -73552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 37*d**2 - 7*d + 270. Let u be x(37). Solve -u = a - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 13*m**6\/6 - m**4\/6 - 9*m**2 - m - 114. What is the first derivative of k(g) wrt g?\nAnswer: 260*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/20 and -101\/107080560?\nAnswer: 107080560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1482\/76*1560\/(-845)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from ggglgggggglglggllggg.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9*2\/42)\/(6\/(-21))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-90)*24 - (5 + -2) - -1. Let i = 11\/8 - 149\/120. What is the closest to s in -6, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8327 = 5*m, -5*i - 1562 = -m + 113. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(38)\/(sqrt(18) + sqrt(2)) - (sqrt(19) - 2*sqrt(19)*-3)) + -5*sqrt(76)\/((-3*sqrt(48))\/sqrt(12)).\nAnswer: -55*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1553.26us?\nAnswer: 1553260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15 + (0 + 0)\/(-1). Let f(l) = -36*l - 296. Let y be f(-8). Let u = y + i. Solve -3*o = -u*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175359*y**3 - 175359*y**3 + 2*y + 2*y**2 + 375 - 6556*y**4 wrt y.\nAnswer: -157344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 26. Suppose -n*y + 2*b + 8 = 0, -3*b - 20 = -y + 2*b. Suppose y = -5*z + 146 + 24. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*i + 1 = -d + 453*i + 2, -18*d = -50*d - 4*i - 232 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*m - 3 = 0, -m + 15 = 24*n - 19*n. Put n, -0.4, 5, -8 in decreasing order.\nAnswer: 5, n, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from auheueaeaaauaaeaae?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2 - 5861098*n + 4997436 wrt n.\nAnswer: 2*n - 5861098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (117 + 218 - 197 + 2*k**3 - 3*k)*(-7 - 1 - 2) to the form y*k + q*k**2 + r + m*k**3 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.178598 times 7?\nAnswer: 15.250186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*w - 3 = -5*w, -3*w + 14 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -1308.455176.\nAnswer: -1302.455176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 5. Let c be k(4). Let p be (-1)\/(0 - c\/2). Find z, given that 0*z + 2*z**p + z + z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56292407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 3, p: 10}. What is prob of picking 1 d and 3 p?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Suppose -2*l + d*y = 16, 4*y - 30 = l - 6*l. Suppose s = -5*b - 16 + 1, -l*s - 15 = 5*b. Solve -3*i + i = s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 3. Let g(y) = 101 + 97 - 5510*y + 5482*y. Let b be g(6). Calculate the highest common divisor of o and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -11 - -6 - (7 - (-6 - -12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 389910 times -1\nAnswer: -389910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = 4. Sort 3, 2, f in decreasing order.\nAnswer: f, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18324\/252 + 4\/14. Suppose j*y - 216 = 65*y. What is the greatest common divisor of 243 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2986?\nAnswer: 298a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-90)*(90\/21)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-6525)*-36*(-1)\/4*(-7 + -3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/9 (b) 0.4 (c) 2\/3 (d) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -26. Let o = -80 + 120. Calculate the remainder when o is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 246114?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from ooopgppagyo.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 508616 + 1.\nAnswer: 508617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -6 + -1*(5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.83 - 34.17. Let k = 35.4 + f. Let m = -1.7 - -1.2. Which is the biggest value? (a) k (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/2 - 2*i**3\/3 - i**2\/2 - 4152*i. Let h(d) = 17*d**2 - 11*d - 2. Let l = 21 - 25. Calculate l*h(w) + 11*q(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*k + 52*k - 499 + 67*k.\nAnswer: 4*k - 499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 123458, 123453, 123444, 123431, 123414?\n\"Answer: -2*g**2 + g + 123459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 4*b + 3*b)*(-b**3 - 7 - 199 + 16).\nAnswer: 2*b**4 + 380*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5\/155)\/(3\/(-6))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(3\/7))\/(i\/i**17))\/(i*i*i\/(i\/i**20)*i**(13\/5)))**(6\/23) assuming i is positive.\nAnswer: i**(-1686\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7113\/22 - 647\/2. Let f = 11 - 11.05. What is the third smallest value in -3, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 10)\/((-1368)\/(-5976)). Which is smaller: 60 or b?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3 + 10. Let v(c) be the first derivative of -c**2\/2 + 1. Give v(o(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/14)\/((w\/w**(-2\/3))\/w*w))**21 assuming w is positive.\nAnswer: w**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9*3*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3357?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 27 = 5*k, -2*k + 5*v - 5 = -5*k. What is the second derivative of -4*u**3 + 7*u + k*u**3 - 6*u**3 + 3*u wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15671791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830\/(-1080) - (-10)\/8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - -6*(-3)\/6. Suppose k = -5*n + 141, -n + w*k + 3*k = -41. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 21, 1, -3, -2 in increasing order.\nAnswer: -3, -2, 1, 4, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*k - 590 = -180, 5*k - 755 = -4*q. Suppose -3*h = 5*w - 323, 3*w = -h + q - 2. What is the greatest common divisor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256495919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -35.2.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - -2*(sqrt(162)*2 + sqrt(162)) - (sqrt(162) - (4 + -2*sqrt(162)))) + 4*(0 + sqrt(162) + -3))**2.\nAnswer: -1152*sqrt(2) + 10432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3958000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -a + 3, -5*a + 12 = 7*h - 3*h. Let p(d) = 3*d + 6. Let y be p(a). Suppose -5*m + 3*m = -y. Solve u + 2 = z, -2*u - m - 4 = -z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5476*d**2\/3 + 592*d\/3 - 16\/3 = 0?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**3 + 11*o**3 + 28*o**3 + (-2*o + 0*o - o)*(-o**2 + 2*o**2 + o**2 + o - o**2 - o + (4 - 2 - 3)*(-6*o**2 + 0*o**2 + 4*o**2)).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(6325\/875) + -2 + 5.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 98*j**3 - j - 1. Let k be g(-1). Suppose -17*l - 100 = -5*l - 13*l. Let r = l + k. Solve 2*p + 4*n = -n - 26, 0 = p - r*n - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from iiiifbiiiibiiiib.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, 23.2, -1\/4 in descending order.\nAnswer: 23.2, 5, 1\/4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17*(-2)\/816*-3\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195725 + 136295. What is u rounded to the nearest one thousand?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -26581*r - 2. Let z(s) = -598391255*s - 45025. Let k(n) = -45025*l(n) + 2*z(n). Let i(x) = 2*x. Calculate i(k(m)).\nAnswer: 54030*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-2)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-28)\/(-8) + -3). Let m(n) = -6*n - 2 + 300*n**2 - 146*n**2 - 155*n**2. Give m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*r**4 - 7*r**2 + r?\nAnswer: 4128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 - -0.3. Let q = 2 - z. Suppose -17255*w + 17235*w + 100 = 0. Which is the second biggest value? (a) q (b) w (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjzejjejkzjjk. What is prob of picking 2 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 24, 7, -12, -16, -4 in ascending order.\nAnswer: -16, -12, -4, 6, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(112)*-2 + -3.\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-20)\/r)**42)**(1\/18) assuming r is positive.\nAnswer: r**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8679.1 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 98*m - 306 + 15 + 407.\nAnswer: 98*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 3. Let r(q) = 3 + 0 - 5 + 3. Let v(g) = -l(g) + 4*r(g). Let c(t) = 5*t + 1. Let u be 1*7\/(7\/4) - 2. Give u*c(x) - 3*v(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4 - 678*o**3 + 42105*o**2 - 429174*o + 926640 = 0. Calculate o.\nAnswer: 3, 9, 104, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102341054 + -102296553.4868. Let g = 44493 - s. Let v = -7.5 - g. What is v rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from {b: 1, s: 1, e: 8, r: 4, f: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + 6*j**2 + 7*j + 14. Let i(u) = u**3 + u**2 + u + 1. Calculate -c(z) + 5*i(z).\nAnswer: 2*z**3 - z**2 - 2*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 7*k - 2. Let t be d(-5). Let n = t + 17. Differentiate -6 + 4 - n*m**3 + 8*m**3 with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/56 + 14\/(-24). Sort 3, o, -2.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81276 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50107 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4351, 8736, 13121, 17506, 21891, 26276?\n\"Answer: 4385*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1609 + 2352 + 183 = 148*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 + 7*k**3\/2 - 17*k**2 + 65*k\/2 - 75\/4.\nAnswer: -(k - 5)**2*(k - 3)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 7*h = 96. Which is the third biggest value? (a) 0.4 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11538811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5272, -5301, -5298, -5245, -5124, -4917?\nAnswer: -4606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 31 = -t, 2*c - 22 = -176*t + 177*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5\/6 (b) -3 (c) -1\/7 (d) 2\/3 (e) -988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 135 = 3*i - 6*i, -2*j - 2*i = -250. Let d be (-4)\/6 + 254\/(-6). Let u = d + j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1172 and 1712878?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5473084546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.6174 tonnes in milligrams?\nAnswer: 880617400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.67898 to two decimal places.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 7. Let r = -122 - -124. Let t = r + l. Which is the second biggest value? (a) t (b) -7\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/6302 and 1290\/(-1400)*-7 - 3.\nAnswer: 63020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44797829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(3*z**2 - 3*z**3 - 3*z**2).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(121)\/(sqrt(22)\/sqrt(2)) - (sqrt(11) + (-1*sqrt(132))\/sqrt(12))) + 4).\nAnswer: -4 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -10, 4\/7, -0.2, 1.9, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 3. Let n(a) = -8*a + 0 - 17 + 13*a + 5. Let r(t) = -t - 1. Let l(s) = n(s) + r(s). Give 9*b(u) - 2*l(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*l*r**2*v - l*r**2 + 14*l*r - 6*l*v**4 - 43*r**2 + v**4 wrt v?\nAnswer: 6*l*r**2 - 24*l*v**3 + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-375)*(-320)\/(-128)*(-1)\/1.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - b = 87, -v + 54 - 20 = -2*b. What is the remainder when (6 + -4 - 3)*-50 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + ad?\nAnswer: ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 782*s + 5830. What is l(-253)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46531969*w**5 + 51*w + 355974 wrt w?\nAnswer: -930639380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(162)*-3)**2 + sqrt(162) + sqrt(162)).\nAnswer: 54*sqrt(2) + 4374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157038 (base 10) in base 6?\nAnswer: 3211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 456*r - 549*r + 254 + 1513 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 257846 = -233*i + 231*i, 3*c - 644567 = -5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.22. Let o = h - 2.02. Let k = -1005\/17 + 59. Which is the closest to 1\/4? (a) 5 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let v be -3 + n + (-12 - -5). Let s = 76 - v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 486*m + 487*m = 0, 8*m + 26 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144994, 579872, 1304668, 2319382, 3624014?\nAnswer: 5218564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 28ca4?\nAnswer: 28c9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0 - 1\/2*c**3 - 17407\/4*c**4 - c**2 - 3*c. Let b be y(3). Round b to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 43 = 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w + 26*w + 8. Suppose 2*y - 6 = 2*j - 2, -y = 4*j - w. Suppose -y*g - 69 = -251. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kffikmmmfffjkffittff. Give prob of sequence ki.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1894269305 + 426*q - 1894269305.\nAnswer: 426*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3 = 6*m. Let b be m\/2 - 4\/8. Solve -2*a - 10 = w + w, -a + b = -2*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8775, -34463, -77277, -137217?\n\"Answer: -8563*i**2 + i - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 5*h**2 + 19*h - 2*h**2 - 606 + 606.\nAnswer: -h**2 + 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 19903?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.26 from 2347.\nAnswer: 2347.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 18*r**2 - 31*r**2 + 24 - 3*r + 20*r**2 - r**3 + 0*r**3. Let n be z(7). Solve -2*h - j - 2*j = -n, -5*h = 5*j - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + n + 8*n**4 - n**2 + 3*n**4 - 3 + 0 to u + l*n**3 + p*n**4 + o*n**2 + z*n and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(2 + 1 - 1)*(1 - 2 - 1)*(-1 + 1 + 2*y**2).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q**2 - 113*q - 680. What is w(-8)?\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 30*h - 6712. Calculate x(211).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*s - 108*s + 50*s - 8*s**2 + (-2*s - 2*s + 3*s)*(0*s - 6*s + 4*s) + 2*s**2 - 2*s**2 + s**2.\nAnswer: -5*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 335578537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3702 and 180644026?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 + 17*o - 8. Let m(k) = k**2 + 4*k - 1. Give -5*m(f) + r(f).\nAnswer: f**2 - 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 114756?\nAnswer: -57378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1513*u - 300 = 1498*u. What is the greatest common divisor of u and 5540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 1121?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 + 92.1. Let g = f + -0.1. Let d = 6512.42 - 6512.4. Put 3\/8, 0.4, g, d in ascending order.\nAnswer: d, 3\/8, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 45 = 5*f. Suppose -f = -5*j + 1. Let v(z) = 9*z**3 + 4*z**j - 8*z**3 - 7 + 3*z**2. Calculate v(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 3*t + 1. Let f = 13 + -9. Let w be (3\/f)\/((-1)\/(-4)). Let s be 40\/(-30)*(w + 0). Give y(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.5 and -0.4.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus -11635?\nAnswer: 11655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5*d**4\/4 - d**3 - 3*d + 3. Let h(y) = -y**3 - y**2 - 2*y + 4 - 5 + 2*y. Determine -f(l) + 3*h(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1215, 2410, 3605?\n\"Answer: 1195*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3802 is divided by 159.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -6. Suppose -16 = -c*a + 4. Solve 2*v - 8 = -2*m, a*m + 0*v = 3*v - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*c - 107*c - 51*c)*(-5 + 1 + 1)*(-1 + c + 1) to the form m*c + b*c**2 + p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/95)\/((-1434)\/(-2390)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*o**6 - o**3 + 136*o**2 wrt o.\nAnswer: 13800*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4*(-44)\/66)\/((-12)\/648)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44100000 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285*d**6 - 12*d**2 - 57*d**6 + d**2 + 102*d**2 + 11*d**6 - 2*d wrt d?\nAnswer: 28680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-7 + 9)) + (12 - 17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313075 is divided by 129?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/184 (b) 0.23 (c) -0.3 (d) 10 (e) -1 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -1\/9 (b) 3\/7 (c) 1 (d) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1402 * -0.41\nAnswer: -574.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 60*g**2 + 1832*g - 2998. Give v(-32).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgcgtngttnn. Give prob of sequence tngg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from ttttttttttttttg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1704, 10\/9, -0.2 in decreasing order.\nAnswer: 1704, 10\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llltlllkllllull. Give prob of sequence lt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1064 divided by -133.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 divided by 595?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 10 = 5*v. Calculate the remainder when v is divided by (-2)\/(-1) + -6 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2400759, 2400962, 2401165, 2401368?\n\"Answer: 203*u + 2400556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Suppose 8*i = m*i + 6. What is the third derivative of 3*y**i - 2*y**4 - y**4 - y**2 - 3*y**2 wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhr when three letters picked without replacement from hhhrarr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*l - 160*l = 194*l + 5170 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c + 5*g, -3*g = -4*c - 4*g + 10. Suppose 0*w + w - c*k = 223, -1055 = -5*w + 3*k. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 2:59 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -27*g**5\/5 + 38*g**3\/3 + 35. Find the third derivative of h(m) wrt m.\nAnswer: -648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 31*q - 202. Determine o(-13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -661\/298, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -13. Let k = 0.1 + p. Does 0.09 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3344 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14.621? (a) -2\/11 (b) 2\/51 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2803, -4451, -6099?\nAnswer: -7747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b + 6, 0 = 5*n + b + 192. Let p = -601 - -642. Let z = p + n. Solve q - 3 = -z*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - -3) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:38 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 1207 - 96 = 0. Let u = s + -25. Let z = 106 - u. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -13*w - 7*w - 2*w. Let -10\/7*l - 2\/7*l**3 - 4\/7 - 8\/7*l**w = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**2. Let c(a) = -a**2 + 11*a. What is n(c(g))?\nAnswer: -9*g**4 + 198*g**3 - 1089*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 + 4*q - 1. Let c = 23 - 26. Give v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 7) to base 14.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10620 - 45918 = -1339*o + 41025 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3 - l - 1 - 1. Let k be r(-1). Does 11 divide (24 + k)\/(2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**6\/60 + i**5\/21 - 11*i**4\/84 - 2*i**3\/7 - 77*i**2. Factor u(q).\nAnswer: 2*(q - 1)*(q + 2)*(7*q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 + s + 3. Let k be a(0). Factor 2\/3*w**2 - 4\/3*w + 10\/3*w**4 + 16\/3*w**k + 0.\nAnswer: 2*w*(w + 1)**2*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 36950492.\nAnswer: 36950492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6611, -26460, -59543, -105860?\n\"Answer: -6617*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36547000 rounded to the nearest 100000?\nAnswer: 36500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.289 times -3?\nAnswer: 0.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*q - 4*s, -5*s - 4 = -0*q - 4*q. Let h = q + 3. Which is greater: h or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/10 + 359*b\/10 + 179\/5 = 0.\nAnswer: -358, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013552691 to 6 dps.\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/63 and 82\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 7*w - w. Let z = w - -1. What is the highest common divisor of 110 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*t**4 + 4020*l*t**3 + 2035*l*t - 3*l wrt t?\nAnswer: -24*l*t**2 + 24120*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (12 + (6 - 4) + -7 + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4c72a (base 14) to base 15\nAnswer: 3aa87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:41 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(102)*-2)\/(-2*sqrt(864)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -1\/2, 24\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 - 33273*t**2\/7 - 5182242*t\/7.\nAnswer: -3*t*(t + 158)*(t + 10933)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/17170 and 127\/17170.\nAnswer: 17170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -n - 12, -n - 19 = -5*s + 2. Let j = -14 - n. What is the units digit of (4 - -89)*j\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/5 - 9862154*j**2\/5 - 19724311*j\/5 - 9862156\/5.\nAnswer: (j - 9862156)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*z - 45*z + 193*z - 34*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2304 - 2323.02. Let l = 22 + q. Let o = -0.02 - l. What is the third biggest value in 1\/3, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 9. Let i be 16\/10 - 16\/(-40). Let m(l) = -l - 3. Let g(p) = i*s(p) + 7*m(p). Let j be g(-3). Solve 4*x + 0*x - 16 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 346 + -342. Let z be 4\/(-10) - 102\/(-105). Which is the smallest value? (a) -1 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-2)\/(-7)*(-1)\/(-24)*28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-35)\/15 - 2\/(-6). Which is the closest to l? (a) 3 (b) -2\/3 (c) -2\/21 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.460098 take away 2?\nAnswer: -2.460098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:15 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85485900 by 21642.\nAnswer: -3950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 19*q - 10. Let p be (1 + 18*-1)\/(-1). Let i be g(p). Let x = 22 - -3. Which is greater: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 96 = 4*f - 548, 4*v + 175 = f. Suppose 2*o = -0*o + 4. Suppose o*c - 4*q - f = c, 4*q + 12 = 0. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = i + 4*i. Let z(f) = -f**2 + 24*f + 27. Let p be z(19). Let w = p + i. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8766985 from 0.102.\nAnswer: 8766985.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 816655032 a multiple of 1308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + 6*j + 1. Let t(x) = -14*x**2 + 17*x + 3. Let q(c) = 11*o(c) - 4*t(c). Let i be q(-1). Suppose -8 = -v + i. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from nnwnwwwwwwwnwwnw?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260282984?\nAnswer: 2, 13, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -619635*s**2 - 5148475*s wrt s.\nAnswer: -1239270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431729 - -797005. What is the remainder when (-5)\/(-7) + -1 - n\/(-742) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 22 = 3*u. Let r be (1\/4)\/(u\/192). Let 2\/3 - r*y + 2*y**2 = 0. Calculate y.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 3*m**2 + 3*m + 2. Let k be o(4). Let w be (-28)\/(-3) - k\/(-6). Let u = w - 5. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/191 - -400\/1719. Which is the nearest to 0.3? (a) 1 (b) 3\/8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*o + 12, 4*g = -19*o - 8*o + 336849 - 336899 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477 = 55*y - 2*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:26 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, r: 8, s: 5, d: 1}. Give prob of picking 1 d, 2 s, and 1 v.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**3 - b**5 + 5*b**3 - 2*b**5 - 3*b**5 + 6*b**5 + 4*b**5 + b**5 - 3*b**5 + (2*b**3 + b**3 - b**3)*(b**2 + 0*b**2 - 3*b**2).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 - 9*o + 2. Let r be b(3). Let i be 56\/r*5\/(-2). Let k(h) = -5*h**i + 5*h**2 + 2*h**2. Let g(x) = -2*x - 5. What is g(k(j))?\nAnswer: -4*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 28 - 107 = 0. Suppose 4*p + 3 - f = 0. What is the derivative of -5*r**3 + 2 + p*r**3 - r**3 + 3*r**4 wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11120, -44468, -100048, -177860, -277904, -400180?\n\"Answer: -11116*p**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216615439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4977*w**2 + w - 12977*w**2 + 0*w.\nAnswer: -17954*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z + 781. Let f(b) = 391*b - 25001. Let q(v) = 5*f(v) + 161*i(v). What is q(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*l + o, -3*l - 3*o = -32 + 14. Solve 8*q = -l - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 550 = -9*w. Let k = w - 83. What is the smallest common multiple of k and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 364, 541, 716?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -26*g**4 + 252*g**2 + 154*g. What is the derivative of y(d) wrt d?\nAnswer: -624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34638.91 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - 22.168499897.\nAnswer: -123.168499897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -14590?\nAnswer: -9\/2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 + 249 + 1270 = -1179*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/15116535 and -26\/21?\nAnswer: 15116535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**9\/504 + 25*d**8\/336 - 7*d**6\/120 + d**5\/30 + d**4\/8 - 56*d**3\/3 + 2234*d**2. Find the third derivative of z(l) wrt l.\nAnswer: -120*l**3 + 1500*l**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69098 = -136*m + 74946 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140317 is divided by 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3487\/4 - -871. Put 1\/5, -27, h in descending order.\nAnswer: 1\/5, h, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhb when three letters picked without replacement from ubtfh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1535974, 1535972, 1535970, 1535968, 1535966?\n\"Answer: -2*h + 1535976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.24 + -24.38. Let x = -0.43 - 0.07. Let r = -5.9 - -5.6. Which is the biggest value? (a) g (b) -3\/2 (c) x (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.055 + -0.035. Let p = 0.368 + 0.552. Let i = p - m. Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -18. Let r = 23 + -14. Calculate the greatest common divisor of n and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 times -1.754?\nAnswer: -1822.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1 - 2\/1). Suppose 0 = 2*f - 3*j - 9, 2*f + 6 = 4*f - 2*j. Suppose f = -9*b + 14*b. Is b equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 10. Let b = y + -16. What are the prime factors of (-4)\/(-6) - b\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 10*a - 2*a**3 + 2505*a**2 - 2505*a**2.\nAnswer: -2*a**3 + 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/60 + i**4\/8 - i**3\/6 + 11*i**2. Let v(d) = 288 - 64 + 3*d + 2*d + d**2 - 226. Give -5*t(w) + 3*v(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4 + 1 - 2*r - 3. Let w(p) = 2*p - 3. Suppose b = k - 4*b + 26, -4*k + 4*b - 24 = 0. Let n be (1 + 1)\/(0 - k). Give n*w(i) + 3*m(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 - 7*f - 3. Determine t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9332 + 9336. Let z(h) be the third derivative of 0*h**3 + 0*h + 1\/24*h**a - 2*h**2 - 14. Let r(q) = -18*q**2. What is r(z(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.3, -27, 2\/2289?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2, -25 in increasing order.\nAnswer: -25, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -313 + 313.3. What is the second smallest value in -8\/3, -0.5, -0.4, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*p = 1716, 4*s - p + 3*p - 1708 = 0. Let m be 119\/(-3)*(-5 + -1). Let q = s - m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 45, -104723, 3 in ascending order.\nAnswer: -104723, -6, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**13*s**9)**(-8) assuming s is positive.\nAnswer: s**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 + 80. Suppose -2*x = 4*b - 22, -5*b - x + 22 = -4*x. Solve 5*m - 1 = -4*p + p, -3*p + b*m - n = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -82a + -45463?\nAnswer: -46192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 372*w - 1070*w + 31*w - 225*w - 489*w to l*w + z and give l.\nAnswer: -1381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1519 times 1\nAnswer: -0.1519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d - 6. Let f be m(-7). Let c = f + 5. List the prime factors of c*(-1)\/1 + 0.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -5*q - b - 454, -4*q + 616 = -4*b. Suppose 1446 = 9*p + q. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 4*y**2 + 4*y**2)*(-2*y + y - y) - y**3 + 2 + 7*y**3 + 0.\nAnswer: 10*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-9)\/l))\/l*l)**(28\/9)\/(l**(1\/25)\/l**(-2\/21)) assuming l is positive.\nAnswer: l**(53687\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 90*m - 1.\nAnswer: -90*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27214393 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*(-76)\/57?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 1, i: 2, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.66 (b) -13 (c) 1 (d) 3643 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 324 = 112. Suppose m - d = -m. What is the remainder when m is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:34 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000048555021 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132795 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 1 h when three letters picked without replacement from wzwahh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 8) to base 4\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 7*r - 9*r = -19. Let p(c) = -40*c - 6. Give p(r).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*i + 107, -6*i - 330 = 3*c - 3*i. Let f(g) = 2*g**3 + 8*g**2 + 2*g - 6. Let x be f(-6). Let d = c - x. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9086500 and 3207?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 - 15. Let j(t) = -11*t**2 - 31. Let c(q) = 5*h(q) - 3*j(q). What is the first derivative of c(m) wrt m?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeg when three letters picked without replacement from {e: 3, u: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 1, l: 1}. Give prob of picking 1 l and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(160)\/sqrt(5).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - 44?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(-1 + (sqrt(70) - (sqrt(70) + (sqrt(70) - 2*sqrt(70)*-3) + sqrt(70)))\/((sqrt(100) - sqrt(100)*3)\/sqrt(10))).\nAnswer: -24 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 + 6*t**2 - 6*t**2. Let g(a) = 4*a**2 + 30471 - 30471. Calculate g(j(o)).\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**3 + 10*g**2 - 5*g + 4. Let a(z) = 3*z**3 + 11*z**2 - 4*z + 3. Give 5*a(y) - 4*k(y).\nAnswer: -y**3 + 15*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 20*f - 13*f - 12*f.\nAnswer: -55*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.94 and 0.5758.\nAnswer: -0.541252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176455185 and 615?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 243 - 130. What are the prime factors of a?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -32336*v - 1649134. Determine h(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477297, 954622, 1431971, 1909344, 2386741?\nAnswer: 2864162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*q - 4037709 = 2394423. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -44. Is t at most 8\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340013049 times 1?\nAnswer: 340013049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 0.2, -2\/5, 6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1384, -2750, -4118, -5488, -6860, -8234, -9610?\nAnswer: -10988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-85)\/(12\/(-5)*(-15)\/(-2)) and (-140)\/126 - 12 - -13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k. Suppose k = -2*q + 3*q - 12. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + -2 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5*u + 7. Calculate the remainder when 67 is divided by j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 96*j**2 - 8*j + 2. Let q(y) = 97*y**2 - 9*y + 2. Let h(g) = -6*q(g) + 7*v(g). What is the tens digit of h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248606?\nAnswer: 2, 124303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.1 (b) 17 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 73*p + 326. What is the remainder when 43 is divided by c(-77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -162809764?\nAnswer: 162809765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16\/1026831 - 101788730519\/20536620. Let f = 4962 + p. Find the common denominator of f and -1*2 + 46\/8 + -9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-15)*a**15\/a assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.5 + 18. What is the third smallest value in c, 0.02, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 - -7.54. Let h = -3.92 - 0.08. Let b = -3.9 - h. What is the biggest value in z, b, -1\/12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 527 - 2144*k + 4327*k - k**3 - 1670*k - 15*k**2.\nAnswer: -(k - 17)*(k + 1)*(k + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229 - -2441.\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 42. Let y = f - 8.9999963. What is y rounded to seven decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(2736))**2 - (-2 + (sqrt(2736) + 2 + sqrt(2736))**2) - (5*(-1 + sqrt(2736))*3 + 0).\nAnswer: -16421 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.0872 rounded to 1 decimal place?\nAnswer: 32.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + (4 - -6 - (-42 - -57))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26515 + 240 + 11387 = -1467*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493, -470, -425, -352, -245, -98, 95?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 208, 288, 400, 544, 720?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 11.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 309 - 71. Suppose -4*f = -16, 7*r - n = 4*r - 5*f. Let w(m) = m. Let q(x) = -7*x. Let o(b) = r*w(b) + q(b). What is o(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1806985964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 2\/25, -1\/68, 1?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 823887 divided by -93.\nAnswer: -8859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*q - 17, 3*s + 3*q + 11 - 5 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + x = -30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4 + r**2 + 2 + 2 + 5*r - 3. List the prime factors of g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 351 + -295. What is the remainder when 277 is divided by k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 + 11960*r - 47760 = 0 for r.\nAnswer: 4, 2388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 481.987 weeks?\nAnswer: 291505737600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -424.7 minus -11?\nAnswer: -413.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stymttyspyt. What is prob of sequence ysts?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50276.47 minutes in microseconds?\nAnswer: 3016588200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.2 (b) 3\/5 (c) 3 (d) 22 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 14*j**2 - 20*j**2 + 55*j**2 + (0*j + 5*j - 3*j)*(-3 + 3 - j) + 23*j**2 - 10*j**2 - 146*j**2 as a*j**2 + w*j + g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 + -129. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*u + 1734323 - 1734251 = 0, -5*j + 2*u - 288 = 0 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*w**3 + 5 - 5 + (1 - w - 1)*(w**2 - 2*w**2 + 0*w**2) + 3 + w**3 - 3 - 3*w**3 + 3*w**3 - w**3 in the form p*w + h*w**2 + z + l*w**3 and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 646*h + 944. What is the hundreds digit of w(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80.9993 - 81. Round p to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h + 91. Let i be s(-17). Factor 0 + i - 4*d**2 - 2*d**3 + 8*d + 13 - 3.\nAnswer: -2*(d - 2)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18596 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 493663.8 nanoseconds?\nAnswer: 0.00000822773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(1\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*o**3*w**3 - 2*o**2*w**2 - 388*w**3 wrt o?\nAnswer: -1134*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -a89?\nAnswer: a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 6317, 27, -5, 14, 4 in increasing order.\nAnswer: -5, 4, 5, 9, 14, 27, 6317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - n + 1065 = 8*q, 2*q - n = 1071. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-5 - -3) + 11 + -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 8, w: 5}. What is prob of sequence jj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 369, 552, 735, 918, 1101?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-7 - -1) - 1222\/(-4277)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 5. Let z = 6 + 0. Is f(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*v**3 + 116*j**2 + 1007*j*v**3 wrt j?\nAnswer: -4*v**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x + 12. Let p be b(-6). Suppose -y - 5*y = -p. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 27 = -3*a, -3*g + 9 + 5 = -a. Let m(o) = -o**2 - 2*o - 5. Let v(d) = d - 1. Let r(c) = -m(c) + 3*v(c). Determine r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 5*j**2 + 6*j + 2. Let r = 842 - 848. What is z(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/2 - 9*u**3\/2 - 15*u**2\/2 + 325*u\/2 - 375 = 0.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 33. What is the remainder when g\/27 - 262\/(-6) is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/545 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 5, v: 1, f: 1, z: 10, w: 1}. Give prob of sequence zkwq.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjrj when four letters picked without replacement from rrrjrjrrjrjrrj?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a factor of 72068416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 87*s + 5316. What is b(79)?\nAnswer: 5948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l. Let w be d(1). Suppose 3*c - 8*c - 10 = 0. Let x be 4 + (-1)\/(-3 - c). Put w, -4, x in increasing order.\nAnswer: -4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -69319 and -214.\nAnswer: -69533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271763692?\nAnswer: 2, 131, 659, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75871388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.88029 centuries in millennia?\nAnswer: 0.688029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -190*h. Let g(a) = -a**3 + 4*a**2 + a - 2. Let i be g(4). Suppose 0 = -2*v + 4*v + i. Let f be t(v). What is the greatest common divisor of 38 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 106. What is the smallest common multiple of b and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/15*(-2064180)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o*((o\/o**9)\/o)\/o)\/o)\/o)**(5\/2)*(o**(2\/15)*o*o)\/(o\/((o*o\/(o\/o**(-17)))\/o)) assuming o is positive.\nAnswer: o**(-613\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 - 7*y + 2. Let f(l) = l - 1. Let v = -8 + 7. Let x(z) = v*s(z) - 2*f(z). Find the second derivative of x(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/(88\/(-4))*52\/(-12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -29. Let q(y) = -3*y + 0*y + r + 2*y + 0*y. Let n(w) = w**2 + 2*w + 5. Let l(v) = n(v) - q(v). Calculate l(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69549959.2+-834.49\nAnswer: -69550793.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*m - m. Put 0.5, m, 2\/5 in decreasing order.\nAnswer: 0.5, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1105, -2145, -3173, -4189, -5193, -6185?\n\"Answer: 6*s**2 - 1058*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4336\/5075 - -2\/725. Let -v + 33\/7*u - 117\/7*u**3 + 3\/7*u**2 - 81\/7*u**4 = 0. What is u?\nAnswer: -1, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/p**(-1\/5)*((p\/(p\/((p*p*(((p\/(p*p\/p**0*p))\/p)\/p)\/p)\/p)*p))\/p)**3)**(-7\/5) assuming p is positive.\nAnswer: p**(903\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 12 + 8 - (-38 - -7)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.8 + 52.7. What is r rounded to zero decimal places?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473213.5 times -0.2?\nAnswer: 94642.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*1)*-2)\/sqrt(12) + 0 - (-1*(sqrt(567)*-1 + -5))**2)*-2.\nAnswer: 188*sqrt(7) + 1184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejjjjjdfjjjjjdd. What is prob of picking 1 d and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2322 (base 4) to base 9.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6\/(-4))\/((-34)\/68) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 1 = -3*w, -17*w + 18*w + 3*q = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -117. Let p = z - 72.7. Let w = -6 + p. Which is the second biggest value? (a) 1 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99460433 a multiple of 4217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (3 - 1))*0. Suppose z = -5*y - 0*y. Let i = 5 - y. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-1 + sqrt(704) - sqrt(704))*1)**2 + (5*(sqrt(704) + 1))**2 - (5*1*sqrt(704) - (-5*2*sqrt(704) + sqrt(704) + sqrt(704)))**2.\nAnswer: -100647 + 400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*d + 8, -3 = 3*z - 3*d + 6*d. Let r be (z\/3)\/((-2)\/(-18)). Suppose 2*o = -r*q - o - 6, 22 = q - 5*o. Solve -3 = q*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + 3*b - 5 + 2 in the form h + i*b and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -10*j + 81. Suppose -2*h = -5 + j. Let g be ((-10)\/3)\/(h\/18). Solve 24 = i - 4*f, 3*i = -2*i + 2*f + g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13*(3\/(-12))\/((-2)\/40). Let c = v - -85. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.94208 - -0.05792. Put -721, 3, 1, z in ascending order.\nAnswer: -721, 1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5104.9 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*y + 5642, -4*s - y - 2*y = -11286. Let n = 28317\/10 - s. What is the common denominator of -73\/58 and n?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 20*t = -2*l - 2, -3*t + 21 = -5*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30016.325 and -16.\nAnswer: -30032.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -773 and -0.030092438507.\nAnswer: -773.030092438507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 822786 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - a - 2*a + 5*a. Let t be l(5). Let n = -22026 + 22033. What is the greatest common factor of n and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b0d (base 15) in base 3?\nAnswer: 10102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 2*g + 3. Let u be p(-1). Which is the nearest to -0.1? (a) 1\/6 (b) 1\/10 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -199 (b) -1.36 (c) 1 (d) 6 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.392739284 + 121.1.\nAnswer: 165.492739284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:12 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1067 - -11729\/4268. Let a = r - 5\/2. Which is smaller: a or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9*(-1 + -2 - 1695). Differentiate v - 541 - 564 - 51*y**4 wrt y.\nAnswer: -204*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56991 in -5, 2.3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 53 + -2 + 1 + -1 + 9.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -4\/49, -34, -1\/7, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6431.231547 + 0.131547. Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(114)*1*-6 - (sqrt(114) - 3*sqrt(114)*1))\/(6*((sqrt(294) + -1*sqrt(294))\/sqrt(7) - sqrt(42))\/sqrt(7)).\nAnswer: -5 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -3*v - v. Let b = 581260 + -581167. Is v bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6*m - m + 8, -4*d + m + 6 = 0. Suppose d = n + 4*t, 4*n - 4*t - 15 = 29. Let r(s) = -s**2 + 11*s + 12. What is the units digit of r(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - ((16 - 2) + (23 + -44 - 6)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 5, -10, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1425\/(-105) - -14) + 316\/14. Solve -5*f = -4*m - 14, 18 = -5*f - 5*m + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -8 (b) -27 (c) 2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b - 2. Let a(j) = -j - 1. Let y(t) = 10*a(t) + 2*g(t). Let z be y(9). Solve -4*s + z = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53210.55207 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/30 + n**4\/6 + 2*n**3\/3 + 3*n**2. Is 5 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-7 + (-47 - -13)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 5 + -10 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1271*d**3*v**4 + 7*d**3*v**3 - 7*d**3*v - 4*d**3 - 2*d*v - 2 wrt v.\nAnswer: 15252*d**3*v**2 + 42*d**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3934 bigger than -3761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4*sqrt(99) + -4)**2 + sqrt(99) + 4 + sqrt(99)*2 + -1*sqrt(99)*-6)*-1.\nAnswer: -1624 - 171*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 859595070 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -11*m**6\/36 - 2*m**3\/3 - 6*m + 71. Let x(a) be the third derivative of p(a). Let t(i) = -2*i. Calculate t(x(w)).\nAnswer: 220*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 3*t + 12. Let x be 376\/40 - (-6)\/(-15). Let q be o(x). Calculate the greatest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**4 + 3*j**2 + 6*j. Let t(c) = -6*c**4 + 2*c**2 + 5*c. Let k(q) = -2*h(q) + 3*t(q). Find the second derivative of k(b) wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -13*x + 77. Let g be m(7). Let d be ((-48)\/(-72))\/(g\/6). Let f = 1.535 - 1.5. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -596565 divided by 81\nAnswer: -7365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 295*a - 66416. Give q(225).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -48.6, -1\/4, 218?\nAnswer: -48.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -11. Let k = -8 + r. Let w = -7 + 4. Which is the nearest to k? (a) 1\/7 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*c - 3637, 7*c - 5442 = 4*c + 3*l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51856787 to the power of 1\/2, to the nearest integer?\nAnswer: 7201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 12. Let x be w(-9). Let v = 46 + x. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l, -l - 13 + 1 = -5*k. Let w be (4\/10)\/(6\/k). Let f = -28 + 142\/5. What is the nearest to f in w, -2\/7, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*p - 12. Solve 0 = -2*g + 4*o + 18, p*o + 2*o = -2*g - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s**(-4)*s))\/s*s*s**(-16))\/(s**(3\/2)*s*((s*s**13)\/s)\/s))**(-1\/5))**(2\/9) assuming s is positive.\nAnswer: s**(53\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 410379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 1 - (42 + (129 - 137)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5357, -10714, -16071, -21428, -26785?\n\"Answer: -5357*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 23\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -579*y**3 + 3*y**2 - y + 2. Let l be o(2). What is the common denominator of (-6)\/4*(-15)\/(-2) and 4\/22 - (-13050)\/l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6461663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -1458.8368.\nAnswer: -18964.8784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, g: 1, j: 10}. What is prob of picking 2 j?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1313, -5261, -11841, -21053, -32897, -47373, -64481?\nAnswer: -84221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4374 - -4388. What is the nearest to -0.1 in 3, i, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:14 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Suppose 5*o - 35 = 5*t, -p*t + 9 = 3*o - 2. Suppose -2*h + 3*u = 6, o*h - 5*u + 23 = 6*h. Is 3 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 52 = 6*u. Suppose -5*l + 8 = -732. Suppose -u*j + l = -9*j. Calculate the remainder when j is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1144 and 7562984?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pooeepoeepeeppp. Give prob of picking 2 p, 1 e, and 1 o.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -150\/7, 4, 2, -4, 0.5, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(-1*sqrt(425)*4 + 1*(1 + sqrt(425)) + 5))**2 + 1.\nAnswer: -5940*sqrt(17) + 138790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(8) + (sqrt(432) - sqrt(48))\/sqrt(6)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5 - 7 - 9*o + 0. Let y be f(-8). Let w = y - 559\/10. Calculate the common denominator of 2\/5 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, a + 4*c + 9 = -2*a. Let q = -5 - -14. Let p = -5 + q. What is the nearest to -0.1 in 3, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 1000 = 73*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041295.\nAnswer: 5, 53, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 7*g - 2. Let s be -2 - 132\/(-33) - -3. Let h(t) = -2*t + 1. Let j(u) = -u. Let k(c) = h(c) + 2*j(c). Calculate s*k(o) + 3*p(o).\nAnswer: 3*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 156, 173, 198, 231, 272?\n\"Answer: 4*c**2 + 5*c + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10654644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 57. Let h = -15 - -5. List the prime factors of d(h).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 16*r - 4*x - 1537 = 0, -x = -1. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88204.0167 rounded to the nearest 10?\nAnswer: -88200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -3*(sqrt(2)*1 - sqrt(2)) - (sqrt(2) + sqrt(2) + (sqrt(8) - sqrt(2)) + 2)) + sqrt(4)\/(sqrt(72)*2 + sqrt(72)).\nAnswer: -35*sqrt(2)\/18 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4032070942 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 5*x**7\/7 + x**3 + 9. What is the third derivative of p(y) wrt y?\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43*(-4)\/(-36) - 4\/(-18). Let t = 113 + -63. Suppose -w - w = -t. What is the greatest common divisor of w and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4945872 to the power of 1\/2, to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-6\/5)*p)\/p*p)\/(p\/(p*p**(7\/4))))\/(p**(-22)\/(p*p**(-17))) assuming p is positive.\nAnswer: p**(171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12361 + 296623\/24. Calculate the common denominator of 41\/30 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = -30 + 70. What is the third derivative of -1 + r**5 - 57*r**2 + 71*r**h + r**5 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.1093.\nAnswer: -0.05465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005002461 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 152. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26\/69 - -1\/23. Let v = -0.032 - -3.032. Let y = 17229 - 17228. Which is the nearest to -0.21? (a) y (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 < 0.071862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*b + 5*k, b + 2*k = 2*b - 8. What is the greatest common divisor of 51 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 1 + 1 - o + 3*o - 3*o + (-o - 2*o + 5*o)*(0 - 4 + 2) - 2*o - 2 + 2 + 82 - 5*o - 82 - 14*o - 7 + 7 to u*o + k and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + y - 13 = 0, -5*y = 12*h - 8*h - 1. Solve -2*m = h*k + 6, -2*k + 0*k = -4*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -8. Suppose -d + 2*d = -v. Let y(h) = 2*h**3 - 2*h**2 - 6. Let i be y(d). What is i rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 16 - -13 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) 0.33 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**3*u**2 + 5*c**3*u + 2*c**2*u**2 + 43*c*u**2 wrt c.\nAnswer: -66*c*u**2 + 30*c*u + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 51752000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 50*c + 2 + 58*c**3 + 142*c.\nAnswer: 58*c**3 + 92*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 20*k - 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 1\/6*c**3 - 1\/30*c**5 + 0 + 0*c + 1\/8*c**4 + 7*c**2. Let t(q) = q**2 - 2*q. Let s be -5 + -1*(-9)\/3. What is s*w(x) - 3*t(x)?\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 11*w = -2, 2*g + 4*w = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1280)\/(-56))\/4 - (-2)\/7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -u + 37, 0 = u + 5*m - 126 + 59. Calculate the highest common factor of 36 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 1, g: 1, j: 1, e: 1, x: 1}. What is prob of picking 1 g and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-15 + 9 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 151.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -342*d + 348*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 356a (base 16) to base 10\nAnswer: 13674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, 3, 18, 35?\n\"Answer: a**2 + 10*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - w - 58 = -56, 0 = 2*d + 2*w - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 + -243.9. Let k = 861.575 + -849. Let j = k - v. What is j rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*m - 26 = 187*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 10) to base 12.\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*h + 8, 6*h - 4*h + 4 = 3*b. Solve b*p = p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15390 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*c - 50*c + 13*c**4)*(-c + 0 + 0 + (8*c + 567 - 567)*(-2 - 5 + 5)*(4 - 4 - 3)).\nAnswer: 611*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 118. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/104 and -47\/9362080?\nAnswer: 9362080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1495, 6067, 13675, 24313, 37975, 54655?\nAnswer: 74347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = f + 7, t = 5*f - 0*t - 17. Let o be 1 + -2 - (-9)\/3. Suppose -o*m = -m - 1. Solve -v - f + m = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 30. Suppose 0 = 3*p - v - 118. Let n = 87 - p. What is the remainder when n is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/36)\/(1\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/270 and 37\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 - ((3 - 5 - -17) + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:41 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -2.3. Let d = 3.727 - 1.627. Let r = d + n. Which is the second smallest value? (a) r (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/(3\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 39*x + 2804. What is g(-72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 34*i**2 - 5*i + 19. Let y(x) = 37*x**2 - 6*x + 23. What is 8*u(s) - 7*y(s)?\nAnswer: 13*s**2 + 2*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 322568047 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 - -167. Let g(p) = 169*p**2 - 3*p - 12. Let u be g(a). What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.765 to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*x + 122 = -0*x, -3*x - 3 = 0. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/31)*v)\/v*v\/v**7*v)\/(v\/((v*v**(-3))\/v))**(2\/107) assuming v is positive.\nAnswer: v**(-13302\/3317)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64370206 and 8312.\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:40 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30438 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:07 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 17*x**2 + 5*x + 22. Determine q(-7).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239458, 239399, 239336, 239269, 239198, 239123, 239044?\nAnswer: 238961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-117)\/13689 + 21\/104\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.694719ml?\nAnswer: 0.005694719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 20302 = -19982. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - -2 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 6\/2089 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 4 - ((-765)\/10)\/(-9). Let g(v) = 2*v. Let r be g(10). Let j be -10*(-4 - (-104)\/r). Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82824\/31 + -92097653\/34472. What is the common denominator of 18\/1529 and h?\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5007016841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83 in -16\/9, 5, -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*s - 310, 5*k - 7*k - 3*s + 124 = 0. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 131 - (-10)\/(-5). Suppose -o - 16 - 60 = 0. Let r = o + a. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7bb4fd (base 16) to base 8\nAnswer: -36732375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -81902477.44 to the nearest 10000.\nAnswer: -81900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 155\/55 + (-2)\/(-11). Let h = l - -5. Let i = h + -1. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1236869 (base 10) to base 12\nAnswer: 4b7945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = g - 8, 0 = -g - 4*g - 5*i + 20. Suppose -g*u - 65 = -225. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and -1389.\nAnswer: -1388.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/(2\/(-12)). Let k be m\/10 + (-684)\/(-45). Solve k = 2*o + o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*h + 18, 0 = 3*i + 315*h - 316*h - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**4*s + 3556*f**3*s + f**2 + 2*f*s - 2*f - 1613*s wrt f?\nAnswer: -48*f**2*s + 21336*f*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-2\/7))\/v*v)**(-12\/13)\/(v\/v**(2\/13)*((v*v**(2\/25))\/v)\/v*v))**30 assuming v is positive.\nAnswer: v**(-41442\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssskk. Give prob of picking 2 s and 1 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423720 (base 10) to base 12.\nAnswer: 587ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2042345 or 2042347?\nAnswer: 2042347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 2. Let y be v(0). Suppose -x + 5*x - 16 = -y*b, -2 = -x. Let q = 0 + 5. Solve -d + 6 = 2*d + 4*h, -q*d - b = 2*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4873740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4900000 to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756608*o + 756561*o + 141 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 10*a + 21. Let b be z(-8). What are the prime factors of 43479\/45 - (-4)\/b?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/10)*o\/(o\/o**(-1\/5)*o))\/(o*o**(-2\/3)\/o)**(-45) assuming o is positive.\nAnswer: o**(-301\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2245 + 11224\/5. Suppose -2*f = 6, -5*n + 5*f + 10 = -4*n. Let p be (n\/(-3))\/(1\/(-3)). Which is the biggest value? (a) p (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -21) + 5 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 575441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + 6 + (-18)\/(-2). Let l(h) = h**2 - 8*h. Let q be l(k). Let d(i) = i + 10. Let f be d(q). Solve f*r + 4 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/169638364 and 51\/20.\nAnswer: 848191820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + sqrt(2299) + (-1 + sqrt(2299) + sqrt(2299))*-3)*-6)**2 + -3*((2*sqrt(57)\/sqrt(3))**2 + 5).\nAnswer: -9504*sqrt(19) + 1324305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*s + s + 407, -310 = 4*o + 2*s. Let d = 52 + o. Let x = 7541\/158 + -18\/79. What is the common denominator of d and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5078 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2055.4 - 2324. Let u = -269 - l. What is the third smallest value in u, -2, 12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -530, -585, -172, 715, 2082, 3935, 6280, 9123?\n\"Answer: y**3 + 228*y**2 - 746*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 37 = 3*m - 13, -5*s + 31 = -2*m. Suppose -s*o = 8 - 153. Suppose -8*v = -32 - 48. What is the remainder when o is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85884129839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*t = 14, -7*i - 14 + 10 = -11*i - 2*t + 24 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**3 + 14*g**2 + 16*g + 97. Let w(t) = -3*t**3 + 7*t**2 + 9*t + 48. Calculate 5*m(o) - 9*w(o).\nAnswer: 2*o**3 + 7*o**2 - o + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, s: 4, j: 2, f: 4}. Give prob of sequence ff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1346, 5257, 11692, 20585, 31870, 45481, 61352?\nAnswer: 79417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/15 and 37\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(1*sqrt(12)*-2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -274860\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.1 (c) -1 (d) 689.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 9*u**2 + 10*u + 56\/3.\nAnswer: -(u - 2)*(u + 1)*(u + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -2*w + 3544. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4 + 4*p**2 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3217*o + 33859 = 3224*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**7\/14 - 3*n**6 + 21*n**5\/5 + 15*n**4\/2 - 29*n**3\/2 + 2*n + 75. Determine a, given that p(a) = 0.\nAnswer: -1, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 12:13 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 2*m - 2. Let v(n) = -7*n**2 - 9*n - 12. Let b(c) = -6*i(c) + v(c). Let y = 3 + 0. Determine b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(22)\/(-1*-4*sqrt(11) + sqrt(11)))**2 - sqrt(1078)\/sqrt(11)*-4).\nAnswer: 2\/25 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*i = -7666 + 17197 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10756873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16646 + 35537\/2. Let i be (-2)\/(-6) - (-9885)\/(-9). Let l = g + i. Find the common denominator of -111\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 6. Let g be d(-6). Suppose u = 5*u - g. Solve -u*z = -6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 394, 804, 1212, 1618, 2022, 2424?\n\"Answer: -x**2 + 413*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 6. Let i(f) = 4*f - 4*f + 2*f - 8. What is the units digit of i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1608358*x**3 - 2750378*x wrt x.\nAnswer: -9650148*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 22*i - 80. Let j = -21 + i. Is -3\/16 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722743676 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 4*u**3 + u**3)*(-3*u + u + 0*u) + (-5*u + u + 2*u)*(u**3 + u - u) - u**4 + 1 - 1.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -25. Let f(l) = -2*l - 18200. Let k be f(m). What is k rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37.8 and 138.\nAnswer: 175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (234 - 203) + (-1 - 21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 = -2*l + 4*l, 5*d - 35 = -4*l. Is 3 a factor of (d + -4)\/(1\/(-11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 b when four letters picked without replacement from bbbrlabrbhblalrh.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 12*j - 17. Let y be d(-13). Which is greater: -40\/11 or y?\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1290\/65 + (-2)\/(-13). Suppose -17 = -4*m + v, v - 3 = -m - 0*m. Let k = m + 15. Is k greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*n + 259*n - 497 = 223. Calculate the highest common factor of n and 785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r + 0*r)*(5*r - r - 2*r) + (4*r - 2*r - 1 + 2)*(-64 - 76 - 508)*(-4*r + 0*r + 5*r).\nAnswer: -1294*r**2 - 648*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0 - 11*f + 14\/3*f**3 - 11\/15*f**6 + 0*f**5 + 0*f**2 + 1\/6*f**4. Find the third derivative of l(g) wrt g.\nAnswer: -528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 1\/105*l**7 + 143\/25*l**5 + 28\/75*l**6 + 0*l**2 + 2 + 135*l**3 + 42*l**4 + 206*l. What is f in q(f) = 0?\nAnswer: -9, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155304\/77 + -2017. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**2 + 0*m**4 - 1\/10*m**5 + 0*m**3 + 0 - 3*m. Let o be 1 - (1 + 0 + 3). Let y(j) = -6*j**3. What is o*y(n) + 8*w(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 99578 and 26567553.\nAnswer: 26667131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, u: 1, i: 3}. What is prob of sequence eiei?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 0*g + 11 = -2*g, 2*g = -s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 4590*f + 4631. Let n(m) = 2*m**2 + 4590*m - 4622. Let j(h) = 3*g(h) + 4*n(h). Find c such that j(c) = 0.\nAnswer: -919, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239851139*o**2 - 32*o - o**3 - 239851139*o**2.\nAnswer: -o**3 - 32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-24) - (-362)\/(-8). Let b = -31 - q. Let n(f) = 3*f - 22. Calculate the remainder when n(b) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Suppose -5*f = 16 + 39. Let o = f - -2. Let i(t) be the first derivative of -2*t**2 + 4. What is o*x(u) - 2*i(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2057523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.24772 grams to kilograms.\nAnswer: 0.06624772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473c9 (base 13) in base 8?\nAnswer: 376367","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4 and 12\/21 - 1635\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v + 8 - 698*v**2 + 35*v - 62*v - 14.\nAnswer: -698*v**2 - v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 2480\/87?\nAnswer: 2480\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75928 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2 + 2)*(19 - 11 - 12)*(4*a - 3*a + a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.5716 to one decimal place.\nAnswer: 168.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -921093153*g**3 - 13*g**2 - 4240917*g - 1 wrt g.\nAnswer: -5526558918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-7) - (15 - 1498\/98) - -22.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 5. Let d(j) = 47*j - 170. Let p be d(10). Let w = -294 + p. Let u(c) = 4. What is w*u(t) + 5*b(t)?\nAnswer: 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 4*d**2 + d + 3. Let z be u(3). Let x be (524\/40)\/(z + 69). Let m = x - 1\/60. Which is the closest to 4? (a) 0.2 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-3))\/63*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 137 (b) 1.0373 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4348 - 4352. Sort -0.59, r, -0.5.\nAnswer: r, -0.59, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157\/4 + 39. Suppose 10 = 53*o - 48*o. What is the closest to m in 0.3, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 7*r + 0*r**2 - r**2 - 6. Let v be z(-4). Calculate the common denominator of 641\/(-90) - v\/5 and -51\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25094660501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Let p(z) = z + k*z - z. Let t(r) = 2*r. Give t(p(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let f = -8 + 7.6. Which is the biggest value? (a) f (b) -6\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymymzcyymcrycmcmcr. Give prob of picking 1 r and 1 y.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 94. Let a be 407\/q - 4\/14. What is the highest common divisor of 45 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 134\/11 - 16\/88. Is (-410)\/(-2) - (v - 10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*t + 4*o, 4*o - 1125 = -1101 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-6 - -8) + -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08983*-0.0331.\nAnswer: 0.002973373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*i**3*n**2 - 8*i**3 - 478*i**2*n**2 + 373186*i**2 + 2*n**2 wrt n.\nAnswer: -188*i**3*n - 956*i**2*n + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*t**2 - 308 - 49*t**2 + 308)*(1 - 1 + 5*t) to p + k*t**3 + o*t + g*t**2 and give k.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/138553 and 127\/46068.\nAnswer: 18288996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 15*c**2 + 4*c - 28. Let z be k(15). Let d be (17\/2)\/((-8)\/z). Is d at least -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -18*h**3\/7 - 1356*h**2\/7 - 1784*h\/7 - 592\/7 = 0.\nAnswer: -74, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -127\/2. Let g be -7*(-2 - -1 - 4). Suppose p = -5*q + 30, -5*q - 4*p = -2*q - g. Which is the second biggest value? (a) q (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f - 1. Let m(p) = 2*p + 1. Calculate -3*m(y) - 4*x(y).\nAnswer: -4*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/168 and 31\/((-2790)\/(-2740))*(-9)\/(-96).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4008 and 6?\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 15*h - 25. Let g be l(-5). Let b(o) be the third derivative of -1\/6*o**3 + 0*o - o**2 + g. Let y(f) = f + 6. Give 6*b(s) + y(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -476292, -952567, -1428842, -1905117?\n\"Answer: -476275*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 16*f**3 - f**2 + 3*f - 2. What is c(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122296 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*u + 11, -3*n + 5*n + 2*u - 4 = 0. Suppose n*i - 25 = -5*q, 0 = -6*q + 3*q + 3*i - 3. Is 2 a factor of (-9)\/(-6)*4 - q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = -10*l - 5*g + 25, -g + 8 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(-2*sqrt(81)) + (1*sqrt(19)*2 - ((sqrt(19)*-1 - sqrt(19)) + 2)).\nAnswer: -2 + 23*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eer when three letters picked without replacement from eeereerrereerereee.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57831)\/888 + (-4)\/(-32) - (0 - 15).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4, 4*q - 4*i + 5*i - 66 = 0. Solve 4 = 4*r - 0*r, -4*r + q = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3110016 and 4924192?\nAnswer: 59090304","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108056 and 1748637.\nAnswer: 181858248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyt when three letters picked without replacement from nrgntyyc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.11237 * 3\nAnswer: -0.33711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o = 427*o - 9519 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590555*k + 590564*k - 306 = 0 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 2*d + 13*d**3 - 16*d - 16*d**3 as v*d**2 + l*d**3 + u*d + a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2 + 4. Let o be (0 - -2)*x\/4. Suppose 9 - 24 = -o*c. Solve 10*p = c*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 490150851 to the power of 1\/2, to the nearest integer?\nAnswer: 22139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 137 = 4*z + 339, -2*s = -2*z - 472. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:57 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 87*y**3 - y + y**2 + 124 - 124. What are the prime factors of w(1)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.7127574 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y = -17*y + 13180 - 13121 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -12. Find the second derivative of -2*c**3 - 3*c**3 + 18*c + n*c**3 + c**3 wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1678 - 1750. Let h(o) = -5*o**2 - 5*o - 7. Let a be h(-6). Let k = n - a. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 1. Give w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -574 + 534. Let s = 135 + i. What is the remainder when s is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2209, 4422, 6635, 8848, 11061, 13274?\nAnswer: 15487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 93 - 93 - z. Let y(i) = 3*i + 0*i - 4*i. Calculate k(y(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 174808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 6*b**2 + 2*b + 7. Let w be z(-6). Suppose -y + 3*y = 6. Put w, -2, y in decreasing order.\nAnswer: y, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8 - 0)\/(5\/25) + -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 77. Let k(s) = s - 2. Let w be k(5). Suppose w*o - 2*o = 0. Is p(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c**2*r*s - 507*c**2*s - 30*c**2 - 62705257*r*s wrt c.\nAnswer: 24*c*r*s - 1014*c*s - 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2 + 183949*i - 551838 = 0.\nAnswer: 3, 183946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.1 + 78. Let x = 101.7 - 97. Let w = x + -5. Which is the nearest to r? (a) 1\/4 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -12 + 8 + (2 - 9) + -1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 11780.\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -7. Let n = -1778 + 1778. Let m = 0.006 + -0.106. Which is the fourth biggest value? (a) n (b) p (c) m (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-12) - 1\/4)\/(201\/(-670)). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 826 + -374. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 238?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/24)\/(-5)*12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y - 1. Suppose 0 = 2*z + 1 - 7. Suppose 0 = n + z*n + 4. What is the tens digit of s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -39. What is the smallest common multiple of 3\/(-5) - (-66)\/a and (-2)\/(2 - 4)*18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9828 and 787696?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 112 = -4*n + 5*p, -2*n + 47 = p. Suppose -4*c = c - n. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -56) + (-404 - -379).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(357)*2)\/(sqrt(700)*2 + sqrt(700)))\/(sqrt(288)\/sqrt(6) - (sqrt(24) + sqrt(1176))\/sqrt(8)))**2.\nAnswer: 17\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.2 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002*i + 2 - 2 - 1038*i.\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3472336 is divided by 19724.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 652787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 44*r**2 + 140*r + 100.\nAnswer: 4*(r + 1)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -16. Let z = 32 - 17. Let o = j - z. What is the remainder when o is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 4*t - 1\/20*t**5 + 1\/6*t**3 + 1\/10*t**6 - 1\/4*t**4 + 0 + 0*t**2. Factor p(x).\nAnswer: x*(x - 1)*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 862.0588 centuries?\nAnswer: 86205.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - -8173?\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27302985 to the nearest integer?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 181 + 1359. Let x = 3390\/11 + k. Sort -1\/6, 3, x in descending order.\nAnswer: 3, x, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -8. Let b be w\/22 - (-96)\/44. Suppose p = b*p - 5. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 214 - 143. Suppose 0 = -2*h + d + 57. Calculate the remainder when h is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 10 = 0. Suppose -a*i = n - 83, -163 = -4*i - 0*n + n. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 10:54 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/137)*s*s*s**(-11)*(s*s**(3\/20)*s)\/(s*s**(13\/2)) assuming s is positive.\nAnswer: s**(-39359\/2740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 2 + (1 - 3) + -84 + 81.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 4*w**2 - 7*w + 5. Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(35)\/(sqrt(7) - sqrt(63)) + 6*sqrt(125))*3.\nAnswer: 12 + 177*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/13 (c) 147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000212 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - c**3 - 2079*c**2\/2 + 18954*c.\nAnswer: c*(c - 27)**2*(c + 52)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -63.217921*0.08\nAnswer: -5.05743368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256232893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s. Let j(l) = -2471*l**2 + 8472*l - 4236. Let v(g) = g**2 - 4*g + 2. Let q(y) = j(y) + 2118*v(y). Calculate u(q(n)).\nAnswer: 1412*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 1.93. Sort -0.1, 2\/3, t.\nAnswer: t, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-4)*(-96)\/56. Suppose -3*q + 4 = c, 5*c = 3*q - l - 10. Solve -1 = -w + 3*h, 3*w + h - q*h = 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = j - 4*j. Let v be (-2 + 7)*j\/5. Does 15 divide v\/(-3)*48\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*1*(-1)\/2. Suppose -2*s = -3*t - 5*s + 9, 4*s + 24 = 5*t. Suppose 4*v - h = t*h + 17, -5*h - 5 = 0. Are v and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 601158 and 132.\nAnswer: 13225476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -16, 299, 35, -4.\nAnswer: -16, -4, -3, 4, 35, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12939523 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 134*r + 83636 = -36*r. Calculate the smallest common multiple of r and 104.\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18, 1\/2, 0.3862, -3\/4, 2, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -32 + 8. Suppose 0 = -s + o - 3. Suppose 2*y = s*y - 90. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17256 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -0.3, 4, -639, -13, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*3\/(-4) - 2. Let f = -5 - -8. Let c be 4 - ((1 - 3) + f). What is the closest to 0 in w, -0.5, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2235798070992 take away -1?\nAnswer: -2235798070991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7679*n + 663. Let c(y) = -15424*y - 1326. Let x(q) = -5*c(q) - 9*k(q). Find the first derivative of x(l) wrt l.\nAnswer: 8009","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9934, 9931, 9928?\nAnswer: 9925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 - 13*s**2 - 12*s + 6. Let k(x) = 11*x**3 - 37*x**2 - 36*x + 17. Determine 17*b(y) - 6*k(y).\nAnswer: 2*y**3 + y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15623007?\nAnswer: 3, 83, 62743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5086 and 7558.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 411569 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28765850 + 8565850. What is t rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 9*h**2 + 11*h - 2. Calculate n(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1459*c + 9873. What is y(6)?\nAnswer: 1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-352)\/88 + (-7)\/((-154)\/96).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15105 * 618.\nAnswer: 9334890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 + 3946*g**2 + 24869*g - 2545. Determine c(-1309).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, w: 1, l: 1, i: 7}. Give prob of sequence wl.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*z - z + 13, -2*z + 10 = 0. Let a(b) = -6*b**2 - b - 2. Let r(x) = -24*x**2 - 4*x - 9. Determine u*r(y) + 9*a(y).\nAnswer: -6*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 83 = 32. Solve 28*r - l*r + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26 + 1 + 18 + -25. Let v be (1263\/(-15))\/(-1 - g\/(-25)). Round v to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*u - 29, -3*v - 9 = 2*u - 3. Let l(j) = j**2 + 5*j + 8. Let x be l(v). Sort 2, x, -20 in ascending order.\nAnswer: -20, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 13*q + 20. Let u be d(2). Which is bigger: 2\/21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*p + 998*p - 43666 - 12165 = 0 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 11*w**2 - 16*w + 184. Calculate g(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8994081 by -4.\nAnswer: 8994081\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 2. Suppose -4*z - z = -5. Let y(d) = -1. Determine z*f(i) + 3*y(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2933551 tonnes in grams?\nAnswer: 293355.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -34680723*q. Let w(y) = 12*y**2. What is w(f(t))?\nAnswer: 14433030573632748*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/2 - -5\/6. Let y = 3 + -66. Let i = y - -62. Which is the closest to k? (a) i (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n + 1. Let o(p) = -p**3 - 24*p**2 - 21*p + 47. Let c be o(-23). What is f(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*o + 48 = 0, -6*c - 5*o = -c - 45. Suppose -8*k - 6 = -c. Solve 5*u + 40 = -4*f, 5*f - k + 18 = 2*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 73 + 8 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 22. What is the derivative of 5*z**3 - z**3 + 0*z**3 + r + 1 wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/21*(747\/27 + -23)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3329, 2890, 2159, 1136, -179, -1786, -3685?\nAnswer: -5876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w - 295. Let f = -14 - w. Suppose k + f = 4*r, -2*r - k - 2*k = -33. Solve 0*j - r = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.4771308 + -38.477138. Let w = -13 - f. Round w to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -685*x**4\/24 - 71*x**3\/6 + x**2 - 4. Let g be w(-8). Suppose d + 4*d + 4*l = g, -2167 = -2*d - 5*l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5777402 is divided by 1877?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376752 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (5 - -1) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 657*v**3 - 94546*v**2 - 3828672*v + 8040800.\nAnswer: -(v - 2)*(v + 92)**2*(v + 475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Let c(z) = 5*z - 5. Suppose -5*v - 4*x + 161 = 0, -x = 3*v + 2*x - 99. Calculate the remainder when v is divided by c(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -25.1. Let g = m - 1. Let k = -1.9 - -2.9. Are k and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206.4 - 206.3. What is the nearest to 0 in 2, r, 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 2:13 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 234*d - 163*d - 355 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = n - 5, -4*w = 3*n + 2. Let x(m) = 3*m**2 + m - 1. What are the prime factors of x(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25256, 25220, 25124, 24938, 24632?\n\"Answer: -5*i**3 - i + 25262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 6 = -22*l - 2*a, -5*l - a + 11 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10420)\/(-100) + 8\/10 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/18)\/(2\/9). Let h = 82040389\/279 + -294051. Let t = h + -4\/31. Which is the third biggest value? (a) g (b) 0 (c) 1\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2*p - 20 = 0, 277 = -6*s - 2*p + 307 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z. Let t(d) be the second derivative of -d**6\/360 - d**4\/6 - d. Let n(r) be the third derivative of t(r). What is u(n(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*77\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.15472585184+-0.015\nAnswer: 0.13972585184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 3. Let t(g) = -9*g - 5. Let y be 19\/(-3) + (-10)\/15. Let w(x) = y*h(x) + 3*t(x). Determine w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/14 and 63\/4723856?\nAnswer: 33066992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 26. List the prime factors of (44\/14)\/((-1)\/c).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.4 (b) -4 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, k: 1, p: 1, j: 1, u: 1, e: 2}. What is prob of sequence kjcp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*l = 4, 4*w - 5*l - 50 = -w. Differentiate 5 + 12*o - 50*o**4 - w*o + 0*o wrt o.\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(500) - sqrt(500))**2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 9*o + 5. Let s be d(3). Let y = 45 - s. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 15 = 3*d, -3*d = -l + 21. Let o = 32 + -16. Let m = o - 10. What is the greatest common factor of l and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2 + 3 - 1 - 2*d. Let t(c) = c**3 + 2*c - 1. Suppose 3*w = -5*f - 19, 13*f - 16*f - 23 = -4*w. Give w*t(g) + 3*b(g).\nAnswer: 2*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.715 + 2.32. Let n = t - 41.005. Round n to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 2. Let t be c(2). Let j be (-21)\/7 - (t - 5). Solve j = -u + 5*p - 17, -3*u + 4 + 17 = 3*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32265 is divided by 876.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/3774 and 52\/2553.\nAnswer: 86802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 173 - -277. Suppose -55*v + 40*v = y. Is v equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 13 - 13)*(-5 + 3 + 4) + 2 - 2 - 4*r + (2*r + 0*r - 4*r)*(1 + 6 - 3).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66494 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 12*r - 11*r - 13*r + 48*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 7*h + 2*o - 203, -4*h + 3*o + 167 = 0. What is the remainder when h is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025693 is divided by 1025685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3 + 10\/(1 - -1)). Suppose 3*p + 185985 = x - 6*x, -5*x = -j*p - 124015. What is p rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 39 = 33*i + 19*i. Sort -1, i, -1139 in ascending order.\nAnswer: -1139, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h + 4*h - 4*h + 4*h - 37*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11208 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 + -4)) + (16 - 27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af5d - -1?\nAnswer: af5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 654364 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/15 - 4*m\/3 + 6\/5 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - w - 9. Let f be t(3). Let k(c) = c**3 + 4*c**2 + 4. Determine k(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32353893*r**2 - 37049*r - 59 wrt r.\nAnswer: -64707786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 7*a + 102. Does 4 divide r(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -373 - -1752. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c0 + 104?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 4*o**2 - 4. Let x be (-2)\/(-10) - 58\/(-10). What is the remainder when x\/42 + (-194)\/(-14) is divided by k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3304 and -87\/164374?\nAnswer: 657496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16281)\/1005 - (-1 - 15)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, p + u - 16 = -u. Suppose p*h = -26*h + 168. Is -49 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 + 393. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2146932 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*n = 114811, 2*w - 4*w - 3*n = 45932. Let y = -104963 - w. Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 641 + 183 = 0. Let h = i - 723\/7. Put 2, h, 0, -0.2 in increasing order.\nAnswer: h, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5496*l*w**3 - l*w - 2*l + 27*w - 42 wrt w?\nAnswer: -32976*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -95. Let v = 3 + d. Solve -4*b + 10 = -2*n, -6 = v*n + 5*b - 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2535, -5072, -7607, -10140?\nAnswer: -12671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 275, 272, 267, 260, 251, 240?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**5\/20 + g**3\/2 - g**2\/2 + 2*g. Suppose -4 = -h - h. Calculate u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592672 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: Simplify (-5*(sqrt(363) + 3))**2.\nAnswer: 1650*sqrt(3) + 9300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 3, -0.3, 11, -0.39?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1133212, 1133647, 1134082, 1134517, 1134952, 1135387?\nAnswer: 1135822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + -2.39. Let p = s - -0.4. Let u = 1.8 + p. Which is greater: -1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726116*g = -726027*g + 3382 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/12 + 5*n**3\/2 + 25*n**2 - 22*n. List the prime factors of w(-20).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = 5*i. Let w(a) = -2*a - 2. Let r be w(i). Suppose -3*z - 1 = -r*j + 9, 2*z + 7 = 3*j. What is the third biggest value in -3\/7, -1\/6, j?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589391827.\nAnswer: 467, 1262081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-54))\/((-4)\/(-8)))\/((-24)\/(-27))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39 + 15995\/(-315) + 0 + 12. Factor 0*l**2 + d*l**4 - 2\/9 + 4\/9*l - 4\/9*l**3.\nAnswer: 2*(l - 1)**3*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/2 in 1, 0.4, -3, -1, 0.69, -20\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/30 - 2*x**4\/9 + x**3\/3 - 1026*x + 2. Let s(r) = 0. What is r?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - 3. Let p = u + 0.2. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a - 5a?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382\/165 - -24\/55. Calculate the common denominator of u and 73\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 2 - 6 + 3*o**2 - 3*o. Suppose 2*l + 0*l = 5*u - 23, -12 = 3*l - 3*u. Let f(c) = -c**2 + c. What is l*v(r) + 2*f(r)?\nAnswer: r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n - 1 + 24*n - 59*n + 1.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8244 (base 15) to base 6.\nAnswer: -331214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -194, -448, -814, -1298, -1906, -2644, -3518?\n\"Answer: -n**3 - 47*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-6)*8*19\/418*33.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -155294*p**2\/9 + 730*p\/9 = 0. What is p?\nAnswer: 0, 365\/77647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4542 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 158 - 738. What is the hundreds digit of 7\/21*3*(1 + d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(4212).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 273*a - 278*a + 41, 4*m - 20 = -2*a. Let z = 9\/8 + -697\/648. Is z at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1025)\/255 + (-20977)\/(-5721).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = -g - 13801, 0 = -4*g + 2*k - 55276. Let h = g - -20717. What is h rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*210.2.\nAnswer: 6726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8414 rounded to 2 decimal places?\nAnswer: -8.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 169\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5*p + 1. Let n be o(-4). Suppose 8 = -2*c - 4*f, -f = 5*c - 10*c - 20. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v - 120 = 0. Suppose -4*p = -0*r - 2*r, -36 = -2*r - 5*p. Calculate the highest common factor of r and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 759830 (base 12) to base 4\nAnswer: 13012221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + (-6 - 70\/(-10)). What is the second smallest value in b, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -4, -7, 23, 0, -1 in increasing order.\nAnswer: -18, -7, -4, -1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 130. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 6107, -0.4, 1?\nAnswer: 6107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. Let b(x) be the first derivative of n + 9*x + x**2 - 2*x - 4*x. Calculate b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = 2*m. Let u(y) = 4*y - 18. Let p be u(8). Calculate the highest common factor of p and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a3 + a?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 0.2 (b) -103 (c) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 1. What is w(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzpe. What is prob of sequence mpz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 12, -3*b = 7*p - 6*p - 5. Let w(j) = j**2 + 5*j + 1. Let y be w(-6). Suppose n + y = 4. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + 16. What is the second derivative of -5*i - 3*i**2 + l*i - 3*i + 3*i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u = 25. Sort -2, 4, -5, u.\nAnswer: -5, -2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/12*(-4)\/30. Let q = -119 + 123. Which is the closest to v? (a) -0.4 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:53 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-11 + 16 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 19620*y + 39232.\nAnswer: 2*(y + 2)*(y + 9808)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1072, -1060, -1034, -988, -916, -812, -670?\n\"Answer: k**3 + k**2 + 2*k - 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 10. Let i be 0 - ((-6)\/(-7))\/o. Let p be (1 + 2)\/(18\/4). Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3741.\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -215846, -216733, -217620, -218507?\n\"Answer: -887*s - 214959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1222047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Suppose 3*z - 4*v - 9 = 0, 3*z + i*v - 5 = 4. Suppose g - 100 = -z*g. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2733 - 2733 - 70*s - 2*s - 2*s + 2*s + (-s - 3*s + 3*s)*(-1 - 2 + 5) as d*s + m and give d.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35197\/2 - -17600. Sort k, -8\/33, 4\/3, 0.2.\nAnswer: -8\/33, 0.2, 4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 785034853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:34 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*16047.\nAnswer: -80235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 2. Suppose 0 = 4*z - 49 + i. Let h = 12 - -23. What is the remainder when h is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -4, -5 in decreasing order.\nAnswer: 1.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736935 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*4)**2 + 4 + sqrt(19) + 0 + (-1*sqrt(171)*-3)\/sqrt(9) + 4.\nAnswer: 4*sqrt(19) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 5*k + 8. Let d be i(6). Suppose s - 2*s = -d. List the prime factors of 4\/(-4) + 32\/s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -896, -1169, -1910, -3353, -5732?\n\"Answer: -39*r**3 - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*r = -536*r - 3750 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l = d + 1920, -16 = 4*l. Which is bigger: d or -1913?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -64, -70, -64, -52, -40, -34, -40?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42149.\nAnswer: 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7305\/22 - 332. What is the biggest value in m, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1539) + 2 + sqrt(1539) + sqrt(1539) + sqrt(1539) + ((sqrt(1539) - sqrt(1539)*-2)*2)**2.\nAnswer: 36*sqrt(19) + 55409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 4*u + 6. Let n be (120\/32)\/(-2 - 86\/(-40)). Suppose 11 = -2*s + n. Calculate the remainder when y(s) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -4, -3, -138, -766 in ascending order.\nAnswer: -766, -138, -40, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.31? (a) 1 (b) -5 (c) 26\/5 (d) -3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23041.42 + 407.42. Let y = q + 22670.0278. Let d = -36 + y. What is d rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000771405 rounded to 7 decimal places?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949880045 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*i - 16 = -5*b, -8 = 4*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 5. Let l(m) = -2*m**2 - 18*m + 15. Let q be l(-10). Let z(u) = -3*u + 8. Calculate q*z(a) - 7*v(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 16275420.\nAnswer: 97652520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27837 is divided by 1706?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -876335, -876348, -876367, -876392, -876423?\nAnswer: -876460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-4)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 3) + 1*3. Suppose 57*j = 64*j - 84. What is the smallest common multiple of j and (1 + 1)\/(b\/14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 32 - 16 - ((-33 - -3) + 3)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 4, 5 in increasing order.\nAnswer: 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h + 1\/2*h**2 - 2 + 0*h**3 - 1\/4*h**4. Let p be a(-2). Solve 0 = -2*s + p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(0 - -4). Let p be (4 - c)\/(8\/16). Let m(t) = 4*t**2 + 4*t - 5. Is m(p) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 44, 62, 76?\n\"Answer: -2*r**2 + 28*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -197, -188, -179, -170, -161?\n\"Answer: 9*m - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8158 or -8151?\nAnswer: -8158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 16*k**3 + 7*k**3 + 9*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -111*t**3 - 88*t**2 + 13*t - 8. Let f(q) = -73*q**3 - 55*q**2 + 8*q - 5. Let a(z) = 8*f(z) - 5*x(z). Determine a(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 19. Suppose -4*w + k - 8 = 0. What is the second derivative of -2*c + 2*c + w*c + c - 3*c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqa when four letters picked without replacement from {a: 6, b: 1, q: 8}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*k - 206 + 32. Let z(t) be the first derivative of k + 488*t**3 + 125\/2*t**6 + 216*t**2 + 48*t + 315*t**5 + 570*t**4. Factor z(d).\nAnswer: 3*(d + 1)*(d + 2)*(5*d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661884 divided by 27?\nAnswer: -220628\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11630726.\nAnswer: 2, 43, 135241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**4\/5 + 3*g**3 + 36*g**2\/5 - 48*g + 192\/5 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -16. Let c(h) = -6 + 6*h + 7*h - 2*h - 12*h. Let g be c(t). Solve g = i - 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (2 - (0 + 23)). Suppose 7*h - r - 4 = 0. Suppose -3*b + 30 = 5*d, 4*d + 2*b - 26 = -h. Solve 1 = -q + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 324922875 + 1?\nAnswer: 324922876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.061 + 0.002. Let c = g - 1.693. Let q = 1.8 + c. What is q rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waaw. Give prob of picking 1 a and 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, -0.2, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6183 and 16259?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 51*r**2 - 379*r + 25. What is i(-42)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 = 5*y, -2*y = -0*b + b - 44. Does 18 divide (-8 + 3)*b\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (45 - (17 - -14 - 9)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*q**4 - 88*q**2 - 89*q**2 + 177*q**2)*(-2*q + 6*q - q).\nAnswer: 156*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/6 - 2483*w**4\/2 - 133831*w**3\/6 - 180857*w**2\/2 - 401300*w\/3 - 64402 = 0. Calculate w.\nAnswer: -7431, -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 36247219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14870 - -14933. Let y be (3*3)\/(10\/560). Calculate the greatest common factor of y and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 213\/(-426) + (-5)\/(-2). Solve 4*r = -4*d - 20, 1 = 5*r + k*d + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11504105.\nAnswer: 5, 107, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/2 + 31*x**4\/2 + 593*x**3\/2 - 91*x**2\/2 - 16954*x - 60368.\nAnswer: -(x - 44)*(x - 8)*(x + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) -21 (c) 16.6 (d) -0.2 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85))\/sqrt(5) - (sqrt(1088)*-1 + sqrt(1088)))*3*-2.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2779, 2933, 3191, 3553, 4019, 4589?\n\"Answer: 52*a**2 - 2*a + 2729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 406*-0.049191\nAnswer: -19.971546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/13 or 120906?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let d(w) = 4*w + 8. Determine -2*d(q) + 14*k(q).\nAnswer: 6*q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -24546?\nAnswer: -24554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 10. Let h be c(-8). Let g be (3 - (-7)\/(-2))*h. Let j(r) = 6*r**2 - 3*r + 4. Is j(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b + 53*b + 4 = -2*i, -2*i = -3*b + 4. Let n = -2 - -6. Sort -65, n, i in decreasing order.\nAnswer: n, i, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 27*p - 40*p - 50*p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30544793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*j**2 - 481*j + 481*j.\nAnswer: -329*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38190, 38175, 38160, 38145, 38130, 38115?\n\"Answer: -15*j + 38205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32 + -33 - (2 - 530)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8226, 8163, 8100, 8037?\n\"Answer: -63*z + 8289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from idamaeeddaafamdad.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1572 - -1575. Solve -4*a + 7*a + 6 = -d*p, -5*a = 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**4))\/s**(3\/2))\/(s**(-2)*s*s*s**(-2\/5)))**(19\/6) assuming s is positive.\nAnswer: s**(551\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**3*v - 2*u**2*v + 109*u - 2926*v - 3 with respect to u.\nAnswer: -6*u**2*v - 4*u*v + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/8 and 1\/4592028.\nAnswer: 9184056","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -125 and 32?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009583276 rounded to 7 decimal places?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 778221.9000338 - 778222. Let c = -0.1 - y. What is c rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - g + 154, 0 = 6*p - 3*p - 3*g - 123. Suppose -580 = -5*f - 4*j, 44*f + 3*j = p*f + 575. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -14*v**3 - 12*v + 8. Let l(k) = 9*k**3 + 8*k - 5. Let a(i) = -8*l(i) - 5*w(i). Find the second derivative of a(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944) + sqrt(54))\/sqrt(2))\/(-3*sqrt(36) + sqrt(9)).\nAnswer: -7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 438877267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -3.0995 (c) -208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 301\/4. Let k = -1\/4 + g. What is the closest to -1\/4 in k, -2\/11, -0.02?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {j: 4, a: 7, d: 5}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-2 + 4 - 3)*(0*c - 13*c + 20*c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)\/s)**(-5\/3)\/(s**8\/(s\/s**(-21))) assuming s is positive.\nAnswer: s**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3239, 3, 4, 0, 2 in increasing order.\nAnswer: -3239, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6719 + -0.4.\nAnswer: 6718.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)*g*g**15*g*g*(g*g\/(g\/(g\/g**(-7\/2))))**(3\/8) assuming g is positive.\nAnswer: g**(289\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000246556 rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + 400. Suppose 5*b = -x + y, 8*b - 3*b + 3*x - 534 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20201 + -110121201110?\nAnswer: -110121222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goggggog. Give prob of sequence ogg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/4 + 7*f**3\/6 + 7*f**2 + 9*f. Let h be c(7). Suppose 3*i - 39 = h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x + 52. Let h be k(8). Let q be ((-108)\/h - 5)\/((-2)\/(-10)). Suppose 104 = q*j + 20. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwgwhhkblhb. Give prob of picking 1 g, 1 h, and 1 b.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 222*g**2 + 419*g - 132. What is s(109)?\nAnswer: -1985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -26, -61, -110, -173, -250, -341?\n\"Answer: -7*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1107*o**4 + 6621*o**3 + 2*o**2 - 112421*o - 15.\nAnswer: 13284*o**2 + 39726*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -5, 5, -1, 0.4, -16570?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -691, 1, -5, 6 in decreasing order.\nAnswer: 6, 1, 0, -3, -5, -691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 20*c - 89. Let h be a(-7). What is the hundreds digit of (h - (6 + -12)) + 466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 30 = -3*d, -3*d + 0*d = -3*m - 24. Suppose n + 39 = 4*n. Suppose 4*u - 36 = -4*h, 3*u - n = -4*h + 18. Put h, d, -2 in decreasing order.\nAnswer: d, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 600. Let q = 706 - v. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47654 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 2*o**3 + 6*o**3 - 8*o**3 - 2*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {b: 9, o: 7, y: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 1, c: 2, j: 2, x: 7, k: 3}. What is prob of picking 1 d and 1 c?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994851071?\nAnswer: 127, 7833473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/(-3))\/((-4)\/(-6)). Suppose 6*a - 2*a + d = 0. What is the third smallest value in 2, 1\/2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 839\/1043 + -56\/149. Suppose 0 - x*v**2 - 9\/7*v = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20004 (base 14) to base 9\nAnswer: 126353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5652 + 4?\nAnswer: -5646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.0736633 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823531 is divided by 22870.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 77 - 5. What is the greatest common divisor of k and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7637051.\nAnswer: 271, 28181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87614108 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15*g**3 - 2*g**2 + 3*g + 7. Let h be f(-3). Calculate the greatest common divisor of h and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404014704.\nAnswer: 2, 3, 73, 115301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 8:11 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -318976 + 4?\nAnswer: -318972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2582140289?\nAnswer: 2582140289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60940)\/4432 + (-18)\/8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000207745 to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5955 + -148873\/25. What is the closest to 0.02 in f, -5, -2, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8113?\nAnswer: 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13202 + 20031?\nAnswer: 33233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195199 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 91 + 97 + 98 + 8735*l - 286. Let b(m) = m**2. Give b(g(i)).\nAnswer: 76300225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -396, -1472, -3588, -7092, -12332, -19656, -29412?\n\"Answer: -58*h**3 + 2*h**2 + 16*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (5 - (-19 - 2 - 5)). Suppose q = -27*i + 7323. What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - 0 - 312970\/(-12887).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 48. Let t = 27 - z. Solve -3*w + 1 = -t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 1 - j - 6 + 3 + j**3 - 3*j**2. What is the least common multiple of 12 and w(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(3\/2))\/(f*f\/f**(2\/11)))\/(f**(-1\/4))**3)\/(((f\/(f**(-1\/2)*f))\/f)\/f**(1\/4)*(f*f*f**(-1))\/(f\/f**1*f)) assuming f is positive.\nAnswer: f**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3074.676ml?\nAnswer: 3.074676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373433794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(-21)*321\/(-10) and 47\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1032)\/(-14))\/(-12) + 6. What is the nearest to 0 in x, -1\/3, -21, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -1708\/9. Let v = -27 + 30.1. Let a = v + -0.1. Put 5, a, r in increasing order.\nAnswer: r, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*d**2*r**4 + 182*d**2*r**3 + d**2*r**2 + 2876528*d**2*r - 5*d*r**2 + 884*r**3 wrt r?\nAnswer: 1152*d**2*r + 1092*d**2 + 5304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*(sqrt(95) - -1*sqrt(95)) + sqrt(95))*-3)\/(6*(2*sqrt(405) - sqrt(405)) + sqrt(405) + 5*(sqrt(405) + sqrt(405)*-1)).\nAnswer: 44*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*a + 196*a + 3720 = 0. What are the prime factors of a?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 8 = 0. Calculate the remainder when 285\/21 - 4\/7 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1 + sqrt(80) + sqrt(80))*-3 - -1*(5 + 0 + sqrt(80)))*-2)**2.\nAnswer: -800*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3777 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-14 + 12 + 16)*(2*l**4 - 4*l + 4*l) - 5*l**4 + 9*l**4 + 3*l**4.\nAnswer: -21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k**2 + k. Let i(g) = -4*g**3 - 3*g**2 - 9*g - 1. Calculate -2*i(y) - 6*q(y).\nAnswer: 2*y**3 + 12*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-7 + 3 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1)\/((-7)\/35). Let u(b) = -15*b - 15. Let j(m) = -7*m - 7. Let h(v) = -13*j(v) + 6*u(v). Is 5 a factor of h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 1, -8, -1 in ascending order.\nAnswer: -8, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/20*(-16)\/6. Let z be w - (-117)\/15 - (2 - 1). Find c such that -2\/5*c - z + 2\/5*c**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/12 + s**3 + 3*s**2\/2 - s. Suppose 2*x - 3*p = x - 15, -4*x + 10 = 2*p. Let m = x + -4. Determine l(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6.88. Let h = 0.38 + r. Let v = -0.4 + h. Which is the nearest to v? (a) 0.1 (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -716a79 + 10?\nAnswer: -716a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 2*m + 18*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105\/10*16\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 + 3*h**2\/4 - 165*h\/2.\nAnswer: 3*h*(h - 10)*(h + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-20)*(-8885)\/(-7108)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 5 + 5)*(-100*d + 66 - 66).\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*t = 3*i + 20, 5*i - 2*t - 50 = 0. Suppose -m = 4*n - i, 3*n = -2*n. Let h = 33 - m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ognconndn. What is prob of sequence gdc?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 28. Calculate t(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/7)\/(x**(-1)*x) assuming x is positive.\nAnswer: x**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/81*(-1754 - -1763)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(-1*sqrt(864)*-3 + sqrt(864)))\/(-5*(sqrt(200) + 1*sqrt(200))*1))**2.\nAnswer: 62208\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 2b6?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k + 1, -13 = -5*z - k. What is the second derivative of 0*i**2 - 3*i + 4*i**2 - 2*i**z - 4*i**2 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a - 2*a + 5*a)*(-2*a + 5 - 5) - a**2 + 3*a**2 - 4*a**2 + (a**2 + 2 - 2)*(-1 + 5 - 3) + (0 - 1 + 3)*(-3*a + 3*a + 15*a**2))*(0*a**2 - 3*a**2 + a**2).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 3)*(-s + s - 2*s).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*v + 3 = 3*v, 2*j - v - 5 = 0. Let u be 4\/j + 0 + 0. Suppose -5*l - u*q + 24 = 3, l = q. What is the smallest common multiple of l and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -40 (b) 3\/2 (c) 0 (d) -3 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111110 (base 4) to base 16.\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -76?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + x**2 + 0*x**2 - 2*x**2 + x**2 - x**2 - x**2 + 1 - 1 + (-1 + 0 - 1)*(-2*x**2 + 6*x**2 - 2*x**2).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2762 - 2676.963. Let f = 1979 + -1894. Let m = f - b. What is m rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137361869 is divided by 4771.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1 - 8*v**2 + 17*v**2 - 10*v**2 + 6 + 7*v. What is t(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291970.\nAnswer: 2, 5, 7, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, j: 7, p: 1, d: 5}. What is prob of picking 1 n and 1 p?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8541, 10255, 11861, 13305, 14533, 15491, 16125?\n\"Answer: -9*m**3 + 1777*m + 6773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from mmmmmommommmmom?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f - 11*f - f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10931849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) 12 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.8593 * -1\nAnswer: -0.8593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782*b - 251*b - 275*b - 256*b + 8*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64685 is divided by 63?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 15*k**2 + 19*k - 17. Let a = 44 + -30. List the prime factors of m(a).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1747143 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*-3*(sqrt(132) + 2*sqrt(132)))\/(2*sqrt(12)*1 + ((sqrt(972) - sqrt(972)*1) + sqrt(972) - sqrt(972)) + sqrt(972))*2)**2.\nAnswer: 1296\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -21a8ab?\nAnswer: 21a89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2063983, 4127946, 6191909?\n\"Answer: 2063963*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51846258 is divided by 8641040?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -39.27. Let u = -9.13 - k. Round u to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 115*g**2 - 43*g + 409. Is y(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212687224 to the power of 1\/2, to the nearest integer?\nAnswer: 14584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1081558 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163867*a**6 + 54705*a**2 wrt a?\nAnswer: 19664040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142092.\nAnswer: 2, 3, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a factor of 68910702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60, 113, 162, 207, 248, 285, 318?\n\"Answer: -2*a**2 + 59*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5916 or 11831\/2?\nAnswer: 11831\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 - 1.23. Suppose 3 = o - 2*h - 0*h, h = 5*o - 24. Let i be o\/4*(-6)\/(-45). Which is the third smallest value? (a) -1\/7 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvve when four letters picked without replacement from vevveef?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 21 = 11. What is the greatest common factor of n and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -66 (b) -0.4 (c) 2 (d) -1\/6 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in decades?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v + 7 + 2 - 4 - 2*v**3 + v. Let k(t) = -2 - 2*t + 0*t**3 + 2*t**3 - t**3. Give 2*i(s) + 5*k(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)\/b)**48*b**0\/(b\/(((b**(-3\/7)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-1039\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(931) + 2 + (-1 + sqrt(304))**2.\nAnswer: -22*sqrt(19) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 7. Let s(v) = -1. Let m(b) = b + 11. Let a be m(-14). Let j(h) = a*s(h) + i(h). What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-32)*4*0. Let u(h) = -h**3 + 3*h**2 + h - 1. Let x be u(3). Let r = z + x. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = -21. Which is greater: 11\/3 or q?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)\/(l*l**(-3\/7)*l*l))\/(l**(4\/7)\/(l*l\/(l\/l**(-2\/7)*l))) assuming l is positive.\nAnswer: l**(-75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 405339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5277642785 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 88*g - 505. What is d(-7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)\/c**14)\/(c**(-2))**(-22))**(-1\/7) assuming c is positive.\nAnswer: c**(404\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17685756*x**2 - 25546685.\nAnswer: 35371512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13370245.8 rounded to the nearest 10000?\nAnswer: 13370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 1 - 4)*(1 - 1 - y)*(7*y + 2*y - 2*y + (-1 + 1 + y)*(-1 + 0 + 0)) to a + o*y + q*y**2 and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53662*i**2 - 107537*i**2 + 1 + 1 + 54001*i**2.\nAnswer: 126*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*n**2*v**2 + 3*a**3*n*v**2 + 21*a*n**2*v + 2*a*n*v**2 - v**2 wrt a.\nAnswer: -18*a*n**2*v**2 + 18*a*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(13) + sqrt(13))*-1.\nAnswer: -2*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3571582 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -2*l, 3*l + l = -u + 17. What is n in 6\/11*n**l + 2\/11*n**4 + 0 + 0*n**2 - 8\/11*n = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 728 and 14.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3717)\/(-4543)*1\/(-3).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*-1*7\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1300433 by 3.\nAnswer: -1300433\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 18*d**2 - 19*d - 10. Calculate i(17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*o + 2615 - 9113, z - 5*o - 1260 = 0. Sort z, -2, -5, 4 in decreasing order.\nAnswer: z, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 o when three letters picked without replacement from {u: 3, x: 4, o: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 20*p - 16*p. Suppose -2*i = -4*j - 1354, 3*i + 9*j - p*j = 2022. What is the highest common divisor of 25 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 2, x: 2}. Give prob of sequence brxr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1441, -46, -230\/7?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -4 (b) -0.4 (c) 27.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786872583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41168 + -476587034.\nAnswer: -476545866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1\/3, 0.246, -3, -2\/5 in ascending order.\nAnswer: -3, -2\/5, -1\/3, 1\/5, 0.246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5100)*4)\/(sqrt(108) + (sqrt(108) - sqrt(108)*4) + sqrt(108)).\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*i = 14, -20 = -5*d - 2*i + 7*i. Does 12 divide (-24)\/(d\/(-15)*(-20)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/105*5)\/(3\/9)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12 = 4*u. Which is the smallest value? (a) u (b) 4 (c) -4 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684 and 54990294?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 8*b**2 - 7*b + 12. Let w be o(-9). Let i be (-4)\/(-6) - 8\/w. Suppose f - i*f = -8. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3433223 (base 5) in base 12?\nAnswer: -2b848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -876, 87979.\nAnswer: -876, -1, 87979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/33*(-39)\/(-2). Suppose 22*v + g = 9877. What are the prime factors of v?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 151530498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5\/6 (b) 20 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 390 or 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, -0.05, 13.8 in ascending order.\nAnswer: -1.6, -0.05, 13.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 311*d + 22930. Give r(-187).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/6)*v)\/v**(2\/17))\/(v**(-15)*v\/(v*v**(3\/2)*v)) assuming v is positive.\nAnswer: v**(997\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 less than 853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-312)\/(-1170))*(-4)\/42\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-245)\/(-56) - 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.0212 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and -25\/85518.\nAnswer: 85518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/19, -22\/17, 8\/3, -0.08 in decreasing order.\nAnswer: 8\/3, 0.4, 2\/19, -0.08, -22\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70244597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 43, 1\/1001, 34, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*n + 10, -5*k + n + 14 = 48. Is (-40)\/(-6) - k\/(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6441, -25741, -57895, -102903?\n\"Answer: -6427*s**2 - 19*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -274, -641, -1174, -1885, -2786?\nAnswer: -3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 19 - 13 = 0. Suppose -5*f - 2*w + 22 = -4, 0 = 5*f - 4*w - 38. Calculate the greatest common divisor of j and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*f**5 - 11*f**5 + 29*f**5 - f**5 - 3*f**5 + 2*f**5 + (-3*f**2 + 0*f**2 - 6*f**2)*(0*f - f**3 + 0*f).\nAnswer: 69*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s - 3. Let a be o(-2). Let m(l) = 2*l + 4. Let n be m(-2). Suppose -g + 2*x = -10, 4*x + 1 + 15 = n. Solve 0 = -g*y - 3 + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162*c + 537*c + 1779*c)*(3*c - 3*c - c).\nAnswer: -2154*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1405 (c) 6.3 (d) 3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1310\/(-165) + 7 + (260\/66 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1598067 or 1?\nAnswer: -2\/1598067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3275.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -0.135?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3 - -6)) + 7 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let b = 3 - 1. Let j(r) = 4*r**b + 3*r**2 - 2*r**2 - 4*r**2. Give t(j(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 401 = -5*w. Let f be 127\/8 - (-7)\/w. Calculate the greatest common divisor of f and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 71. Is 2 a factor of ((-2)\/(-4))\/(3\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55903 is divided by 216.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 23*s - 37. Let t be h(21). Solve 0 = t*a - 3*m + m + 14, 0 = -2*a - 5*m + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 5*r + 9. Let c be n(-8). Let v be (-10)\/c + (-13)\/(-3). What is the second derivative of v*p**4 - 5*p - 3*p**4 + 14*p wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)*z*z**8)\/((z*z**(3\/5))\/z*z**(-7\/5)\/z) assuming z is positive.\nAnswer: z**(692\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 89*v**2 + 2*v. Let p be i(-1). Suppose 4*n - n - p = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 + 3*u - 2. What is c(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 9425, -2, 4, -0.2, -4?\nAnswer: 9425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 25 = -3*s, -2*m = 2*s - 22. Suppose -a + 5*a - m = 0. Suppose l = x + 8, 2*l = -2*x + 3*x + 12. What is the smallest common multiple of l and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 14471986\/(-18) + (-2)\/(-9). Round k to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -30*b**2 - 4653*b - 393. Calculate j(-156).\nAnswer: -4605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = m - 3*m - 4*x, -5*x - 86 = m. Which is smaller: -80 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -37*m - 14. Is z(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5349 and -203.\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**3\/7 - 53448*c**2\/7 - 213744*c\/7 = 0.\nAnswer: -17812, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -464 - -17620?\nAnswer: 171ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c6216 (base 13) to base 12.\nAnswer: -2b1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -22*z**3 - 11. Suppose 6*g = i + 7*g - 7, -i + 27 = -4*g. Let f(d) = d**3 - 1. Give i*f(u) - k(u).\nAnswer: 33*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 1. Let p(z) = -z**2 - 15*z + 79. Let o be p(5). Let v(b) = -b**2 - 22*b - 23. Let k be v(o). Give i(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*m - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**4*w**2 + 18*h**3*w**3 + 10*h*w**3 + 4*w**3 wrt h?\nAnswer: 72*h**2*w**2 + 108*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 34*c**3 + 3*c**2 - 6*c + 3. Is y(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f - 24. Let q = 10 + f. Let k(r) = -r**2 - 6*r - 5. Let y be k(-5). Solve 0 = q*w - 8 - y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78077057 rounded to two dps?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:36 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -19510, 3\/8 in decreasing order.\nAnswer: 3\/8, -4\/3, -19510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1623*j - 1626*j - 3*f + 6 = 0, 4*j = 4*f + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 3*q**2 + 2*q - 3. Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 161 in increasing order.\nAnswer: -5, 1, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1339 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23689 - 23688.9922196. What is o rounded to four decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71\/4 - 65\/4. Let v = -0.01 - -0.01. What is the closest to v in y, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/3 + (15 - 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 + 46 = 4*w, -3*w + 2*s + 36 = 0. Factor 0*g + 2914*g**3 - 4 - 16*g**2 - w*g - 2920*g**3.\nAnswer: -2*(g + 1)**2*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1313, -1288, -1263, -1238, -1213, -1188?\n\"Answer: 25*y - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*h**2*n**3 - 12*h**2 - 11*n**3 + 5*n wrt h.\nAnswer: -14*h*n**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8969*n**3 - 3*n**2 + 9*n + 44. Is z(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 60 - 15*m - 32*m to the form r*m + y and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2.6, -8\/3, 0.3, 1\/6, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 148a - 27742?\nAnswer: -26263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 8401, -4, 0.411?\nAnswer: 0.411","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19\/19*1564\/1184 - ((-1980)\/(-333) - 6)\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - s = i - 2489, -4*s = 3*i - 1507. Let n = -269 + i. Factor -615*x**2 - 12 + n*x - 833*x**2 + 365*x**2.\nAnswer: -3*(19*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220311130 (base 4) to base 3.\nAnswer: -22111102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 + 157*j - 14. Let c be y(12). What is the nearest to c in 3, -1\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 17 = 3*s, -3*q + 9 = 15*s - 12*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 c when four letters picked without replacement from hhwyykkhhchcwkh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 10*b**3\/11 + 20874*b**2\/11 + 29192*b\/11 - 25032\/11 = 0.\nAnswer: -2086, -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 2*s + 5. Let h be u(-4). Let i be 0\/((h + 1)\/2). Let m = 10 + i. Solve -3*v + 3*w + 15 = 0, -5*v = -v + w - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/7 - 44*x**3\/7 - 32*x**2\/7 + 204*x\/7 - 18 = 0. Calculate x.\nAnswer: -21, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*p - p + 12*p)*(-3 + 3 + 1)*(-1 + 0 + 3)*(-3*p - 2*p + 2*p)*(-11*p + 10*p + 9*p) to the form i*p**3 + f + j*p + m*p**2 and give i.\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 56*q**2 + 169*q + 452. What is z(59)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21534 (base 6) to base 12\nAnswer: 18aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4920 + 4920. Solve -6*o - 174 + 144 = u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 18 = -4*p, 23 = -0*p + 5*p + m. Solve p*u - 4 = 9*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*r + 18 = -68*r + 2*o, -3*o = -3*r + 15. Let j = 226 + r. What is the greatest common factor of j and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3314332353 + 0?\nAnswer: -3314332353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -178. What is the highest common factor of 38 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - (-2 + (-2 - -3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4124 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -3. Let r = u - -2. What is the units digit of (r + 1)\/(-2) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2412*v - 3579. Let r(q) = 22*q. Calculate r(i(n)).\nAnswer: -53064*n - 78738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*o**3*u**2 + 26*c*o**3*u - 394*c*u**3 + 2*c - 10*o**3*u**3 - o**3*u**2 - 2*o*u**5 - 2*o*u wrt u?\nAnswer: -2364*c - 60*o**3 - 120*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 24 = -9*m. Let u(p) = -3*p + 18. Let j be u(m). Let a = j + 2. Calculate the greatest common divisor of 95 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306702.9 litres in millilitres?\nAnswer: 306702900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.201717*0.01\nAnswer: 0.00201717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0 + 1\/4*n**4 + 1\/3*n**3 + 0*n**2 + 3*n. What is the second derivative of g(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-2)\/(88\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 8574*c + 4393615.\nAnswer: -(c - 9059)*(c + 485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8856779 kilograms in grams?\nAnswer: 885.6779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378630189 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:13 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Let b(z) = -3*z. What is -b(n) - 2*k(n)?\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(22\/5))**(3\/47)*(u*(u*u**(3\/13))\/u)**11)**(-26) assuming u is positive.\nAnswer: u**(-81784\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280 divided by 280.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12735544 and 23080?\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 18*l - 2*c = -39, 8 = -4*l + 4*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c - 38. Let i(u) = 4*u**2. Determine i(f(l)).\nAnswer: 100*l**2 + 1520*l + 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 102*p + 28. Give c(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/72*-33)\/((-5)\/30).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 9. Let u(i) = 14303*i - 7149*i - 7158*i. Determine y(u(q)).\nAnswer: 4*q + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -424*u**2 - 4241*u - 13. What is g(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89595.67um in nanometers?\nAnswer: 89595670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95836 + -60601. Is 29 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -921501, -1842912, -2764319, -3685722?\n\"Answer: 2*u**2 - 921417*u - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 689 + -600. Suppose 3*x - m = -2*y, -3*y + 126 = -6*x + 8*x. Calculate the highest common factor of y and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177903833*f*v**6 + 21419*f*v + 3*f + 4*v**2 - 406*v + 1 wrt v?\nAnswer: 21348459960*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -96?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2*s - 11. Let x be v(-5). Let d be (-408)\/(-108) + x\/18 + -2. Suppose 0 = -d*z + 1698 + 92. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v - 45 = -26*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*s - s. What is the smallest common multiple of 6958\/245 + 6\/(-15) and s?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l**2 - 7265*l - 18. Let u(m) = -11*m**2 + 7266*m + 22. Give -5*u(f) - 6*v(f).\nAnswer: f**2 + 7260*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 13 = -4*l + 3, -5*l - 4*z = -46. Calculate the least common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 2. Let c be k(2). Differentiate -3*m + c*m + 2 + 0 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 44. Suppose 2*l + 0*l = -2*j + 4, -10 = k*l - 5*j. Solve 0*r**2 - 1\/4*r**3 + 0 + 1\/4*r**4 + l*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 129?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816 + -22748112790?\nAnswer: -22748110974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3004779, 6009560, 9014341?\n\"Answer: 3004781*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2466, -2.\nAnswer: -2, 0, 2466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(0*y - y + 0*y + 2 - y - 2 - 5 + 2*y + 5 + (4 - 1 - 2)*(2*y + 0*y - y))*(-3 + 3 - 3).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6997 + 230*g**2 - 6997)*(-4*g + 6*g - g + (3*g - 2*g + g)*(-6 + 0 - 2)) to i*g**2 + a*g + n + y*g**3 and give y.\nAnswer: -3450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 2*u + 2*u)*(-13*u - 9403 + 3*u + 10658) as m + j*u + o*u**2 and give m.\nAnswer: -2510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 80, 76, 64, 44, 16, -20?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(306) - sqrt(34))\/(sqrt(2)*2*2) + (-6*sqrt(68)\/sqrt(2))\/(-1*sqrt(288)).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 49, 102350 in increasing order.\nAnswer: -1\/6, 49, 102350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -589682 or -589709?\nAnswer: -589682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1211, 1175, 1139?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 0)*(2*x + 2*x + 8*x)*(-6*x**2 + 2*x**2 + 3*x**2).\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -357*a + 355*a + 570. Let u = a + -285. Solve 3*t + 5*t + 32 = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/30 - 13*u**4\/24 - 2*u**3\/3 + 10*u**2. Let n be d(7). Solve 4*w + 3*r = -21, -n*r - 12 = 5*w - 4*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14778 and 5445.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s = l + 46*s - 20, -l - 4 = 3*s. Suppose 3*o = 6*o - 18. Solve -l*z = 5*r - 40, o*z = 3*r + 2*z + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006432 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1032, 1033, 1034?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 705240*c - 705244. Determine m(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(-220) - (-26355)\/(-82830)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 13*n - 9. What is the tens digit of f(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18932 + -18932.6. Let a = -14 - -16. What is the fourth biggest value in a, x, 3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4 - 0. Let a = 113.4 - t. Let x = -109.999853 + a. What is x rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -107 + 86 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185146804*g**4 + 1804*g + 58330 wrt g.\nAnswer: -2221761648*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (1 + -6 + -2 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5047432 decades in years?\nAnswer: 5.047432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.04 - -0.04. Suppose 12 + 8 = -5*q, -o - 15 = 4*q. Let f(l) = -l**2 - 8*l + 8. Let k be f(o). Which is the nearest to k? (a) -3 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + 4*a**2 + 3*a - 4. Let r(x) = 5 - 2*x**3 - 3*x**2 - 4*x + 0*x**3 - 2*x**2. Let g = -2619 - -2614. Determine g*b(h) - 4*r(h).\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 66*f - 7. Let h(c) = 2. Let v(x) = 3*h(x) + l(x). Determine v(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b + 15. Put 2, b, -1 in increasing order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283217 times 6?\nAnswer: 7699302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39.45 and -1.8231.\nAnswer: 71.921295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 16*l**2 + 1\/24*l**4 + 0*l + 0*l**3 + 0. Let s(q) = 5*q**2 + 3*q - 3*q. What is s(w(o))?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429 - 281. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x - 733244 = 626566. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v - 4. Let t(j) = -1 + 7*j - 4*j - 4*j. Let a(i) = -2*q(i) + 14*t(i). Find the first derivative of a(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 136 in ascending order.\nAnswer: -5, 0.5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 55 = 85. Let y = f + -4. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6397*j + 6845*j + 22848 = 0 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 21556*c + 43128.\nAnswer: -4*(c - 5391)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3 + 15*n**2 - 12*n = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -6*-2*sqrt(156)) + (sqrt(156) - (1*sqrt(156)*5 + sqrt(156))))\/(4*sqrt(1200)*-2) + -3.\nAnswer: -3 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43945 and 48.\nAnswer: -2109360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 - (-1 + -8)) + 4188 + -4183.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 23*r + 4*r.\nAnswer: 33*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -17, 8, -1 in decreasing order.\nAnswer: 8, 1, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -30. Let o be 10 + -1 - (t - -5). Solve -4 = q - 5*q + 2*c, 4*c = -o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469326551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 + -193. Calculate the least common multiple of p and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4*n = 145. Suppose -28 = -g - 5*q, -5*q = 3*g - q - n. Solve 0 = -5*z + 5*m + 5, -6 = -z - g*m - 25 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, b: 4}. What is prob of sequence dd?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2632156948 rounded to 4 dps?\nAnswer: 0.2632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10649 is divided by 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60\/89 + -499\/712. What is the common denominator of u and -43\/1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(2\/28)\/((-446)\/(-48391)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -3618?\nAnswer: -3622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*m - 37*m - 3915. Let s be m\/(-12) - (222\/24 + -9). Calculate the highest common divisor of 1105 and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-360) + (-3)\/(297\/(-62))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b9 (base 15) in base 7?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 2*h - 2. Let a(o) = -21*o**2 - 11*o + 11. Give -4*a(n) - 22*i(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -20, -4*g - 4*c + 199 = 120 + 111 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 443982 and 100254?\nAnswer: 3107874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57271699 to the nearest integer?\nAnswer: 7568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0731 times 11?\nAnswer: -0.8041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 954\/962539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6\/37 (b) 1 (c) -10 (d) 17 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/30)\/((-8)\/10220). Let f = -353 + m. Calculate the common denominator of -29\/11 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45867, 46760, 47651, 48540?\nAnswer: 49427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4001*d**2 - 4424 wrt d.\nAnswer: 8002*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -860, -926, -1052, -1256, -1556?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-5)*3\/(-9). Solve 3*f + z*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 662479.\nAnswer: -11262143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-5\/6)*z)\/(z**3\/z))\/(z**1\/z**(-2)))**(2\/95) assuming z is positive.\nAnswer: z**(-29\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/2*m - 18*m**2 + 3*m**4 - 13*m**3 - 1 + 9\/2*m**5 = 0. Calculate m.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 + 3 = 0. Let w = l + 1. Let b(r) = r**2 - r + 14. Let y be b(w). Solve -5*m + 2*f - 7*f = -10, m - y = -5*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*x - 3 + 2*x**2 + 43*x - 80*x + (-31 - 5 + 5)*(0*x + x**2 + 0*x) as f + r*x + z*x**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) 945 (d) 47.6 (e) -1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2823, 5646, 8469, 11292, 14115, 16938?\nAnswer: 19761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17851091 - 10?\nAnswer: -17851101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10601, 4, 1, -2.\nAnswer: -2, 1, 3, 4, 10601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/5 + 3178*y**2\/5 - 83331*y\/5 - 86508\/5 = 0. What is y?\nAnswer: -3204, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386156952?\nAnswer: 2, 3, 5363291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2 + k + 1. Let s = 13088 - 13087. Let g(t) = 2*t**3 + 5*t + 4. Determine s*g(j) - 2*h(j).\nAnswer: 4*j**3 - 2*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h. Let v(x) be the first derivative of -x**2\/2 - 9. What is v(u(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31004 (base 5) to base 2\nAnswer: -11111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 306*f**2. Let h(u) be the first derivative of -2*u**2 + 1849. Give b(h(q)).\nAnswer: 4896*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 plus -0.16?\nAnswer: 425.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 + 5*w**2 - 14 - 12*w**2 to l*w**2 + i*w + t and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13045.26 - 84432?\nAnswer: -71386.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 30 = 5*p, -5*d + 3*p = -2*p - 180. Suppose -29*t = -23*t - 138. Let c = d - t. Calculate the highest common divisor of c and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3.936. Let k = -16.606 - -16.4. Let m = k - h. What is m rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/8 + 18*c**4 - 547*c**3\/2 + 474*c**2 = 0.\nAnswer: -158, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(42\/8)\/7*(9 + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 0*q - 1 + 3*q)*(-18759 + 18759 + 162*q**2) + (2*q**2 - 3*q**2 + 3*q**2)*(2*q + 2 - 2) to the form y*q**3 + c + x*q**2 + u*q and give x.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23189374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -0.92. Which is the closest to -1? (a) h (b) -14 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + o**2 - 2. Let w be (-4)\/(-2) - -1*20. Suppose -4*v + 5 = 2*l - 1, -w = l - 3*v. Let g(x) = 10*x**3 + 3*x**2 - 6. Give l*i(n) + 2*g(n).\nAnswer: -n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49\/35 - 6\/15. Suppose y = -y - f + w, 3*y - 3*f = -21. Put y, 6, 4 in descending order.\nAnswer: 6, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)\/k)\/k*k\/(k**2*k)*k*k**(-1\/9)\/(((k\/k**1)\/k)\/k) assuming k is positive.\nAnswer: k**(-23\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**2 + 22 - 32*z**2 - 62 + 47 + 19 as d*z**2 + o*z + a and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*q + 28 = 2*q, 56 = 2*h - 2*q. Suppose y - h = -26. Sort -1, y, -5 in decreasing order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-6)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25030 - 25033. Let s(p) be the second derivative of p**4\/2 + p**3\/3 + p**2\/2 + p. Let r be s(-1). Which is the smallest value? (a) z (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (202\/32)\/((-20)\/8). Let v = x + 12\/5. Does 0 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.4, -264\/17, 1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 22. Let h be n\/(-7) + 4\/14. Let m be (-3)\/h*(-44)\/(-6). Calculate the highest common divisor of 198 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5756 - 13040. Let f = n - -12480. Suppose -7*x + o + f = -2*x, 2*o - 3115 = -3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 3:57 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from kkyvn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = m - 19, 12 = 4*t - 3*m - 7. Suppose -t*h - 2237 = 27. Round h to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*g, 0 = -5*f + 4*g + 27 + 11. Let m = f - -2. What is the remainder when 15 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1985 * 267319\nAnswer: 530628215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*y + 4*y**2 + 9 - 99*y + 6 + 138*y to the form j*y**2 + u + v*y and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2.3, -0.2, -84, 1\/4?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*d + 4*d + 1223 = 0, 3*a = -2*d + 1225. Let z = a + 364. Suppose 2*f + v - 209 = 166, -4*f + z = -5*v. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(7\/(196\/7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011010100100 (base 2) in base 10?\nAnswer: -9892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 225 - v**2 - 127 - 2*v - 160 as w + f*v + a*v**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31 + 40.4659942.\nAnswer: 40.7759942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/(-400)*12\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - 7) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 47 - 7 = -5*b, -5*n + 5*b = -90. Let m = n + -4. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 121*c - 55375. What is o(180)?\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r = -277*r + 343 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2 - 742\/(-212). Let u(w) be the first derivative of -2*w + 0*w**3 - 10 + 0*w**2 + s*w**4. Differentiate u(p) wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 - -73. What is the smallest value in r, 0.3, -4, 1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*g**2 + 5*g**2 + 5*g**2 - g**2 + g - g - g**2 + 2*g**2 + g**2 + (g + 2*g - 2*g)*(2*g - 1 + 1))*(5*g - 3*g - 3*g).\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-50) - 6\/15. Suppose -32 = -2*j + y*h, -2*h + 34 = 4*j - 0*j. What is the greatest common factor of 77 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 4*u - 2. Let i(s) = -s**2 + 5*s - 2 + 2*s**2 + s**2. Let y be 4\/6 + 856\/(-24). Let o = y - -32. Determine o*d(w) + 2*i(w).\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from uiiuezuut.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664 (base 8) in base 13?\nAnswer: 57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 3) + (-10 - (-10 + 15)) + -11 + 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4 + 2*sqrt(1053) - ((sqrt(1053) - (2 + -3*sqrt(1053))) + sqrt(1053))))**2.\nAnswer: -378*sqrt(13) + 9526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6.57109 + -92\nAnswer: -98.57109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 3*w**2 - 6 + 5 + 5. Let g be b(0). Suppose -2*c = -4*v - 2, -2*c + 4 = -0*c - 2*v. Solve c*p + 5*x = 20, -g*p + 0*x - 4*x = -24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*r + 14, 0*s + s + 5*r = 8. Put s, -13, -1 in decreasing order.\nAnswer: s, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4691 = 1579. Let w = y - 374. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.87 - 25. Let z = 2.33 + m. Let j = z - 2.4. Sort -1\/3, 4, j.\nAnswer: -1\/3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)*((-120)\/(-9) + -12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.6, -18\/23, 1\/4, -1, 0.4, 15, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a55 - -2?\nAnswer: 9a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*p**2 - p - p**3 - 2*p**2 - 13*p**2 - 7*p**2 in the form h*p**3 + y*p + n*p**2 + k and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p - 5. Let f be n(-5). Let k be (-2052)\/(-14) - 30\/f. Suppose 4*a + 31 = k. Calculate the remainder when 55 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 3*z + 12. Let l(c) = -c**3 + 4*c**2 + 6*c - 2. Let v be l(5). Calculate the remainder when (1 - 4)*(-32)\/v is divided by x(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znppnpznp. What is prob of sequence znnz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 9}. Give prob of sequence fbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 118, 368, 786, 1372, 2126?\n\"Answer: 84*b**2 - 2*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.066692 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21960138?\nAnswer: 2, 3, 3660023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/22)*t)**37\/(((t\/(t*(t*t**(-7\/3))\/t))\/t)\/t**(-4\/27)) assuming t is positive.\nAnswer: t**(20099\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0 + 0*y + 0*y**3 + 0*y**5 + 1\/6*y**4 - 5*y**2 - 1\/40*y**6. What is the second derivative of x(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 720?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34900*g**2 + 174495*g + 25 = 0. What is g?\nAnswer: -1\/6980, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 29 = -26. Let g(u) = -27*u**3 - 2*u**2 + u. Let c be g(s). Let i = -76 - -49. Is c < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0.3, -3 in descending order.\nAnswer: 0.6, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4\/8 - 11824163*k**3\/2 - 18641444875020*k**2 - 19592847054342773450*k - 7837135839106307750.\nAnswer: -(k + 3153110)**3*(5*k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 930*f - 40. Let k be w(2). Suppose k = 12*c + c. Calculate the remainder when c is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/(-12) + (-3)\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/((-8)\/((-80)\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -3\/4 (c) 1834.4 (d) 0 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -933377, -2\/19, 43.\nAnswer: -933377, -2\/19, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.132859?\nAnswer: 1.062872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -50 - ((7 - 79) + 9) - (-6 + 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 t when three letters picked without replacement from {a: 4, k: 1, u: 3, p: 6, t: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - (0\/(-4) - -3). Suppose 3*c + c = -j*x + 36, -2*c + 4*x - 6 = 0. What is the second derivative of -9*r**c + 20*r**5 - 8*r**5 + 4*r wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39718 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(34 + -22) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22\/13 (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -344*w + 4. Let s be z(-3). Suppose 14*h - 10*h = s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001240389 rounded to 5 decimal places?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*z - 37 = 0, -2*x + 2*z - 65 = 3*x. Let o be (-4)\/22 - 57\/x. Solve -o + 1 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/4 + 105*f**3 + 636*f**2 + 2844*f. Factor l(v).\nAnswer: -3*(v - 212)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - 2*w + 1. Let s be h(-4). Let z = -149 + s. Let i = 76 + z. What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16021\/106718 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 26 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0 - 16*d**2 - 1\/60*d**5 - 5\/24*d**4 + 0*d + 0*d**3. Determine n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (157 + 57*p - 157)*(251*p**3 - 557*p**3 + 261*p**3) in the form r*p**2 + x*p**4 + o + l*p**3 + v*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/12 - 3*s**4\/8 + 5*s**3\/3 - 2658*s**2. What is b(4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1809)\/1072)\/(12\/(-32))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 41 = 4*n. Suppose -10 = 2*f, -3*i + 4*f + n + 22 = 0. Suppose 0 = -i*l + 164 - 24. Solve -4*b - l = -5*u, -3*u + 2*u = 5*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-47985)\/(-51) - (-2 + 2)) + 26\/221 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 20. Suppose g = -3*w + 7*w. Suppose 6*c - 1 = 47. Solve w*k + c = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105531*k - 87 + 105531*k + k**2 in the form a + b*k**2 + s*k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o**2 - 3. Let m(c) = 399*c**2. Give l(m(i)).\nAnswer: -1273608*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20718 is divided by 19671.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 13*i**2 - i - 1. Let c be y(-13). What is the highest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247 + 498. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a96b + 167?\nAnswer: -a804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unu when three letters picked without replacement from {n: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3885769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fflrxffr. Give prob of sequence frl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 13 = 4*s, 2*v + s = 83 - 81 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255519596?\nAnswer: 2, 3, 107, 977819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*t = -3000*t + 169446 - 141363 + 167899 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) -514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -15*g**3 - g - 1. Let x be u(-1). Suppose 3*j - 9 = 0, -2*f + 6*j - 11*j = -45. Let i = x - f. Solve 0*w - w = i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 1. Let a be u(-1). Suppose -7*p + a*p = 4*y + 52, 4*p + 3*y + 51 = 0. Let b = p - -24. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2563147 (base 10) to base 2.\nAnswer: 1001110001110001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (3661\/(-49) - (-6)\/(-21)). What is the greatest common factor of f and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from yluyuxxlullul?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48 + -54)*9\/2. Sort d, 2\/5, 4, 2\/11 in decreasing order.\nAnswer: 4, 2\/5, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7662210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3)*1 + -3 + sqrt(24)\/(sqrt(32)*-2).\nAnswer: -9*sqrt(3)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 707 by 707.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2706878 by -2.\nAnswer: -1353439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8816, 48349, 114238, 206483, 325084, 470041?\n\"Answer: 13178*h**2 - h - 4361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -86. What is the smallest common multiple of q and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 - 102 + 330*w**2 - 327*w**2 + 105 as i*w**2 + z*w + f and give f.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200021202200 (base 3) in base 16?\nAnswer: -3e41aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-47564)\/235)\/(-23))\/((4\/(-10))\/1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -22*(2\/(-56))\/((-39)\/(-6)). Let l = d - -3\/91. Which is the nearest to 2\/3? (a) 0.5 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.36 (b) 4\/5 (c) -3\/7 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*2*-2*-3.\nAnswer: 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18362 is divided by 4590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 18\/35 (b) -2\/11 (c) -4 (d) 5 (e) -3 (f) 4 (g) -1180\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - -1)*((-3210)\/(-300) - 11).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 84 - 28 = -5*w, -h - 5*w - 2 = 0. Calculate the smallest common multiple of h and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 228 = 4*c, -2*c + 2*g + 103 = -9. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*g - 8. Suppose 31*p - 28*p + 9 = 0. Let s = 35 + -37. Which is the fourth smallest value? (a) p (b) s (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 91581\/35 + 6*9\/(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -34*y + 33\/2*y**2 + 10. Let i(v) = 16*v - 17. Let o(n) = 9*i(n) - 4*m(n). Differentiate o(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974742309?\nAnswer: 1974742309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.0106996, 2\/1519?\nAnswer: -0.0106996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1265 + 3033 = -21*a - 11*a + 904 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2\/13, 3 in ascending order.\nAnswer: 2\/13, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 + 6*q - 11. Let m be z(-7). Let y be (-18)\/m - 5\/(-10). Let j(f) = -4*f + 1. Let h(s) = -9*s + 3. What is y*j(u) - 2*h(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (3 - -110) + -73?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*x + 255*x - 315*x in the form q + g*x and give g.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 132\/(-1782) + 433058412\/162. What is u rounded to the nearest 10000?\nAnswer: 2670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -52*h**2 - 107*h - 15. Give o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - 2.7. Let j(s) = 4*s**2 - 3*s + 3. Let z be j(3). Let n be (-9)\/6*(-8)\/z. What is the closest to n in -2, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002843 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c + 9240 = 10*c - 5352. What is the greatest common factor of 224 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304280 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101558152 and 16134.\nAnswer: 5378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61\/4 + 63\/4. Which is the nearest to -25? (a) 5 (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/((-4)\/(-3))*-2*(-70)\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by (-11 + 216\/40)\/(2\/(-5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-1 - (-7 - -2)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (4 + -15 - -7301). What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/4891321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 12) in base 8?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1703\/3852 - -1\/428. Let q = 0.14 + -0.44. Which is the nearest to 2\/9? (a) -0.01 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 49.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5217 and 148.\nAnswer: 20868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684 and 2907?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 70. Sort t, 2, -0.04 in decreasing order.\nAnswer: 2, -0.04, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + (-6 - 4 - -3). Suppose 0 = 2*x + 2, x = -q*h + 4*h - 5. Solve -l = 4*g + 11, 0*g - 5*g - h*l = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55530?\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1191627 * 90\nAnswer: 107246430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/12 (b) -3\/14 (c) -15 (d) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5840844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -9bec?\nAnswer: 9be6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -7. Let r = -3.617 + 1.617. What is the nearest to 1 in r, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 divided by -966605.\nAnswer: 244\/966605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**3 - j - 1. Let q be x(-1). Let s = q - -6. Let b be (-1)\/(3\/s) - -2. Solve 0*v + v = b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = -r. Let a = 16 - 16. Solve r*n - 4*n + 4 = a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 + 9*w**2 - w + 2*w**2 - 13*w**2. Determine s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 6*s**3 + 43*s - 33*s**2 - 50*s - 15*s**2.\nAnswer: -6*s**3 - 41*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2148*l + 15209. Calculate x(7).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a + 35. Let s be f(-3). Suppose 5*u = -4*v + 18704 - 4081, -u + 2933 = s*v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15868053, 15868051, 15868049, 15868047, 15868045, 15868043?\n\"Answer: -2*b + 15868055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11536 divided by -206?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**3 - 16*w**2 + 7*w - 16. Let r(f) = 5*f**3 - 8*f**2 + 4*f - 8. Let t(u) = 6*c(u) - 11*r(u). What is the remainder when t(-8) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxrhhhxh. Give prob of sequence hhrx.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 235\/3 - 12\/(-18). Suppose 2*a = r - 23. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225 + (-488 - -224) - (-1 + -119)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*m**3 - 49*i*m**2 - 28860*m**3 - 242*m**2 wrt m.\nAnswer: 6*i - 173160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 291 and 27.\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -31.5. Suppose 7*s - 2*s - 4*y + 20 = 0, -5*s = -y + 20. Let i be 10\/15*2\/s. Which is the closest to i? (a) u (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.949 * -2.8\nAnswer: 83.8572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -78, -8 in decreasing order.\nAnswer: 4, -8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 315\/2 + -157. Factor 1\/2*w**2 + 0*w + 0 - y*w**3 - 1\/2*w**4 + 1\/2*w**5.\nAnswer: w**2*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 85, 14, -0.3, -1\/67, 2\/15?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, o: 4, u: 7}. Give prob of sequence ooog.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-10) + 340\/100. Suppose 4*q - 8 = -n. Let c be -60*q\/((-20)\/16). What is the greatest common divisor of 36 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1970.5756 + 1971. Round k to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:58 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:15 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11732*t + 11766*t = 408. Suppose 7*z - 2*z = 10. Let x = -1 + 3. Solve -t = -x*b - z*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 20 = 4*v, w + 19*v + 226 = 2*w + 131 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 1 - 1 - (10 + -12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/32*-14 - 84\/(-112)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 7*u**2 - 6*u + 2. Let h(m) = -6*m**3 + 8*m**2 + 7*m - 2. Determine -6*h(j) - 7*t(j).\nAnswer: j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = 5*q, -3*o - 3*q = 2*q - 10. Suppose 3*r = 4*r + 2, o*l + 4*r - 27 = 0. Suppose -l*d - 3*d + 1320 = 0. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 103. Let f be k(-25). Suppose f*z - 3*p - 8 = 58, 2*p + 18 = z. Calculate the remainder when 98 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -267\/4. Let s = 0 + 0. Which is the closest to s? (a) v (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 247 = 13. What is the remainder when g is divided by 1*(-12)\/14*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {s: 2, g: 2, b: 3, z: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3362, -3260, -3138, -2996, -2834, -2652, -2450?\nAnswer: -2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94*f + 57*f + 39*f - 2 - 86)*(-11*f**3 - 21*f - 9*f + 38*f) to the form r*f + g*f**3 + u + y*f**2 + j*f**4 and give g.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 1. Let l(c) = 2*c**2 + 19*c - 14. Let b(o) = o**2 + 10*o - 7. Let x(i) = 11*b(i) - 6*l(i). Let n be x(-5). Determine y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = d, -3*d = -8*w + 4*w. Suppose 216*n + w*n**2 + 2*n**2 + 70 - 663 + 254 + 6171 = 0. Calculate n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148321 - 29039*v + 148321 - v + 3*v - 3*v + v - 2*v + 2*v + 0*v + 0*v - v + (3 - 4 + 3)*(-3 - 2*v + 3) + 4*v - 4*v - v - 2*v + 5*v - v.\nAnswer: -29043*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5111*l + 396*l - 9956*l - 9039*l in the form p + q*l and give q.\nAnswer: -13488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 43. Suppose 0 = -10*v - 8*v + 178 - 124. Solve -v*l = 3*y, 5*y + q = l - 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89903100 and 26970930?\nAnswer: 269709300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40847, -163454, -367843, -654014, -1021967, -1471702?\n\"Answer: -40891*v**2 + 66*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 12. Suppose -17 = k - 3*r, 4*k + 32 = 2*r + r. Let v be z(k). Calculate the common denominator of (-134)\/16 - v\/(-12) and 55\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000614852711 to 6 dps.\nAnswer: 0.000615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s + 1. Let o be h(1). Let u = 13 + o. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 + 135. Let l be 64\/(-48)*(-30)\/q. Suppose 2*d + 3*d + 2*r - 5 = 0, 5*d - r - l = 0. Which is the nearest to -2\/9? (a) -0.3 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2812 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 73 = i - 84, -4*x + 172 = 4*i. Calculate the remainder when x is divided by 14\/(-28)*13*1*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 3. Suppose 56 = d - 5*f, 2*d - 5*f = 7*d - 190. Calculate the remainder when d is divided by s(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruu. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3043*l**2*p**4 + 90*l**2 + 26*p**4 + 7*p + 19 wrt p?\nAnswer: 36516*l**2*p**2 + 312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 70*b + 430. Determine h(-7).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, n: 9}. What is prob of sequence fffn?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3137, -6510, -10363, -14936, -20469?\nAnswer: -27202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-49)*(n**3)**46 assuming n is positive.\nAnswer: n**(503\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-2 - 94)) + 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 3*f - 5. Let z(h) = -h + 10. Suppose 3*a + 3*s = 5*s + 254, 0 = -3*a - s + 251. Suppose 2*g = -4*g + a. Let t be z(g). Determine u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -107*x**2 + 1178*x + 140. Give u(9).\nAnswer: 2075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4\/3, -549 in descending order.\nAnswer: 4\/3, 2\/3, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108645 + -9961. Let p = 98683.49999 - g. Let o = p + 0.5. Round o to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4606 divided by 98.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 17. Let g(i) = -i + 4. Let h(t) = 26*g(t) - 6*n(t). Let a be h(-2). What is the units digit of 16\/a + 5\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -5\/3, 3\/11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -19*g - 500. Calculate k(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, 13, -1 in increasing order.\nAnswer: -1, 13, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-39 + (25 - 44))) + -6 + -1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (5 - 8) + (1 - 1 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s = -99*s - 157*s + 35*s - 2895 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -23. Let v be ((-2)\/(-4))\/(p\/6). Find the first derivative of 202*m**2 - 202*m**2 + 9 + 6*m**v wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k + 2*k**2 + k**2 - 3*k**2 - 2*k**2 in the form h + p*k**2 + d*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -15*j. Is 8 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m + 126*m = 28566. What is the least common multiple of 552 and m?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*w - 3)*(-341*w - 201*w + 133*w)*(-2 + 3 + 2).\nAnswer: -3681*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 + 2*c**2)*(383*c**3 + 3*c**2 + 45259*c - 90510*c + 45250*c).\nAnswer: 383*c**5 + 3*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1817)\/(-632) + (-50)\/(-80).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*v + 14, 3*v - 1 = 4*z - 8. What is the highest common divisor of z and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30305*u + 18669*u + 2814192 = 9888*u for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 0) + -3 - 5. Let h be 18\/(-15)*i\/2. Let l = 12 - 10. Solve -3*w + w + 22 = 4*f, -f = -h*w - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275274 and 6150?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 5*i**3 - 4*i**3)*(-2 + 3 - 2) - 12*i**3 + 12*i**3 - 20*i**3.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17904 and 51?\nAnswer: 304368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 22*q + 76, 191612*b + 5*q = 191610*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -150067334 times 3\nAnswer: -450202002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100114431 - 2321?\nAnswer: -100122302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 + -0.15. Let x = -2\/27 + 31\/54. Which is the nearest to 16? (a) 5 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -2029.\nAnswer: -57\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = 66 + 104 - 50 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 52*p**2 - 59*p - 417. Calculate a(-51).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -9 - (3 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -16 - 5270\/2108*(4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + 12\/(-5). Is t\/(6\/(-99)) - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17437417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*t**2\/3 + 3931202*t\/9 + 3640.\nAnswer: 2*(t + 16380)*(120*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -525.317 - -522. Let w = 0 - 3.3. Let c = j - w. Round c to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)*q)**(-7))**42)**(-15) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3787626\/(-183)*3\/7074 + 3. Let x = 12320\/23973 + -94\/183. Let h = x - z. What is the common denominator of h and -2\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:19 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7051915999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 168.\nAnswer: -115\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43434869 to the power of 1\/2, to the nearest integer?\nAnswer: 6591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = -0. Let f be w + 2 - (-3 - -2402). What is f rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, j: 5, b: 2}. Give prob of picking 1 y and 1 b.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*q + 82 = -2130 - 2396 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 21*p**2 + 3*p + 72. Let k(l) = l**3 - 4*l**2 - 2*l - 6. Let t be k(3). Calculate the remainder when 2\/8 + 828\/16 is divided by m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10701012061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15965, -64012, -144091, -256202, -400345, -576520, -784727?\nAnswer: -1024966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 13*z**2 + 6*z + 11. Let v be u(7). Is 0.005 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -5*t - 1, 0 = -a + 2*t. Find n, given that 19*n**3 + 7*n**2 - 3*n**a - 15*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288))**2*-2.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59162.69 tonnes to micrograms.\nAnswer: 59162690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + i)*(5*i - 2*i + 5*i)*(-3*i + 2*i + 3*i).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (-8979)\/365)\/(1\/5*18\/81)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/15, 43, 1\/4, -1\/3, 4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6270000 rounded to the nearest 100000?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 26*o - 141 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*-1 + (-1606)\/(-1752)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 1\/3*l**2 - 10*l - 31\/3 = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 23\/(-5) - 45366278\/7140. Let z = k + 38125\/6. Let j = z - -6\/35. Sort 0, -0.5, 3, j in decreasing order.\nAnswer: 3, j, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2319748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294696 + 294696 + 7*z - 5*z**2.\nAnswer: -5*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1245753 and 3330.\nAnswer: 12457530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 29. Let o be p(-5). Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuffaodokf. What is prob of picking 1 u, 1 d, and 1 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:42 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2222232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 1. Let j be o(1). Suppose -10 = -j*s - 3*b, -5*s + 14 = -2*s + 5*b. Let t be (-10)\/(-6) + (-2)\/(-6). Solve 2*q = -t*q - s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211324 at least as big as -211335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -597*c + 3 - 648*c - 776*c + 1820*c to the form f*c + q and give f.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s + 3*s**2 + 61*s + 43*s.\nAnswer: 3*s**2 + 71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28744273 is divided by 811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 5*u + 20*u + 6*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1652 (c) -1\/3 (d) 1018\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1523, -1, 0, 279, -5, -2 in ascending order.\nAnswer: -5, -4, -2, -1, 0, 279, 1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27909 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**7)\/o*o)\/o)**(-8\/7) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**3 - g**3 - 2*g**3)*(0 + 0 - 10).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 1:30 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**3 + 2. Let z(r) = -4 + 4 + r. Calculate c(z(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 - -193. Let y(q) = -5*q**2 + 30*q - 30. Let k(g) = -g + 1. Give n*y(h) + 30*k(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c - 5077 + 5077)*(4*c**2 - 144*c + 143*c - 5*c**2).\nAnswer: 17*c**3 + 17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*h - 44, 5*h = -18*o + 17*o + 38. Solve 0 = h*t - 171 + 143 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, t: 3, r: 6, o: 1, p: 1}. Give prob of picking 2 l, 1 o, and 1 t.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q + 1\/120*q**6 + 10*q**2 - 1\/3*q**4 + 0 + 7\/60*q**5 - q**3. Determine s(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1806 = 117467*l - 117381*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9652 divided by -38.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13661 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 331 + -331. Suppose x = -2*g + 28 - 18. Solve -2*o + g = -7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1079 and 1381867?\nAnswer: 17964271","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y + 38. Suppose 3*i + 20 = -i - s, -2*s + 20 = -2*i. Let t be a(i). Let f(x) = -t*x + 2*x**3 + 13*x - 2 - 3*x - 6*x + 4*x**2. What is f(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3455779 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7249814, 7249802, 7249792, 7249784?\n\"Answer: r**2 - 15*r + 7249828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -3 (c) -7\/3 (d) -7426\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -415050 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.960881 decades in years?\nAnswer: 39.60881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.3 (c) -0.02 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 66 - 6. Let a be (1*-5)\/(n\/8). What is the first derivative of -21*k**2 + 10 - 18*k**a + 35 + 10*k**2 wrt k?\nAnswer: -58*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*0\/(1 + 7). Solve 0 = -k*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/sqrt(275))\/sqrt(2).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8346 and 8179401?\nAnswer: 212664426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3133 = -377*k + 125*k + 14221 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102\/5 + -21. Suppose 1 = -2*c - v, 6*v = -3*c + 7*v - 4. What is the biggest value in x, c, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 88*x**2 - x - 2. Let c(d) = -d**2 - 32*d + 3. Let l be c(-32). Is v(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v - 4. Let p be a(-4). Suppose -5*d - 3*o + 35 = 0, -4*d + 2*o + 5 = -1. Suppose 8 = -d*q - p. Let z(b) = b**3 + 3*b**2 + 3. What is z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 33 - 42 = 0. Let n = -16 + 21. Suppose -v = -n*w + 60. Calculate the highest common divisor of 189 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = s. Let m(y) = -s*y - 2 + 0 - 1 - 3. Let r(q) = -2*q + 5. Let w be r(5). Calculate m(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1262 - -0.0738. Put 1\/15, -0.6, 0, z in increasing order.\nAnswer: -0.6, 0, 1\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - n - 30303, 4*n - 5*n + 7572 = c. What is c rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - 17*j**2 + 14*j + 3. Let q be v(6). What is the greatest common divisor of q and 1189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -46\/3. Let 1\/3*u**2 + 0 - a*u**4 + u**3 + 0*u = 0. What is u?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, 36 in descending order.\nAnswer: 36, 18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/1681615 and -44\/13.\nAnswer: 1681615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3*f - 4. Let j be z(-4). Suppose -9 = 2*h + 3. Is j at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-148)\/(-6))\/((-6)\/(-45)). Suppose 4*s + z = 9*s. Let m = s + -24. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19189 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 11*t**2 - 11*t - 6. Let x be c(-10). Let w be (x - 1) + -3 + 4. Let n be 3440002\/(-8) + 1\/w. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + s + 4 + 5 = 0, -5*m = -5*s - 15. Suppose -2*q = -3*q + m. Suppose -5*c + y = -75, 0 = 3*c - q*c + 2*y - 4. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 18 = -s + 5*c, -4*c = 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5399, -5423, -5447?\nAnswer: -5471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Let f be 0 + 3 + 4 + -2 + -2. Let y(p) be the third derivative of -6*p**2 + 0*p - 1\/8*p**4 + 0 + 0*p**f. Determine y(x(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8601.952 + 8558. Let r = v + -0.048. Let j = -49.4 - r. Round j to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -3 - (-6 - (1 + 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -12) - (6 + -50 + 26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.1 - 22.124. Let n = a + -0.776. What is the third biggest value in n, -4, 8\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -35*m**2 - m. Let z(s) = -104*s**2 + 4*s. Let i(v) = -3*x(v) + z(v). Let f(b) = -4*b - 13. Calculate i(f(p)).\nAnswer: 16*p**2 + 76*p + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4\/((h\/h**(-3\/7))\/h*h) assuming h is positive.\nAnswer: h**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/3)\/((-15)\/(-9))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/5 + 358*w**2\/5 + 4238*w + 82810 = 0. Calculate w.\nAnswer: -65, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2. Let a(w) = -4*w**2 + 4*w - 4. Let m(p) = 2*p**2 + p - 1. Let c(f) = -a(f) + 4*m(f). Give n(c(s)).\nAnswer: 288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 29*t**3 - 11*t**3 + 25*t**3.\nAnswer: 43*t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -2, -59, -132, -215, -302?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 g when four letters picked without replacement from dddgggddddggdd.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-7))\/3*(-96)\/11520*28.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = h - 119, 2*n - 43 = -0*n - 5*h. What are the prime factors of 192\/(n\/6) + 5?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1162*n**2*r**3*t**3 - 2*n**2*r**3*t - 4*n**2*r**2 + 1939*n*r**3*t**3 - 21*n*r**3 - 375*n*t**2 - 2*r**3*t - 3*r*t wrt t.\nAnswer: 6972*n**2*r**3 + 11634*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(0 + 0 - k**4) + (1 - 1 - 2)*(-226*k**4 - 96*k**4 + 37*k**4) to f*k + z*k**4 + p*k**2 + a*k**3 + b and give z.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225 + -229. Let o = 7 + 2. Let t = -9.4 + o. Put 1, g, 2, t in decreasing order.\nAnswer: 2, 1, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 927522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -162cb7 (base 15) in base 16?\nAnswer: -105e6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21660297.\nAnswer: 3, 2039, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 5*n + 3. Let x be q(3). Let z(v) = 1 + v + x*v**2 + 9 - v**2 - 4*v**2. Let i = 25 + -25. What is z(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501, 1002, 1503, 2004, 2505?\nAnswer: 3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -88, 942 in descending order.\nAnswer: 942, 0.3, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20538 - 20529 - 958*j + 231*j)*(0*j - j + 2*j) to the form d*j**2 + i + f*j and give d.\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -16)\/(0 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 171\/(-18))*((-80)\/98)\/5. Which is the closest to l? (a) 3 (b) -3 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -22. What is the second derivative of g*w + 4*w**3 + 0*w - 3*w**3 - 3*w wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -516200257.10001 - -516193496. Let b = a - -6761. Let d = b - -0.1. What is d rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - 0*(1 + 0). Let u = h - -8. Let t = -0.43 + 0.03. Which is the second smallest value? (a) u (b) t (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:24 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -372a28a (base 11) in base 8?\nAnswer: -30571754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373548, -375087, -376624, -378159, -379692?\nAnswer: -381223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 929, 913, 903, 899, 901, 909?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 3*n**2. Let h(i) = 2*i**3 + 5*i**2 + 1. Let r = 9 - 12. Let q(u) = r*h(u) + 5*c(u). Find the first derivative of q(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46, 0.3, -0.1, 0.04, 5.7, 46?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 38 = 152. Let q = 28 - f. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**6\/24 - r**3\/6 + 3*r**2 - 7*r. Let l(h) be the first derivative of g(h). Differentiate l(j) wrt j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/63 - 55\/252. Let q = -585.22 - -536.22. Which is the closest to q? (a) h (b) -2\/21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**3 + 2*z + 1. Let x be q(-1). Suppose -x = 5*n + 2*g, -3*n + 2*g - 4*g = -1. Let r be (n - -2)*(-4)\/(-4). Put r, 5, -2 in decreasing order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 24. Which is the nearest to r? (a) -5 (b) -1\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let s be (((-4)\/(-12))\/(5\/30))\/2. What is the nearest to t in 5, s, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (686666\/4)\/(2\/(-24)). Let m be 4\/(-2)*w\/4. Let a be 1 - (0 + 2 + m). Round a to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682*-1.3.\nAnswer: 886.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -2\/3 (c) 74 (d) -37\/2 (e) 4 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 559287 - 559286.6500094. Let l = -1.5 + 1.85. Let h = l - x. What is h rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*z - 3, 2*z + 3 = 3*l + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - h**4 + h**3 + 2*h**4 + 0*h**3 + 3*h**2 + h**2 in the form q*h**3 + n*h + o + k*h**4 + a*h**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 37*g - 13*g - 5*g - 39 - 15*g + 3*g**2.\nAnswer: 3*g**2 + 4*g - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*n + 112 = 0, -736 + 810 = d - 4*n. Solve 16*g + d*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c7359 + 20?\nAnswer: -3c7339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than 37025307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j + 0)*(-9*j + 0*j**2 + 7*j + 7*j**2)*(-j + 5*j - j).\nAnswer: 21*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) - 407\/(-44)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 - (81 - 101)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.111 * -0.08\nAnswer: 0.00888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*j**2 - 532*j**2 - 71*j**3 + 1 + 225*j**2 + 153*j**2.\nAnswer: -71*j**3 + 60*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - s**3 + 2*s**3)*(2 - 3 - 2) + (3 + 2*s**2 - 3)*(4 + s - 4) - s**3 + 2 - 2 - 12*s + 10*s**3 + 12*s.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -283, -626, -1095, -1684, -2387, -3198, -4111?\nAnswer: -5120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45937*-4.\nAnswer: 183748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/7)\/((-11)\/((-132)\/18))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025234804 rounded to 5 dps?\nAnswer: 0.02523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a centimeter?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -7.31?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-490)\/(-147)*(-1 + (-10)\/(-4)). Solve 3*c + 4 = -4*s, 4 = -k*s + c - 5*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - -0.21. Let m = 0.85 + -1.85. What is the smallest value in m, 0.4, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 16*y**2 + y**3 - 21*y**2 - 36 + 15*y + 5*y**2 + 11*y**2 + 9*y.\nAnswer: (y - 1)*(y + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (21 - (6 + -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppcpccppppppppp. What is prob of sequence ppcp?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5\/13 - 11356*k**4\/13 + 11372*k**3\/13 + 79480*k**2\/13 - 147642*k\/13 + 68148\/13 = 0.\nAnswer: -5679, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 10*q + 94. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.763 and 438716462.\nAnswer: 438716462.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 11. Let q(s) = -7*s**2. What is w(q(c))?\nAnswer: -7*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.57, -0.1, -350, -40, 5 in descending order.\nAnswer: 5, 0.57, -0.1, -40, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1908753280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/3005741?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(70) - (sqrt(70) + sqrt(70)*2*4)) + -2*1*sqrt(70))\/((sqrt(810) - (1*sqrt(810)*-1 + sqrt(810))) + sqrt(810)).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 25*v**2 + 9. Let u = -68 - -71. Calculate the least common multiple of k(25) and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, e: 7, h: 3}. Give prob of picking 2 e.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 620180, 1240116, 1860052, 2479988, 3099924?\nAnswer: 3719860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b + 1. Let j(c) be the first derivative of -9*c + 2 + 1\/4*c**4 + 8\/3*c**3 - 9\/2*c**2. Let y(t) = 18*d(t) + 2*j(t). What is z in y(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45855 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -147*x + 12491. Let o be t(85). Which is the closest to 0? (a) -0.0325 (b) o (c) 2\/13 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/20)\/(l\/(l*l\/l**3*l)))\/(l**(-1\/11))**(3\/22) assuming l is positive.\nAnswer: l**(-2511\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 9*j**2 - 16*j - 1\/4*j**4 - 2 + 0*j**3. What is the first derivative of t(k) wrt k?\nAnswer: -3*k**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*d + 1, 5*p = 8*p - 5*d + 7. Let k(s) = -8*s**2 + 2*s. Calculate k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3dca27 + -25?\nAnswer: -3dca4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201 - 5. Suppose 570 = 2*u + t. What are the prime factors of u?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147370 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41551 = -3054*z + 11365 + 25790 + 128966 for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 30*s**2 - 13435*s - 2240 = 0.\nAnswer: -1\/6, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v - l - 23, v - 436959*l = -436958*l + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-4)\/18)\/(51\/(5661\/(-148)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249*n - 310 = -2311*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/7 and 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 4*v - 6. Determine k(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*1497\nAnswer: -7485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -737.8093745 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/119)\/(60\/(-168)) + 0*(-1)\/3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by 191?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 133092 = -5*f, 79851 = 3*f + 44*p - 46*p. Is 56 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/15 (b) -1 (c) -3047 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/3 - 1\/3. Let w be d\/9 + 303\/27. Suppose 0 = 4*n - q - 31, -3*q + w = 3*n - 16. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from rrgggggrgggrr.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-64)*((-10)\/5)\/((-55)\/(-33))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2742 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 8\/5*s**5 - 166*s**2 - 484\/5*s**3 + 82\/5*s**4 + 944\/5*s + 56 = 0?\nAnswer: -14, -2, -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 0.4 (c) 1723\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/74 and 19\/740?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 (base 5) in base 13?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -0. Let u be 4\/(-6) + (-26)\/(-3). Suppose 4*f = u + 4. Put 4, f, z in increasing order.\nAnswer: f, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*f**2*s**2*v**2 + 990*f**2*s**2 + f**2*v - 2*f*s - 3*f - s**2 - 37*s*v**2 - 1007*s*v wrt s.\nAnswer: -238*f**2*v**2 + 1980*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 148, 231, 316, 403, 492, 583?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 12:43 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - ((-18)\/(-5))\/2) + 3554016\/(-2036155).\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8656 + 9648514\nAnswer: 9657170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1329 - 1329 + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(3 + 8\/(-2)). Suppose 3*q = 3*i + 60, -5*q - 140 = -g*q - 3*i. Solve 0 = -5*c - 0*c - q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*s**4 + 10*b*s**3 - 2621*b*s**2 + 647*b*s - 1704*s**4 - 15*s**3 + 2*s - 2 wrt s.\nAnswer: -24*b*s + 60*b - 40896*s - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - m)*(59*m**2 - 7 - 3 - 57*m**2).\nAnswer: -2*m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 7485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = d + 186, -2*f + 2*d + 40 = -56. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*i - 34, i + 3*b = 2*i + 16. Let k = 13 - 8. Let g = k - i. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/101 (b) 4\/13 (c) 5\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -16*p - 4. Determine y(27).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.33 (b) -5 (c) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/12 - 1\/2. Let y(i) = -23*i**3 - i**2 - i - 1. Let v be y(n). Let o = -9 + v. Calculate the greatest common factor of 65 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = -0*w, 0 = f - 2*w - 72. Suppose 0 = 474*o - 471*o - 816. Calculate the highest common factor of f and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000959 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2499934*m - 2499934*m + 10*m**2. Let a(s) = 6 - 4 - 2 - 2*s. Calculate j(a(d)).\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000958 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -810*d**2*s**2 - d**2*s + 4*d**2 - 137*d - 3*s**2 wrt s.\nAnswer: -1620*d**2*s - d**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 304\/5 + -61. Put -1\/8, g, -0.5, -0.1 in descending order.\nAnswer: -0.1, -1\/8, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1\/2)*(-42)\/(-252). Let j = 2.8 + 0.2. What is the nearest to u in -3, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-15) + 15\/18)*12. Suppose -a - 5*k + 16 = 0, -2*a - k + 8 = -i. Let b(j) = -j**2 - 2*j + 0*j**2 - 4*j. Let u(t) = -t. Determine a*u(f) - b(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270 - 270.0218. What is z rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 111, -2\/3 in ascending order.\nAnswer: -2\/3, 0.1, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25945249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/2 + 2)\/((-16)\/992). Let a = 198 - b. What are the prime factors of a?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1589 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k**3 + 11*k**2 + 6*k - 3. Let j(f) = -9*f**3 - 13*f**2 - 7*f + 3. What is -7*b(s) - 6*j(s)?\nAnswer: -2*s**3 + s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 0.5, 0, 1\/19, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 100\/(-8))*-34. Let d = b + -182. Let z be (0 + 19)\/(0 - -1). Calculate the highest common factor of d and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + (-58)\/(-6). Suppose -3*x = -3 - r. Which is smaller: -1\/3 or x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 2 (c) 15750 (d) -0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22002025 - 2?\nAnswer: 22002023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 489 and 2335106.\nAnswer: 1141866834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 17, 167, -58 in ascending order.\nAnswer: -58, -5, -4, 17, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 8*t - 24. Suppose t*k + 13 = 17. Suppose 3*u + 2*w = 10, k*u + 10 = u - 4*w. Calculate the greatest common factor of u and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/9, 0.4, -0.1, -88, -95\/6, 3\/4?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/((-40)\/(-36)) - 4. Suppose -3*t - 5*d = 2*t - 35, 0 = -w*d - 20. What is the remainder when 87 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 18, -2.\nAnswer: -8, -2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 14\/5, -1\/24 in increasing order.\nAnswer: -1\/24, 0.5, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 452\/17 greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(-6\/13)))**22 assuming s is positive.\nAnswer: s**(418\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 80, -0.4, -0.034, -5 in decreasing order.\nAnswer: 80, -0.034, -0.4, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5 + 1600*t**4 - 91444*t**3 - 5036560*t**2 + 5126400*t = 0.\nAnswer: -445, -36, 0, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 69*s - 2876725 - 6559512 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 + 129672*a + 4203706896 = 0?\nAnswer: -64836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 13 = 3. What is the remainder when (-7 - -4 - 3)*-2 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7392 and 2541?\nAnswer: 81312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*r + 9, 4*r = -5*t + 21 - 6. Suppose r = 4*w - 6*w + 32. What is the lowest common multiple of 18 and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(77)*1 + sqrt(77)) - sqrt(77))*-2)\/(((sqrt(77) + sqrt(77)*1)*6)\/sqrt(7)))**2.\nAnswer: 343\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 12}. What is prob of picking 2 t and 1 f?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by -3.\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 14. Solve -3*y + 15 = -q*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 3*y + 2. Let r(p) = -79*p**2 + 712*p - 7. Let v be r(9). Give g(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-31)\/32 - -1). Suppose 2*n = 8, g - n = -0*n + i. Suppose 0 = 2*w + h - 29 - 18, h - 71 = -3*w. What is the greatest common divisor of w and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2670006 = 5*g - 1477024. Let z = g - 499406. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/220 and -103\/308?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-12 - -18) + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -5\/24*f**4 - 7*f**2 - 29\/6*f**3 + 0 + 0*f. Let m be c(-7). Put -4, -3, m in decreasing order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 98*u + 885. Let k be f(-9). Sort 13\/11, k, -0.5.\nAnswer: -0.5, 13\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99.6 + 110. Let f = k + -10. Which is the closest to -0.2? (a) 0.5 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h + 4. Calculate a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 10) in base 15?\nAnswer: -2ee0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*w**3 + 6*w**3 - 17*w**3 + (2 - 2 - w**2)*(0*w + 3*w - 4*w) + (-12 + 26*w + 12)*(-2*w**2 + 2*w**2 + w**2) + 3*w**3 + 2*w**3 - 7*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*h + 10, -2*g + 4*h = -5*g + 15. Solve -g = 3*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/12 + 4*i**3\/3 - 5*i**2 + 2*i. Let m be a(5). What is the second derivative of -20 - f**2 + 20 + m*f wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39541 is divided by 1032?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 2*z**2 + 5*z. Let f be (-2)\/(1*(-4)\/8). Let l be v(f). Let t = -38 - l. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 80*w**2 + 54*w**2 - 59*w**2.\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 25 + 10*k - 15 - 9. Calculate the remainder when c(7) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 449176208691.\nAnswer: 449176208692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680 + 2733 - 1229 = 78*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:22 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42\/11 + 101\/132. Find the common denominator of i and -67\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 4. Suppose -3*g + 0*g = -3*u - 30, u = 3*g - 20. Calculate y(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/33 (b) 2 (c) 6\/13 (d) 3 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-8)*4\/(-2). Suppose -4*u + 156012 = 3*g, 2*u = -k*g - 0*g + 260006. What is g rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 573 from -0.07.\nAnswer: -573.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -63. Sort -2, s, -85 in increasing order.\nAnswer: -85, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/(-66) - 0)\/(-1) + (-127450)\/(-22) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -77958\/5, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -101100111011011000?\nAnswer: -101100111011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-11)\/550*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2036*k + 6120*k - 2044*k - 2040*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11122 (base 3) to base 13\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -1 + 9. Suppose 3*s - p*s - 15 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(3*d - 4*d + 14*d).\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 4. Let b = 18471\/11 + -1679. What is the closest to a in b, -2\/5, 2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5073\/4 + 1269. Factor 0*u - 3\/4*u**2 + 0 - r*u**3.\nAnswer: -3*u**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 = -4. Let c be a - 6\/4*-8. Let g be 27000006\/c + 3\/(-5). Round g to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3*j**2 - 3*j**2)*(j - j - j) - 16*j**3 - 8*j**3 + 6*j**3.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 5*g + 4*g)*(g**2 - g**2 + 2*g**2).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:00 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1 - 1 + g**2 + g**3 + 11 + 0*g**2. Let b be t(0). Suppose -24 = -4*z + 4*q, 4*z + 0*q = -3*q + 3. Solve -2*a = -z*w + 6 + b, 0 = 2*a + 2*w - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u + 2 - 5 + 2*u. Let x(s) = -10*s - 20. Let a(h) = 18*h + 35. Let q(k) = 4*a(k) + 7*x(k). What is i(q(c))?\nAnswer: -20*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*a - 6 = -5*l, 2*l + 3*a - 17 = 0. Suppose -41 + 3*i**l - 9*i**2 + 80 - 6*i**3 - 39 = 0. Calculate i.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(3) + 2))**2 + (sqrt(432)*-2)**2)*1 + (sqrt(3) - sqrt(27)\/(sqrt(54)\/sqrt(6)) - (-2 + sqrt(30)\/sqrt(10))**2).\nAnswer: 68*sqrt(3) + 1833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (9 + -8 - (2 + -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/5)\/6)\/(2\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525089 + 1079575 = 49*w + 329341. List the prime factors of w.\nAnswer: 17, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 17*g**5\/20 - g**4\/2 - 15*g**2\/2 + 2*g + 5. Find the third derivative of i(s) wrt s.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10894 + 10900. Calculate the remainder when (-51)\/1*(0 + -1) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 123479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.933897l?\nAnswer: 933.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7*u + 23 = 5*h, 3*u - 4*h + 18 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200022012201 + -11?\nAnswer: 200022012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 38\/3*q**3 + 52\/3*q**2 - 10\/3*q - 8 = 0. What is q?\nAnswer: -1, 12\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15113, 60398, 135863, 241514, 377357, 543398, 739643, 966098?\n\"Answer: q**3 + 15084*q**2 + 26*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000617223752 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9.2. Let n = 21 + -16. Suppose q + 4 = -4*z + 6*z, 2*q + 5*z - 28 = 0. What is the smallest value in w, q, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/7 - 191*m\/7.\nAnswer: m*(m - 191)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 34027110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 14) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -d25 (base 15) in base 10?\nAnswer: -2960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 43 = -3*a, -5*a = -4*l - 0*l - 53. Let v(o) = -6*o - 12*o - 12*o + o + 30*o - 4. Determine v(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/15*(-15 - (-435)\/(-58)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(-4*sqrt(3)) - sqrt(170)\/sqrt(640).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9526*i**2*k**3 - 9288*i**2 + 22*i*k**4 + 27*i wrt k.\nAnswer: -28578*i**2*k**2 + 88*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1721261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 14*t + 352. Suppose -4*i = 5*x - 120, 3 + 21 = x + i. Calculate the smallest common multiple of t and x.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**6\/180 - i**5\/120 - i**4\/4 + i**3\/3 - 4*i. Let m(w) be the second derivative of d(w). List the prime factors of m(5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2307 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25204244 + 321?\nAnswer: -25203523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 175 - 10541?\nAnswer: -10388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-45) + 1820\/(-2400) + -11 + 11\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*p + f, 2 = 2*p + 4*f - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006345121 rounded to 7 dps?\nAnswer: 0.0006345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umk when three letters picked without replacement from {m: 1, u: 1, o: 1, n: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/21)*h**(3\/8) assuming h is positive.\nAnswer: h**(215\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 1363355097.3.\nAnswer: -1363355093.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*p + 10 + 22, -f - p = 0. Suppose 0 = -3*s + f*h + 20, 5*s = 3*h - 8*h - 25. Suppose 2*q - 6*q + 596 = s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s**3 + 0*s**4 + 0 + 7\/20*s**5 + 56*s**2 + 2*s. Let v(u) = -3*u. Determine f(v(y)).\nAnswer: 189*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -23*a - 30. Let w be v(-6). Suppose -6*k = -2*k + w. What are the prime factors of (3\/k*-906)\/((-4)\/(-6))?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*k**4 + 3*k**4 + k**4 + (-2*k**2 + 3*k**2 + k**2)*(2*k**2 + k**2 + 3*k**2) + 15 - 15 + 15*k**4.\nAnswer: 51*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 + -0.08. Let i = p - -0.31. Sort -1, 0, i.\nAnswer: -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 135.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 28. Let d = 5 - f. List the prime factors of (-61)\/d - 2\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 3, y: 5}. Give prob of picking 2 y and 1 m.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d - 2. Let u(w) = 15*w - 3. Calculate 3*u(b) - 4*x(b).\nAnswer: -11*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 378461099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 40*q**2 - 105*q - 90.\nAnswer: -5*(q + 2)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147280 - -1030961\/7. Factor r*s**5 + 2\/7*s**3 + 0*s**2 + 0*s - 3\/7*s**4 + 0.\nAnswer: s**3*(s - 2)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 947 = -951 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 558\/135)\/((-10)\/(-25))*-171.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 1.7. Which is smaller: r or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + -4*(2 + (sqrt(17) - 1*sqrt(17))*-5)*-1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 865270 + 20.8.\nAnswer: 865290.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -341, -352, -379, -428, -505, -616?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 18723*x**3 - 42897*x**2 + 31977*x - 7803 = 0.\nAnswer: 51\/79, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221*3609.\nAnswer: 797589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(2\/36*-3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007800502 to 7 decimal places.\nAnswer: 0.0007801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/128 and -69\/1552.\nAnswer: 12416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*15\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 6*i - 19. Calculate t(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47661 * -1.\nAnswer: -47661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*((sqrt(891)*-1)**2 + sqrt(891)) - sqrt(891))*-3 - ((sqrt(891) + -2)**2 + 5 + (sqrt(891)*1)**2 + 2))*-5.\nAnswer: -44495 - 855*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15625 + -15607. Calculate the smallest common multiple of 338 and v.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3115 + 3121.004. Let m = 6 - l. Let p = m - -0.0117. What is p rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 160*x + 156.\nAnswer: 4*(x + 1)*(x + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -6, 33 in decreasing order.\nAnswer: 33, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 30 - 19*h)*(-3*h + 2*h + 1 + 1) as n*h**2 + u + w*h and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-11))\/5*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29669?\nAnswer: 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15466271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*24*17\/136?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 270\/910 - 4\/26. Let y = w - -5\/14. Let z = -1 - -3. Which is the third smallest value? (a) z (b) y (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:05 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 5*z + 5, 22 = -2*n - 4*z. Let f(h) = -26*h + 43. Let w(s) = 25*s - 42. Let y(t) = n*f(t) - 2*w(t). What is the derivative of y(k) wrt k?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**3 - 3*k**2 - 3*k. Let z(f) = 9*f**3 + 2*f**2 + 2*f. What is 2*n(a) + 3*z(a)?\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -138*b + 212. Does 16 divide h(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Let h(j) = 2*j**2 + 18*j - 10. Let b be h(-10). Let t(a) = -5*a**2 + 51*a - 7. Let q be t(b). Solve -p - 15 = 2*f, 8*p - q*p = g*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*h + 6785 - 6785.\nAnswer: -338*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2116, -2198, -2414, -2830, -3512?\n\"Answer: -11*k**3 - k**2 - 2*k - 2102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -4*(sqrt(84)*2 + sqrt(84)) - sqrt(84)*-1*6)\/((sqrt(1452) - (sqrt(1452) + -5*sqrt(1452)*2))*-3).\nAnswer: sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r - 57*r + 0 = -84 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448353 - 31.8.\nAnswer: -448384.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1)*-4 + 0.\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167.11 - 166. Let o = 372.27 - 373.38365. Let n = z + o. Round n to 4 decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 + -100. Calculate the highest common divisor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.018 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 223, 388, 609, 904, 1291?\nAnswer: 1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 10*k**2 + 9*k. Let d be n(-9). Suppose d = -4*o - o + 5*h + 35, 3*o = 2*h + 20. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010 + -11101?\nAnswer: -100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3310 is divided by 68?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -60.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1)\/((-1)\/(-2)). Calculate the remainder when ((-18)\/(-24))\/(3\/84) is divided by (-18)\/(c\/((-32)\/(-12))).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 43*r + 46. Let j be d(13). Let k = j - -1060. What is the remainder when k is divided by 2\/(-1 - (-13)\/11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(((-4)\/(-3))\/4). Suppose -2*d = -u - 17, 3*d - b - 3 = -5*u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0 - ((5 - -2) + -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 - 6*y + 4. Suppose 82*f - 175*f = -84*f - 360. Calculate the smallest common multiple of d(4) and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7\/9)*h\/(h*h**40) assuming h is positive.\nAnswer: h**(-367\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -19*z**3 + z**2 - z - 1. Let o(n) = 14*n + 41*n - 16*n. Calculate the remainder when o(1) is divided by s(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 649\/(-66) + 115\/138.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26344069 to the nearest integer?\nAnswer: 5133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*p + 31, 5*o = 605*p - 606*p + 43 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -608*b + 14. What is h(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-54)\/198.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 21 + 6*i**3)*((3 - 1 - 4)*(4 - 4 - 2) + 2 + 2 - 2 - 3 + 3 - 8) to the form g*i**2 + z + h*i**3 + b*i and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 172579\nAnswer: 172579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1995453705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**3 - 10*p**2 + 4*p + 5. Let s be f(-13). Let k = -54421 + s. Let x = -72176 - k. Round x to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -21.75. Let d = 19.75 + j. Let v = d + -21. Which is the second smallest value? (a) v (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2175, 4380, 6637, 8970, 11403?\n\"Answer: 4*w**3 + 2*w**2 + 2171*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knk when three letters picked without replacement from {u: 1, n: 1, r: 1, f: 1, k: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = -3*f. What is the third derivative of -4*b**f + 6*b**2 + 19*b**2 - 16*b**6 wrt b?\nAnswer: -1920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 1491674*v**2\/19 - 2983318*v\/19 - 60\/19 = 0.\nAnswer: -15\/745837, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -58.1. Let r = h - -7. Let q = -221 - -218. Which is the closest to 0? (a) 5 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101092 or -98416?\nAnswer: -101092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + x**2 + 2*x - 1. Let h(c) = -4*c**2 - 13*c + 4. Determine -h(t) - 4*o(t).\nAnswer: 4*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1 - ((-36)\/(-8))\/(15\/(-20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307525954481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k**5\/2 + 3763*k**4\/4 - 16159*k**3\/4 + 4329*k**2 + 819*k - 648 = 0. What is k?\nAnswer: -2\/5, 9\/26, 2, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*g + 106*g - r = -85567, -4*g + 68444 = 2*r. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:07 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670, 657, 642, 625, 606, 585, 562?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 20. Let n(i) = 14*i**2 - 17*i + 39. Let u(c) = 3*c**2 - 4*c + 10. Let a(r) = 2*n(r) - 9*u(r). Is a(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845398581 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572*s - 1480*s + 2116 = 0 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 23. Let f = w - 17. Let m(n) = 9*n**2 - 11*n - 5. What is the smallest common multiple of f and m(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-23 + -3 + 17 - (2 - 2))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 11. Let i(x) = 2*x - 11. Let g be i(6). Let c = d - g. Solve 5*s + 18 = t - 7, 0 = -3*s + c*t - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -27 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 57*y = 7*o + 59*y - 39, 4*y = -16*o - 0*y + 132 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47 + 46)*(-19 + 0). Suppose -7*c - 1716 = -x*c. List the prime factors of c.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96607.29 times 0.03\nAnswer: 2898.2187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, t: 1, i: 5, j: 1}. Give prob of picking 1 t, 1 i, and 2 a.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-744)\/868)\/((3\/(-14))\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001359 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1563 + 1572. Solve x - 9 = -a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196333 (base 10) to base 5\nAnswer: 22240313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561, 519, -1481, -7017, -17667, -35009, -60621?\nAnswer: -96081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 12139444\nAnswer: -12139448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 71636913*t**2. Let i(x) = -2*x. What is i(v(a))?\nAnswer: -143273826*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*l - 14*l**2 + 43*l + 31*l.\nAnswer: -14*l**2 + 123*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -274401.5 rounded to the nearest one thousand?\nAnswer: -274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42568397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -103, -97, -91, -85?\n\"Answer: 6*g - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 18. Suppose n*m + 6 = 14. Solve -m*d + 8*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l + 12. List the prime factors of u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12551634 - 22?\nAnswer: -12551656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*j + 587 = 0, h + 1244 = -3*h - 4*j. Is 21 a factor of h\/(-15) + (-9)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o = -46 - 144 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -40*t + 312. Suppose t*q + 2366 = 26*q. What is the greatest common factor of q and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w**2 + 19 + 30*w - 13*w**2 - 21*w. Let j be h(-11). Calculate the highest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67085 or 67086?\nAnswer: 67086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 105*c + 101*c - 1, -3*c = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 2. Let j(n) = 4*n - 1. Let s(f) = 3*j(f) - 4*w(f). Let d(v) = -7*v + 5 - 2 + 1. What is -7*d(l) + 6*s(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 35 = -14*m - 5*q, -5*m + 33 = 4*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -328*v + 20. Let y(d) = 109*d - 6. Give 10*y(t) + 3*z(t).\nAnswer: 106*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/1)\/(17 - 14). Factor -2*k**2 - 100 - 20*k + 2*k**2 - k**2 + u*k**2.\nAnswer: -(k + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:12 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 - 11190*k**4 + 89815*k**3 - 56400*k**2 - 561500*k = 0 for k.\nAnswer: -2246, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 43*u + 44. Determine n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 2.03. Let l = 55\/9 - 37\/6. Let z(d) = d**3 + 6*d**2 + 9*d + 3. Let x be z(-4). Which is the second biggest value? (a) x (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) + (sqrt(567) + -1 - sqrt(567)) + -5.\nAnswer: -5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2624785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 minutes before 3:02 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 41\/9, 1, -4\/3, -2, 3, 4\/9?\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 24*v + 6 + 2.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -7. Differentiate 4 + 2*i**2 - t + 1 with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4042 divided by 44?\nAnswer: -2021\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -2*l - 21, o - 4*l - 19 = 0. Suppose 9*t = o*t. Suppose t = 7*r + 64 + 265. Is -47 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*y - 18. Suppose 5*s - 52 - 52 = -y*v, 4 = -2*s. What is the remainder when v is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -25?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/7)*n**(-23) assuming n is positive.\nAnswer: n**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzzybybzgzzg. What is prob of picking 1 g and 2 b?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2075*r - 24897. Give p(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2*t - 4*t)*(-2*t**2 - 68 + 68) + (-4*t - 2*t + 4*t)*(-2*t**2 + 3*t**2 + 0*t**2) - 2 - 2*t**3 + 2 to y*t**3 + q*t**2 + k + d*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.11 + -36475.\nAnswer: -36473.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33563923 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.062 and -2789637.\nAnswer: -172957.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**9\/241920 - r**8\/20160 + r**7\/5040 + r**5\/30 - 2*r**2. Let g(l) be the third derivative of s(l). Solve g(u) = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 - 62. Let v = -2 + m. Let j = v - -48. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4238210851 to three decimal places.\nAnswer: -0.424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(85\/6))\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 22*x - 107995 - 135589 = 0. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*l**2 + 1925*f**4*l + f**3*l - 6288*f**2*l + 6*f*l**2 wrt f.\nAnswer: 48*f*l**2 + 46200*f*l + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -242\/365811 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*16\/20. Suppose c + 505 = q*a, -a + 0*c + 257 = c. Is 5 a factor of (-4)\/18 - (-3 - a\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 31 - 97 + 30 - 5*c + 37. Let a be b(-6). Solve -3*d - 4*w = -0*w + 14, 0 = 3*d - 5*w - a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 5. Let w be k(-5). Solve w = -4*b - 2*t + 4, 3 = b + 2*b - 3*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 13. Let p be h(-10). Let n be 1 - p\/((-6)\/(-2)). Suppose -n*u + 2 = m, -3*u - 1 = 2*u + m. Is 3\/32 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -11, 1\/2, -2\/3 in increasing order.\nAnswer: -11, -2\/3, 1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 2, b: 1, l: 1}. What is prob of picking 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -366855 + -2\nAnswer: -366857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -32*u - 105. Put -4, 1, -2, u in ascending order.\nAnswer: u, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 11*h**5\/5 - h**3\/3 - 53*h**2\/2 + 43. Find the second derivative of v(l) wrt l.\nAnswer: 132*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -6)\/(27\/(-86481)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91 or 34?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:56 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - 11. Calculate l(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*t**4 + 4*t**5 - 3*t**5 + 150*t**4 - 5*t**5 - 76*t**3 + 48*t**2 = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1930*q**2 + q + 712*q**2 - 2*q + 178*q**2.\nAnswer: 2820*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*l + 14 = i, 5*i + 4*l - 82 = 0. Let k be (-36)\/i*4\/2. Is (54 - k)*((-370)\/(-4))\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -330 + 662 - 332 + 170*u - 2130*u in the form z + m*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 997 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436961391153757 + 436961391153757 + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s**5 + 1\/30*s**6 + 0 + 5\/24*s**4 + 0*s + 0*s**3 - 3*s**2. Find the second derivative of u(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-45)\/6)\/(-3) + 35822192\/7164624. Is r smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 0.05?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -615.6 - -618.6. What is the fifth smallest value in -0.1, 73, -2\/3, s, 1\/6?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(228))\/(sqrt(3)*-3*2))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 75*z - 76*z + 31 = 0, -4*d - 27 = -3*z. Let l(a) = 13*a**2 - 5*a + 5. Let b(x) = 14*x**2 - 6*x + 6. Determine d*l(f) + 5*b(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 9.9.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -8 + -70 + -55 + 43?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - h + 25 = 4*h, 4*h = -5*w + 24. What is the third derivative of 10*p**2 + 34*p**4 + 3*p**2 - 44*p**w wrt p?\nAnswer: -240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/73 - 383\/219. Sort 0.28, 4, o in descending order.\nAnswer: 4, 0.28, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/4 + 115*l**4\/12 - 215*l**3\/6 + 105*l**2\/2 + 236*l - 2. Find v, given that b(v) = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 5*o - 45, 1037 = -p + o + 1036 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2500 (base 10) to base 8.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 3*p + 2*t, -5*p + 29 = -3*t. Solve 4 = p*r - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-2*-2)\/(sqrt(12) - ((-2*sqrt(12) + sqrt(12))*-4 + sqrt(12))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-789)\/(-21))\/(6\/(-21)). Suppose 3*k = 2*k + d. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -6. Let k be 2\/(-2) - (-3 - t). Suppose -2*z - 4 = k, -4*n - 5*z = -n - 17. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2\/5 - 8*b\/5 + 12\/5 = 0. Calculate b.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 853\/3 - 287. What is the common denominator of x and ((-2)\/(-6))\/((-143)\/(-1782))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84239963?\nAnswer: 61, 1380983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 78809. Let z be g(0). Let d = -114809 - z. What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.479 + -0.3.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3883 + 2415 - 20*o + 19*o - 944 + 2412.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*a - 413 - 7268 - 6719 = 0 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1400)\/28*18\/(-4) - 4. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:00 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 + 18*j + 65. Determine i(-5).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from ztthgwb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12) - 4\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2323\/319 - -82\/11. Is b at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2*b - 1)*(1 - 1 + 3*b**2) + (b - 2 + 2)*(-b**2 + 4*b**2 - b**2).\nAnswer: 8*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-4\/3)\/b)\/b))\/b)\/b**(1\/3)*(b\/((b**(-1)\/b*b)\/b))**36 assuming b is positive.\nAnswer: b**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146\/45 + 14\/5. Let q = 0.17 + 1.23. Let c = q - 0.4. Is c != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwnplwlnnnullw. What is prob of sequence nw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-770)\/56)\/11)\/(((-10)\/8)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(7\/5)\/z*z\/(z\/z**21))**(-37) assuming z is positive.\nAnswer: z**(-4144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 178461097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d - 2*m - 8, -2*d - 8 = -2*m. Let w(q) = -338*q**3 + 3*q**2 - 2*q + 12. Let s be w(d). Round s to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2\/(4\/(-22)). Let b be ((-4)\/(-5) + 0)\/((-65)\/(-325)). What is the greatest common factor of x and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 8 (b) 0.5 (c) 0.3 (d) 4 (e) 47 (f) -462\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 4\/8*-8. Let n(z) = -z - 6. Let v be n(f). Differentiate 5 - u**v + 4 - 2*u**2 - u**2 with respect to u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (-3*(sqrt(17) + 1) - (sqrt(85)\/sqrt(5) + 4))))**2.\nAnswer: 320*sqrt(17) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38.86861 - 0.09939. Let q = 39 + a. What is q rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11440, -11437, -11432, -11425, -11416, -11405?\n\"Answer: n**2 - 11441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2153*b*k**3 + 2*b*k + k**2 + 124*k wrt k.\nAnswer: -12918*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3753 is divided by 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 1. Let v be 0 - (13 - (2 - -1)). Let t = v - -11. What is z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -50. Let i = 9 + n. What is the greatest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 5:47 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + 10 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 12:57 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1655)\/(-15) - -4) + (-1)\/3. Let b = -111 + t. Put 4, b, -2 in ascending order.\nAnswer: -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*c*i*r - 67*c*i + 2*c*r + 18*r - 9 wrt i?\nAnswer: -9*c*r - 67*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2299)*-3)**2 - sqrt(2299)).\nAnswer: -62073 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -3) + (1 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 19005*a - 63 = 19010*a, -2*n - 7*a + 4*a = 25 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -38*x**2 + 291*x - 371. Calculate j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-78760)\/26252 + 3)*9. Let b = -41938 + j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/283 - 1099\/3113. Let u = 2.3537 + -1.3537. Sort s, u, -2.\nAnswer: -2, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + l, 351*j - 356*j + 3*l = -6. Which is smaller: j or 110\/57?\nAnswer: 110\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2 - 26*r - 1 - 2 + 30*r. Calculate g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*l**2 - 133*l**2 - 133*l**2 - 140*l**2 - 141*l**2 + 686*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242\/45 + -28\/5. Which is the second smallest value? (a) 3\/7 (b) 2\/7 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/40 + s**3\/2 + s**2 - s. Let b(o) be the first derivative of l(o). Suppose -2*g = -6 + 2. Determine b(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44374785, 88749569, 133124355, 177499143, 221873933, 266248725, 310623519?\n\"Answer: u**2 + 44374781*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 32*h = 37*h - 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/3 - -7)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 13*f**2\/2 - 6*f + 692. Let v(y) = -13*y + 7. Give -2*v(r) - 3*z(r).\nAnswer: -13*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**3\/2 + 11*o. Let d(m) = 5*m - 12*m + 9*m. Determine n(d(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 339017 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -41*g**2 + 214*g + 12. What is z(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.009 + -0.104. What is j rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 15*n + 194. Let b be c(-7). Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25 + (7 - 4)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 1, h: 3, t: 1, i: 1, c: 3}. What is prob of picking 1 h, 1 z, and 1 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 6012*w - 30034. Calculate h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15254 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(99) + sqrt(99) + 1 - sqrt(99)) + sqrt(99) - sqrt(99))**2.\nAnswer: 36*sqrt(11) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 13*o**2 + 383 + 183 + 4*o**2 + o + 3*o**2.\nAnswer: -o**2 + o + 566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.885 - 0.085. Let k = j + -9. Let u = k - 0. Which is the nearest to -0.1? (a) -0.3 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.8 + 12. What is the third biggest value in 1\/4, 3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25065 and 32?\nAnswer: 802080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 58 = 5*m. Let h be (-2 + -2)*-1 - m. Let l = -21 - h. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*c + 6*c - 13 = 0, 5*l - c - 49 = 0. Suppose -270 = -3*q + h, -90 = -3*q + 2*q + h. Calculate the greatest common divisor of q and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 2*w**2 - 3*w. Calculate s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -56*(-31)\/18879*(-2)\/(((-40)\/3)\/5)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)**(-50)*s**(-3\/2)\/s*s\/s**(10\/9))**(-45) assuming s is positive.\nAnswer: s**(4735\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 5*l - 2*l)*(-5*l**4 + 6*l**4 - 5*l**4) - 10*l**5 - 6*l**5 + 4*l**5 + 4*l - 4*l + 2*l**5 - 2*l**5 + 0*l**5 - l**5.\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(3*d + d - 3*d) + (-2*d + 7*d - 3*d)*(4 - 2 + 10) - 5*d - 2*d - 15*d in the form c*d + m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = 5*q, -4*q = -52*o + 48*o + 4. Solve o = 38*u - 13*u - 75 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1, 6, -40 in decreasing order.\nAnswer: 6, 5, 1, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/1*3705\/(-247)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1064)\/(-456) + ((-2)\/(-4 + 5) - 0). Let m = 0.03 - 0.43. What is the second biggest value in -6, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121313333 - 200?\nAnswer: 1121313133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/9 (b) -1\/15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56322, -225326, -507000, -901344, -1408358, -2028042, -2760396?\n\"Answer: -56335*c**2 + c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7495506*k**2 - 531688 wrt k?\nAnswer: 14991012*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 2*q - 5348*q**2 + 48618*q**2.\nAnswer: 43270*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*f + 2*x - 51, -5*f - 4*x + 95 = 0. What is the least common multiple of (f - (-2 + 5))\/(2\/4) and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + z + 2*z - 4*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -478 - -498. What is the remainder when 819 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -264*m + 7. Let z be o(-7). Suppose -z = -3*a - 2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38\/5*v - 81\/2 + 1\/10*v**2 = 0. What is v?\nAnswer: -81, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25711 to three dps.\nAnswer: 0.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 761719*r**2 - 761719*r**2 - r**3 + 1. Let w(p) = 4*p**3 + 13. What is -3*d(g) - w(g)?\nAnswer: -g**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 23 - 2. Let u = -13 - q. Suppose -3*t + u = -d, -9 = -5*d + 5*t + 1. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2311137, 9244539, 20800209, 36978147, 57778353?\n\"Answer: 2311134*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2, 26 in descending order.\nAnswer: 26, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 3. Let o(g) = 1. Let i(r) = -2*o(r) + q(r). Let l be i(-1). Is l at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.8 + 0.2. Let n = 18.5 - l. What is the nearest to 0.2 in 2\/9, -2\/19, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 + 8*s + 15. Let l(z) = -z**2. Let a(f) = 4*l(f) + u(f). Let x be a(-6). List the prime factors of (-4)\/6 - (-179)\/x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 33*y - 100. Let h be t(3). Let x be (12\/(-5))\/(1235\/(-175) - -7). Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b - 197*b = 6648 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**4\/12 - c**3\/6 - c**2\/2 + 61*c. Let t(g) = -2*g**3 + g**2. Calculate s(u) + t(u).\nAnswer: -2*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 4*f + 2. Suppose 2*w - 2 = 4*h, 5*h - 7 = -3*w + 18. Let c = 52 + -36. Calculate the remainder when c is divided by m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 3*q**2 + 2*q + q - q + 2*q**2 + (2 - 2 - 6*q)*(0*q - q + 2*q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.98 + -1.18. Which is the third biggest value? (a) -0.04 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -2, 3, 7.\nAnswer: -2, 0.5, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 63, 1 in ascending order.\nAnswer: -14, 1, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 35.5. Let v = w + 10. What is the nearest to -0.1 in -1, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 825 = -11*j. Suppose -g = 4*g - j. List the prime factors of g.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.32 - 1.02. Which is the third smallest value? (a) -1\/6 (b) o (c) -1\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 79*r - 77*r + 6, -6 = -2*r + 4*o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - 2*r + 2. Let p(t) = 12. Let i(j) = -1. Let g(f) = 22*i(f) + 2*p(f). Let s = 64 - 62. Let o(v) = s*k(v) - 2*g(v). Factor o(w).\nAnswer: -4*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 13 = 0. Suppose 4*h - 16 = 0, -2*c + k = 3*h - 17. Solve 0 = 3*l - c, 0*l - 2*l = -n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/6*-10*(-4)\/30. What are the prime factors of 12 + (-48)\/q - -142*5?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*a + 39. Let i be 6 + (-6)\/(3 - a). Put i, -1, 5, 1 in ascending order.\nAnswer: -1, 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 4471*j**2 - 13404*j.\nAnswer: -j*(j - 4468)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 894.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3723262 - -14?\nAnswer: -3723246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/5 - 4) + -4 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sii when three letters picked without replacement from iinisguusuuguusni.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*b = 28830, 20027 = 5*x - 3*b - 28031. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 - 13*r - 1. Let u(v) = -9*v**2 + 18*v + 3. Let l(t) = -5*j(t) - 4*u(t). Let b(n) = -5*n**2 - 6*n - 6. Calculate 7*b(y) - 6*l(y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 283 + -1979\/7. Let r(o) be the third derivative of o**4\/24 - 2*o**3\/3 - 2*o**2. Let m be r(3). Are m and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49635410\/(-3795))\/127 + 103.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071011?\nAnswer: 19, 56369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 3*s + 6. Let x be z(5). Suppose f = -f. Is x at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1968*p**2. Let i(z) = 7*z**2. Determine i(d(x)).\nAnswer: 27111168*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 6*o + 36*o + (o + 0*o - 2*o)*(-2 - 2 + 1)*(3 - 1 + 1) to j*o + h and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637040 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128716, -128717, -128718, -128719, -128720?\nAnswer: -128721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/973 and -2*(-7)\/14 + 8\/(-98).\nAnswer: 6811","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(0 - 5\/(-75)). Let d = 105 - y. Solve -3*p - 3*q - 3 = d, 4*p - 2*p - 2 = -4*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8792 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/2, 1\/2, -3, -0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 361311?\nAnswer: 361302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 90*v - 666 + 1277 - 607.\nAnswer: 4*v**2 + 90*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 806408 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 2*p. Let f be i(3). Is 11 a factor of ((-1)\/f + -4)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6290 and -53\/22644.\nAnswer: 113220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from jgnnygrrnrrjrggnnj?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.6 - 13. Which is the nearest to -1\/2? (a) -1\/11 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 1 + 3 + n - 3 + (-36*n - 10*n + 107*n)*(117 - 117 + 12*n) as d*n + f + c*n**2 and give c.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*k - 16 = 0, 2*z = -4*k + 7 - 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 + y**2 - y + 1. What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 18 - -5) + -15 + (2 - 5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 25 = x, 12*x - 15*x = -3*b + 24. Put b, -3, -83 in decreasing order.\nAnswer: b, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -448659, -449027, -449393, -449757?\n\"Answer: c**2 - 371*c - 448289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2688 and -0.073458.\nAnswer: -197.455104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 22*w\/17 + 180\/17.\nAnswer: -2*(w + 2)*(17*w - 45)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1542.105 nanoseconds to days.\nAnswer: 0.0000000000178484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Suppose -t*v + 9 = -12. Calculate the smallest common multiple of (7 - 5)*(-6)\/(-4) and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(4\/5)*x*x**(-4\/5))\/(x\/((x\/x**(1\/3))\/x*x))**(-2\/51) assuming x is positive.\nAnswer: x**(1846\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 4339 - 2049 + q - 56.\nAnswer: 2*q - 6444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**2 - 2*u - 1. Let h be p(-3). Let i = h - 226. Which is the third biggest value? (a) i (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*k + 2*k**2 + 2 - 11*k - 6*k + 2 + k**2 - 2 + (-3*k + 4*k + 0*k)*(-1 - 2*k + 1) - k + k - 3*k**2 - k**2 + 3*k**2 + k**2.\nAnswer: k**2 + 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/9))\/j**(1\/22)*(j\/(j*j**11\/j*j))**(-42) assuming j is positive.\nAnswer: j**(91687\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 109\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242 + 4020. List the prime factors of i.\nAnswer: 2, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x - 26 = 5*z, -z - 22 = -3*x. Suppose 3*u + 5*k = x*u - 30, -2*k + 14 = 4*u. Solve u*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6851508.\nAnswer: -1\/3425754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1 (c) -146 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 71 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77948454, -155896911, -233845368, -311793825?\n\"Answer: -77948457*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1)\/((-11)\/22 + (-1)\/(-4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*m - 5. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 - (1 + -2). Let a(i) = -3*i**x + 6*i + 2*i**2 + 4*i + 4 - 6*i. Let t(k) = -k**2 + 5*k + 6. Let p be t(5). Calculate a(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -3 + 35 + 0. Suppose -o = -5*d - 21. Find w such that -w - 7*w + 51*w**d - 50*w**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 27*a - 121. Let m be h(31). Suppose -m*z = -0*z + o - 6188, 2*o = -z + 2061. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (589 - 1180 + 669)*(5*n - 17*n - 19*n)*(-n + 4*n**2 - 4*n**2 - n**2).\nAnswer: 2418*n**3 + 2418*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r + 1562 = -45*r + 143*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 1168. Let b = p - -662. Round b to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-12))\/(((-805)\/14)\/23).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1045*s + 3133. Give c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*p = -4*s + 16, -4*p + 3*s - 19 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*5.85\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (462\/(-56))\/((-2)\/24). Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 27 - 139*s + 30 - 87 as d + o*s and give o.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*y - 4 = 4*y, 3*y + 6 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*9\/9*(-2)\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4255 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 817*c. Let s(j) = 2*j. What is s(l(m))?\nAnswer: 1634*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(13) + sqrt(13) + sqrt(13) + 1 + sqrt(13)) + (5*sqrt(78))\/sqrt(6))*2)**2.\nAnswer: 12672*sqrt(13) + 228816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 739 = -5*t, 5*t - 453 = -b - 81. Calculate the remainder when b is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41613 or -41610?\nAnswer: -41610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -16, -240\/7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6368*p**2 - 34898*p - 301673704 wrt p?\nAnswer: -12736*p - 34898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n**3 + 128*n**2 - 104*n + 942. Determine s(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 72\/5 of a microgram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 4. Suppose -5*z + 16 = -3*f, -f - 28 = -2*f - 5*z. Determine u(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 + 53910*f**2 = 0. Calculate f.\nAnswer: -10782, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.075 - -33082.4509788.\nAnswer: 33082.5259788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-102235296)\/(-576) + (-10)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8276955 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 217 in increasing order.\nAnswer: -0.5, 4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -17, -23, -29, -35, -41?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.068 (b) 4 (c) 7755 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -12*x + 15*x - 5*j, 3*j + 6 = -3*x. Let b be (5 - 4) + 1 + x. Let y = 2 - -7. Solve m = 2*t + t - y, -b*t - 5*m = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.0883t in grams?\nAnswer: 983088300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/98 - 563\/64778. Let a = g - -1946\/24457. Is 0 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3 - (-4018231)\/(-642908). Let v = s - -2\/22961. What is the common denominator of 35\/4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 266733*r**2 + 407*r - 1221. Let o(w) = -6559*w**2 - 10*w + 30. Let q(a) = -407*o(a) - 10*y(a). Let u(x) = 2*x. Determine q(u(t)).\nAnswer: 8732*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 7*v**4\/24 - 58*v**2. Let q(p) = -2*p. Calculate 3*j(z) + 8*q(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 1:47 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(700) + sqrt(700))**2 + 4 + (2 + sqrt(847) - sqrt(847) - sqrt(7))**2 + ((3*sqrt(28))**2 - sqrt(7)).\nAnswer: -165*sqrt(7) + 3083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 + 2*p**2)*(-3 - 4 + 5 + (-10 - 10 + 6)*(3 - 2 - 2) + (2 - 4 + 3)*(1 + 2 - 2))*(3 + 3 - 5 - 1 + 2 + 0 + (2 + 3 - 4)*(1 + 0 + 1)).\nAnswer: 104*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10232754 (base 8) to base 9\nAnswer: -4076524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 811 + -8922\/11. What is the second smallest value in t, 1\/3, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -9809083465891\nAnswer: 9809083465890.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208 - -326. Let u = v - 104. What is the remainder when 39 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 14562320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -163826390?\nAnswer: -163826389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**4 - 17*d**3 - 27131*d + 41141908 with respect to d.\nAnswer: 4*d**3 - 51*d**2 - 27131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 10902114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)\/(l*l**(-4)\/l))\/(l\/(l\/(l**(-1\/3)\/l*l)*l))**(-20\/7) assuming l is positive.\nAnswer: l**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1033*j - 130338 + 150998 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 6) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-8 - 15) - (9 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -25, 0.3 in descending order.\nAnswer: 0.3, -0.5, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-685 + 1379 - 695 - 8*u)*(4 + 6 - 7).\nAnswer: -24*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 8 + 3*j + 0*j as l*j + g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62120255719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-60))\/((((-252)\/40)\/(-9))\/((-1162)\/(-5395)))\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 + 2 = 0. Suppose 4*y = -2*l + 4*l - 22, -i*l + 4*y + 61 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 110204199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.58 + -0.12. Let b = 3785.2987 - 3786. Let y = b - r. What is y rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-9) + (-128)\/(-8) - (1045\/10)\/(-19).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 41. Let c = -0.3 + 2.3. Let n = 116.4 + -116. What is the third smallest value in k, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1023645845 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.3 in -0.3, -4, 4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12*p + 5120 = 7*p, -p = 3*m - 3056. Let l = m + -632. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*m**3 - 277 wrt m.\nAnswer: -1005*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(2\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3131*s - 72 = 3135*s - 5*w, 12 = w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let x(k) = -185912623*k. Calculate x(j(m)).\nAnswer: -371825246*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 20*j + 64. Let r(n) = -n**2. Calculate f(r(s)).\nAnswer: -s**4 + 20*s**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/5, -2\/9, 0.5 in decreasing order.\nAnswer: 0.5, -2\/9, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-5\/4)\/g)\/g)\/g*g*g\/(g*g**(2\/5)\/g)*(g**(-2\/7)*g)**16)\/(g**(-3\/11)*g**(-1\/2))**(-7) assuming g is positive.\nAnswer: g**(6729\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.737 times 102\nAnswer: -75.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s + 191. Let t be w(10). Suppose 14138 = -79*a + t*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(187)\/((sqrt(176) + sqrt(11) - sqrt(11)) + sqrt(11)) + -5.\nAnswer: -7 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56 and -0.4?\nAnswer: 56.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*a*f**3*p*u + 2*a*f**3*u + 2*a*f**2 - 327*a*u + 62*f**3*u + 37*f**2*p*u + f*u wrt f.\nAnswer: 234*a*p*u + 12*a*u + 372*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1803894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4034571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + -72 + 114 + -35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 19*q - 207. Let d be a(11). Suppose -3*w + w = -5*l - 24, 0 = d*w + l. Solve 4*h + 4 = w*u - 6*u, -4 = -2*h - 5*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9672359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 67 = -5*u. What is the remainder when u*(5 - 2)\/6 is divided by 4\/(-6) + (-34)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5175*a**2 - 2 + 2 + 5519*a**2.\nAnswer: 344*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -607, 5 in increasing order.\nAnswer: -607, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17620574, 35241149, 52861724, 70482299, 88102874?\nAnswer: 105723449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41105 - 28?\nAnswer: -41134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 38 = n, 2*z - 2 = 3*z. Suppose 40*d - 23*d = -n. Sort d, -16, 3.\nAnswer: -16, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154913977 is divided by 5071?\nAnswer: 5069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 4*f + 24, -2*u = -7*u - 3*f - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5689 + -5669. Solve -5*w + k = 3*t - 0*w, -3*t = 4*w - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -28. Suppose 0 = -3*t + 5*r + w + 105, r = 3. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 2. Let t be s(-1). Solve k + 16 = 3*h, 5*h - t = -4*k + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 - 71*m + 1096. Give n(21).\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1001 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*g**4 - 3*g**4 + 0*g**4 + (-3 + 3 - 2*g)*(0*g + 0*g - 2*g**3) + (-2*g + 2*g - g**2)*(g**2 + 3*g**2 - g**2).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 - 2*h + 1. Let g(w) = 32*w**2 + 1074*w + 1042. Let b(o) = 2*g(o) + 22*l(o). Factor b(v).\nAnswer: -2*(v - 1053)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 10:30 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011067985 rounded to 5 dps?\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 25 = -2*p, 0*t + 25 = -4*t + p. Sort 5, t, -4\/9 in decreasing order.\nAnswer: 5, -4\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from nzkmytk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:33 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 113223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -49. What is the second derivative of -15*i + v*i - 12*i**2 + 17*i - i**2 wrt i?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(3\/(-12)). Let f(b) = b**2 - 8*b + 14. Let o be f(7). Let g(w) = 13*w**2 + o*w**2 - 4*w - w**3 + 3 - 15*w**2. Calculate g(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/28 and -69\/376.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2448))**2 + sqrt(17)*3 + 2.\nAnswer: -69*sqrt(17) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 26 = 3*h, 7*h - 8 = -2*u + 2*h. Suppose -4*w = f + u, 4*w - 10 + 28 = f. Sort f, 3, 0 in decreasing order.\nAnswer: 3, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, -4, 2, -6, 4.\nAnswer: -144, -6, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 396.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c + 7 = 41*c - 4*a, 0 = -5*c - a + 2. What is the first derivative of c + 92*o**4 + 182 - 44 wrt o?\nAnswer: 368*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.282, -4 in decreasing order.\nAnswer: 0.282, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/3)\/(20\/12))\/((-9)\/((-225)\/1))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 3*o**2 + 4*o**2 - 7*o**3 + (-3*o**2 - o**2 + 3*o**2)*(3*o - o - 4*o) + o**2 - o**3 - o**2.\nAnswer: -6*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + 4. Suppose -2*d + f*n = -84, d + 3*n = -d + 109. Let c = d + -40. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d9301 (base 15) to base 5.\nAnswer: 1224423201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2908647, 2908653, 2908659, 2908665?\n\"Answer: 6*h + 2908641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most -56.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -524914*v**4 - 17*v**3 - 5*v**2 - 529140121*v - 1?\nAnswer: -6298968*v**2 - 102*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213539123.\nAnswer: 7, 30505589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9226 divided by -2.\nAnswer: 4613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p. Let o(h) = -h**2 + 14*h + 17. Let g be o(15). Let k(v) = g*v - 5*v - 6*v + 15*v. Calculate k(u(x)).\nAnswer: -114*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3888 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 506?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:12 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, 1\/2, 3, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 + 0.24. Let b = -0.024 + -6.676. Let n = 7 + b. Put l, -2, n in decreasing order.\nAnswer: l, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + n, -n = -m + 2*n. Suppose m = -0*u - 5*u - 5. What is the remainder when 44 - 1*0\/u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 10. Let y be z(17). Let t be (-15)\/y*(5 - -1). Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7973370615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let g(h) = 16*h + 24*h + 106*h. What is n(g(p))?\nAnswer: -146*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39*(4*(-1)\/3 + 2). Suppose -d = -3*s - 20. Suppose -g + 3 = -s. Solve 4*u - g = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6409*i - 660184. Determine n(103).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2652 = 4*c + 3*x, 4*c + c - 3*x - 3288 = 0. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 bigger than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3\/5*u**4 + 3\/5*u**5 - 18\/5*u**3 + 9\/5 - 6\/5*u**2 + 3*u = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49\/402 - 3\/67. What is the closest to 4 in d, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + 65 + (-3 - (-3 + -12 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6175 and 1838525?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 1 i when three letters picked without replacement from {i: 2, q: 1, l: 6, v: 2, b: 3, n: 5}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4261d (base 14) in base 10?\nAnswer: -160355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1035 + 14102?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*b - 4, 2*b - 3 = 5*b + 4*l. Let v be (66\/30)\/((-1)\/b). Let h = 87 - v. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12911 + 12952. What is the remainder when f is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*n = -2*n - 28, 5*k - n = -88. Let p(c) = -15*c - 1. Let d be p(-2). Let h = d + k. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 25*w**2 - 114*w + 88. What is the least common multiple of 3\/(18\/44)*6 and l(5)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-13)*4\/(-5))\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24820159 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361474899?\nAnswer: 3, 43, 2802131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k + 1 - 4*k + 2*k**2 + 0*k + 1 in the form p*k + b*k**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1 - 3*s + 5 + 1. Let v be g(3). Let i = 6996 + -6997. Sort v, -3, i, 3.\nAnswer: -3, v, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1 - 0, 4*s + 3*j = 35. Suppose 0 = d - 4*y - s, 0 = -d - 3*d - y + 83. What is the units digit of d\/15*(-18)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 17 = -4*o. Suppose 0 = -3*i + m + o, i = 5*i + 3*m - 67. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 1534*h**2 + 8*h**2 + 175*h**2.\nAnswer: h**3 - 1351*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j**5\/5 + 196*j**4\/5 + 1824*j**3\/5 + 7776*j**2\/5 + 13824*j\/5 + 5184\/5.\nAnswer: 4*(j + 6)**4*(2*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 1.3. Which is the nearest to 0.1? (a) -1\/5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371 - 5523 - 6598 - 2015)*(-1 - b**3 + 1 + 2*b**3 - 5 + 5 + (b - 3*b + 0*b)*(5*b - b**2 - 5*b)).\nAnswer: -41295*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.2 + -10. Let h = 10 + -11. Which is the nearest to 0.3? (a) 4 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(5) + -4 - -3*(sqrt(20) + sqrt(20)*-2)\/sqrt(4).\nAnswer: -4*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 122, 140, 176, 236, 326, 452?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, u: 3, f: 3}. Give prob of picking 2 f, 1 k, and 1 u.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103730 and 506.\nAnswer: 103730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 231882224.\nAnswer: 2086940016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**3 - 20*j**2 + 1630*j - 1609. Determine u(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -868\/57 - -46\/3. What is the third smallest value in 1\/3, r, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5378\/61847*2\/2*-1\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-16 + -2) - -19.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 28 = -70 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 36879465*t**2 - 68005207925280*t + 1700107148544500.\nAnswer: -5*(t - 3687934)**2*(t - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1371553*g**2 + 1522428 wrt g?\nAnswer: -2743106*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 4*k - 4*k)*(-29*k**2 - 65*k + 36*k + 31*k) to the form b*k**2 + o*k**3 + p*k + u and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + (12 - 52) + 31.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 13*v = 0. Suppose -3*g - 120 = -4*y + 2*g, v = 3*y + 3*g - 90. Is 11168\/6 + (-10)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 10*k + 4. Let r(j) = 11*j**2 + 41*j - 16. Let w(h) = 4*r(h) + 18*x(h). Suppose w(d) = 0. Calculate d.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = -4*w. Let z(n) = -22*n. Let d be z(w). Suppose -5*y + d = -12. Solve 0 = -6*m + m - y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/((-12)\/(-108)). Suppose z = k*z - 3*y - 149, 0 = 5*z + 2*y - 344. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 795 and 2427665?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20556 = 3*k, 3*k - 16*n - 20556 = -15*n. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1927 and 1175.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3316 (b) 20.002 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 56, -1, 3, 843, 2 in decreasing order.\nAnswer: 843, 56, 6, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26343 divided by -32588\nAnswer: 26343\/32588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*u - 9*u. Suppose 4 + 2 = 2*g. Let r(j) = -j**2 + 2*j - 2. Let o(a) = -a**3 + 2*a**2 - 3*a + 3. Give g*r(p) + u*o(p).\nAnswer: -2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -1. Let d = -0.18 - -13.18. Let u = d + -17. What is the closest to r in u, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((20\/24*6)\/1)\/1. Solve k*h - 7 = 3*l + 12, 0 = 4*l - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 59 = -5*l, -3*l + 111 = -6*q + 2*q. Let d = q - -27. Suppose d = 8*y - 4 - 28. Which is the nearest to 2\/7? (a) -4 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -59*c**2\/2 - 3. Is r(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.91085 litres in millilitres?\nAnswer: 3910.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2212754 by 2.\nAnswer: -1106377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -2*a**3\/9 - a**2\/3 + 5. Factor b(o).\nAnswer: -2*o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659652\/(-6)*(-36 + 2070\/60) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4426, 0.5, -4.\nAnswer: -4, 0.5, 4426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g**2 + 18. Let l(f) = 28*f**2 - 36. Let q(z) = -3*l(z) - 7*s(z). Differentiate q(t) wrt t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 199658223 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 282685*c**5 - 2*c**3 - 74*c**2 - 2*c - 380.\nAnswer: 16961100*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 5*j - 2*j)*(0*j**3 - 2*j**3 + 0*j**3).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 2. Let b(l) = 5*l**2 - 9. Suppose -2*m = 2, -5*w + 3*m - 15 = 8*m. Calculate w*b(i) + 9*q(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.10141 + 0.19859. Let x be 6\/(-15)*10\/54. Sort k, x, 2.\nAnswer: x, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288087583 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 587865557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 + -3 + -79 + 67. Sort 67, 9\/2, k in decreasing order.\nAnswer: 67, k, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 439*a + 217*a + 3936 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/10 + 11*w**5\/60 + 13*w**2 + 64*w + 2. Let g be 4\/6*(-2 + -1). Let i(r) = r**3 - r**2. Determine g*u(c) - 22*i(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**12)\/d*d)\/d*d\/(d\/(d\/(((d\/(d*d*d**(-2\/21)))\/d)\/d)))*d**(-1\/2)\/d**4)**(2\/13) assuming d is positive.\nAnswer: d**(479\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523618?\nAnswer: 2, 23, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43100133 (base 6) in base 7?\nAnswer: 13526316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 943 + -51. Sort -0.3, r, -6.\nAnswer: -6, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -179*f**2 + 4*f. Let s(m) = -15931*m**2 + 358*m. Give -2*s(z) + 179*x(z).\nAnswer: -179*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 119?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132939708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/72*12*3\/120?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/2, 2\/1361, -2\/11, 1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + r**2 - 82*r + 7. Calculate q(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.04946 millennia in centuries?\nAnswer: 440.4946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 10*p**2 - 20*p - 1. Let m be d(-7). Let j be (189\/98 - 2)\/((-2)\/m). Is j greater than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 1386.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 522 + -498 + (-20 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 - 4*s - 5. Is u(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**8\/560 - r**7\/280 - r**6\/120 + r**5\/40 + 14*r**3 - 68. Let g(f) be the third derivative of p(f). Let g(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354323?\nAnswer: 7, 479189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 1\/4, 2, 98, -1?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 643128 - 321563859\/500. Let y = i - 4\/125. Sort 1\/2, -425, y in descending order.\nAnswer: 1\/2, y, -425","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 1426 - 1446. What is p in 3\/5*p**h - 6\/5*p + 3\/5 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*n - 5 = 0, 4*n + 7 + 1 = 0. Let g(p) = p**3 + p**2 + 2. Let b be g(0). What is the highest common divisor of h and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12304 - -4?\nAnswer: 12312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8108850380 to the nearest 100000.\nAnswer: -8108900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {t: 1, v: 1, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (2 + (6 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + (5 + -4 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuwuuuuuuuyuuwu. What is prob of picking 2 u and 1 w?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 + -218.13. Let f = 7 - k. Which is the nearest to -1? (a) -1\/6 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -42. Let s be 1\/3 + 172\/6. Let c = s + i. What is the remainder when 34 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18819 and 33.\nAnswer: 207009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 3. Let y be 0 + 6\/(-21) - 376\/7. Let c = y - -57. Let b(z) = 2*z + 1. Calculate c*p(d) + 7*b(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/28 + 1\/140. Which is smaller: n or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 284*w - 2293. Is p(32) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -68, 2\/23, 1129 in decreasing order.\nAnswer: 1129, 4, 2\/23, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -611, -617, -625, -635, -647, -661, -677?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 3}. What is prob of picking 1 l and 3 o?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 157861 and 5763.\nAnswer: 8050911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7762, -31181, -70272, -125035?\n\"Answer: -7836*a**2 + 89*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmhppmgmmx. Give prob of sequence xg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.944 + -20. What is q rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19440 - -19357.07. Let v = i + 84. Let s = v + -0.07. Does s = 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - v + 527, 3*v + 115 = -3*u + 2*u. Let h = -104 - u. Suppose 0 = -h*g + 2*y + 4084, -2*y = 1 + 1. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7086855?\nAnswer: 3, 5, 472457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 994363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 10092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*h**2 + 154*h**2 + 2*h**3 + 2*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((300\/(-75))\/(24\/3))\/(15\/2130).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 736.\nAnswer: 9568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.42+0.403\nAnswer: -1.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 9:23 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 1. Let p be n(0). Let k be (-2)\/(p*(-1 + 2)). Suppose k*g + 75 = 7*g. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l + 3*l + 2 - l**2 + l. Let a be v(-2). Suppose 0 = -5*t - 3*f - 15, -t + 25 = a*t - 5*f. Are t and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*u + 346*u = 252 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -246 + 763. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 39, -3, -71, -171?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, q: 1, c: 5, t: 4, g: 4}. What is prob of sequence mctt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4 + 2 + i - 3*i. Calculate the remainder when 5 is divided by b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1539) + 0)**2 + sqrt(1539) + (0 + sqrt(1539))**2 + -5 + sqrt(1539) + -5*(sqrt(1539) - ((sqrt(1539) - (1 + sqrt(1539))) + -3)).\nAnswer: -27*sqrt(19) + 7670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/5 (c) -5 (d) -637\/6 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/165 and 47\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:56 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*u**2 - 268*u**2 + 79*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 7*n**2 + 7*n + 18. Let f be (-4 + (-10)\/(-3))*-3. Let k = -10 + f. Let x be m(k). What is the highest common factor of 39 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45838963 to the nearest integer?\nAnswer: 6770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 225677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88870315 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.64 + -3.74. Let o = 3 + n. What is the nearest to -1 in 1, 2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60169739 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38689.\nAnswer: 7, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*j = -6, 2*a - 11 = 3*a + 2*j. Let d be -3 - (5\/a - 2). Is d*(2\/(-4) - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 20*u**2 + 7*u - 11. Let s(o) = -7*o**2 - 2*o + 4. Let a(i) = -17*s(i) - 6*w(i). Determine a(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 34. Let y(z) = -z**3 + 16*z**2 - 27*z + 366. Let a be y(13). Calculate the greatest common divisor of a and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccffcicc. What is prob of picking 2 f, 1 i, and 1 c?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 4\/265, 0.5, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + 1293 + 14*j + 248.\nAnswer: j + 1541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 6*s - 5. Let k be a(-5). Let f = -29 + k. Let m(p) = p**3 - 10*p**2 - 11*p + 13. Let d be m(f). Solve -d = -5*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4355)\/(-195) - (18 + -2). Which is the closest to u? (a) -0.4 (b) 28\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 878*h + 6092. What is j(-7)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -191, -972, -1549, -1328, 285?\n\"Answer: 99*p**3 - 492*p**2 + 2*p + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 68 + 50 = 0. Let u be 8\/l*(-153)\/68. Let n be -5*-4*(-4)\/(-10). Solve u*r = -r + n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5056 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*q - 26644 - 5422, 4*g + 5*q = 18305. What is the remainder when g is divided by 915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - c. Let u(y) = 16*y - 18. Let m(k) = 481*k - 546. Let s(n) = -3*m(n) + 91*u(n). What is s(t(a))?\nAnswer: 39*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51749919 to the power of 1\/2, to the nearest integer?\nAnswer: 7194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143) - sqrt(143)*2*5)*4)\/((4*sqrt(165)\/sqrt(5))\/(sqrt(108)*-2)).\nAnswer: 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 947650347 by 5886027.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-12) + (15\/3)\/(-15). Which is bigger: 12\/25 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((sqrt(56) - (sqrt(56) - sqrt(56)*-1))*-4)\/(sqrt(32)*1)*3.\nAnswer: 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/16530 and -49\/159144.\nAnswer: 23075880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1862064 divided by -206896.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3842666668.4 - -0.4?\nAnswer: -3842666668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 5:38 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 divided by 6?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 53459 = c, -57*c + 2*l = -61*c + 213906. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 5. Let a(k) = 5*k. Calculate a(b(r)).\nAnswer: -5*r + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 579 + 221.18\nAnswer: 800.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*p**2 - 14\/5*p + 16\/5 = 0. What is p?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1378036.5 months to centuries.\nAnswer: 1148.36375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112))**2 + -1 - sqrt(7))*-3.\nAnswer: -333 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 6, g: 4}. Give prob of sequence zccc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2503*a - 608*a - 27*a**2 + 32*a**2 = 0.\nAnswer: -379, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-32)\/((-128)\/14)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30831549631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 4*l - 160 + 124, 15 = -5*p - 5*l for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4066.482 micrograms to nanograms.\nAnswer: 4066482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 84643927 to the nearest one hundred thousand.\nAnswer: 84600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:58 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-27)\/36)\/((-345)\/(-184)). Let j = -0.21 - -0.05. Which is the fourth smallest value? (a) p (b) -2\/11 (c) j (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -7.769\nAnswer: -3.1076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-390)\/9))\/((-11)\/(55\/9))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4 + 0 + 8*h - 12*h + 3 - 5. Let y(k) = -3*k - 5. Determine 2*p(t) - 3*y(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p**3 - 11*p**3 - 14*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68295 + 68295 + 12*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/12?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**9\/60480 + w**5\/30 - 2*w**2. Let o(v) be the third derivative of t(v). Find l such that o(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + 2 - (sqrt(2) - (sqrt(200)*4)**2) - (sqrt(162) + (sqrt(162)*1 - sqrt(162)) + sqrt(162))\/(-1*sqrt(9)*1).\nAnswer: 14*sqrt(2) + 3202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118.5 - -118. Which is the smallest value? (a) g (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 1)\/(1\/1) + 10. Solve -17*r = -14*r + m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35470 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-2)\/(-4))\/(-1). Let m = -5.8 - -7. Let i = m + -1. Which is the nearest to 0? (a) h (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20696283563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 350808799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/7 - 8*n**4\/7 + 13*n**3\/7 - 6*n**2\/7 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43 times -6026.2\nAnswer: -259126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6 and 1\/3*558\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.119 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -21*t**3 + 4*t**2 + 10*t + 13. Let w be c(-2). What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 6*f. Let h = f + 22. Suppose 2*r = 0, 0*r = -5*o + 2*r + 1035. Calculate the highest common divisor of o and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-28))\/(32\/(-168)*12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 833*r - 43059. Calculate p(-209).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 - 298.99991175. Round p to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212898397.\nAnswer: 2221, 95857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 4 (c) -2\/3 (d) -996\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4410, -13547, -28774, -50091, -77498, -110995, -150582?\n\"Answer: -3045*a**2 - 2*a - 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -59*v - 2 + 3 + 30*v - 4 + 27*v. Let n(u) = -140*u - 240. Let g(j) = n(j) - 80*p(j). Let w(h) = h. Determine g(w(l)).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-10)*i**(-5)\/i)\/(i**(-2\/7)\/i)**32)**(-34) assuming i is positive.\nAnswer: i**(-10982\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5048859763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 4*q + 273 = 0, -3*y + 2*q + 165 = 0. What is the greatest common divisor of y and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 20*k + 29*k - 2*k + k - 3*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-6) - 77\/21*(-8)\/(-88)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4588*g + 967 + 19285*g - 967)*(1 + 2*g - 1)*(5*g**2 - g**2 - 2*g**2).\nAnswer: 95492*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11149028 is divided by 117358.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 4*j**3 - 10*j**3 + 4*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24242 - 24236. Which is the fifth biggest value? (a) -3 (b) -2 (c) 1 (d) 0 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/8 + 107*u**2 - 38701*u\/2 - 1573230.\nAnswer: -(u - 458)**2*(u + 60)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116185 divided by -23237.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 + 11*w**2 - w - 14. Let r be k(-6). Calculate the greatest common divisor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013474 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3649492?\nAnswer: 2, 7, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12070642.\nAnswer: 2, 6035321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = 5*c, d - 4*c = -1. Let x(s) = 12*s**2 - 53*s - 157. Calculate the remainder when x(-3) is divided by 21 + 3 + d\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, 2\/99, -3, -26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2424)\/(-1) - (1 - 16\/(-4)). Let t = x - 12092\/5. Suppose 0*l**3 - 6\/5*l**4 + 0*l + 0*l**2 - t*l**5 + 0 = 0. Calculate l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -29*s - 7. Calculate d(6).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2 + 4*v - 4. Let f be a(3). Let b = f - -28. What is the tens digit of 24 + b\/(-1) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4539500 rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*q + 43*q + 3*q**2 - 52*q - 7*q**2 to s + b*q + g*q**2 and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317 - -313. Put -1, c, -6, 3 in decreasing order.\nAnswer: 3, -1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1737, -1929, -2455, -3483, -5181, -7717, -11259, -15975?\nAnswer: -22033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -13*y + 8*y, 0 = -4*m + y - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9. Suppose t = -45*o + 42*o + 12. Suppose -14 = -4*j - 2*x, o*j - 2*x = 7*j - 11. Solve -5*f + 3 = 3*b, 4*f + j = 5*b - 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2021, -2018, -2015, -2012?\n\"Answer: 3*i - 2024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2346 and -2\/153.\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -236, -235, -234?\n\"Answer: o - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 4141205\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 25278.29 to the nearest 10.\nAnswer: 25280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -16*a**3 + 3*a**2 - 2*a. Suppose -2*q = -4*q - 8. Let j be x(q). Suppose 0 = 6*r - r - j. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeh when three letters picked without replacement from {g: 1, h: 2, e: 5, i: 3, b: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*r**2*v**2 + 52*m*r**2*v*y + 3*m*r**2 + 43895*m*r*v**3*y - r**2*v + 69*r*v**3 + 3009*r wrt y.\nAnswer: 52*m*r**2*v + 43895*m*r*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 3*u - 4. Let b be (-1)\/(-2)*-3*2. Let t be g(b). Calculate the greatest common factor of t and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2981 - -2983. Solve 287 - 295 = -l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(312)\/sqrt(6)*-6)\/sqrt(4).\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*s - j, 3*j + 2*j - 56 = -2*s. Suppose -337 = -5*y - 4*x + 5, 2*x = -3*y + 206. What is the greatest common factor of s and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (19 - 20) - 45 - -72?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = -5*b + 2*x - 3*x, 160 = 2*b + 4*x. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1)*(19780\/920 - (-19)\/2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/32 - (61 - (-379170)\/(-7200))?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxp when three letters picked without replacement from {c: 2, p: 1, o: 2, x: 2, y: 1, z: 5}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1)*0\/1. Suppose b = 5*m + m - 978. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*d - 1570, 2*z - 3*d = 7*z - 1530. Suppose -5*q - 90 = -b - 2*q, 4*b = -5*q + z. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 27*s**2 - 28*s - 15. Let b = 519 - 263. Calculate the remainder when b is divided by w(-26).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -0.4, 22\/3 in descending order.\nAnswer: 22\/3, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -11f?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 605*n - 610.\nAnswer: 5*(n - 122)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*j**4 - 2*j**2*u**2 - 393*j*u**2 - j*u + j wrt j?\nAnswer: 2868*j**2 - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q + 1. Let z(v) = 8*v**2 + 2*v - 1. Suppose 0 = 4*x - 5*r + 9, x - 24*r - 1 = -26*r. Give x*z(n) + 2*b(n).\nAnswer: -6*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*k + 107, 4*k + 12 + 4 = 0. Suppose -5*y = -85 - 25. What is the remainder when i is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/7, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, -3, 3, 2 in descending order.\nAnswer: 5, 3, 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49284093 and 3852.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25117 - -6?\nAnswer: -25111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23469 divided by 4\nAnswer: -23469\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 0.1, -3, 0.11, -3\/2 in increasing order.\nAnswer: -3, -3\/2, 0.1, 0.11, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-85)\/(-180) + 4\/(-18). Which is the nearest to g? (a) 6\/5 (b) -1\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d. Let q(o) = -11*o. Let p be (14\/(-6) - 1)\/(194\/(-291)). Give p*j(u) - 8*q(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1, 4, 0.04, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -407 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/12 and 157\/183722220.\nAnswer: 183722220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -151*v. Let r(b) = 4*b + 1. Let i(h) = -26*h - 6. Let a(f) = -i(f) - 6*r(f). What is a(x(s))?\nAnswer: -302*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2601, 361, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 16*j - 4. Is s(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -109, -403, -879, -1531, -2353, -3339?\n\"Answer: t**3 - 97*t**2 - 10*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6644572 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3 = 3*a, 5*a = 1682*c - 1683*c - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let g = -5 + 5.1. Which is greater: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-34788)\/(-4368))\/(-223))\/(-2*2\/8).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*f. Suppose 12 = f*c + 2. Calculate the least common multiple of 2\/(-2) - (2 - c) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 - (-140 + 36 - -100).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**8\/20160 - d**7\/5040 - d**5\/30 - 9*d**2. Let r(f) be the third derivative of h(f). Suppose r(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4 = 0, -w + 17 = -6*c - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 9223 - 3178 = 0. Let x = c - 404. Sort x, -4, 6, -3.\nAnswer: -4, -3, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (69 - 11) - 55.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 1 + 1)*(3*l - l - l) + (-24191 - 12*l + 24191)*(-2 - 2*l + 2) + (-2 + 3 + 1)*(-l + l - 2*l**2) to i + v*l**2 + f*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -5, -0.2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27*o**3 + 25*o**2 + 6. Let z(l) = l**3 - 1. Let u(j) = t(j) + 6*z(j). What is the third derivative of u(p) wrt p?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/(n\/(n*n**11)) assuming n is positive.\nAnswer: n**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 19 = d, -5*a + 26 = -0*d + 2*d. Calculate the least common multiple of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200095193798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 18259904*q + 41678011761152.\nAnswer: 2*(q - 4564976)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**(2\/15)\/(t\/t**(-1\/2)*t**(-9\/4)*t) assuming t is positive.\nAnswer: t**(-29\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0149*-116.\nAnswer: -1.7284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70.39 + 70.19. Sort -0.4, l, 15\/4.\nAnswer: -0.4, l, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 3*q + 4*q)*(2*q - q + 2*q)*(17 + 16 + 5)*(-4*q + 4*q + 2*q) + (q**2 + 4*q**2 - 4*q**2)*(-2*q + 2*q + 2*q).\nAnswer: 458*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 + 48*c - 231. Let j(w) = w**2 - 10*w + 46. Let b(v) = 11*j(v) + 2*o(v). Let z be b(-10). Calculate the greatest common divisor of z and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 21.44. Let m = 36387 - 36386.56122. Let o = b + m. Round o to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*i - 80 = 0, -7*i + 56 = 3*h - 3*i. Suppose -60 = h*t - 7*t. Let p = 2 - t. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1874662 is divided by 156165.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*p - 624, 0*p + 318 = 2*v - 4*p. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 30. Put 2, 13, h in decreasing order.\nAnswer: 13, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -41*d + 278. Suppose 4*x - 4 = 4*y, 21*y + 1 = 20*y. What are the prime factors of r(x)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10466.042 + 10492. Let p = 0.042 + j. Let z = 0.009 + -0.109. Is z at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + -1 + 1. Suppose -8*q + 3*q - 220 = -v, 0 = -q + 5*v - 44. Let h be 1\/(5\/((-40)\/q)). Which is greater: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.4, 2\/89, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 728 - 107. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94231*k**3 + 83289*k + 94233*k**3 - 83289*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1\/2 (c) -4 (d) -6\/5 (e) -0.5 (f) -1 (g) -36.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*((-1 + sqrt(1573))*-2 + (sqrt(1573) + 2)*-4 - (sqrt(1573)*-1 + 0 + -5*(sqrt(1573) + 1)))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -9 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 11 + 17 = -2*n, 5*m = -20. Let z be n\/10 + 8\/(-5). What is the units digit of z\/(-4) + (-76)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4406 - 2586. Let z = 4620 - y. What is z rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x**4 - 12*x + 13*x + 1 - 11*x**4 - 3*x**3 - 2*x**2 to the form b*x**4 + r*x + g*x**2 + o + l*x**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3073 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + 100\/(-6). Let u = t + 22. Let n be 3 + (u - -3) - 1. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209235982 a multiple of 2116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(-3*sqrt(12)))**2 + 5.\nAnswer: 64\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 0.1198502204.\nAnswer: -1.8801497796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -102*m - 16. Let b(y) = 20*y + 3. Let z(f) = 3*a(f) + 16*b(f). Let p(k) = 21*k**2. Calculate p(z(x)).\nAnswer: 4116*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1697.37 and -11.\nAnswer: -1708.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1\/(-1) - 0\/15. Suppose -4*t = -4*j + 8, -j - 2 = -z*t + 6*t. Which is the closest to 0? (a) -1\/3 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*t - 892, -669 = -5*t + 2*t + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1306 (base 9) to base 4\nAnswer: -33102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -141, -169, -195, -237, -313, -441, -639, -925?\n\"Answer: -3*r**3 + 19*r**2 - 64*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306 (base 13) to base 14.\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.512 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 40*k + 1041*k**3 - 1037*k**3 + 4*k**2 + 0 as a + w*k**2 + u*k + t*k**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 313 + -262. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 3\/17, 2.5, 13, 2\/7?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128761\/270 + -4743\/10. Let x = w - 493\/189. What is the common denominator of 7\/9 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15077308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41463.9 - -45000. Round g to the nearest ten.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4109 + -1.6109. Which is the nearest to -1? (a) n (b) -59 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*g**3 - 26*g**3 + g - 7*g**2 - 4*g - 31*g**3 - 4 as q*g**3 + l*g + r + v*g**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 820338, 1640714, 2461100, 3281502, 4101926?\n\"Answer: w**3 - w**2 + 820372*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50478434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-4))\/((-27)\/(-198)) + (-299)\/23\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0 - 2 - 2*4011. What is the hundreds digit of 44\/110 - d\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5746377 and 253461?\nAnswer: 3783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 4*n - 6. Let w(u) = -10*u + 6. Let d be w(3). Let t be (-114)\/d + 2\/8. Is i(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = -59*j. Sort 6, 2, j, 22 in ascending order.\nAnswer: j, 2, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o + 57*o - 16*o - 21*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**2 + 8*c - 2. Let d(q) = q**2 - q. Give 6*d(f) + r(f).\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**2 + 2*h - 9*h**2 + 194 - 100 - 93 - 17*h**2 as c + u*h**2 + f*h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t + 7. Let n(x) = 25*x + 28. What is -9*a(u) + 2*n(u)?\nAnswer: -4*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*j + 63, 63 = 3*s - 6*j + 7*j. Let q(n) = -n**3 - 10*n - s*n**2 - 3 + 28*n**2 + 4*n. Calculate q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 16488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 14. Let f(a) = a + 7. Let c(b) = -3*d(b) + 7*f(b). Let h be c(-11). Let k be 39\/18 + -3 + 0. What is the third biggest value in h, k, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2375\/(-1045)*-11 + 318\/(-14)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhkkkhvhhkhkksskhhh. What is prob of picking 1 v and 2 h?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 13 + 23. Let h(i) = i**2 + 4*i + 1. What is the remainder when q is divided by h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 263447915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -25. Sort -2\/5, r, 0.2, 0.\nAnswer: -2\/5, 0, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(5 + -2)*19\/((-114)\/(-4)). Let y(m) = 19*m + 29. What is y(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2823765 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100111001010010100111 (base 2) to base 3\nAnswer: -2102012021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 5529*d + 5530.\nAnswer: -(d - 1)*(d + 5530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 309 divided by 5879\nAnswer: 309\/5879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -14\/11, 45 in increasing order.\nAnswer: -14\/11, -0.1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 1\/12*z**4 + 18*z**2 - 26 + 2*z**3 - 25*z. Let b(y) be the first derivative of h(y). Factor b(s).\nAnswer: (s + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 149 = -151. Which is smaller: u or 1\/93?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -7*b - t, 4*t + 24 = 4*b. Put b, 4, -2\/7 in increasing order.\nAnswer: -2\/7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 542299*g. Let z(i) = -3*i**2. Calculate z(j(b)).\nAnswer: -882264616203*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**2\/2 - o - 117. Let f(d) = -d + 4. Suppose 5*w = 3 + 2. Calculate w*f(a) + 2*b(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = 0, 3*f - 53 - 65 = 5*g. Suppose -47*q = -f*q - 77. Solve 0 = -3*x + 3, 3*c + q = -5*x - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65060033.4209453 - 65060022. Let w = -6.4209446 + r. Let i = w - 5. Round i to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, 1 c, and 1 h when four letters picked without replacement from hpqwqwqhycwhqqwq.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 114*n**3\/7 - 8246986*n**2\/7 + 21307250970*n + 2616682482\/7 = 0. Calculate n.\nAnswer: -1\/57, 36171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from jefteuj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + 10?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -723, -265, 351, 1005, 1577?\n\"Answer: -20*b**3 + 199*b**2 + b - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1745076 and -143\/6980304.\nAnswer: 6980304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7672 (base 15) to base 5.\nAnswer: -1300312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 + 5*l - 1. Let j be a(-5). Which is smaller: j or -3\/29?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 0.154, 4?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 310, 3, -20, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 13208670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219104\/62 + 60\/930.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2602496 by 2944.\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23 + 24)\/(3\/15) - (1 - 8). Which is the second biggest value? (a) -2\/19 (b) -9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9725626\/9 or 1080626?\nAnswer: 1080626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 1\/12*a**4 + 0*a**6 + 0*a**3 - 1\/21*a**7 - 2*a + 0 + 0*a**2 + 0*a**5. What is the third derivative of o(g) wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2984*f - 6223*f + 1722*f as n*f + l and give n.\nAnswer: -7485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*p**3 + 346*k**2*p - 3*k*p**3 - 374*p**2 wrt p?\nAnswer: -12*k**2*p - 18*k*p - 748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204\/11 + -353\/22. Let n(q) be the first derivative of -6 + 1\/3*q**3 - k*q**2 - 5*q. Give n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20232)\/27819 + 552\/33?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 5, -4, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1874944 by 590.\nAnswer: -937472\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11426 (b) 0.15 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130886394 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(((-161)\/69)\/((-14)\/6)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 2*k**3 + 0*k + (-2 + 2 - 2)*(3*k**3 - 2*k**3 + 0*k**3) + 0*k + 0*k**3 + 2*k**3 + 7*k.\nAnswer: -2*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2. Let t(x) = -64*x. What is t(i(p))?\nAnswer: -512*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1956 and 30.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**4 - 111700*h**3 + 625961570*h**2 - 23629638060*h + 23003788185 = 0.\nAnswer: 1, 37, 11151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261 + -258. Find the third derivative of -55*u**2 - 721*u + 87*u**s + 721*u wrt u.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/826 and 3 - 195\/42 - (-10)\/(-80).\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 42 = 17 - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 16849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 3*y + 7*y + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (15 + -16)) + -1 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 65*q - 33*q - 5757. Calculate the greatest common factor of 7373 and q.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 3 + 7*y**2 + 0*y**3 - 2*y + 9. Let o(c) = c**2 + c + 1. Let k(i) = i - 9. Let r be k(12). Let x(l) = r*o(l) - g(l). Determine x(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/43 (b) -0.015 (c) 46 (d) -4 (e) 6\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32.67351km?\nAnswer: 32673510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -3.68. Put t, 1, -1 in increasing order.\nAnswer: -1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1155 + 295 - 223)*(4 - 4 - 2*g) as m + r*g and give r.\nAnswer: 2166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, 0.2, 1 in descending order.\nAnswer: 159, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 3*k - 86. Let s(l) = 3*l**2 - 2*l - 94. What is 3*i(f) - 4*s(f)?\nAnswer: -3*f**2 - f + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 704*w - 3*w**2 + 705*w - 2 in the form p + q*w**2 + u*w and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 1, o: 5, t: 3, l: 5}. Give prob of sequence ll.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5883480 and -41\/4118436.\nAnswer: 41184360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**2\/2 - 6*f - 6. Let r = 18 + -8. Suppose r = 2*x - 2. Determine t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:09 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (7 - 26 - (-13 - -3)) + -55.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(11) + sqrt(11) + 5.\nAnswer: 2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 40900*n + 818795. What is g(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34832 and 43540?\nAnswer: 174160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(95)*1)\/(-6*sqrt(45)) - (sqrt(38)\/(-6*sqrt(4)\/sqrt(2) - sqrt(2)) + 2).\nAnswer: -2 + 25*sqrt(19)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/654851 and 58\/141?\nAnswer: 1964553","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((111\/(-148))\/((-9)\/8))\/(-11).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -3\/2033 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 - (0 + (-5 - -6)) - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ger when three letters picked without replacement from egggreggggeerg.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2932 is divided by 685.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-360) + -2*678\/(-216).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - -1033?\nAnswer: 100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 1:32 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 12*k**2 - 32*k - 27 + 8*k**3 - 39 - 26 + k**4 + 28 = 0?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 264380 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33499 = 1134*x - 21367 - 7504 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7105, -14029, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1240561 years?\nAnswer: 0.001240561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 105. Suppose 2*w - 3*w + 4*j + 18 = 0, -3*w + 26 = 2*j. Calculate the remainder when n is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, h: 10}. Give prob of sequence xh.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*o + 9 = 0, -11*o + 14*o = -w - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**5 - 2*x**4 + 2*x**4)*(0 + 2 - 3) + 5781*x**5 + 14864*x**5 - 5637*x**5.\nAnswer: 15007*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -16197*p**2 + 34*p - 33. Let l be d(1). Is (-5 - -7)\/((-8)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2736 and 0.4.\nAnswer: -1094.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f**3 + 6*f**2 - 5*f. Is c(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**3\/3 - 1. Let k(f) be the second derivative of 5*f**3\/6 - 4*f - 4. What is k(j(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -838.042 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9820497 is divided by 209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t - 40 + 0*t**3 - 9\/2*t**4 - 19\/2*t**2. Find the second derivative of d(g) wrt g.\nAnswer: -108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from jadjppapbpdlbbpbb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 - 174. What is the remainder when v is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(12)*-2*3)\/(-6*(-1*sqrt(24) - (sqrt(6) + (sqrt(144)\/sqrt(3))\/sqrt(8)))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174926 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4421.\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -0.35, 5 in increasing order.\nAnswer: -0.35, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 968\/(-154) - 2\/(-7). Let y(u) be the first derivative of u**4\/4 + 7*u**3\/3 + 2*u**2 - 8*u + 10. Calculate the smallest common multiple of 39 and y(r).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 56*l + 545. Suppose 3*o + 83 = 4*o. Calculate the remainder when o is divided by c(-44).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(56\/15))\/(2910\/(-3395))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -49 - (3 - 4 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 1, 0, -54 in descending order.\nAnswer: 4, 1, 0, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2210111754\/1183 + 223238880990217\/119492464. Let y = -3\/11984 + t. Let m = y + -3351\/826. Calculate the common denominator of 16\/3 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -134395a9?\nAnswer: 134395a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*w - 18 = 0, 2*k + 2*w + w = 24. Let u be ((-3)\/(-9))\/((-2)\/k). Let n = 0.46 + 0.04. Which is the nearest to 0.1? (a) n (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 12:48 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 3, p: 4, s: 1, n: 7}. What is prob of sequence pnas?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103712 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1125, 2259, 3399, 4545, 5697, 6855?\nAnswer: 8019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65795 + -131587\/2. Suppose -21\/2*y - j*y**4 - 27\/2*y**2 - 3 - 15\/2*y**3 = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = 6. What is the highest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -103?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (2 - 4 - 1)) + 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, -4, 1682, -1, -6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5258 + 368 = h, 4*f = h - 5642. List the prime factors of h.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(16\/(-12)) - 6. Let a be (-1916)\/16*(-1 + u). Let v(f) = a*f - 479*f - 4*f**2. Let d(p) = -2*p. Determine v(d(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -13, 2\/9, 0.056, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21761.\nAnswer: 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4789 - -7.178995. Let b = -3.7 + o. Round b to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325998 = -121*u + 103*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -27926231?\nAnswer: -27926231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17*2 + -6 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 + -3)\/(-7 - -9))\/((-62)\/3038). Calculate the highest common divisor of 2989 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 + 366*y**2\/11 + 3510*y\/11 + 8650\/11.\nAnswer: 2*(y + 5)**2*(y + 173)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 10 = -8. Suppose -i*r + 308 = 86. 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(h) = -2*h - 5. Let p be v(-4). Let o = p + -2. Are o and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - n - 16 = n, 0 = -5*n - 5. Suppose -2 = -q + f. Let s be 6*3\/q*2. What is the nearest to 2\/5 in s, -0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-8485)\/5 - 6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7006 is divided by 333.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*q**4 - 3*q + 102?\nAnswer: 68*q**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.92 - -44.08. Let i = 45.2 - n. Let f = 106\/3 - 35. Which is the nearest to 0.1? (a) i (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5))\/((-2)\/(-20)). Let c be 4\/(-8) - 18\/x. Suppose 1839996 = -c*t + d, -5*t - 431393 = -3*d + 1868595. What is t rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-76))\/((11235\/428)\/35).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 1323 = 14*l. Let x = 63 - l. Solve x = -d - 0*s + s + 4, -d = -3*s - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/50)\/((6\/(-27))\/((-80)\/72)). What is the nearest to 50 in c, -5, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61*(-4)\/(4\/2))\/(((-11972)\/(-73))\/(-82))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -14*m**2 + 0 + 0*m + 0*m**3 - 23\/12*m**4. Let u(f) = 2*f**2. Determine u(w(b)).\nAnswer: 4232*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/38325 (c) -6 (d) 7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -1\/4, 1, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*y - 11*y**3 - 51*y**3 + 107*y**3 - 8415 - 92*y - 40*y**3 wrt y.\nAnswer: 15*y**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/9 + 7300*k**2\/9 + 21819*k.\nAnswer: k*(k + 27)*(k + 7273)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 1327 - 235 = 0. Suppose 3*l - n = 61. Suppose 45 = 2*k - l. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*u**6 + 779*u**4 - 127065*u**2?\nAnswer: -2640*u**3 + 18696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32592.7 + 30963. What is x rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268514 is divided by 1978.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + y)*(-2*y**4 - 1 + 1) - y**5 - 4*y**5 + 0*y**5 + (y**4 + 5 - 5)*(-22*y - 5*y + 2*y).\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450 - 350454?\nAnswer: -351344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3128*v**2. Let i(n) = -3*n**2 - 4*n. Give i(k(q)).\nAnswer: -29353152*q**4 + 12512*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 10. Let f be w(6). Let b(g) be the first derivative of g**2 - 4\/3*g**3 + 1\/2*g**4 + 0*g + f. Suppose b(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237 (base 10) to base 16.\nAnswer: ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2165*c + 0 - 2431*c to the form s*c + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -208, 16?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (58*l - 61*l - 42*l**2 + 68*l**2)*(2 + 3 - 6) as v + c*l**2 + w*l and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3061.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 64 + 524 = 0. Suppose -5*m = -10*m + 20. Suppose 172 = m*w - 5*t, 6*w + 4*t - 129 = 3*w. Which is bigger: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)\/(2\/(-24)). Suppose -11*c = -9*c - t. What is the lowest common multiple of c and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8354.03 + 7996.2. What is y rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((6*(-2 + sqrt(112)))**2 - (((sqrt(7) + -1 + sqrt(7))*-2)**2 - (sqrt(448) + 1)**2)).\nAnswer: -544*sqrt(7) + 4508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2799 - 8395\/3. Determine w so that 56*w + c*w**2 + 1176 = 0.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -28271*q**3 + 221*q**2 - 442*q. Let b(z) = 257*z**3 - 2*z**2 + 4*z. What is -663*b(y) - 6*f(y)?\nAnswer: -765*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627813?\nAnswer: 109, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*q - 32 + 152 = 0, 0 = 4*u - 2*q + 228. Let w = u - -71. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 39 = 3*d, -1619*d + 3*n = -1616*d + 45 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 211023201103?\nAnswer: -211023201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 210*t**2. Let c(a) = -2*a**2 + 240 + 214 - 454. Give l(c(m)).\nAnswer: 840*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2656, -2655, -2652, -2647?\n\"Answer: x**2 - 2*x - 2655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 - 3*y + 23. What is g(-10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 383 = -174 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o - 13*o - 10*o)*(3 - 1 - 1)*(5*o**4 - 2*o**4 + 0*o**4 + (-2 + 2 + 2*o**3)*(4*o + 3*o - 5*o) - 2*o**4 + 3*o**4 + 0*o**4 + 0*o**3 + 0*o**3 + o**4).\nAnswer: 27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 3*c + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/25 + -58\/325. What is the biggest value in 0, 2\/15, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98913*h**4 - 186436 wrt h.\nAnswer: 395652*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 36 = -4*p - 3*s, -s = 5*p - 31. Solve 2*q + 4 = c + 3, c - p = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -752 divided by -347304?\nAnswer: 94\/43413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 28 = -o - 3*o + 34, u - 1863 = -623*o for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.184 (b) -12 (c) -80 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.9999704 - 15. What is d rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.86. Let p = u + 4.86. Let l = -8 + 5. What is the nearest to -1\/5 in -1\/2, l, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000226473 to 7 dps.\nAnswer: -0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -4\/35*w**5 + 23\/42*w**3 - 3\/14*w**2 - 103*w + 0 - 10\/21*w**4. Let z(b) = 0. Calculate b.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8. Suppose y - 2*y + 1 = p. Let s be -2 + -3 + 76 + y. What is the highest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 18*a. Let c be g(6). Let w(z) = -63*z + c + 106*z + 0. Let y(s) be the second derivative of s**3\/3 - s. Give y(w(h)).\nAnswer: 86*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89079 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395439559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*l, 44*v - 2*l = 39*v + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -131285.41 rounded to the nearest 100?\nAnswer: -131300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 100*f + 1175. Give g(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631625964?\nAnswer: 2, 3, 37, 61, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*(-12)\/(-180))\/2. Sort 4, 6, 32, m in ascending order.\nAnswer: m, 4, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 33*m**2 - 30*m - 167. Let u be o(-32). Which is greater: -242 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.76478 millilitres to litres.\nAnswer: 0.08276478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/4 + 7*k**3\/3 - 26*k**2 + 5*k. Let r be o(6). Let h = -68 - r. Solve j = 2*b + 5, 5*j - 5*b - h = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-3\/8)*(l*l**31*l*l)\/l*l\/l**(-10) assuming l is positive.\nAnswer: l**(1405\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-2)\/4 + -1. Let x = v - -1. Let q(w) = -44*w - 1. Is q(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34354 by -17177.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {i: 3, g: 3, o: 4, c: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454674277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 20 (b) 3702 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -36*m**2 + m - 3. Let d(f) = 1994*f**2 + 6*f - 3800. Let y(o) = 12*a(o) - 2*d(o). Find the first derivative of y(h) wrt h.\nAnswer: -8840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*j + 10 + 8 = 0, 3*j - 19 = -2*q. Differentiate 3*u**2 + 0*u**2 + 3 - u**q with respect to u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/246? (a) -753 (b) -8 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from alhhknllnhhhhnhklhn.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3)\/(1\/218). Let u = w - -16. Is u\/4 - (-6)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-666 - -681)*(-15)\/9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -5*g - 50, g + 21 = -3*c + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/231, -3 in descending order.\nAnswer: 2\/231, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-110)\/3*12\/(-5). What is the hundreds digit of (-2 - t\/(-12))\/(2\/57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j + 1. Let u(a) = -5*a**2 + 4*a + 4. Let r(m) = -u(m) + 4*z(m). Let t(o) be the third derivative of -2*o**5\/15 - 54*o**2. What is r(t(c))?\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 3*d**2 - 4. Let u(a) = 14*a + 3. Let z be u(-4). Let t = z - -11. Let x be 18\/48 - t\/16. Give f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37125616 by -11884.\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 + 2*z - 5. Let y be s(-4). Let f(l) = -l**3 - 18*l**2 - 18*l - 16. Let x be f(-17). Let a = x + y. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -174*c + 10 + 0 - 3. Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 5*c - 8. Let a(o) = -o + 1. Let u(x) = -6*a(x) - g(x). Let p be u(2). Is -8 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167721150 divided by -3\nAnswer: 55907050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 + 7*p + 48 + (4 + 15 - 7)*(5*p - 11*p + 16*p).\nAnswer: 127*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -1195aa?\nAnswer: -119590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18564.\nAnswer: 2, 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 405 - 229. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*i**(-3)*(i\/(i\/i**(2\/9)))\/i*i*i**(-2\/11)*i assuming i is positive.\nAnswer: i**(301\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 + 15 + 67 + 40)*(4*c**3 - 3*c**3 + 2*c**3) to o + y*c**2 + d*c**3 + b*c and give d.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1586*v**3 - v**2 + 2. What are the prime factors of j(-1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((-60)\/5)*(-11)\/(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*8\/96 + 1\/(-3). Which is the smallest value? (a) 5 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1 - 123218\/22. Let x = 5608 + o. Find the common denominator of 57\/8 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 2:34 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -11*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001529489723 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**2 - 209*d + 1. Calculate g(-30).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j + 8. Let o(p) = p - 1. Let d be o(j). Let v = 0.6 - 1.1. Which is the biggest value? (a) v (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 500*k - 5*k**2 - 176*k - 184*k - 260 = 0. What is k?\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*1)\/(3*sqrt(12)\/sqrt(2) - sqrt(6) - sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3) + 2 - -1. Let o be 6 - (h - 2 - -2). Suppose -5*u + 0 = -2*c + 1, -2*c + 2*u + o = 0. What is the smallest common multiple of 4 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -918 - -382. Let u = s - -762. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(51)\/sqrt(12)*-6*-5.\nAnswer: 5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6406360 and -67\/280?\nAnswer: 44844520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + x + 4. Let m be q(-2). Suppose 10*a - m*a + 452 = 0. Let n(k) = -k**2 + a - 227 - k**2 + 112. Determine n(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 514*s**2 - 2*s + 14. What is the tens digit of z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1984 = 2*j + 4*g, 2*j - 2*g = -0*g - 1966. Let n be (j\/4)\/((-6)\/(-36)*-1). Suppose -5*f + n = 299. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -24*o**3 - 5*o + 199. Let n(y) = 13*y**3 + 3*y - 198. Calculate 2*m(r) + 3*n(r).\nAnswer: -9*r**3 - r - 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117741391 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 1, x: 2, s: 3, o: 12}. Give prob of sequence rs.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 41 + 2*r**2 - 18*r + r**2 + 5. Suppose 7*l + 616 = 63*l. What is the tens digit of m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7*h\/h**(-5))\/(((h*h**(-19)\/h)\/h)\/h**(-19)))**(-16) assuming h is positive.\nAnswer: h**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81789016861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195596 to the power of 1\/2, to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -47114 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**3 + 0*j**3 + 3*j**3)*(1126*j + 1123*j - 2256*j + 21) in the form c*j**3 + h*j + z*j**4 + w*j**2 + i and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(16\/(-10))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.8 and -0.21.\nAnswer: -14.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*x - 25, 5*t + 5*x - 40 = 2*t. Suppose d + v = 15, t*v = d - 13 - 20. Calculate the least common multiple of d and 52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k - 44 = 56. Suppose -30 = -5*o - k*g - 0*g, -4 = -3*o - 4*g. Solve o*r + 32 = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/8 + 25*w**3\/8 - 27*w**2\/8 - 25*w\/8 + 13\/4 = 0.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7075596505?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(2\/(-7)*7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7133123 and 22809?\nAnswer: 7155932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65.76 - 210.7.\nAnswer: -276.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1005 divide 242750715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -282739\/13 - -21749. What is the fourth biggest value in 0.1, p, 8\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*w - 2*k**4 + 37*k**3*w + k**2*w - w + 22 wrt k?\nAnswer: 48*k*w - 48*k + 222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308357023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29370 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5910, 23607, 53102, 94395?\nAnswer: 147486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 - 100?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, m: 7, u: 1, r: 5, d: 3}. What is prob of picking 2 d, 1 m, and 1 e?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2071 - -82. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19136.229 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -397348 + 0.1\nAnswer: -397347.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11543)\/(-112) - (2218 + -2115)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 25*k - 49 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3620*h**2 + 15*h - 10. Let i(q) = -1811*q**2 + 9*q - 6. Determine 3*b(l) - 5*i(l).\nAnswer: -1805*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4641037*q**5 + 2*q**4 - 10515*q**2 - 3774*q wrt q.\nAnswer: 278462220*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 1:15 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.14 - 2.22. Let t = -0.08 - l. Let i = -14 - t. Which is the third biggest value? (a) 4\/3 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -422, -1486, -3260, -5744?\n\"Answer: -355*d**2 + d - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((162\/(-24))\/(-9))\/((-18)\/(-240))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/20 - a**4\/2 - 11*a**3\/6 - 5*a**2\/2 - 60*a - 53. Calculate z(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87501856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from zkkiz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.3344 millimeters in nanometers?\nAnswer: 730334400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*(-22)\/(-121)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2\/2 + 13381*o\/2 + 33465 = 0.\nAnswer: -5, 13386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*n + 9, 2*i + 5 - 11 = -3*n. Which is the closest to 0? (a) -10 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llzl when four letters picked without replacement from hullhluhuhrhllz.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 2. Let x(s) = 6. Let b(c) = -6*r(c) - 2*x(c). Let l(j) = 728*j + 22. Let n(f) = -267*f - 8. Let p(m) = 4*l(m) + 11*n(m). What is p(b(u))?\nAnswer: -150*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-228)\/945 - (-994)\/(-22365). Let i = 0.6 + -0.9. Sort 2\/9, i, j in increasing order.\nAnswer: i, j, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 0.089678. What is x rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -15*k - 0*c - 3*c, 25*k + 22 = 59*k - 37*k + 4*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f + 27 + 36 - 24*f + 44.\nAnswer: -53*f + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33335 divided by -295?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 98. Let k = -83 + 169\/2. What is the second biggest value in k, -1\/4, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -l - 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3519*g - 4194*g + 12150 = 0 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -180. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + g**2 - g - 2. Let l be w(-2). Does 19 divide (-9)\/(-6) + (-206)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 15. Let v be f(-12). Find the first derivative of -97*a + 97*a - v*a**2 + 3*a**2 - 42*a**4 - 275 wrt a.\nAnswer: -168*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151125\/(-7750)*62\/(-39).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8518 + 37*p - 8518.\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/7137025?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16177551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w**2 + 3*w + 2. Suppose -5*p - 20 = 0, 11 - 15 = 4*v - 3*p. Let i be f(v). What is the highest common divisor of i and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 8*r + 1 = -46 + 17, -2*r - 13 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -246*o + 245*o + 2, -5*l - 35*o - 19 = -32*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 6. Let j(s) = -7*s - 13. Let u(r) = r**3 + 6*r**2 - 11*r - 37. Let z be u(-7). Determine z*v(w) - 4*j(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -3. Let o = n - -1. Suppose -o*m - 1 = -3. Sort m, -4, 4 in increasing order.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1171 - 256?\nAnswer: -1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3 (b) 0.1 (c) 8 (d) 4 (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2\/3, -2, -1, -638\/637, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178\/2848*16*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17821 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117\/2552 - 1\/88. Sort 2, w, 12 in decreasing order.\nAnswer: 12, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6630594 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1452 - 1451. Which is smaller: u or 686?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) 4 (b) -243\/8 (c) 360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-387)\/((-36)\/8 + 3). Suppose 4 = -v, x - p = -x - v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(912) + 2*sqrt(912)*-1)\/(sqrt(15)\/(sqrt(5) - sqrt(35)\/(sqrt(7)*2))) + -3.\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19610323 to the power of 1\/2, to the nearest integer?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/65 (b) -83 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-56)\/(-1400)*(-1)\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479631.\nAnswer: 3, 29, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 20. Suppose 0*z = -4*z + k. What is the first derivative of -3*b**z - 2*b**4 + 10*b**4 - 2 - 3*b**4 wrt b?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048991416 rounded to five dps?\nAnswer: -0.04899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5487.12 and -12.\nAnswer: 5475.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27025 + 27000.2076. Let a = q + 24.8. Round a to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/10 + 14\/5. Let y = -110.7 + 111. What is the closest to 1 in q, y, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-2 - -5) + -2). Suppose c = -11*s + 7*s + 24. Suppose s = -5*f + 11. Solve -3 + f = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*n + 20*n - 2 - 37*n - n**3 - 2*n**4 in the form b*n + x*n**4 + q + g*n**3 + k*n**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 19*y**2 - 15*y - 52. Let f(i) = -132*i**2 + 105*i + 372. Let o(b) = -15*a(b) - 2*f(b). Factor o(s).\nAnswer: -3*(s + 1)*(7*s - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 2077141 = 2077401 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/8*-2)\/(63\/(-56)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 h, and 1 a when four letters picked without replacement from sshdashshdshddxs?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*v - 5, -4*d - 21 = -4*v - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i = -25. Let l be (104\/234)\/(4\/(-6)). What is the closest to l in -2, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q = -58*q + 42 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 493\/6. Which is the biggest value? (a) i (b) -65 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjqqqqqj. What is prob of picking 1 j and 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x + 2 - x + 4*x + 4*x**2. Let f be l(-6). Let j = f - 460\/3. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1474 = 12*d + 1450. Solve 7 = d*y - 3*m, -m - 4 = -5*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 4611675*i.\nAnswer: -3*i*(i - 1537225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2043, -1 in ascending order.\nAnswer: -1, 2, 2043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 1450. Suppose 2*k - 2*d - 722 = k, 0 = 2*k - d - y. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from ssysllsqyyynlyqss?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**5\/20 - x**4\/12 - x**3\/6 - 8*x. Give l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/31 + -55\/217. Let h = 0.3 + 0.1. Which is the third biggest value? (a) h (b) r (c) 2\/3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27226 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3 - 2. Suppose 0*o = b*o. Solve 0 = 2*i - 0*i + d + 10, -2*i + 5*d - 10 = o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 22*o**2 - 7*o + 35. What is the units digit of w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 - 4*q**2 + 4*q - 4. Let p(v) = 4*v**3 + 5*v**2 - 4*v + 5. What is -4*p(g) - 5*s(g)?\nAnswer: -g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5221493 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 336, 323, 294, 243, 164, 51, -102?\n\"Answer: -r**3 - 2*r**2 + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10722 greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*o + 8 = 0, -2*p + 14*o = 9*o + 16. Which is greater: p or 26\/27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 0.16.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12805 + -12805.5. Which is the second biggest value? (a) -4 (b) 0.3 (c) -4\/5 (d) f (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 77*z - 21*z.\nAnswer: -98*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2 - sqrt(17))*-4 + -2.\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 100*b + 58. Give g(-34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 4. Let d be w(-2). Suppose 3*n - 2488 = 5*t + 1758, 2*t + 2836 = 2*n. Suppose -d*c + n = 7*c. What are the prime factors of c?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, f: 7, q: 1, k: 1}. What is prob of sequence kf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 128 and 17.034 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 9*x**2 - 8*x - 2. Let v be r(-8). Let l be v\/6 - 26\/(-6). Suppose 3*u = -3*m - 126, 5*m - 3*u + 202 = -l*u. Round m to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4 + 7*q**3 - 448*q**5 + 36 + 3*q**2 + 445*q**5 - 60*q + 20*q**3 = 0?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -13 + -3 + 5. Let r = 13 + l. Suppose 8*t - r*t = 140. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 22. Is s(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 489 + -1537\/3. Let q = 110611 - 110611.5. Sort c, q, 3\/8.\nAnswer: c, q, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -44995, -1, 1757 in decreasing order.\nAnswer: 1757, 1, -1, -44995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 788.61886002835 and -0.8.\nAnswer: 787.81886002835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5262 + 2.4262. Which is the smallest value? (a) 5 (b) -1 (c) -240 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*2*sqrt(78) + sqrt(78))\/(sqrt(24)*-2).\nAnswer: 27*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*w - 3\/4 - 3\/4*w**2 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 13, t: 1, y: 2, w: 3}. Give prob of sequence eyty.\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 59131128 + -0.6\nAnswer: 59131127.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - v + (5*v - 3*v - v)*(-3 - 2 + 4))*((5 - 17 + 2)*(0 + 2 + 1) + 2 - 4 + 1).\nAnswer: 62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 4*a**2 - 3*a + 5. Let m be g(4). Let h = -3 - m. What is the remainder when h is divided by (12 - 7)*(-3)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 11, 17?\n\"Answer: 6*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79418951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 566280 and 490?\nAnswer: 27747720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*h + 1385 = 1391, 4*r + 3*h - 37 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/9 and 1\/8 - 6712\/8640.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3233034985?\nAnswer: 5, 29, 4139, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88, -377, -854, -1513, -2348, -3353, -4522?\n\"Answer: w**3 - 100*w**2 + 4*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.371294937 - 0.3713. Round x to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/10)\/(6\/(-120)). Let d = g + 107. Do d and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -10*p**4 + 15*p**3 + 115*p**2 + 90*p = 0.\nAnswer: -2, -1, 0, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/7)\/c**(2\/7)*c**(1\/17)\/(c\/c**(-1\/22)) assuming c is positive.\nAnswer: c**(-3705\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 - 8*b - 5. Let v(z) = -9*z**2 - 15*z - 9. What is -11*n(f) + 6*v(f)?\nAnswer: -10*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/4 (b) 18 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -84, 5, -25 in decreasing order.\nAnswer: 5, 0, -25, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 141. Determine d(-25).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {g: 1, k: 1, a: 1, b: 2, l: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -62 (b) 3\/7 (c) 4 (d) 505\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -4 - 1 - -15. Let u = r + -11. Suppose 9 = -i - u*w, -5*i + 7*w = 3*w - 13. What is the closest to 1 in i, -5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/6 - -8)*(1 - (-5)\/(-10)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, r: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 2 f when four letters picked without replacement from ififfiiffiffiz?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 1\/(0 - (-1 - -2)). Let f be -1*(0 - -5)*(-7 + q). Differentiate -21 + f + 24*g**2 - 9 with respect to g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 = 3*t + 64, 44 = -3*t - x. Let d(n) = -15*n - 18. Let v be d(14). Calculate the remainder when 4\/t + v\/(-14) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*q = 12, 3*w + 0*q = -q - 1. Let y = w - -12. Suppose 4*h - 197 = -y. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*d - b + 2, 6*d - 6 = -6*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*(p\/(p\/((p\/p**(-8\/7))\/p)))\/p))\/p)*p*p)**42*(p**(-18))**15)**(4\/3) assuming p is positive.\nAnswer: p**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-2*3)\/sqrt(6) + -2 + (sqrt(33)\/sqrt(3) + -5)**2.\nAnswer: -16*sqrt(11) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 6*k**2 - k + 7. Let b be i(6). Let q(v) = -73*v + 68*v + 45 - 44. Give q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b**2 + 58*b + 12. Let u be y(4). Solve 0 = u*l - h + 24, -45 = l + 4*l - 5*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14073, 28087, 42091, 56079, 70045?\nAnswer: 83983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 470472*j**2*q**3 - 638*j**2*q + 16*q**5 + q**2 - 478 wrt q?\nAnswer: 2822832*j**2 + 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 684*d**3*m**3*y - 2345*d**3*m**2*y + 10*d**2*m**2*y + 2*d**2*m**2 + 557*d*m**3*y**2 + d*y**2 + m**2*y**2 - 6*y wrt m?\nAnswer: 4104*d**3*y + 3342*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/29736 and -32\/3481.\nAnswer: 1754424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19206, -76853, -172942, -307473, -480446?\nAnswer: -691861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170*r + 216*r - 401*r.\nAnswer: -1355*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 10731.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 8*o**2 + 6*o + 8. Let x be c(8). Let u = x + -33. Let l = 133 - 90. Calculate the remainder when l is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9952\/4354*7\/(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4589*u*y + 3289*u - 1889*y - 2178 wrt y.\nAnswer: -4589*u - 1889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - (17 - 5)) + -87?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49120469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0259 - -0.0008. Let w = r - 3.2889. Round w to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 768 + -1562. Let m = 791 + s. Sort -4, 14, 2, m in ascending order.\nAnswer: -4, m, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 520827652 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 543383 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 4*l**3 + 6*l**3)*((l - 3 + 7 - 2)*(-2689 - 79 - 1520)*(-1 + 2 + 1) - 4*l + 0*l + 3*l).\nAnswer: -17154*l**4 - 34304*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (58\/6 - 4) + -6 + 2. Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h + 27. Let x be i(-7). What is the closest to 0.1 in x, -2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - w**4 - 3*w + (-4*w + 5*w - 2*w)*(-2*w**3 + 3*w**3 + w**3)*(2 + 0 - 1).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = 3*m - 0*k, 4*m - k = 10. Solve 2*v - 30 = -2*v - 2*j, m*j = 4*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -4*h + h. Let q be h\/(-9)*6\/(-4). Let f(k) = -5*k - 1. Let v be f(-3). Calculate the greatest common divisor of q and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (-9 - 30 - -91)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 39*o + 18. Let t(g) = 2*g**2 - 36*g + 18. Let h(f) = 5*i(f) - 6*t(f). Give h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000037531 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*j + 2 + 125*j + 137*j)*(3*j**2 + 3*j**2 - 7*j**2)*((-j + 5 - 5)*(2 - 2 + 3*j) - 1 - 6*j**2 + 1).\nAnswer: 1359*j**5 + 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1175582 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 26 + 7\/2*g**2 + 0*g. Let u(n) = 2*n**2. Give w(u(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**3 - 6*f - 9. What is g(-3)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/sqrt(392) - sqrt(308)\/(1*sqrt(11)))\/((sqrt(32) - (sqrt(288) + 1*sqrt(288)))\/(sqrt(96)\/sqrt(3))).\nAnswer: 12*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -10. Let b be (32\/(-20))\/(1\/y). Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*(x\/(x\/(x*(x\/(x*x**(-29)*x))\/x*x)*x))\/x)))*x)**(-17)*(x**(30\/13))**(-18))**(3\/8) assuming x is positive.\nAnswer: x**(7809\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.038171 - -259929.038171. Let g = a - 259880.00032. Let j = -49 + g. Round j to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8400082 months in centuries?\nAnswer: 0.0023666735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 1935229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + 311211?\nAnswer: 312003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -842401 + 842588. Suppose -4*m + 3 + 1 = 0. Is k greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 6:49 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/134 and -89\/10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbrrrbrylrratlll. Give prob of sequence by.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/5 + 118*q**2\/5 = 0?\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-160)\/(-50))\/(8\/20). Let q be 25\/10 - i\/(-16). Solve -5*w + 34 = 3*c, -4*c + 29 = q*w + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**8\/168 + k**4\/12 + 2*k**2 - 4*k. Let v(j) be the first derivative of h(j). What is the second derivative of v(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 1, a: 1, b: 4, t: 2}. Give prob of sequence qtc.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/27180 and -4\/7345.\nAnswer: 39927420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15781782 divided by 381\nAnswer: 41422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-142 - -26) + 15 + -1 + (5 - -11)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4\/4 + 25*y**3\/4 + 395*y**2\/2 + 360*y = 0. What is y?\nAnswer: -9, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + -3*sqrt(7).\nAnswer: -3*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 5\/6 (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51.052 - -51. What is g rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -0*z + 5*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16315111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 74 + 42 + 2*p - 72. Let w(j) = j**2. Determine w(f(h)).\nAnswer: 4*h**2 + 176*h + 1936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 12 - 6)*(3*l**2 - 2 + 0 + 1).\nAnswer: 108*l**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 + 323. Suppose -g + 37 = -4*z, 0*z + f = 4*g - 4*z. Calculate the remainder when 41 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 11. Let l(j) = 26*j + 125. Let d(a) = 38*a + 188. Let w(t) = -5*d(t) + 7*l(t). Let o be w(-7). Calculate i(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.776299ns in minutes?\nAnswer: 0.00000000039627165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 18 + 42 = 0. Suppose n*u + 1107 = 15*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4*i + 13, -4*i + 22 = 3*o - 5*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22711361 times -0.3\nAnswer: -6813408.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232\/(-261))\/(80\/150).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 2*a + 4*a)*(-a - a + 18*a)*(-4 + 6 + 4).\nAnswer: -192*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f*n*o - 2306831*f*n*y - 64*f*n + 1983351*f*o*y + 3*n*o*y wrt o.\nAnswer: -6*f*n + 1983351*f*y + 3*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -40*m - 1471. Let h be s(-37). Solve 5*v - 15 = -5*r, 3*r + 3*v - h = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 4*k + 5*k - k - 2*k - 2*k + 0*k + k - 2*k + (0*k + 4*k - 5*k)*(-2 + 1 + 3) + (-6*k + 4*k - 5*k)*(5 + 0 - 3) to the form t + z*k and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -513 - -901. Suppose 0 = -0*s + 4*s - h. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*x - 6*x + 32*x + 3*x**2)*(16 - 16 - 2*x) in the form m*x + u*x**3 + y*x**2 + q and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10)*(-3 - -11)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, k: 3}. Give prob of sequence knkk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*n**2)*(9*n - 6*n + 4*n) - 10*n**3 + n**3 - 2*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12229 - 12626269?\nAnswer: -12614040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31432 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -45*n + 16. Let c be -1*(3\/3 - -1). What is the tens digit of h(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 43 - 140 + 45 + 51. Let z(q) = -2 - 11 - 2 + 3*q. Calculate -15*b(n) + z(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3662080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 32*k**4\/19 + 784*k**3\/19 + 1794*k**2\/19 + 752*k\/19 + 88\/19 = 0.\nAnswer: -22, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3523740 by 92730.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-638)\/209 + -3\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) -10 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/12 + v**3\/3 - 7*v**2 - 4*v. Is f(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 92\/16)\/(3\/(-12)). Suppose -u*f = -12588 - 15335. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from rprarraaarpr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {r: 2, j: 2, l: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 5.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2864*-0.1.\nAnswer: 286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 4) + -50 + (20 + -25 - (2 + -14)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 29. Let s = -26.79 - o. Let d = s - 0.2081. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 79. Calculate the common denominator of ((-6)\/s - -2)\/((-5)\/(-445)) and 41\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5036 is divided by 228.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -288 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00809149 rounded to 5 dps?\nAnswer: -0.00809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 220.\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**3 + 2*x**3 - 8*x**3 + 7*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -8421?\nAnswer: -4\/8421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:55 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -211660 + 115?\nAnswer: -211543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-155)\/(-217)*2\/(-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-6)\/4*(-140)\/21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755*o - 755*o - 762*o + 2275*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*x = 130*x - 45*x - 1100 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2635113*g**3 - 2635111*g**3 - 2635105*g**3 + 7905325*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1023, 0.02, -0.04, -2 in increasing order.\nAnswer: -1023, -2, -0.04, 0, 0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 112 + 5*d**3 + d - 4*d**3. What are the prime factors of y(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 131286?\nAnswer: -131276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - b + (0*b - 4*b + 2*b)*(0 - 1 - 2))*(-61 + 126 + 145)*(0*b + 3*b - b + (-1 - 2 + 2)*(b + 1 - 1)).\nAnswer: 1050*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 4, k: 1, v: 4}. Give prob of picking 1 w and 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 43*z**2 + 226*z**2.\nAnswer: 275*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n, -24*n + 24030 = 5*f - 27*n. Let r = f - 689. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - f - 2)*(-2*f**4 + 21 - 38 + 37*f + 18).\nAnswer: 2*f**5 - 37*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/639 and 155\/444?\nAnswer: 94572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 62879385 divided by 5\nAnswer: 12575877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 825 and 1730310.\nAnswer: 95167050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 45, 41, 19, -27, -103, -215?\n\"Answer: -k**3 + 15*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7070.9801 rounded to 0 decimal places?\nAnswer: 7071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) - (99\/5)\/(-3). Solve x = r + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 3. Let m = -12 + 21. Let s be j(m). Let p(d) = -d - 4*d + s*d. Let b(f) = 3*f. Give p(b(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, 82, 49, -42, -197, -422, -723, -1106?\n\"Answer: -g**3 - 20*g**2 + 86*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -1 (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2380269 and 21.\nAnswer: 16661883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) 2\/3 (c) 8 (d) -0.016\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 6*m**2 - 4*m + 12. Let r(d) = -6*d**3 + 30*d**2 + 20*d - 62. Let u(g) = 11*p(g) + 2*r(g). What is u(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/14 - -1)*10928\/2556. Let f = w - 2\/1491. Calculate the common denominator of f and (-1)\/8*(-276)\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-6)\/(-5) + 30195\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -40*i + 236. Let m be l(6). Let p(w) = w**2 - 4. Let d(h) = -4. Give m*d(k) + 4*p(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*u + 35 - 100 = 0, 8*u + 67 = -p - 0*u - 37 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (37 - (31 + -11))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5611 + -3?\nAnswer: 560a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k - 0*k. Let r be (-4)\/k*(-9)\/(-2). What is the smallest common multiple of 20 and -2 - -14 - (r + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19063254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-45)\/12)*15\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = o - 0*n - 22, 12*n - 94 = -3*o - o + 7*n for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m + 6. Let h = -4 - m. Suppose 0 = 4*y + 21 - 1. Sort h, 1, y in decreasing order.\nAnswer: 1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r**2 - 5*r + 3. Let i(c) = -5*c**2 - 3*c + 1. Let b(x) = 4*d(x) - 9*i(x). Let s be b(-7). Suppose -s*o = -0*o. Solve o*f + f = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02523 - 5.07677. What is w rounded to one decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g = 41*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89160 and 5137102.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 5292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 4*b**2 - 2*b + 4. Let m(w) = 2*w**3 - 17*w**2 + 16*w + 38. Let p be m(7). What is h(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1940\/39, -4, 0.04 in descending order.\nAnswer: 0.04, -4, -1940\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -4*q + 81. Let d(l) = 40*l + 32*l - q*l. Let j(x) = -x**2. Give d(j(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 11. Let g(d) = d - 6. Let q(m) = 13*g(m) + 6*h(m). Is 9 a factor of q(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*(-8892)\/171\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*v + 9*v = -617*v - 48167 + 9739 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**7\/2520 + l**6\/360 - l**5\/30 - l**4\/6 + l**2 - 3*l + 8. Let q(v) be the third derivative of s(v). Determine q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 3 (c) -0.3 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12403187.\nAnswer: 23, 539269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 18*w**2 + 63*w + 14. Give m(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1895, -38, 0, -1\/3, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527921020?\nAnswer: 2, 5, 11, 2399641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -187.\nAnswer: 12\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6169 take away -0.25?\nAnswer: 0.8669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1128)\/(16 + (-15 - 2)) is divided by 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 13. Let h(r) = -4*r + 19. Let t(c) = 5*h(c) - 7*u(c). Let a be t(-4). Which is greater: a or -1\/114?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160.8 - 1.2. Let z = -161.8 - v. What is the third biggest value in 1, 3\/8, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 8) in base 11?\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 648\/(38\/20 - 26\/65). Calculate the greatest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**11*v)\/v**(4\/9)*(v\/((v*v*v\/v**(-2\/9))\/v))**(-14) assuming v is positive.\nAnswer: v**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*y**2 + (3*y - y + 0*y)*(-3*y + 4*y + y) + 5*y**2 + 0*y**2 - 103*y**2)*(51*y**3 - 92*y**3 + 45*y**3).\nAnswer: -384*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 37. Suppose 3*o - 11 = -i*p, -4*p - 2 + 3 = -o. Let n be (-7)\/(1*-1 + 0). Calculate the greatest common factor of p and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:08 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3505, -6947, -10389, -13831, -17273, -20715?\nAnswer: -24157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 266. Calculate s(-54).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 5, 3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200272 - 5*g**3 - 200272.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*w - 7, -5 + 19 = 2*q + 4*w. What is the lowest common multiple of 5\/3*12\/2 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y - 4*y**2 + 5*y**2 + 447 - 10*y.\nAnswer: y**2 + 8*y + 447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2844 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w + 3. List the prime factors of n(20).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(((-28)\/3)\/4). Let z = 8 + -3. Let x = 4.9 - z. What is the nearest to 2\/9 in 1, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -w - 19, w - 635*s + 631*s = -14 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0 - p**3 - 7*p**2 - 4 to the form k + d*p + b*p**3 + j*p**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + -0.11. Let j be (-3)\/2*(-85 - 1). Let f = j - 1425\/11. What is the second biggest value in f, -2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 23. Let q = -305 + 328. What is the third derivative of -78*j**6 - q*j**2 + 81*j**6 + p*j**2 wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 0.03 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001010111 + -110111110?\nAnswer: 101010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24787 - -133190\nAnswer: 108403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 169 + 640*q**2 + q - 84 - 88 - 69*q**2 as c + m*q**2 + w*q and give m.\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a - 2 + 7*a - 8*a. Let b be v(-2). Solve -15 = -5*i + 5*z - b, 5*i = 2*z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 1. Suppose 22*c - 17*c = -55. Let p = -9 - c. Let m(u) = -p*u + 7*u - 4 + 3 + 3. What is -3*m(w) - 7*z(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z - 4. Let m be p(-5). Let r(y) be the second derivative of 5*y**3\/3 - 26*y. What is the remainder when 19 is divided by r(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -3.8494 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (690\/(-30) - -28)\/(-2 + 3 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(4 + -4 + 2 + ((sqrt(567) - (sqrt(567) - (1 + sqrt(567)))) + sqrt(567))*-6))**2.\nAnswer: -653312 - 6912*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(500)*-2 - sqrt(500) - sqrt(500)) + -4)**2.\nAnswer: 800*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0.2 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 + -0.9. Let l = -5.1 - z. Let m be 4\/(28 + (1 - 3)). What is the closest to l in m, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 5*o + 45, -12*x + 5*o - 5 = -16*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/152*(-48)\/2. Suppose 2*x - 2 = 2. Factor -3 - 45 + 50*f + g*f**4 - x*f - 12*f**3.\nAnswer: 3*(f - 2)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -50*b**2 + 21*b + 3. Let v(z) = z**2 - 7*z + 1. Determine -q(j) - 3*v(j).\nAnswer: 47*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 995 - 956. Suppose -70 = 6*b - 4*b. Let i = b + q. Solve -3*g - 2*k = -i, -6 = -5*g + 2*g - 3*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27663 to three decimal places.\nAnswer: 0.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 685131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) - 14\/(-3). Find the second derivative of -6*z**2 + 6*z**2 - 4*z - z**4 + o*z**4 wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 609728?\nAnswer: 1\/152432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879382 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.097586?\nAnswer: -4.902414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 + 199225014*o - 199225017 = 0.\nAnswer: -66408339, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 - 8 = 0, -5*l - 5*h + 35 = 0. Solve -l = y - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8234497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 26*p - 760. Suppose 4*h + 3*l = p, 4*l = 2*h - 15 - 15. What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 12*k. Let n be y(13). Which is the smallest value? (a) 0.5 (b) -0.05 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -18*x - 8. Solve -3*l + 3 = -3*k, -4*k + x = 2*l - 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ann when three letters picked without replacement from {n: 6, a: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -690354, -690297, -690240, -690183?\n\"Answer: 57*g - 690411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095446577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144896 and 8773?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 1066\/7. Suppose -5*k - 2*k = -28. Let u be (22 + -23)\/((-22)\/k). Which is the biggest value? (a) 2\/19 (b) 5 (c) z (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*s**2 - 5*s + 5*s + 33*s**2.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 9:01 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a factor of 88871356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:00 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -38918, -2, 91?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-601)\/9 - (-9)\/(486\/(-12)). Let w = b - -75. What is the lowest common multiple of w and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -106, -171, -236, -301, -366, -431?\n\"Answer: -65*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5437)\/(-21) + (-16)\/(-168)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**7\/12 - 5*b**6\/48 + 71*b**5\/12 - 25*b**4\/6 + 1162*b**2 - 2. Solve p(u) = 0.\nAnswer: -5, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2889751\/6 + 481626. Find c, given that 19\/6*c**4 + 5\/6*c**2 + 0 + h*c**5 - 1\/3*c + 7\/2*c**3 = 0.\nAnswer: -2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f**3 - 115*f**2 - 160*f - 60 = 0. Calculate f.\nAnswer: -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142.7459 * 50.\nAnswer: 7137.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24563 and 9317?\nAnswer: 270193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 48344*g + 193440.\nAnswer: -4*(g - 12090)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -3*x**4 + 0*x**3 + 0*x - 17\/2*x**2 - 10. What is the second derivative of t(k) wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 - 13179*y = 0. What is y?\nAnswer: 0, 4393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 3*t - 310 = 74*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 2. Let o(b) = -b. Let y(h) = k(h) - 4*o(h). Factor y(w).\nAnswer: -2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-2\/7)\/y)*y*y**(-1\/4)*y*y*y**2*y**(-3) assuming y is positive.\nAnswer: y**(113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 40*k = 0. Suppose 3*h = k, -5*h + 4 = -4*x - 12. What is the nearest to -1 in x, -2\/17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:50 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 145002 (base 6) to base 13\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 11142 = -3*p, 19*z = 2*p + 14*z - 7447. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -31. Suppose 8*i + x*i - 10475 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 5*q + 13 + 23, -1428*x + 1432*x - 12 = -9*q + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a\/a**14)\/a)))\/((a\/(a\/a**(2\/9)))\/a))\/(a**(-2\/5)\/a**1) assuming a is positive.\nAnswer: a**(-532\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 289, 674, 1453, 2764, 4745?\nAnswer: 7534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3 = -3*o, 3*s = 7*o - 12*o + 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:03 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v**3 + 2*v**2 + 0 - 1\/60*v**5 + 0*v**4 + 0*v. Let f(x) = x**2. Determine s(f(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 4245?\nAnswer: 4253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2171, 8710, 19577, 34748, 54199, 77906, 105845, 137992?\n\"Answer: -4*f**3 + 2188*f**2 + 3*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 7, w: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3294742 by -53141.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2\/1) + 7. Let b be (j\/12)\/((-2)\/(-360)). Suppose -15*t = -12*t - 144. Calculate the greatest common factor of t and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*((-1 + 1 - y)*(0*y + 5*y - 2*y) + 12*y**2 + 16*y**2 + 4*y**2) + (3 + y - 3)*(2*y - 2 + 2).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = -4*g - h, 5*h + 15 = 0. Let k be 2 + g - (38 - 5). Let l = -27 - k. Which is greater: l or -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 256320.6 to the nearest 100.\nAnswer: 256300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8*m - 3*m - 5 = 0, 1 = q - 2*m. Suppose -q = -g - 3. What is the remainder when 1 is divided by g\/(-4)*(-6)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81\/10 + -172\/5. What is the common denominator of 57\/4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2704.574 millennia?\nAnswer: 2704574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 20432 = 6*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - z**2 - 4*z + 28 + 37. Suppose 5*i + 18 = 3*w + 3, w - 5*i = 15. Let j be n(w). Calculate the greatest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22926*p + 4331 with respect to p.\nAnswer: 22926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535524043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 136. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/17 + 1640*z**3\/17 + 18266*z**2\/17 + 13336*z\/17 - 33240\/17 = 0.\nAnswer: -10, -2, 1, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 43*r**2\/2 - 9*r - 7. Let x be t(-2). Let z be (x - 1\/(-1))\/(-8). Which is bigger: z or 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 26\/835?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 16. Let x = 39 - t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39664 - 39665.951. Round r to 2 dps.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**26)\/p*p**(6\/5))\/((((p\/(p*p**(1\/26))*p)\/p)\/p*p)\/p*p*p**(-3\/7)*p))**23 assuming p is positive.\nAnswer: p**(579071\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -573*o**2\/2 + 909. Let f(z) = -z**2. Give f(k(i)).\nAnswer: -328329*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 66*t**2 - 3. Let i(j) = j**2 - 4*j - 3. Let z be i(5). Let u be f(z). Find the third derivative of 261*l**4 + 7*l**2 - 4*l**5 - u*l**4 wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*f**2 + 22*f - 37*f + 14*f - 1 + 2*f**2 + 1 - f**2 - 1 + 1 + (-3*f + f + 0*f)*(0 - f + 0) + f + f**2 - f - 5*f**2 + 2*f**2 + 0*f**2.\nAnswer: -71*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25542 - -25542. Is b >= 2\/78873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:43 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-20)\/(-8))\/5*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -123261 and 3?\nAnswer: 123264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 199093, 398186, 597279, 796372, 995465?\n\"Answer: 199093*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111202200 (base 3) to base 7.\nAnswer: -41154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4480 and 3640?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/56 + (-1055)\/(-844). Let 69\/7*r**4 + 0 + 60\/7*r**2 - 18*r**3 + 24\/7*r - w*r**5 = 0. Calculate r.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*n = -71*n + 6. Suppose -32 = -n*t + 16. Differentiate t - 15*y - 23*y + 37*y wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6191 and 3775.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 1785.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 14*p**2 - 2*p - 24. Determine h(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15531 and 399.\nAnswer: 6196869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (278781\/(-2))\/((-46527)\/11479). Let k = 34390 - z. Let t = -46535\/19088 - k. Find the common denominator of 49\/22 and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c**2*f**3*y + 8*c**2*f*y**2 + c*f**2*y**2 + 15*c*f*y**2 + 2*c*y**2 - 2*f**3*y**2 wrt c?\nAnswer: -28*f**3*y + 16*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 37. Let g be i(-9). What is the closest to g in -19, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -288 - -287. Sort 1\/3, -15, 2\/3, g in increasing order.\nAnswer: -15, g, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13624 is divided by 13582.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155610 and 16530.\nAnswer: 4512690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-4*j + 0*j + 2*j)*(-28*j**2 - 8 + 21*j + 33*j**2 - 18*j).\nAnswer: -10*j**3 - 6*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100101 + -100?\nAnswer: -100010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 142, 197, 254, 313, 374, 437?\n\"Answer: w**2 + 50*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 less than 8692?\nAnswer: 8584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyokyyfkyyuyyyufuy. Give prob of picking 1 f and 1 k.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z + 216 = 0. What is the smallest common multiple of 9 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 4*n**2 - 2*n - 1. Let r be v(-3). Solve -5*h + 25 = 0, -7*z + 3*z = -3*h + r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddtddfftddtt. What is prob of picking 2 f?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 181.5 and -1428.1.\nAnswer: -259200.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8816 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5707857 is divided by 475654.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m - 168. Let s = m + 61. Suppose 162 = 3*z - 5*y, -s*z + 246 - 13 = 4*y. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186541390 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8.7. Let l = 693 - 692.5. Which is the second biggest value? (a) s (b) -12\/13 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9900 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 5*c**2 - 9*c - 1. Let h be d(-6). Suppose -15 = -5*v + g - 6, 4*g + h = v. Solve 13 = -2*b + 3*f, -v + 16 = 3*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -700 + 701. Is 1\/32 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86904 - -339?\nAnswer: 87243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11947.237 and 22.\nAnswer: 262839.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuaa. Give prob of sequence au.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 0. Suppose g*d - 48 = 2*d. Suppose -2*f - 3 = -3*p, 5*f - p - 263 = -264. Solve f = -2*v - 3*m + 20, -m = 6*v - 3*v - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*c**2 + 7*c - 150*c**2 - 5*c.\nAnswer: -292*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-5 + sqrt(68) - sqrt(17)) + sqrt(17))**2 + -4 + (sqrt(204)*1)\/sqrt(12))*3 + 5 + -5.\nAnswer: -117*sqrt(17) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3203, 5, 0.1 in increasing order.\nAnswer: -3203, -0.5, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9885, -20627, -31369, -42111?\n\"Answer: -10742*v + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b + 2 = 0. List the prime factors of (2 + b)*(4 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/2*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -853 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 - 48. Let i = j - 47.56. What is i rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24)\/((-2)\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u + 6. Determine c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 8*q**3 - 8*q**4 - 6*q**3 + 2*q**5 - 8*q + 4*q**3 + 8*q**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 7*r - 5. Suppose -11*s + 10*s + 7 = 0. Let u(n) = n**3 - 6*n**2 - 10*n + 15. Let h be u(s). Determine j(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 + -63. Let o be (-4)\/1*-13*136\/16. Does 20 divide (-9)\/j + o\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -306 - -318. Suppose -n = l - b - 24, 4*n - 5*l - 144 = 0. Sort n, -4, 2, 3 in ascending order.\nAnswer: -4, 2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + 4 + 1*sqrt(1152) + -1 + sqrt(1152) + sqrt(1152) + -1)**2 - (2*sqrt(1152) + -4 + -4).\nAnswer: 336*sqrt(2) + 18444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**3 + 5*h**2 - 35*h + 9. Let x(w) = -w**3 - w + 1. Let o(b) = -p(b) + 6*x(b). What is the second derivative of o(v) wrt v?\nAnswer: -96*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*x - 3)*(0*x - 3*x - 2*x) + (-2*x - 2*x + 5*x)*(2*x + 2*x - 3*x) in the form g*x**2 + f*x + r and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 18. Let d(w) = 6*w + 91. Let b(v) = -2*d(v) - 11*u(v). Calculate b(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 103*h + 21*h = -1575 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.575 - -0.075. Let m = 689195.5000016 - 689197. Let t = z - m. What is t rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, t: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185738094 is divided by 707.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxqq when four letters picked without replacement from xqqxsxq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65810166749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.1 - -6.9. Which is the third smallest value? (a) 0.2 (b) v (c) 1\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*q + 7506 = -448*q + 761*q for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c, -6*c + 123 = j - 9*c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 56 = 3*u - 5*f, 4*u - 83 = 5*f. Calculate the common denominator of u and -4\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3960230, -5, 1, 5 in decreasing order.\nAnswer: 5, 1, -5, -3960230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let g(l) = 257*l**2 + 208*l**2 + 5494*l - 5494*l + 40*l**2. Give x(g(q)).\nAnswer: 255025*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13291, 26365, 39271, 52009, 64579, 76981?\n\"Answer: -84*g**2 + 13326*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 5*z - 43, 0 = -3*r - 3*z + 35 - 2 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, -8*r = -7*r + 2*y + 76536 - 298019. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 13*q + 4. Calculate g(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = -3*j. Let l be (j\/(-6) + 0)*-4. Let z = 10 - l. Solve 0 = 3*n + 3*d - z, 0*d = 4*d - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17060969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 40411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81226723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/120 + i**5\/20 + i**4\/6 - i**3\/3 - 3*i**2. What is the units digit of f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2. Let o(j) = -482*j**2 + 104*j**2 + 164*j**2. Calculate o(w(k)).\nAnswer: -3424*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 5*h + 25, 3*h + 24 = 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39053 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -986, -4, -0.5, 5, 19, -2 in descending order.\nAnswer: 19, 5, -0.5, -2, -4, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 58 + 0 = 0. Solve -3*r = -p*o - 2, r - 23 = -3*o - r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14081580 by 5340.\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/6978572?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878681691.\nAnswer: 3, 97631299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 94.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 114*f + 1. Suppose g - 5 = -1. Is o(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 10 - 3*p**3 + 3*p**3. Let q = 27 + -39. Let a = 12 + q. What is u(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**3 - 68*c**2 - 5*c - 8. Let j(m) = -m**3 + m**2 + m + 1. What is 6*j(a) + q(a)?\nAnswer: a**3 - 62*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3. Suppose -h - 2*h + 30 = d. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -13*k**2 - 97*k - 136. Give o(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1572376*g**2 - 524102*g**2 - 524134*g**2 - 524133*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 0 + sqrt(72))*5 + 5 + sqrt(16)\/sqrt(2) + -2)**2 + 3.\nAnswer: 372*sqrt(2) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173225 is divided by 505?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - q**2 - 10*q - 2. What is f(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 439 - 435. Solve 0 = 6*s - u*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/6)\/z*z))\/z*z**(-4\/9)*z*(z*z**(-10))\/z*z*z*z**(-2\/5)*z*z assuming z is positive.\nAnswer: z**(-541\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -49, -83, -121, -157?\n\"Answer: a**3 - 11*a**2 + 2*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*f - r + 5, -3*f - 3 = 3*r. Let p(u) = -3*u**2 - 3*u. Let w(c) = 3*c**2 + 4*c. Determine f*p(h) + 3*w(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + s + 89 = 8, 0 = 2*x + 3*s - 93. What is the remainder when x is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*d - 21 + 7, -3*h = 4*d - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 18 = -4*s, 3*s - 9 = -3*d + 12. Let a be d*18\/(-12)*1. Let h(j) = 3*j**2. Let o(w) = -4*w**2 + w + 1. Determine a*h(k) - 2*o(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-1 + sqrt(50) - sqrt(2)) - ((sqrt(98) + 1 + sqrt(98) - sqrt(98)) + sqrt(2)))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -7 + 3 + -2 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhhbzbbbb. What is prob of picking 1 z and 1 h?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 26091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1254795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/33)\/((5*(-64)\/240)\/(-4)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69542*i**2 + 210927*i**2 - 69535*i**2 - 71852*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -27*o**4\/8 + 1217*o**2. Let c(q) be the second derivative of -4*q**3\/3 + q. Determine 2*a(h) - 21*c(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15*n**2. Let h(m) be the second derivative of -m**3\/6 - 6*m. Let r(f) = -6*f. Let v(x) = 15*h(x) - 2*r(x). Give v(k(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p**2 + 3)*(2*p**3 - 2*p**3 + p**3) + (-2*p**3 + 5*p**3 - 5*p**3)*(429*p**2 + 489*p**2 - 704*p**2 + (-5 + 4 + 0)*(-p**2 - 4*p**2 + 3*p**2)).\nAnswer: -430*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 10*p - 2. Determine r(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 - -5. Let p = -8865.3066 + 8867. Let x = s - p. Round x to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -605, 364, 7179, 24094, 55363, 105240, 177979?\n\"Answer: 709*x**3 - 1331*x**2 - x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:28 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 4*n**2 - n - 1. Let b be q(-3). Let o(a) = -5*a + 4. Let x(v) = -v + 1. Let h(w) = o(w) - 4*x(w). What is the units digit of h(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 21930220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsiddsddfiddf. What is prob of sequence df?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(-3*s**3 - 2*s**4 + 3*s**3) + 23*s**4 + 245*s**4 + 33*s**4.\nAnswer: 295*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(1\/7))*v)\/(v*v**36\/v) assuming v is positive.\nAnswer: v**(-237\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 - 5*f + 1. Let h be c(3). Suppose 3*t = 3 + 3. Solve -4*n - 9 = -y, t*y = -h*n + 4*y - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*b + 76 = -203*b + 1150 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iffvvfiff.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**(2\/69)*(y\/(y\/(y**(1\/4)\/y)))\/y**5)\/((y*(y*y**(-4)\/y)\/y*y*y**0)\/((y\/(y*y**3))\/(((y\/y**5)\/y)\/y))) assuming y is positive.\nAnswer: y**(467\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 138152246*d - 138152248.\nAnswer: 2*(d - 1)*(d + 69076124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-76))\/((-1)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -1\/11, -4, -3 in ascending order.\nAnswer: -30, -4, -3, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (16\/(-6))\/(-3 - 80\/(-24)) - -262 is divided by 58?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12586*m - 12688*m + 2550 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -61. What is the units digit of i\/12*(-14)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*q + 24784 = 0, 0 = -2*q + 4 + 4. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12444 - -5113?\nAnswer: -3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/206 (b) 1.8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21170, 42353, 63536, 84719, 105902, 127085?\nAnswer: 148268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13498 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-10) + (-1930)\/(-19300).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(-1*sqrt(7)) + (1*sqrt(77))\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 - 125. Find the second derivative of -9*p**2 + 41*p**2 + 3*p**2 + q*p + 2 + 21*p**2 wrt p.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -1. Let o = -90 + 106. Let s(c) = -64 + 106 - l*c**2 - 58 + 22*c**3 + o*c. Let x(y) = 7*y**3 - 2*y**2 + 5*y - 5. Give 5*s(n) - 16*x(n).\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:39 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-12 + 10 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 (base 11) in base 6?\nAnswer: -3054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2088 and -37\/1856.\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30772551 + 22.83188?\nAnswer: 30772573.83188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 5:27 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**3 + 39*j**2 - 6*j + 6. Let o(y) = -7*y**3 - 38*y**2 + 5*y - 5. What is 5*f(c) + 6*o(c)?\nAnswer: -2*c**3 - 33*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 3*r**2 + r. Let w be u(-2). Let k(l) = 25 + 2*l**3 - 23 - 4*l**2 - l + 3*l**2 + 0*l**2. List the prime factors of k(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2\/17, -0.66, -2, 2.\nAnswer: -2, -0.66, 2\/17, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -816, -2, 2, -39 in descending order.\nAnswer: 4, 2, -2, -39, -816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from tffzffffi.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 454*n - 2 - 442*n + (n + 4 - 4)*(4 + 1 - 4) + 2 + 2*n - 2.\nAnswer: 15*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s**2 + 8*s + 76. Let g(t) = 4*t**2 + 3*t + 26. Give 8*g(k) - 3*z(k).\nAnswer: -k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 8897?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*t = -25, -6*q + 9 = -q + 3*t. Solve 4 = -i, -q*i - 3 + 1 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.1896 weeks in nanoseconds?\nAnswer: 337593070080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f - 23. Let j be a(-17). Let s = j + 127. Suppose 10*o - 14*o = -s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzkk when four letters picked without replacement from zzzkzzzkzzzzzkzzzz.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**2 - 11*d**2 - 9*d**2 + (-2*d + 3*d - 2*d)*(d + 0*d + 0*d) - 4*d**2 + d**2 + 4*d**2.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*b + 2, -2*u + 2*b + 2544 = 0. Calculate the greatest common factor of u and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d\/(d*d*d*(d\/(d*((d**12\/d)\/d*d)\/d))\/d)*(d**(-4\/3)\/d)\/((d\/((d*(((d\/(d\/(d*d**10))*d*d)\/d)\/d)\/d)\/d))\/d))**(31\/2))**36 assuming d is positive.\nAnswer: d**9486","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 92 + 6 + (0 - 0). Let w be (j\/70)\/((-1)\/(-5)). Suppose -3*r - 124 = -w*r. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6144644 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7060 = 16*i - 15*i - 3*y, 0 = 5*i + 3*y - 35444. What is the remainder when i is divided by 2360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4616119390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -63*c - 4. Let p be 704\/(-56) - (-4)\/7. What is the units digit of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166293220 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))**(-2\/63)\/((z\/(z**(1\/8)\/z*z))\/((z*z**(-2\/9))\/z)))\/((z**3*(z**7\/z)\/z)\/(z*z**(-1))**(-1\/2)) assuming z is positive.\nAnswer: z**(-655\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1632*k + 40 - 12 - 7 - 8 - 12 as w + x*k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25480 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.89 - -0.11. Suppose 0 = 4*k + 4*q - 52, 5*k - 63 = -3*q - 24. Which is the closest to -1\/3? (a) -13 (b) -1 (c) k (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0143869 + -2347.8129131. Let u = -2349 - j. What is u rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 2. Let l(u) = -1. Let d(r) = r**2 - 4. Let a(k) = -d(k) + 3*l(k). Let s(g) = -5*g**2 + 4. Determine p*s(x) - 4*a(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 2*x - 6*x + 6*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4.107 times -675.5\nAnswer: -2774.2785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*i**2 - i**3 - 2*i**3 - 34*i**2 + i to the form n*i**3 + d*i + q + s*i**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2950 - -13111. What are the prime factors of t?\nAnswer: 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -185, -716, -1601, -2846, -4457, -6440, -8801, -11546?\n\"Answer: -p**3 - 171*p**2 - 11*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 20 = -3*a, 4*a + 2*x - 24 = 0. Let z be 1 + (-569840)\/(-9 + a). Suppose 5*y - z = 401031. What is y rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*c - 719 + 719)*(3*c**3 + 2*c**4 - 3*c**3) + 4*c**2 - 4*c**2 - 4*c**5.\nAnswer: -60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 1632 = 1581. Let -56\/17*f**2 - 8\/17*f - 98\/17*f**t + 0 = 0. What is f?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/24 - v**3\/6 + 9*v**2\/2 + 4. Let i(p) be the second derivative of m(p). Differentiate i(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 0.1 (c) -1\/6 (d) -208 (e) -0.111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 2*-1) + -2. Let d be (3\/l - 0)*-2. Let c be 10 - ((1 - d) + 3). What is the greatest common divisor of c and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*u**4 + 34*u**3 + 302*u**2 + u - 5.\nAnswer: 648*u + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011000001000 - 10111?\nAnswer: 10100010111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 8 = x. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6291 = -f + 4*v, f - 5868 - 419 = 3*v. Calculate the greatest common factor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -2*q + 2, 3*k = q + 3. Solve 5*l + 20 = 0, 14 = -4*t - k*l - 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5727 and -59\/30.\nAnswer: 57270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 19?\nAnswer: -42\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8814 and 16\/177749.\nAnswer: 1066494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -1248, -2042, -2836?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*w + 75 + 235*w - 42 - 33.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 4)*(12 - 0). Calculate the common denominator of (-62)\/(-6)*3\/(-4) and x\/(-30)*3\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 - 276*o**2 - 17*o + 1645. Determine h(92).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761499?\nAnswer: 3, 211, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1*t)\/t)**(3\/2)\/((t\/(t\/t**2))\/t*t**(-6)) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20 - 759\/(-46))*8\/7. What is the closest to -4 in -2, 0.1, h, 4\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4. Let t(p) = -983*p**2 + 2*p - 328. Let c(m) = 5*h(m) - t(m). What is the derivative of c(k) wrt k?\nAnswer: 1966*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -32, -64, -106, -158, -220?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40333786 is divided by 293.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 + 0.14. Let w = -0.02 + v. Let q = -2.492 - -4.492. Which is the nearest to q? (a) w (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*g + 2243, -3*o - g + 1321 = 4*g. Suppose -3*l + 1586 - o = j, -4 = -2*j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3 + 12268752*h**2*w + h**2 - h*w - 696*h + 904*w wrt h?\nAnswer: 6*h + 24537504*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*q + 130 = -142*q. Solve -2*u - q = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0*z**2 - 16444*z - 16446*z + 4*z**2 + 32890*z.\nAnswer: 4*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 137*i**2 + 7*i + 5. What is the tens digit of w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 9:08 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111 + 127?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100110 - -100011000101111110?\nAnswer: 100011001010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5*a + 3*d + 23, 0 = d + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 13*w + 35. Let a be o(16). Let y(f) = f**3 + 13*f**2 + 3*f + 39. Let s be y(a). What is the second smallest value in 1\/2, -2\/49, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9794*h**3 + 62*h**2 - 5*h + 50. Let z(c) = 6529*c**3 + 41*c**2 - 4*c + 32. Let y(u) = 5*b(u) - 8*z(u). Find the third derivative of y(w) wrt w.\nAnswer: -19572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - 100\/(-40))*(2 + 18\/(-10)). Let k be 0\/(-1 - -3) - -5. Let r = -120 + 129. Put -0.1, r, p, k in decreasing order.\nAnswer: r, k, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*2240\/(-6944).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + 0*m + (-1 + 2 + 0)*(2*m - 2*m + 2*m) - m + 4*m - m - 4*m - m + 0*m)*(m**3 - m**3 + m**3).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*9\/(-6939))\/((-100)\/77874). Let q = 18\/257 - i. What is the common denominator of -13\/25 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4727, 9597, 14803, 20513, 26895, 34117?\n\"Answer: 28*w**3 + 4674*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 698985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011111002201 (base 3) in base 8?\nAnswer: -4310274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65305.\nAnswer: 5, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -680501 divided by 351?\nAnswer: -680501\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {b: 1, r: 2, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 4d0185?\nAnswer: 4d0189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.9059258 to two dps.\nAnswer: 5.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1635, -1623, -1611, -1599?\n\"Answer: 12*l - 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.262, -108, -13, -5.5 in increasing order.\nAnswer: -108, -13, -5.5, 0.262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 40 = 2*c + 155, 0 = c - 3*y + 96. Let a be 77\/c*-9 + 4\/10. Solve h + a*s + 2 = 3*s, -2*h = -3*s + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140406953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 4*z**2 - z + 17. Give s(-5).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*o + 135 - 351 + 37 = 322 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 108\/10 - 1\/(-5). Let j = -9 + p. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66.71725554 + -15\nAnswer: 51.71725554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 u when four letters picked without replacement from uzurxrqaz.\nAnswer: 0","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 5:34 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -34*s**3 + 7104*s**2 + 405*s + 2714. Determine a(209).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q + 29 - 16 - 15. Determine w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 9617391?\nAnswer: -7\/1373913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9 - 2*o + 9. Let p(u) = u**2. What is x(p(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) -42.51 (c) 2 (d) 1 (e) -116 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-28) + 1485\/210?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 106 = -31*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121148 and 43369?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529*n**4 - 334*n**4 + 891*n**4)*(-2 + 2 - n).\nAnswer: -1086*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.077, 4, -1\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 817, -3, 2 in decreasing order.\nAnswer: 817, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422 <= 1423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 37*h - 16. Let b be l(4). Let c = -54 + b. Suppose -277 = -5*u + c. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -391*s**5 - 1452*s**2 wrt s?\nAnswer: -23460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3282 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021122112221121 + 220?\nAnswer: -1021122112220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from kzf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-3*(-2)\/6)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 87338, 0.4, 4?\nAnswer: 87338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -41*y**8\/336 + 43*y**4\/24 + 43*y**2. Find the second derivative of v(a) wrt a.\nAnswer: -820*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193651651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1668035 (base 9) to base 5\nAnswer: 214242330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 15*w + 48. Let c be i(-11). Let o = -9727\/6 - -1605. What is the common denominator of -6 + c + (-22)\/12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 18*o**2 + 59*o + 708. What is g(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -67. Which is the nearest to 0.1? (a) 0.05 (b) k (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 9*f**2 + f + 3. Let z be i(9). Suppose 0 = -l - l - z. List the prime factors of l\/8*2*-14.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppapaaapaaaaaaaaaa. Give prob of picking 3 a.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1001111000110000100?\nAnswer: -1001111000110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21*7\/28 + 2 + -6)*4. Let i(c) be the second derivative of -1\/40*c**y + 0*c**2 + 0 - 1\/12*c**4 - 1\/12*c**3 - 20*c. Factor i(x).\nAnswer: -x*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - w + 0)*(5*w**3 - 3*w**3 + 4*w**3) - 2*w**4 - 73*w**3 + 62*w - 15*w + 72*w**3.\nAnswer: -8*w**4 - w**3 + 47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 65\/10)*(-12 - 8640\/(-728))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l - 13*l - 3*l**2 + l + 2*l**4 - l**4 + 10*l**2 to m*l + b*l**2 + u*l**3 + p + x*l**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37, 2\/11, -1.84, -0.2, -3\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 1231?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 22*a - 16. Let k be s(-25). Suppose -4*b = -k - 1. Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/10 - r**4\/6 - 2*r**3\/3 + r**2 - 3*r. What is the remainder when o(4) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + -3 + 8 + -3 + -26.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:52 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248066566 or 248066569?\nAnswer: 248066566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 5703*p**2 + 7134*p + 1427.\nAnswer: -(p - 1427)*(p + 1)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 3823.569\nAnswer: 38.23569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5324*c**3 + 7 + 8043*c**3 + 4568*c**3 - 5 - 4057*c**3 + c**2.\nAnswer: 13878*c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18395 less than 425397?\nAnswer: 443792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.07, -1\/4, -1\/3, 8 in increasing order.\nAnswer: -1\/3, -1\/4, 0.07, 2\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 119911768 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a year in months?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42360 - 104360. What is a rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + -16 + -2 + 11. Let c(u) be the second derivative of -7*u + 0 + 0*u**3 - 2\/3*u**4 + 5*u**w. Differentiate c(q) with respect to q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1880 = c + 7*c. What is the lowest common multiple of c and 45?\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597394850 a multiple of 6695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13004798.\nAnswer: 2, 23, 282713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + t)*(32*t**2 - 2*t**2 + t - 49*t**2).\nAnswer: 38*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 219*x = -223*x + 8, 0*f + 3*x - 1 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101000 (base 2) to base 3.\nAnswer: -22121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 0, -18 = -5*f - 2*p - 0. Let l be 1\/2 + (702\/f)\/9. Suppose 2*g = 3*r - 4*r + 4, l = 5*r + 3*g. Solve -4 + 19 = -3*x, -28 = 2*w + r*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9501 + -9457. Sort 0, 1\/5, -22, c in increasing order.\nAnswer: -22, 0, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drzzrzzzrrzrwzr. What is prob of picking 1 w and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 0*k - 4*k. Let w = -8 - -9. Let f be n(w). Solve l - 2 = f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 57 = 19. Suppose 0*d + d = -w + 7, 5*d - 5 = 0. Factor -6*j + w + 3\/2*j**f.\nAnswer: 3*(j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*12*(-8)\/(-144)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/671580600 and -8\/3.\nAnswer: 671580600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92185?\nAnswer: 5, 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7*(-336)\/(-96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v*v\/(v\/v**(-1)*v)*v))*v))\/v**(-5)*(v**1)**(-37))**(-27) assuming v is positive.\nAnswer: v**864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/6)\/(1\/(4\/2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*a - 4*q, 4 = 6*a - 10*a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 10*l**2 - l + 13. Let v be p(10). Suppose 7 = -v*g - 5. Let b be 0\/(g\/(2 + 2)). Solve 3*r + 2 + 10 = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 10*o = -3*o + 5*d + 240 - 201, 4*o + d + 3*d = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 11. Let x(s) = -s + 5. Let w(b) = -2*f(b) - 5*x(b). Let a be w(-11). Suppose a*k = 9*k - 108. Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -566, -1340, -2406, -3758, -5390, -7296?\nAnswer: -9470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14733 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 2, -5\/67?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 1279?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let f be (w - 1)\/(1\/1). Suppose -8*u + 4*u + 64 = f. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzllzzzzzzz. Give prob of picking 2 l.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -97 (b) -4 (c) -2\/17 (d) 19 (e) 1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l + 6 = 20*l. Let i be 308\/(-21) - 2\/l. Which is bigger: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f**3 - 58*f**3 - 50*f**3 + 203*f**3 - 54*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022402949 rounded to 7 dps?\nAnswer: 0.0000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7324 + 12095. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45.76669g?\nAnswer: 45766690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -6, -2\/15, 0.09, 0.068, -2\/17, -1\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -787, -1197, -1625, -2077, -2559?\nAnswer: -3077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5969023, -11938039, -17907051, -23876059?\nAnswer: -29845063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323221 - -1033133?\nAnswer: 2023020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01296928 to five dps.\nAnswer: -0.01297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-1))\/(420\/(-84))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114821, -229672, -344559, -459488, -574465?\nAnswer: -689496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 39*t - 44 = 40*t, -55 = 5*d - 3*t for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**3\/3 + 18*s**2 + 254*s - 3308. Give i(42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/((-61)\/732)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 82. Let s = -11 + q. Let h(o) = 3*o - 27. What is the smallest common multiple of h(11) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513978 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 127 = -2*v + 117, -3*v + 365 = -4*f. Calculate the lowest common multiple of 2 and v.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -0.9. Let l = -0.3 - -0.4. Let v be (-1)\/(-3) + (-10)\/66. What is the nearest to l in v, b, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let x = -3 + z. Suppose -4*p + x*p = 3*y - 40, p + 2*y - 15 = 0. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.99 - 1.01. What is the third smallest value in u, -1\/19, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 360602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/24 + 5*n**3\/3 - n**2. Let b be s(8). What is the lowest common multiple of 3 and 3\/b*(-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 122247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 5, r: 5}. Give prob of sequence err.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304 is divided by 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1327575497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 311*b**3 + b**2 - 8*b + 8. List the prime factors of f(2).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2 - 13*j - 11. Let i be a(-4). Let h be 16\/(-10) - (-10 - i). Is h > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n*n)**23\/((n**(-5)\/n*n)\/(n**(-1\/4)*n)) assuming n is positive.\nAnswer: n**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-7)*j*j))\/(j\/(((j*j**(-2\/9)\/j*j)\/j)\/j))*(j**2\/j)**25)**(-48) assuming j is positive.\nAnswer: j**(-4000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 2. Let l = 6 + -6. Suppose 3*r + 6 - 18 = l. Let p be f(r). Solve -p*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132508377*f**4 + 119338681*f**2 wrt f?\nAnswer: 3180201048*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9964.76 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 18 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*u + u + 3*u)*(-7*u - 11 + 11) - 3*u**2 + u**2 + u**2)*(4 + 2*u - 4) as x*u + d + k*u**3 + v*u**2 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) 899\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-3*k - 2*k + 21*k)*(1 - 1 - 2*k**3).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 46715700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122578, 245118, 367674, 490252, 612858, 735498?\nAnswer: 858178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -3 + 30\/(-8). Put 5, -44, n in ascending order.\nAnswer: -44, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 123*t**2 + 741*t - 100. What is the hundreds digit of z(65)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from gkkgelggkeggkeglkkg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 16 = 2*s + y, 5*y + 23 = 4*s. Suppose 0 = s*l + d - 32, -2*l + 3*l - 3*d - 23 = 0. What is the highest common divisor of 85 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(4*s - 4*s - s)*(2*s**2 - 4*s**2 + 0*s**2)*(-18 + 11 - 16).\nAnswer: 92*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(3905\/4)*-10*(-5)\/20.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 578.1135mg?\nAnswer: 0.0000005781135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a + 558 = 0. What is the common denominator of ((-1344)\/(-1080))\/((-1)\/5) and (2\/9)\/((-4)\/a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1011.3 - -865.09. Let o = -149 - j. Let m = o + 3.96. Round m to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-66 + 18)) + -9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 361\/5 - -338\/35. Let i = 139 + -57. Let j = d - i. Which is the closest to 1? (a) 2 (b) 5\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2\/7 (c) -7.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 0.2. Let y = 57.67 + -58. Let b = f - y. What is b rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4130\/236)\/(63*(-2)\/(-540))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 + 2*u**2 - 1. Let n be p(2). Let j = 39 + n. Suppose 0 = k + 4*k - j. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 29*n**2 - 17*n - 43. Determine l(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4079\/44 - (9 + 11865\/(-1243))) + 3\/4\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p**2 - 4*p + 5534. What are the prime factors of k(0)?\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 34*x + 260. Does 10 divide d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15834835.09164619 + -15834835. Let l = 43.90844781 + x. Let g = l - 44. Round g to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:16 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/(236\/101775*-23).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = c, 3*t + c = 8*t. Suppose t = m - 0 - 2. Let w(z) = 4*z**3 + 3*z**2 + 2*z - 2. Let d(x) = 3*x**3 + 2*x**2 + x - 2. Determine m*w(l) - 3*d(l).\nAnswer: -l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7580065 (base 9) to base 8.\nAnswer: 17411047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (71244\/(-33))\/(-6) + (-2)\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124854953 to the power of 1\/3, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/60017 and -38\/87.\nAnswer: 5221479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3345 + b**2 - 3345 - 3*b**2. Let l(x) = x**2 - x. Let g(w) = -19*w**2 + 2*w. Let t(q) = g(q) + 2*l(q). Give t(h(d)).\nAnswer: -68*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 22*i + 2235. What is h(-68)?\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.557771mm in micrometers?\nAnswer: 3557.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r + 45*r = 2*j - 181, 5*r = -5*j - 335. Is r less than or equal to -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*q + 383095 - 383095.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/378612 and 61\/410163.\nAnswer: 4921956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 9. Let o be t(-10). Let q(s) = -4*s + 1. Let l be q(-5). Let i be (-1 - -5)*l\/(-28). Is i greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 18 - 16 + 12*t.\nAnswer: 12*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359 + 299. Let f = k - -843. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 9:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -174*x + 8846. Calculate r(51).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*18*-10. Let g = -73 + w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 1, r: 12}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h**2 - 17*h**2 + 19*h**2 - 49*h**2 - h**3.\nAnswer: -h**3 - 86*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 5*d - 30 = 0. Let k = d - -14. Let s = -2082\/13 - -160. Is k equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + y + 28, y = -5*b + 6*y - 60. Let x = b - -11. Suppose -4*k = -3*t - 16, -2*t - 4*k - x = k. Let f(v) = -2*v**2 - 5*v + 1. What is f(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13499 to three dps.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453210 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -572 + 2612. Suppose -19*n + 11165 = -c. What are the prime factors of n?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-437892.5\nAnswer: 3065247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:43 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + (-1 + 2 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675984276?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*n + 14 + 5, n + p = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -23*y**2 - 7*y - 5. Let s(t) = -t**2 - 1. Let c(d) = -a(d) - 6*s(d). Is c(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 4 - (13 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/2 + 1644*b + 1414584 = 0.\nAnswer: -708, 3996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56184742*j**4 - 9905*j + 14 wrt j.\nAnswer: 674216904*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/2 + 12399*n**4\/2 - 38439979*n**3\/2 + 38179641*n**2\/2 + 384276010*n = 0. What is n?\nAnswer: -4, 0, 5, 6199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 402 - 401. Let a(o) = 2*o - 1. Let s be a(2). Calculate the common denominator of (-71*p\/s)\/(-5) and -37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8279342 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240.81133 - 240.8. Round m to 4 decimal places.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4319 - 4323. Let d = 9 + -4. What is the nearest to 0.1 in d, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 900 and 142110.\nAnswer: 1421100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(704) - ((sqrt(704) - sqrt(704)*-2)**2 + 3 - sqrt(704))).\nAnswer: -64*sqrt(11) + 25356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**2 + 0*w + 1\/6*w**4 + 0 - 1\/60*w**5 + 1\/3*w**3. Calculate d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (4 + -5))*1. Let q(y) be the second derivative of -y + 0 - 1\/12*y**4 + 1\/3*y**3 + 0*y**o. Calculate q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.388 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-108))\/(1\/(-3)). Let r = 0.1 - -0.9. What is the closest to 1 in 5, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.69 - 17.29. Let x(o) = -o**2 + 4. Let i be x(4). What is the closest to 1 in i, u, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)*p*p*p\/(p**(1\/4)\/p*p))\/((p\/p**(-2\/7))\/(p*p**2\/p)))\/((p*p\/p**(-5\/4))\/(p**(-16)\/p))**(1\/41) assuming p is positive.\nAnswer: p**(3697\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c)*(-40*c**4 - 30*c**4 - 38*c**4).\nAnswer: 108*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - v + 87 = -7, 5*q - 5*v = 100. Let z(p) = 4 - q + 3 + 9 + 10*p. List the prime factors of z(8).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/35777 (b) 0 (c) 202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137143 minus 95000573?\nAnswer: -94863430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 - 20*j + 20*j.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -337 or 2.978?\nAnswer: 2.978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/5? (a) -0.2 (b) -0.43 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.29753 months to decades.\nAnswer: 0.23581275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1107204 and 112980.\nAnswer: 5536020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 12. What is the remainder when x(-6) is divided by (-3)\/(-6) + 25\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/30)\/((-2)\/(-6)). Suppose -t + 108 = -w*v, 5*t - 3*v - 396 = 110. What is the highest common factor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/49)\/(((-2)\/(-98))\/(79\/158)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29150, 31553, 33956, 36359?\n\"Answer: 2403*x + 26747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*c = -187 + 991 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 352, 4, -1721 in increasing order.\nAnswer: -1721, 2, 4, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -1, -2, -478 in descending order.\nAnswer: 41, -1, -2, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 11902 and 0.04 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27145649 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-108)\/5040)\/(20\/455).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k - 4*g = -1, -4*k = 2*g + 10. Let t(l) be the third derivative of -l**6\/120 - l**5\/30 + l**4\/12 - l**3\/3 - l**2 + 8. Determine t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1389*m + 73. What are the prime factors of t(-48)?\nAnswer: 5, 7, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 0*w - 6*w**2 + 6*w - 9*w.\nAnswer: -6*w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -13. Let y(g) = -7*g + 4. Let b(u) = 6*u - 3. Let o(l) = r*y(l) + 5*b(l). Let c be o(2). Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/351470 and 65\/6?\nAnswer: 1054410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o. Let p(s) = -702*s. Calculate p(n(c)).\nAnswer: -4212*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110 - 111110?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by -460.\nAnswer: -107\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 909+11447231988\nAnswer: 11447232897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001\/15480 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let g(s) = -2*s**2 + 0*s**2 + s**2 + 4 + 2*s + 0*s**2. Let p be g(-1). Sort a, -2, p in decreasing order.\nAnswer: a, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*d + 2, 0 = -0*n + 2*n + d + 6. Let p be (-4)\/(-3)*(-6)\/n. Suppose 4*m - 22 = -2*q, -q - 47 = -4*m + p*q. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 16, -518, -2.\nAnswer: -518, -9, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = -s. Let i(q) = 137*q**2 - 44*q**2 - 43*q**2 - 55*q**2 - q. Give i(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s - 2. Let g be y(-2). Let m = g - -29. Suppose -5*r = 3*c + 20, 0*c = -2*r - 3*c - 17. Is r < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 34501417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -77, 0, -2 in increasing order.\nAnswer: -77, -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5319, 4783, 4233, 3663, 3067, 2439?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 467\/70 + -216\/35. Let z(x) be the second derivative of -15*x + 0 + p*x**3 + 6*x**2. Differentiate z(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**14)\/g**(-4\/7)*(g*g*g*g**(-3\/2))\/(g**18*g*g) assuming g is positive.\nAnswer: g**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10689650 rounded to the nearest 10000?\nAnswer: -10690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(7 - 2 - 4 - 35*a).\nAnswer: -35*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -57. Let x = 53 - t. Let y(v) = -7 + 5 - 4*v + 2*v**2 + x*v**2 - 7*v**2 + 2*v**3. Let s(z) = -z**3 + z**2 + z + 1. Calculate -3*s(h) - y(h).\nAnswer: h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 5*m - 3. Let d be k(4). Let v(i) = -i**2 + 2*i. Let n(l) = -l**2 - l. Let j(p) = 11*p - 428. Let u be j(39). Calculate d*n(q) + u*v(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:32 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/458 and 91\/7676.\nAnswer: 1757804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -1\/60*w**5 + 0*w + 0 + 107*w**2 + 1\/12*w**4 - 1\/6*w**3 + 1\/12*w**6. Determine n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*s - 4*q + 2, s + 2 = q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**3 - 5*b**2 - 13*b - 5. Let n(f) = -8*f**3 + 2*f**2 + 7*f + 3. Determine -5*n(x) - 3*o(x).\nAnswer: -2*x**3 + 5*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4\/9 - 400*l**3\/3 + 27176*l**2\/9 - 40000*l\/3 - 39808 = 0.\nAnswer: -622, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -563751733 + 563751676.0000143. Let i = c - -57. What is i rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-46 - 0) - (-12 + 5 + 13).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34683 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**6\/120 - 124*h**3\/3 + 266. Let n(f) be the third derivative of o(f). Let r(b) = 24*b - 1. Calculate r(n(l)).\nAnswer: 72*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824*r**3 + 726*r**3 - 2 + 2.\nAnswer: 1550*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 670211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*b + 7*b - 2*b**3)*(-338*b + 1 - 2 + 337*b) to q + j*b + h*b**4 + g*b**3 + l*b**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a - 178. Let r = a + -61. What is the remainder when r is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6272.9 + 6006. Let a = p + 211.94. Round a to 0 decimal places.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99403696 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:39 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 3*q - 3. Let c be k(5). Let m = 18 + c. Let i = -5 + m. Solve 5 = -d - i*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*x**4 - 180*x**3 - 138*x**2 - 36*x - 3.\nAnswer: -3*(x + 1)**2*(5*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 15958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189405, 4, 9, 5, 19 in descending order.\nAnswer: 19, 9, 5, 4, -189405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*w**3 + 205*w**2 + 360*w + 180.\nAnswer: 5*(w + 1)*(w + 6)*(5*w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((484\/77)\/(-11))\/(1*(-2)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (-171)\/153.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.023 in 2\/33, 133, 2\/7, 0.5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1610 = -3676*q + 3637*q + 284 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 11. Let f(q) = 5*q + 45. Let d(z) = -2*f(z) + 9*n(z). Let s be d(4). Solve 0 = 5*r + 5 + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 1723\/9497 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 770*k**6*t**2 - 30*k**6 - 3*k**2*t**2 + 5*k**2*t + 1151*k*t**2 - t**2 wrt k.\nAnswer: 92400*k**3*t**2 - 3600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-12)*(0 + 2). Suppose -3*t + v + 5 = -9, -t - 2*v = w. Suppose 0 = -a - 4*a - 2*g + 1, t*g + 9 = 3*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (66 + -2)*(25\/10 + -2). Suppose 4*p + 4 = w. Calculate the remainder when 97 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 + 20*i**4 - 72*i**3 - 80*i**2 + 224*i = 0?\nAnswer: -7, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 160200*x**2 - 1604643108*x + 12826894112.\nAnswer: -4*(x - 20021)**2*(x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**5\/20 + 11*o**4\/12 - 13*o**3\/6 - 3*o**2 - 2*o. Let d be h(-12). Suppose -3 + d = 3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 6*f**2 + 7 - 12 + 5.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 6. Let q be o(3). Which is smaller: q or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - -1.2. Let y = x + -1.9. What is y rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 14. Let i be o(-6). What is the smallest value in 2\/13, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137*-190\nAnswer: -26030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7164 and 597.\nAnswer: 7164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*27\/2*(-629)\/1887.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122741751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((0 - -10) + -4). Let l be 14\/(-21) + ((-94)\/p)\/1. Let f(t) = t**2 - 8*t - 7. What is the units digit of f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Let j be -1*z*(3 - 3). Solve j = -4*v + v - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -747 + 821. What is the greatest common divisor of 3182 and j?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, u: 3}. Give prob of sequence vuv.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 9, -126, -6, 8.\nAnswer: -126, -6, -1, 7, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 34, 2302\/3, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4047, -4088, -4153, -4254, -4403?\nAnswer: -4612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(147) + -4)**2 - sqrt(12)\/(sqrt(48)\/(-1*sqrt(12) - sqrt(12))).\nAnswer: 16*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d. Let w(x) = -4. Let g(m) = m + 6*m - 2*m - 4*m - 9. Let h(u) = -4*g(u) + 9*w(u). Determine k(h(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454412 divided by -484804?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05059 and 18912462109?\nAnswer: 18912462109.05059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -45 (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 38*t - 17. Let s(b) = b**2 - 13*b - 6. Let h(q) = 6*j(q) - 17*s(q). Let z be h(7). Solve -10 + z = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81796396*z**2 + 163592835*z**2 - 81796436*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6 - -5 - -7) + (4 - 1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 5\/2 (c) -2\/239 (d) -0.026789 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, f: 1, h: 1, t: 1, u: 1}. What is prob of picking 1 h, 1 u, 1 t, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113958*l + 91106*l - 127673*l.\nAnswer: -150525*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253000.3 months in millennia?\nAnswer: 187.750025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 4. Let h = 28 - k. Is h + 0 + 1 + -1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 8*w**2 + 8*w - 5. Let g = -31 + 22. Let u be k(g). Put u, -2, 2 in decreasing order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 65*k**4\/24 - 3*k**3\/2 + 70*k**2. Let z(s) = -2*s + 2. Let r(w) = -x(w) - 6*z(w). What is the derivative of r(t) wrt t?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5589310051?\nAnswer: 13, 1777, 241951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.27 + 0.07. Let j = -0.2 - a. Let m = -209\/645 - 2\/215. What is the third biggest value in m, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45304 or -44393?\nAnswer: -44393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3561*x**2\/4 + 370289*x\/2 - 5720.\nAnswer: (x + 208)*(3561*x - 110)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489532?\nAnswer: 2, 17, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.0044 centuries to millennia.\nAnswer: 5.40044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -219, -1271, 7, 1, -2 in descending order.\nAnswer: 7, 1, -1, -2, -219, -1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) 1101 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h**2. Let x = 87 + -78. Let i(q) = -q + x*q - 5*q. Give w(i(o)).\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-3)\/42)\/((-9)\/45))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**3 + 78*t**2 + 4984*t - 82638306?\nAnswer: 18*t**2 + 156*t + 4984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-7 + 4)*-2. Suppose k = 3*o - 9, 4 - 11 = 3*k - i*o. Suppose -573 = k*l - 6*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 - -14 - (-5)\/25*-5 - -43958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.2 (b) -4\/5 (c) 7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:51 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 3*c**2 + 10*c + 24. Suppose 0 = 39*d - 41*d + 3*w + 11, -d + 2*w = -5. What is the hundreds digit of v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 - 139. Let r be 6\/15 - 16\/(-10). Is i bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p + 6*p**2 + 12*p - 29*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153088 is divided by 177.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 320975, 641963, 962951, 1283939, 1604927?\n\"Answer: 320988*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9245 or -0.013?\nAnswer: -9245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1049 = -12*l + 13423. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1610751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.79 times 0.000778?\nAnswer: -0.00139262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 28. Solve -3*h - h - 4*k = n, 2*h - 7 = 5*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 12) in base 14?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.3172366 - -1203.\nAnswer: 1218.3172366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*r + 11, -12 = -4*i + r - 5*r. Let d(f) = -i*f + 2*f - 6 + 4*f - 7*f. Is 21 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/12 - 7*m**3\/3 - m**2 + 52*m. Calculate d(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**5 + 58*g**4 + 142*g**3 + 128*g**2 + 24*g = 0.\nAnswer: -3, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 14. Let w be 36\/(-6)*1\/d. Solve m + w = 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l = 37*l - 3408. Let j = 22 - -77. What is the remainder when l is divided by (-2)\/(-8) - j\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**0\/r))**13\/(r**1)**10 assuming r is positive.\nAnswer: r**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73288490 to the power of 1\/2, to the nearest integer?\nAnswer: 8561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/6)\/k**1)\/(k**(3\/8)*k*k*k*k\/k**(-1\/7)*k*k) assuming k is positive.\nAnswer: k**(-1403\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -5 in descending order.\nAnswer: 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(2\/188). Let d = -140\/3 + p. Let v be (3\/(-5))\/((-114)\/665 + (-6)\/14). Which is bigger: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -2. Let g = 23 + v. Let k be 1 + -1 - (-36)\/2. Solve -2*l = -l - 4*o - g, k = -2*l - 2*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-35)\/(-45)*72\/(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2 - 0.17.\nAnswer: -2.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 35692*q + 64 + 61 - 210)*(3 - 3 + 1) + 1 - 1 - q.\nAnswer: 35691*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/147 and 19\/686.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Sort m, 6, -1 in ascending order.\nAnswer: -1, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -27*l**2 + 1607*l + 1034. Calculate t(60).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14110, -14091, -14048, -13969, -13842, -13655?\n\"Answer: 2*c**3 + 5*c - 14117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s**2 - 1299*s - 5245. Give i(-4).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6776 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*r = 243*r - 71*r + 1259 + 1911 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -261*g - 16 + 17 - 2. List the prime factors of l(-1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272695401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssm when three letters picked without replacement from {v: 3, m: 4, a: 1, s: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wssssw. What is prob of sequence wss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/6, -1, -0.5, -5\/212, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/84)\/((-296)\/(-3108)))\/(3\/138)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i**4 + 39*i**4 + 98*i**4 + (0*i + i + 0*i)*(-3*i**3 - i**3 + 2*i**3) as h + w*i**3 + n*i**2 + y*i**4 + g*i and give y.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 1927858 = 810578 - 1246206. What are the prime factors of o?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 17*s**2 - 62*s - 55. What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 15*h**2 + h + 22. Let n = 147 - 162. Let g be k(n). Solve -g*r + 10 = -18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = v + y, 0 = -3*v - y - 377 + 1000. Which is smaller: 205 or v?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 23*o - 11*o - 12*o + 4*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245646 is divided by 1445?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - -0.02. Which is the smallest value? (a) p (b) 2\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 97358\/3221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4225878.3 rounded to the nearest 10000?\nAnswer: -4230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 45. Solve 1 = 3*u + r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iep when three letters picked without replacement from {p: 4, x: 5, v: 1, e: 5, a: 2, i: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -261592, -523288, -785088, -1046992, -1309000?\n\"Answer: -52*u**2 - 261540*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*747\/332*6*(-12)\/(-27)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/39 + -2\/39. Let c = -9.886 - -10.286. Put 8, -0.6, l, c in decreasing order.\nAnswer: 8, c, l, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2 + 186159*l + 273966 wrt l.\nAnswer: -4*l + 186159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:48 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21407 divided by 10531.\nAnswer: -21407\/10531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 4*h + 3. Let p(s) be the second derivative of s**4\/6 - 5*s**3\/6 + 2*s**2 - 4*s - 57. What is -7*f(k) + 6*p(k)?\nAnswer: -2*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1412 and 44.\nAnswer: 15532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108168 divided by -6187?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, -4, -15.4, 1\/6, -8, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3603 + -760. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 8. Let j(v) = -v**2 + 8*v - 10. Let d be j(5). Let g be x(d). What is the remainder when 4 is divided by (6 - 3) + 0\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w**3 + 51*w**2 + 16*w - 56. Let d(p) = 7*p**3 - 17*p**2 - 5*p + 19. Let t(k) = 17*d(k) + 6*i(k). Is t(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/309322 and 55\/338?\nAnswer: 4021186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {f: 4, o: 4, l: 5, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 19*a**2 - 15*a - 97. Let i be o(-2). Put -3\/8, i, -0.5, 5, -1\/13 in increasing order.\nAnswer: -0.5, -3\/8, -1\/13, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*h - 9 = 0, -4*n + 417 = -h + 400 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2)\/((-204)\/(-1088))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10286, -10300, -10316, -10334?\nAnswer: -10354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/72 and (5 + 2105\/(-40))\/(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-3*(sqrt(1872) - (sqrt(1872) + 1 + sqrt(1872)))*4 - (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + -2*sqrt(1872)*-6)))*-6)**2 + -5.\nAnswer: -16376690 + 46656*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:55 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 104242 from 5473.\nAnswer: -98769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5564076 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-6))\/((-1)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6 + 0 + 4 + 4*m + 3. What is d(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16771545 and 3391605?\nAnswer: 11655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 - 28*f**3 + 534.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 19 = -21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/137, -5, -3\/2, -5\/13, -4\/5 in descending order.\nAnswer: -1\/137, -5\/13, -4\/5, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(117))\/sqrt(9))**2.\nAnswer: 20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = i + y - 5*y, 2*i - 10 = 2*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361508 + 483392 = 52*v - 47888. List the prime factors of v.\nAnswer: 3, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 55*p + 42*p. Let d(m) = 4*m - 8*m + 5*m. Determine c(d(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2436?\nAnswer: -1\/1218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22137 - 22131 = -r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.480106 minutes to seconds.\nAnswer: 148.80636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/13 - 285430*p**4\/13 - 856276*p**3\/13 - 570848*p**2\/13 = 0.\nAnswer: -142712, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28840 and 840?\nAnswer: 86520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, c: 4, l: 4}. Give prob of sequence plpc.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-3 - 0) - ((14 - 2) + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 34 = 18*d. What is the nearest to d in -9, -1\/6, -0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17389 and 156514\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12050719 + 0?\nAnswer: -12050719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320 + -109. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 23 = -a. Let m = 5766 - 5766.5. Suppose 6 = -0*h - 3*h. What is the nearest to 2\/5 in m, h, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1446295, 1446294, 1446293, 1446292, 1446291?\n\"Answer: -r + 1446296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 48?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21382594913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 160, 321, 482, 643, 804?\n\"Answer: 161*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 548 - 364. Is 76 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.077 - 44.077. Let r = k - -87. Let l = -43.00078 + r. Round l to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let k be (6\/116)\/(3\/4). Let a = 33\/58 - k. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2416?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 91*d - 57. Determine i(46).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 56*r + 310. Let k be f(-5). What is the greatest common divisor of 750 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Suppose 5*x - 15 = -5*n, 2*n + 5*x - 21 = 3*n. Let c(t) = 20*t + 2. Let l(k) = -62*k - 9. Let z(w) = -3*c(w) - l(w). Determine n*g(m) + z(m).\nAnswer: 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 2:05 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 397 + 2006*b**2 + 438 - 835 to g*b + y*b**2 + t and give y.\nAnswer: 2006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, y: 4, p: 3, z: 3, g: 2}. Give prob of picking 3 y and 1 z.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let o(w) = 15*w**2 + 17*w. Let t(f) = 5*f**2 + 6*f. Let v(i) = 6*o(i) - 17*t(i). Give b(v(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**3 + 6*d**2 + 3*d + 6. List the prime factors of g(-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.4. Suppose 5*b = -0*v - 4*v + 3, b = -5. Let i be 4\/(-22) + v*34\/(-22). Sort -1, f, i in ascending order.\nAnswer: i, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12004 (base 6) in base 3?\nAnswer: 2101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -6, 12, -2, -280, 6.\nAnswer: -280, -6, -2, 5, 6, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.8? (a) -1\/2 (b) -83 (c) 5 (d) 1\/4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**2 - 3*w. What is t(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 616 = -806. List the prime factors of w.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**3*w - b**3 - 1293*b*w + 2*b + 69 wrt w?\nAnswer: 3*b**3 - 1293*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 0 + 2 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -3\/7, 0.2, 7 in descending order.\nAnswer: 7, 4, 0.2, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 7*n + 2*n. Suppose -3*r - 3*g - 5 = n, 3*g = r - 6. Let l(s) = 4*s**2 - 3*s - 2. Let a(z) = -z**2 + z. What is r*a(c) - l(c)?\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*c + 4*p, 4*c = 3*c + 5*p + 16. Let h be (-1)\/((-68)\/c + 4). Suppose h*l + 765 = 13*l. List the prime factors of l.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -62.9 (c) -142\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13237, 26480, 39725, 52972, 66221?\n\"Answer: c**2 + 13240*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026336979 rounded to six dps?\nAnswer: 0.026337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*a + a**4 + 3*a**3 - 1 - 11*a - a**2 in the form y*a**4 + p*a**3 + d + b*a**2 + q*a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5328 (base 12) in base 16?\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1*sqrt(1053) + sqrt(1053))*4)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(156) + -5*(sqrt(156) - (sqrt(156) + (sqrt(156) - -2*sqrt(156)))))*-5)\/(-1*(sqrt(1728)*-2 + sqrt(1728))))**2.\nAnswer: 10400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 + 2 = 0. Let a = g + 2. Suppose -5*i = -20, -3*i + 43 = 5*t + 16. Solve 2*d + 3 + a = -t*l, -l + 12 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + -3 + 131. Let h = k + -130. Is h bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*w = -3*s + 988, 5000 = 5*s - 5*w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 193 = -5*k, -4*a - 4*k + 305 = 113. Suppose 4*w + 0*u - a = u, 3*u - 46 = -5*w. Solve -2*l + w = 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427702, 855391, 1283080, 1710769, 2138458, 2566147?\nAnswer: 2993836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 108*r + 211*r - 105*r.\nAnswer: -2*r + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-2))\/(1\/(-2)). Let n be (45\/105)\/(22\/7 + -3). What is the smallest value in n, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128799 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 + -1)\/(-6))\/(6\/(-168)). Let a(c) = 2*c + 5. Let l be a(7). Let i = x + l. Solve i*q + 37 = 4*t, 30 = -5*q + t + 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 95 - 21. Let n = -34 + w. Suppose -4 = n*m + 8, 5*j - 2*m = 13. Solve g = 5*x + 4, -3*x = x - 5*g - j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 14 = 5*z + 3, -1 = k - z. Suppose 3*y = k - 9. Which is greater: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.437607 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 - 380*i\/7.\nAnswer: -4*i*(i + 95)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.03 - -0.03. Let g = -500.137 + 500. Let l = g - -17.137. Put 2\/3, l, a in decreasing order.\nAnswer: l, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 76 + 31 = 52 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 8. Let w be g(12). Suppose n + 2*z - 16 = -0*n, -36 = -w*n - z. Let q be n\/36 + (-104)\/(-18). Solve 0 = v - q*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 736*v - 3246*v - 122990 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123 + 57*o + 54*o + 59*o - 171*o + 266 to p*o + k and give k.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4\/5, 10\/61, -1.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, j: 11}. What is prob of sequence jwj?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = j + 15, 2*j = -2*b + b + 3. Let l(k) = 2*k**3 - 7*k**2 + 2*k + 3. Let o be l(5). Calculate the greatest common divisor of b and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y - 10735 = -13777 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 253\/17 - (-2)\/17. Let k be g\/4*(-2)\/(-20). What is the third biggest value in 16, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/7 - 20*x**4\/7 - 8*x**3 - 48*x**2\/7 = 0?\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/6 + q**2\/2 + 14*q. Let y(r) = 21*r**2 - 7*r - 2. Let z(m) = -2*u(m) - y(m). Find the second derivative of z(j) wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1865, -1864, -1863, -1862, -1861?\nAnswer: -1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (4 - 1 - 12). Suppose 5*p + 4 = -3*h - 26, 4*h = 0. Let x be o\/p*(-6)\/4. Which is the smallest value? (a) -2 (b) x (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r - 1. Let t(m) = 3*m**2 - m - 11. What is 4*p(g) - 2*t(g)?\nAnswer: -2*g**2 - 2*g + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 2. Let b(d) = 4*d - 2. Let s(n) = -4*b(n) - 3*w(n). Let p be (-84)\/(-15) - (-2)\/5. What is s(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {y: 8, c: 1, b: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 354 - 598. Let q = 244 + w. Solve -2*k + q*t + t = 6, -3*k = 5*t - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 9*y + 14. Let a be z(-10). Suppose -a*j + 69 = -3*x, -j - 2*x + 5*x = -24. Let t = j + -3. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 14*a - 71743 = 23437. List the prime factors of a.\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112212220 + -11?\nAnswer: 112212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 531073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 67. Let l be (-6 - -9) + c\/(-3)*3. Solve l*j - 14 = 2, -j = -2*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3871603170 to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.072, 5, 1, -1, 3.29 in descending order.\nAnswer: 5, 3.29, 1, 0.072, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2300900 to the nearest ten thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + h - 66. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4898\/235 - 96\/47. Put -0.2, 3\/7, -0.4, f in increasing order.\nAnswer: -0.4, -0.2, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/525272 and 37\/2495042.\nAnswer: 9980168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40897 is divided by 684.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49959 + -49974.9983. Let v = j - -16. Round v to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(650) + (sqrt(650) - (2*sqrt(650) - sqrt(650) - sqrt(650))) + sqrt(650) - sqrt(650))*2)\/(-5*sqrt(8)\/(sqrt(4)*-2))*-6.\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 904 = 104*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2892792 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2214834 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in -0.3, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h + 60*h - 24*h as d*h + t and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -71600?\nAnswer: 71599.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -2 (c) 61 (d) -0.06 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((7 - (10 - -14)) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:57 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (34\/51)\/((-4)\/1158). Let r = 213 + i. What is the remainder when 79 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5850*u - 5850*u + 37*u**3)*(-1 + 1 - 3*u**2 + u**2 + u**2 - 3*u**2 + (3*u - u - 4*u)*(-3 - u + 3)).\nAnswer: -74*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -416296.9981 to the nearest 10.\nAnswer: -416300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 15. Let y = h - -9. Solve -5*w + 3*w + 12 = 2*t, y*w = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -15, -18, -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2842446 is divided by 947465.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 0.2 (b) 0.1 (c) 3\/254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652629749 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: Which is bigger: 1 or 3\/374926?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let m(n) be the first derivative of 50*n**3\/3 - n**2 - n + 23. Is m(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144067 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 18*r**2 - 240*r - 99. Determine k(27).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2378268412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11 - 104 + 69*a**2 - 34 wrt a.\nAnswer: 138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368251.2ug in tonnes?\nAnswer: 0.0000003682512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 12*n**2 + 3*n + 8. Let h be w(12). Suppose 2*s + 44 = 4*f, -3*f - 3*s = -7*f + h. Solve -3*l + d + f = 0, 3*d + 10 = 2*l + d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -971*d**5\/2 + 1939*d**4\/2 - 965*d**3\/2 - 3*d**2\/2.\nAnswer: -d**2*(d - 1)**2*(971*d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 57.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-935))\/(2\/(-3)*(-7)\/140)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let u = 48.6 + -49. Which is the closest to l? (a) 1 (b) 1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 81*c + 33. Let h(f) = -5*f - 2. Let y(l) = -99*h(l) - 6*q(l). Let d(p) = -2*p**2. Determine y(d(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 335 and 148.99?\nAnswer: 49911.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89684, -89617, -89514, -89375, -89200, -88989?\n\"Answer: 18*b**2 + 13*b - 89715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/120)\/((-24)\/(2280\/(-133))).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let m = x + -2. Let v be (4\/(-30) + (-22794)\/5895)\/6. What is the nearest to m in -1, 0.3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 16600\nAnswer: 66400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 2*c + 4. Let x(r) = 5*r**2 + 7*r - 10. Give 11*b(v) + 4*x(v).\nAnswer: -2*v**2 + 6*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (150\/(-60))\/(8 - (-523)\/(-66))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*4)\/(sqrt(45)\/sqrt(20)) + ((sqrt(36)\/sqrt(96))\/(-2*sqrt(72) - sqrt(2)))**2.\nAnswer: 3\/2704 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 335905, 2687232, 9069385, 21497776, 41987817, 72554920, 115214497, 171981960?\n\"Answer: 335902*p**3 + p**2 + 10*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.1, 5, -5906, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 3813*v**3 + 5*v - 15*v + 13*v**2 + 6*v**2 + 3814*v**3.\nAnswer: v**3 + 15*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*o + 29*o = 5733 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 24.9. What is the second smallest value in 5, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 6. Let o = -128772973.0000059 - -128772983. Let l = g + o. What is l rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 4*w**3 - w**4)*(-10*w + 0*w + 3*w) + 4*w**5 + 4*w**5 - 6*w**5.\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258 - 165. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -20*l**4 + 76*l**3 - 48*l**2 = 0.\nAnswer: 0, 4\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -997527 > -0.89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20861*y**2 + 7*y + 862?\nAnswer: -41722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -33, -129, 3, 0, 1 in decreasing order.\nAnswer: 3, 1, 0, -1, -33, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**7\/2520 + n**6\/120 - n**5\/120 + n**4\/12 + 8*n. Let f(a) be the third derivative of t(a). Give f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13204*l**3 - 13212*l**3 + 26418*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 181801648 and 42.\nAnswer: 545404944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*u - 96*u + 42 - 35*u**2 - 93*u wrt u?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:37 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12070612 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11950*d + 3*d**2 + 11950*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - -46) + (1 - 0) - (-1 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 10*n + 6. What is the lowest common multiple of 22 and m(-10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42510 and 435.\nAnswer: 1232790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/225*15*21*12\/168*10.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195888 and 59784?\nAnswer: 9206736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 + 40*z**2\/7 + 111*z\/7.\nAnswer: z*(z + 3)*(z + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose a + 41 = m*a. Suppose 7*g - 28 = 21. Calculate the remainder when a is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636650460?\nAnswer: 2, 5, 131832523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 17 - (2 - 1). Let m = 3634\/3 + -1211. Is s greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sksuksukk. What is prob of picking 2 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1378210 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411 or -1717?\nAnswer: -1717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518936 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 713480408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - w = 25, -u + 20 = -4*u - w. Which is the closest to 1\/4? (a) u (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (134 - (-1 + 0)) + -1. Let c be 1 - h*(-3)\/(-360). Let k = c + -2\/15. What is the closest to 1 in -5\/3, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, p: 11, q: 2}. Give prob of picking 1 q and 2 a.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1111, 5, -3, -4.\nAnswer: -1111, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.221 meters to micrometers.\nAnswer: 46221000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Let h = 198.06 - 193. Let q = h + -4.76. Which is the closest to 2? (a) j (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*x - 22*x + 3290 = 148*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**3 + 39*x**2 + 6*x + 17. What is b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33868?\nAnswer: 2, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*((3 + sqrt(833))*-4 + sqrt(833)*1 + 0)*2)**2*-6.\nAnswer: 1306368*sqrt(17) + 19805472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 0)*(4 - 3). Suppose -5*v + r*q + 15 = 0, 5*v + 2*q = 4*q + 15. Let s be (68\/6)\/(v\/(-13500)). Round s to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 25 = 0, -4*z + 2*z - 5*n = -33 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 6*q - q + q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odxd when four letters picked without replacement from {s: 2, x: 3, z: 5, o: 3, d: 3}.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1561*l**3 - 221*l**2 + 223*l - 2. What is b(1)?\nAnswer: -1561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 8:54 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.8 + -0.2. Let g = 2 + n. What is the second smallest value in -0.5, g, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36444 (base 14) in base 10?\nAnswer: -132556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h - 4\/3*h**3 + 0*h**2 - 2. What is the derivative of j(z) wrt z?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 5*b - 2, 3*t = 5*b + 21. Let n(j) = 9*j - 4 - t - 4*j - 6*j. Let o be n(-15). What is the closest to o in 4, -0.01, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 6. Let h be 0*3\/6 + -8. Let a be -1*(1 + h + 3). Let q be v(a). Solve 0*c - w = c + 1, -w = q*c + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.026, 0.18, 3\/2, 1 in ascending order.\nAnswer: -0.026, 0.18, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -5*w**2\/2 + 7*w + 9. Let h(b) = -2*b + 3. Let n(s) = 3*f(s) - 7*h(s). Let i(p) = 2*p**2. What is i(n(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybexbxxxxmmxqqmbyxxx. What is prob of sequence bxbq?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - 10 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - -7) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 16.09 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 27 (b) -1 (c) 13 (d) 0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 3 + 0*p - p. Suppose 2*x = -226 + 236. Let s(j) be the second derivative of j**3\/3 + j**2 - 4*j. What is x*s(u) + 3*i(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*i**3 - 1190*d*i**2 + d*i + 13*i**3 - 10*i**2 + 27433*i - 4 wrt i?\nAnswer: 12*d*i - 2380*d + 78*i - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((1 - 0) + 3 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568586104?\nAnswer: 2, 37, 307, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 - 90 = -66*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*d - 15121 = 2*i, 3*d = 4*i - 30239. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (261\/12)\/(21\/644) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1211 + -1209.604. Round y to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 1, v: 7, b: 1, t: 1}. What is prob of picking 3 w and 1 t?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u, -5*b - 3*u = -745. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36915 - 9218 - 2*g**3 - 9227 - 9225 - 9217.\nAnswer: -2*g**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*m\/(m*m**(-23)))\/m*m*m**(-2\/13)*(m*(m*m**(1\/7))\/m*m)\/m**(1\/19) assuming m is positive.\nAnswer: m**(46573\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -702*g - 221. Let x(w) = -19*w - 6. Calculate 6*r(o) - 221*x(o).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -3338\nAnswer: -10014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -990?\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -84*105\/252*(-3)\/(-3)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*sqrt(272) + 0.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -1 + -35)*-1. Let s = -12 - -17. Suppose -4*c = p + 8, s*p - 4*c - g = 45. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 3*i = 5*t - 19, -3*t - i = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/20 + 5*h**4\/4 + 11*h**3\/3 + 892*h**2. Determine s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - -10. Suppose -29 - f = -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: Is 1258441 smaller than 1258476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*h = -277*h + 10430 + 1901 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3812802 and 5?\nAnswer: 19064010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/32 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108420038 and 72406?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**4\/24 + 3*z**3\/2 - 122*z**2. Let y be c(7). Solve -y = -3*w - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 27, 15, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*0\/(-3) - -40. Let f(q) = -q**2 - 12*q - 122. Let o be f(-16). Let x = o + 194. Calculate the greatest common factor of v and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11 = -5*y - 0*y, 1 = -v - y. Are 2\/1245 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7366.768 + 0.4.\nAnswer: 7367.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = 0, 4*w - 4 = 4*p - 8. Is ((-46)\/(-5))\/((p\/(-5))\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4001*r**2 - 24. Let a(n) = 44243063*n**2 - 265386. Calculate 4*a(o) - 44231*h(o).\nAnswer: 4021*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3520.54 + -3487. Round m to zero dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-69)\/(-228)*-2 + (-4)\/(-38). Let i be 6\/8 + (-184)\/160. Let h = -34\/7 + 415\/84. Which is the closest to i? (a) -5\/6 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eezs when four letters picked without replacement from {t: 3, e: 2, s: 3, z: 3, q: 4, m: 1}?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + 3*z**3 + 2*z**2 + 2*z**4 - 6*z**3 - 36 + 37 as s*z**4 + n*z**3 + j + x*z + i*z**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, -23, 4, 1.94, 0.4 in ascending order.\nAnswer: -23, 0.4, 1.94, 4, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 223, 440, 649, 850?\n\"Answer: -4*p**2 + 229*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-3) - (-1)\/(-3). Suppose 20 = 5*i - 0. Suppose -p*b + 20 = -i*b. What is the greatest common divisor of 15 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 52*y**2 - 33*y + 931. Determine k(-51).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/36*-2)\/((-27)\/6 - -4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 120*r**3 + 2*r - 1. Let s be i(1). What is the greatest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 8. Solve 4*r - f = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.11, -0.04, -3 in increasing order.\nAnswer: -4, -3, -0.11, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - (13 + 26)) + 27 + (10 - 3 - -2).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab (base 12) to base 10.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-7 + 16 + -6)) + 11 + -44 + 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/1140 and -47\/2340?\nAnswer: 44460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8)\/(21\/(-6)). What is the third biggest value in -2\/5, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840*i + 275544 = -76*i + 1372*i for i.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.12, 11\/3, -306?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17332348 - 2.527.\nAnswer: -17332350.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11936 + 11140. What is the tens digit of u\/96 + 2*(-9)\/48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 18*1 - -2. Suppose -37 = 5*b - d, 2*d - r = 3*b + d. Let i = 11 + b. Calculate the remainder when 8 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 26*x**2 + 4974*x + 449. Calculate k(59).\nAnswer: -1970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 != -351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-2 + -1))\/((-84)\/14). Which is the third biggest value? (a) 0.2 (b) 3 (c) n (d) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + -4. Suppose -76 = -5*b - 4*k, -65 + 1 = -4*b - 4*k. Let n = b - x. What is the greatest common divisor of 55 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 17*i - 12. Suppose -3*z + 3*p = -27, -6*p = 3*z - 2*p - 34. What is the tens digit of o(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 3. Let i(a) be the third derivative of -5*a**4\/8 + 5*a**3\/3 + 14*a**2. Let x(o) = -10*g(o) - 3*i(o). Let t(l) = -8*l**2. Give x(t(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2*u + 136*q**2 - 3*q*u - 4*q + 8*u wrt q.\nAnswer: -4*u + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/4)*r\/(r*r**(-4\/3))*r*r\/(r**(-6)*r)*r*r\/(r\/((r*r*r**(-2\/11)*r)\/r))*r assuming r is positive.\nAnswer: r**(1637\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 108*u**2 - 13. Let i(x) = 27*x**2 - 3. What is -2*c(q) + 9*i(q)?\nAnswer: 27*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -29498411.47665405 and 0.5.\nAnswer: -29498410.97665405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45983, -59820, -73657, -87494, -101331, -115168?\n\"Answer: -13837*l - 32146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -690 to the nearest 10.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 186\/7 + (-216)\/378. Which is the fifth biggest value? (a) j (b) 0.4 (c) -0.1 (d) -2\/19 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 34 = l. Suppose -3*v + 5 + l = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268173 less than 267687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 3692?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1402 - 1402.000001826. What is s rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1058*y + 3. Let b be w(4). Suppose -2*c + 10 = 3*c, 3*k + c - b = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (57 - 14) - (10 + -22)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -633 by -1.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -16a74?\nAnswer: -16a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 6266530.\nAnswer: -56398770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*y + 25 = 130*y. Suppose 5*n - y*r - 19260 = 0, -4*n - 3*r + 275 = -15098. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/58190 and -3\/560.\nAnswer: 3258640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 12:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -198 or 89513?\nAnswer: 89513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -275, -610, -1057?\nAnswer: -1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1439751*w - 8638535. Give p(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*k = 26 + 14, 0 = 3*d - 4*k - 26. Calculate the greatest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-57)\/38)\/((-3)\/14). Let p = 34 + -28. Let d be 2 - (p - -2)*-1. Is b at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49406\/355 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(1 - -1)*1. Suppose -u = -4*a, 3*q + 2*a = 2*q + 74. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = -5*m, 9 = -0*z - z + 3*m. Suppose -2*y = -4*y + z. Suppose -y*h + 55 = 2*h. Calculate the greatest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.517 + 10.447. Let s = 10 - u. Let x = 0.12 + s. Round x to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (12 + -14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 2 + (8 - (-4 - -9)). Solve -s = -3*v + 20, n*v + 3*s - 5 = 2*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 27*m - 22 - 73*m + 3 + 28*m + 25*m. Determine u(13).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**6\/120 + p**5\/30 - p**4\/8 - p**3\/6 + 4*p**2 - 6. Let a(o) be the second derivative of l(o). Give a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 31. Let g(r) = -7*r - 1. Let y(u) = -u. Determine m*y(o) - g(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82 times -0.0647616?\nAnswer: 0.053104512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41968 and 373584?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1710986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 38*s + 100 = 0. What is the remainder when 1 + 0 + (74 + 4 - 3) is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*k - 8 = 3, k = 0. Let j = -7 + o. Suppose 4*h = 12 + 12. Solve -2*x + h + j = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -286 + 387?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 390 = 754. What is the highest common factor of j and 8424?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4197065 is divided by 62.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q + 7*q - 16*q)*(-3*q + 3*q - 4*q**2).\nAnswer: 92*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -404021332?\nAnswer: -404021321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 + 0.8. What is the closest to -2 in -5, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {s: 7, y: 2, t: 9}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 1 (b) 4\/7 (c) -17 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by ((-57)\/(-6))\/((-40)\/(-240)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 1 + 15316\/1680 + -5. Let p(z) be the third derivative of 0*z**3 - 7\/4*z**4 + 0 + 0*z - g*z**5 - 38*z**2. Find the second derivative of p(o) wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3, -4*k - 205 = -3*h - 2*k. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 10*c - 6. Give o(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 1 + sqrt(252) + 0 + sqrt(252))**2.\nAnswer: 144*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*d - 301, 47*u = 52*u + 2*d - 269. What is the greatest common factor of 152 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11429656, -22859314, -34288972, -45718630, -57148288?\n\"Answer: -11429658*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-88) - (-40)\/22. Suppose -4*u + 5*r + 88 = r, 5*u - 3*r = 108. Let f = u - t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6518 - -11286. List the prime factors of k.\nAnswer: 2, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(8\/3)*n)*(n*n**(6\/29))\/n)\/(n**(-33)*n*n**42))**(3\/7) assuming n is positive.\nAnswer: n**(-997\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 417748 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36203e7 + 2?\nAnswer: 36203e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 0 + 0 + (-15 - 8 + 4)*(q - 1 - 2*q + 2*q) to the form x*q + t and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1456 and -0.4515.\nAnswer: 1455.5485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71 from -521631.\nAnswer: -521702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3\/7, -4\/27, -63, -4?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413\/6 + -77. Let z = -1076606\/465 + 613850971\/264740. Let t = -2\/427 - z. Find the common denominator of v and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -17, -48, -111, -218, -381, -612, -923?\n\"Answer: -2*q**3 + 2*q**2 - 3*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1830367 divided by 261481.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8768373 - -1?\nAnswer: 8768374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53277 or -13.49?\nAnswer: 53277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217 - 211. Suppose 0 = 5*i + f*i - 3718. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a - 28. Suppose 0 = -2*v - 0*v + 88. Suppose -a + v = 5*n. Calculate the smallest common multiple of n and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {w: 8, a: 4, v: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/14 - 6\/(-21). Suppose -2*o + 2*a - 90 = 0, a + 49 = -o + 3*a. Let x = 49 + o. Solve h*f = 23 - x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose 0 = -k + p*k - 15. Let l(d) be the first derivative of d**4\/4 - 4*d**3\/3 - 5*d**2\/2 + 3*d - 1. What is l(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*w**3 - 49*w**2 - 114*w + 52*w**2 - 68*w**3 + 2*w**4 as a*w**4 + d + b*w**2 + i*w**3 + s*w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 48?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, 4, 2.\nAnswer: -154, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*y + y - 4, -3*w - 3 = 5*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5109812 is divided by 1773?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 27 = -9*z - w, -4*z - 2626*w = -2616*w + 46 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399597 is divided by 23505.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 11. Let w be s(8). Let j = 17 - -37. Suppose -3*h - 5*m + w = j, -m = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:27 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.2341 centimeters to millimeters.\nAnswer: 6962.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 1, 112 in ascending order.\nAnswer: -67, 1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 16*k**2 + 15*k + 23. Let c = -10 - 5. Let l be a(c). Suppose -l*d - 272 = -31*d. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350178929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/6)\/(6\/9) - -112. Let o = a - 4. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76476621.9 rounded to the nearest ten thousand?\nAnswer: -76480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, -10, 37, -2, 4 in descending order.\nAnswer: 37, 4, -2, -10, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**4 - 504*u**3 - 1584*u**2 - 1640*u - 548. Let a(z) = z**4 - 168*z**3 - 528*z**2 - 548*z - 183. Let p(r) = 8*a(r) - 3*y(r). Solve p(g) = 0 for g.\nAnswer: -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 278*w - 3057. What is l(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(-1\/10)\/((f*f**(-1\/3)*f)\/f*f)**(13\/6) assuming f is positive.\nAnswer: f**(-323\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f + 95. Let t(q) = -2*q - 5. Let k be t(-5). Suppose -5*y + k*j = -37 - 238, -3*j + 75 = y. What is the remainder when y is divided by b(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 12. Suppose -4*s + a + 45 = 0. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07261 + 0.07261. Let o = 0.3 + 0.1. What is the third smallest value in -0.5, o, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of (-1)\/(-2) - 14\/(308\/(-1375))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + -1 + 37)\/(30\/480)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**0*x))**(-2)*x**11\/((x*x\/(x**(-2)*x)*x)\/x) assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.7, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*0.12\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425358 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1609*x**2 + 1597*x**2 + 1599*x**2 - 8046*x**2 + 1649*x**2 + 1590*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvqqvvvvv. What is prob of sequence qv?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 12) to base 5.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/20 + 4 + 1)*70\/140?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -18, -21, -24, -27?\n\"Answer: -3*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847518808 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/13 or -0.311?\nAnswer: -0.311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 21. Let y = -13 + o. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaararaaa.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -1. Let d = v - 6.5. Let k = -3.94 + 3.84. What is the nearest to k in -2, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 1.4, -7211?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q**3 + 3*q - 2. Let s(u) = u**3 + u - 1. What is -k(p) + 3*s(p)?\nAnswer: 14*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 3130028 = -955067 - 5030472. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 204 - -50?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let g(s) = 3*s**2 - s + 1. Let i be g(r). Suppose -i = -4*t + 29. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 3 (c) -3539\/4 (d) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3061777173?\nAnswer: 3, 7, 13, 19, 590279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (5 + (-7 + 14 - 2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 1. Let y be n(-8). Let l = 4 - y. What is the smallest common multiple of 0 - l - (-11 - 0) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4346 divided by 2173.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11*-3149076\nAnswer: 34639836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -3\/442, 60, -2\/17, 1\/2, 0.1?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q + 20. Suppose -7*l + 2*l + 20 = 0, 5*f = 5*l. Suppose b = f*r - 7, -4*b + 4*r - 5 = 11. What is the nearest to -1\/4 in -2, b, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 7*m + 1942 + 7*m - 2*m.\nAnswer: -2*m + 1942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 13*s**2 - 13*s + 10. Suppose -x + 2*u - 49 = -59, -3*u - 45 = -4*x. What is l(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 - 0.2. Let n = k + 5. Let j = 0.1 + 0.3. What is the nearest to n in 4\/3, j, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179\/15 - -58\/5. Let u = -16 + 15. What is the third biggest value in i, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519, 22, 923, 2184, 3805, 5786?\nAnswer: 8127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1 + 1*25. Suppose 2*l - 4*t = x - 8, l - 6 = t. Calculate the greatest common factor of l and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 730.4579 - 2264\nAnswer: -1533.5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 144*p + 12944. List the prime factors of u(0).\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {h: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -1\/8 (c) 2\/7 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 21. Suppose -4*o + 22 = -z + 6, 20 = -5*z. Calculate the remainder when b is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31817 + -12480. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (6 + -9)) + -7 + 7 + -23 + 84?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 64. Is 59 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596 + 3563\nAnswer: 4159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhtttttxhttthhhxt. Give prob of sequence hth.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -7. Let r be 14 + (-1)\/i*-4. Suppose 0 = -4*k + 8 + r. Solve -k*p - 4 = -b, 2*p - 5*p = -3*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 + 15*u - 94*u**2 + 94*u**2)*(-5 + 3 + 1) + 65*u**3 - 97*u**3 - 164*u**3 to the form z*u**3 + g*u + r*u**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238\/495 - 2\/55. Let x = -3.9599 + -0.0401. Which is the closest to m? (a) x (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - l**2 + 3)*(1 - 4 + 4) - 11 - 8*l**2 + 0 + 10.\nAnswer: -9*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h - 12 = 2*x - 41*h, 0 = -x - h + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 916560303*k**2*s**2 - 14746*k**2*s - k**2*w - 1972*k**2 + k*s**2*w wrt s.\nAnswer: 1833120606*k**2 + 2*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -f + 55, 0 = 2*q - q + 2*f + 16. What are the prime factors of (-17 + 0)\/(14\/q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/56)\/(-1) - 14\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 667 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 234*w = 229*w - 12402 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-1)*(-1)\/(-3). Let c be 2 - k\/(10\/4). Suppose 0 = -c*x - 2*x + 14. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -116*a + 33 + 0*a**2 - a**2 + 127*a - 1. Let w be y(13). Differentiate -8*p + 8*p - 1 + 15*p**3 - w wrt p.\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.951 times -2598?\nAnswer: 124576.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from nlllnpplppfplplpplpl?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1072297.2 months?\nAnswer: 893.581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 461180 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 1. Let s(f) = -3*f + 6 + 1 - 19 + 7 + 0. Determine -6*j(o) - s(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -15*k + 18. Suppose 3*w = -3*p + 51, w - 2*p - k*p + 3 = 0. Suppose 25*c + 84 = w*c. Let n(q) = -q**3 - 6*q**2 + 5*q - 8. What is n(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:39 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.162 times 4\nAnswer: 0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 6*p + 20. What is the greatest common divisor of p and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17149.55, -0.5, 1 in ascending order.\nAnswer: -17149.55, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 13*c**2 - 23*c - 5. Let s be a(-11). Calculate the highest common factor of s and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 5017889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from yyyyyyccyc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*q + 10970 + 7750 = 159*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 641702 and 4?\nAnswer: 1283404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*t + 8, 4 = t - k + 1. Let a = 5 - t. Let w(y) = 2*y - 6. Let u be w(4). Solve 0 = -a*m + u*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*g + 68. Let o(c) = -g + 0 + 9 - 21*c. Let h(b) = b**2. Give h(o(q)).\nAnswer: 441*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-3)\/6 - 1). Let z be 5\/(-35)*((12 - 0) + 28 + -38). What is the third biggest value in 1\/7, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 - 87*u - 62. Give f(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051*0.3489375.\nAnswer: 0.0177958125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millisecond in microseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10373, -20741, -31109, -41477, -51845, -62213?\n\"Answer: -10368*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.97. Let n = 20.27 + -20. Let o = n + g. What is the biggest value in -0.1, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16153069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x + 1. Let k = -15 + 15. Let h(i) = -2*i**2 + i + 2. Let w be h(k). Let a be (-5)\/(-25) - (w - (-8)\/(-10)). Determine u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 7 = -s, 11*w = 183276*s - 183278*s - 41 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5965539, 23862145, 53689821, 95448567?\nAnswer: 149138383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(8640) + sqrt(60) - sqrt(60)) + sqrt(60) - sqrt(60))\/sqrt(10))\/(sqrt(12)\/(-2*sqrt(294))))**2.\nAnswer: 84672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by 2430\nAnswer: -77\/2430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22019 or 22022?\nAnswer: 22022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.49924 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -126706 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 5 + (-71 - -63)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -78*x + 257. Factor 6 + 3\/8*z**x - 3*z**2 + 0*z**3 + 0*z.\nAnswer: 3*(z - 2)**2*(z + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 e when three letters picked without replacement from eeteeeeeete?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373533 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 0, -853, -4 in descending order.\nAnswer: 110, 0, -4, -853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 0*r + 24. Suppose r*s - 744 = 4*t, 0*s + 4*s = 5*t + 744. Calculate the remainder when s is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 > 315391\/7677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10)\/(((-206)\/(-1545))\/(6\/45))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psp when three letters picked without replacement from spsspqsqtqqt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-3)\/(60\/55)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14378?\nAnswer: 2, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 2134106.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12375, 5, 0, -9, 4 in descending order.\nAnswer: 12375, 5, 4, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65089*b**3 + 90434 wrt b.\nAnswer: -195267*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*h - 43968 = 58*h. List the prime factors of h.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2\/(-14))\/((-49)\/(-1715)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21438 and 201150.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, n: 1}. What is prob of picking 1 l and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - g + 4168 - 4143, 2*g = 2*d + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 7 + 4 + -6. Let h(m) = -m**3 + 7*m**2 - 3*m - 13. Let a be h(t). Suppose 0*d + 200 = 4*d + a*n, 2*n + 173 = 3*d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 4, v = 2*r - 6729. Suppose -11*q = -5501 - r. Does 58 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1034735258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5859.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*u**5\/5 + 252*u**4\/5 - 298*u**3\/5 - 236*u**2\/5 + 136*u\/5 - 16\/5 = 0. Calculate u.\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y - 267 = -47 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - r - 4. What is c(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 - 4*v - 4 - 2*v**3 + 4 - 1. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/526?\nAnswer: -1\/526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 106 and -2441356695.4?\nAnswer: 2441356801.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, o: 1, a: 1, y: 1}. What is prob of picking 1 a and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 51*g - 59. Let z be i(-6). Calculate the highest common divisor of 1136 and z.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4823 and 0.5.\nAnswer: 2411.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 18*b**2 - 16*b - 148. Let x be c(-9). What is the nearest to -0.1 in -0.3, x, -6\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 2 + 1\/3*w**3 - 13*w + 7\/2*w**2. Let x be n(-9). Solve -p = 4*p + x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from ollc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10202.018 + 10193. Let b = 8.9746 + 0.0254. Let q = a + b. What is q rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159 + -131?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*g = 86*g - 14 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2775.4 - 2777.4. Which is the second biggest value? (a) -6 (b) -10 (c) l (d) 7 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577911.\nAnswer: 3, 192637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 885 - 302. Suppose 46*z - 1172 = -2*b + 48*z, -4*z = -b + c. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**8\/100800 - q**7\/3600 - q**6\/600 - 13*q**5\/60 + 21*q**2. Let w(f) be the third derivative of u(f). Factor w(c).\nAnswer: -(c + 1)*(c + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-4)*(7 - (-7 - -12)). Let h(x) = 427*x**2 - 523. Let v(p) = -213*p**2 + 263. Let u(z) = n*v(z) + 4*h(z). What is the derivative of u(k) wrt k?\nAnswer: 434*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4. Let i be 0 - (j + -2) - 4. Let k = -4 - -8. Which is the nearest to i? (a) 3\/5 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 11000111?\nAnswer: 11100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 3*x**2 + 5*x + 8. Let j be z(-4). Let w be 2\/(1 + -3) + 10. Let b = w + j. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 77?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 9, 2\/7, 258, 0.3, -4 in decreasing order.\nAnswer: 258, 9, 8, 0.3, 2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 16*n**3 + 19071 - 19073 + 6*n + 44*n**3 as o*n**2 + f + i*n**3 + y*n and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - o. Let z be w(0). What is the units digit of (z - -2) + 5\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g*y**4 - 127*g*y**3 - 831*g*y**2 - 9*g + y**3 wrt y.\nAnswer: 264*g*y - 762*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 2*l**2 + 4*l + 2.\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 149*k**2 + 58891*k\/4 - 42834.\nAnswer: (k - 472)*(k - 121)*(k - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 9. Let a be r(-4). Solve 0*o + 2*g + 6 = 2*o, 0 = -a*o + 4*g + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7153050 and 3147342.\nAnswer: 78683550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 325 - 78 = -391 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/7 - 256600*i**2\/7 + 11551142*i\/7 + 1686820 = 0. Calculate i.\nAnswer: -128345, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -138*o + 828. Let m(g) = -1. Let x(v) = k(v) + 828*m(v). Let w(h) = -h. Calculate w(x(d)).\nAnswer: 138*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*y - 4*l - 1 + 4, 8 = 5*y + l + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1687 - -1782. Solve -i*c + 35 = -102*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*x + 6, 42*g - 4*x = 43*g + 6. Let z(y) = 5*y**2 + 7*y + 7. Let a(b) = -b**3 + b. Let p(i) = -a(i) + z(i). List the prime factors of p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2 + 7 - 2 - 5. Let r(c) = -7*c**2. Determine r(d(v)).\nAnswer: -252*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 337, 232, 81?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Suppose -9 = -4*z + k*z. Let i be 136\/36 - (-2)\/z. What is the second smallest value in i, 2\/3, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-12)\/(-9)*(270\/(-168))\/(-5)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**3 + 2*q**2 - 2*q + 6. Let z(l) = -l**2 - 11*l - 15. Let b be z(-9). Let s be r(b). Suppose -5*t - 2*g + s = -g, g = 4. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, u: 5}. What is prob of picking 1 u and 2 b?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u - 2*p = -4, 0 = -5*u - 2*p + 4. Suppose 5*r - 13 - 2 = u. Suppose 4*j - 116 = -4*c, 3*c - r*j = -0*c + 111. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-54) - 2\/(-8)*128\/(-144)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.8, 0, 3\/10.\nAnswer: -18.8, 0, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 7. Suppose -5*s = 5*z - 50, -5*s = -k*z + 3*z + 34. Calculate the remainder when 43 - (3 + -1)*-1 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16*m + 5. Let a = -3 - -6. Let w be r(a). Let i = w - 34. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-24)*o)\/o**0*(o**(5\/4))**(-2\/17) assuming o is positive.\nAnswer: o**(-753\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d + 6. Let n be (135\/60)\/((-12)\/(-16)). Calculate y(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - -99. Is -2 + -1 + w + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 880.6468 litres?\nAnswer: 880646.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = -4*f - 6, 0 = 4*b - 3*f - 17. Suppose 4*r - 2 = b*r. Solve -3*m - h + r - 10 = 0, 5*h = -2*m - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/18)\/(-5))\/((-6)\/(-27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4\/13 (b) -168 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 3*z + z - 5*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 3 - (-12 + (8 - 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -8, 3, -11 in descending order.\nAnswer: 5, 3, -3, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 207, 316, 439, 582, 751, 952?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29e60 + 1d?\nAnswer: -29e42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 9:40 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 + 17*o**2 - 17*o + 106. Calculate r(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 28*b**2 + 168*b + 1. Let l be j(-6). Which is bigger: -2\/203 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) - (1 + 4\/(-8))*(-52)\/24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54053*y - 26997*y - 26957*y.\nAnswer: 99*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78093955*a**2*y**3 - 4*a*y**3 + 1172*a*y**2 - a - 69*y**3 wrt a?\nAnswer: -156187910*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13371.34 centuries in decades?\nAnswer: 133713.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + -2973. What is k rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 273 = -67*n + 150*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3, -2\/3, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 2*q**3 - 7*q)*(-1 + 1 + 2*q) + (866*q + 24*q**3 - 866*q)*(-2 - 2*q + 2).\nAnswer: -52*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 604 = -4*i, 4*t + 10*i + 476 = 6*i. Let h = 136 + t. What is the least common multiple of (-102)\/(-4) - 6\/4 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -29371*k - 1116097. Give r(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = -2*z. Let q = -4 + z. Suppose -3*g + 2*j = 0, -2*g + 0*g = q*j. Solve -5*x = -g + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (266\/28)\/(1\/2 + 0). Solve 0 = -n + 6*n + 4*u + s, 2*u = -n - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29451530.1 rounded to the nearest one hundred thousand?\nAnswer: 29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 1. Let y be h(3). Suppose 10*p = y*p + 4260. Suppose -6*r + 0*r = -p. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) - ((-25)\/(-23) - 0). What is the closest to -3 in 4, r, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.5 (c) -3 (d) 0.4 (e) 4 (f) -267.315\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -95*z**2 + 24*z + 2. Let o be c(-10). Let x be (o\/(-21))\/(40\/810). Let b = -9395 + x. What is the common denominator of b and 149\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 7*x**4\/5 - 1339*x**3\/5 - 976*x**2\/5 + 3076*x\/5 - 768\/5 = 0.\nAnswer: -2, 2\/7, 1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27856 is divided by 27824.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110111000110110?\nAnswer: 110111000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/w**15 assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 17*r**2 + 26*r + 141. Let m be x(-18). Let n be 0\/((-2)\/(-2)*-2). Sort m, 1, n in descending order.\nAnswer: 1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.5\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-39))\/4)\/((-70)\/(-28)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a + 29*a + 16*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:41 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20c (base 14) to base 13.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**2 - 493*c**3 - 6*c**2 - c**2 + 110*c + 2573*c**3 - 109*c as q*c**2 + r*c**3 + b*c + z and give r.\nAnswer: 2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in 3\/82, -4, -0.2?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -3a?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = 10. Let j(q) = 9*q**2 + q + 3. Let w be j(c). Suppose w*x - 40*x + 60 = 0. What is the remainder when 139 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -19*t - 5*m + 61 + 61, -t - 3 = -6*t + 4*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 201*n. Let r(b) = 4*b**2 - 18. Let p(o) = 4*o**2 - 27. Let x(h) = -2*p(h) + 3*r(h). Determine x(v(q)).\nAnswer: 161604*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -287\/3 + 96. Which is the nearest to 0.06? (a) 3 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 4)\/(-2 + 3 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*l**2 - k**2*l**2 - 30*k**2 - 2*k*l - k + 3*l**2 wrt k.\nAnswer: 12*k*l**2 - 2*l**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 10 - 4*d**2 + 0 - 1 - 42*d to b + f*d + q*d**2 and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 2*w. Let q(f) = -2*f**2 + 17*f - 22. Let x(u) = 3*g(u) + q(u). Let r be x(3). Calculate the highest common factor of r and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + -18. Let l be ((-18)\/(-4))\/(9\/n). Let j be ((-5)\/(-15))\/((-2)\/l). Sort 4, -5, j.\nAnswer: -5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -14)*-1 + 13. Let f(i) = 9*i**3 - 3*i**2 - 4*i - 17. What is the hundreds digit of f(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 - -12.51\nAnswer: 12.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3\/2, 3, -78, -4?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47073444?\nAnswer: 2, 3, 11, 227, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by 15.\nAnswer: -74\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 4220643219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 27*l + 7. Let q(p) = -13*p - 4. What is -7*q(a) - 4*s(a)?\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 0.8.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001609 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.394 * 24\nAnswer: 57.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3834504136 take away 0.5?\nAnswer: -2.8834504136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(0 - 11) - (-9953)\/538.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.066132654 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2543339441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/3 - (0 + -2). Suppose 4*m = 16, -m = -i - 0*m - q. List the prime factors of (-3)\/(-4)*(i + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 15*f**3 - 49*f**2 + 15*f + 101. Let w(k) = -3*k**3 + 10*k**2 - 3*k - 20. Let u = -43 - -54. Let r(t) = u*w(t) + 2*b(t). Factor r(n).\nAnswer: -3*(n - 3)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 - 2*q - 1. Let b be v(-3). List the prime factors of (0 - -2)\/(b\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0 (b) 1.9 (c) -1.8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4*s + 107458*l**3*s + 664*l**2 - 17*l*s + 2 wrt l.\nAnswer: -24*l*s + 644748*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369075 and 34965.\nAnswer: 3321675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1241 + 1332. Which is smaller: 90 or f?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4215)\/(-25) - 6\/(-15) - 1. Let y be -164 + x + 1\/(2\/(-4)). What is c in 0*c**y + 0 + 2\/15*c**5 - 4\/15*c**4 + 2\/15*c**3 + 0*c = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:25 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101 + 0?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 30. Calculate z(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5 - 15. Let j(c) = -6*c - 1. Let x be j(o). Let w = x - 6. Solve 4*f - 4*k - 20 = 0, 16 - w = 4*f - k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a - 3*o - 77, 5*o = 5*a - 75. Suppose q = a - 11. Suppose -4*v = -6*v. Solve v = q*t - 3*b + 9, 3*b - 6 = 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*s = 4*i + 20, -12 = i + 3*s. Suppose i = 4*x - x - 114. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -450 = -3160\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0 + 0)*((19 - 3 + 7)*(0 - 4 + 2) + (1 - 1 + 1)*(0 + 3 - 1)).\nAnswer: -132*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 175*r + 372*r + 705*r.\nAnswer: 903*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(-2*sqrt(13) + sqrt(13)))**2.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 10*m**2 - 8*m + 3. Let a = -61 + 107. What is the remainder when a is divided by k(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -44?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 3:29 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 - 47*d - 50. Calculate s(-13).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/1032*-12*4\/63.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 3*m - 9. Let y(x) = -2*x - 13. Let o be y(-10). Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 32*y + 1. Let l(w) = w - 6. Let p be l(8). Is s(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 1 + 8*o + 8*o**2 - 10*o + 10*o**2. What is the units digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2. Let d(v) = -11*v**3 + 4*v**2 + v. What is d(f) + 4*j(f)?\nAnswer: -11*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(4750\/152) - -3*(-32 - 7).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 6:30 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1562*j**4 - 6*j**2 - 41 wrt j.\nAnswer: 37488*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -291*d - 8. Let b(k) = 292*k + 8. Let r(t) = -4*b(t) - 5*w(t). Is r(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2. Let x be a(6). Let j be (x\/4)\/(5\/10). Let w = 37 - j. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60040, 120514, 180988?\nAnswer: 241462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2053262299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + o**2 + 0*o**2 + o**2 - 5*o**2 + 3*o**2 + (-5*o - o + 4*o)*(o + 2 - 2) + 2*o - 2*o + o**2 + (8*o - 17*o + 67*o)*(0*o - o + 0*o).\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/48415 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*o**5 - 3458*o**4 + 16636*o**3 - 14936*o**2 + 2608*o - 128 = 0 for o.\nAnswer: -8, 2\/19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u. Let t be z(-2). Let j = t - -10. Sort 1, -4, j in ascending order.\nAnswer: -4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197 times -6.1?\nAnswer: -7301.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-2 + (-2 - (1 - 2))). Let p be (l\/10)\/((-36)\/16). Which is the second biggest value? (a) 5\/6 (b) p (c) 0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.154 - 26.446. Let b = -27 - y. Let o = 274\/5 + -55. What is the smallest value in o, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1725)\/6 - 20\/(-30). Let y = a - -287. What is the closest to 1\/3 in y, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180) + 4 - (-2*(-1 + sqrt(5)) - (1*sqrt(25))\/sqrt(5))) + 2.\nAnswer: -3*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17036937 divided by -6\nAnswer: 5678979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1199*q**3 + 155*q?\nAnswer: -7194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -53*k**8\/48 - 19*k**4\/6 - k**3 - 1330*k**2. What is the second derivative of q(f) wrt f?\nAnswer: -7420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56765?\nAnswer: 5, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 + 201 = 57*w - 344 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24644831.\nAnswer: 59, 617, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -377 + 8*t + 379 + 12*t. Let k be w(1). Suppose 20*r = k*r - 222000. Round r to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2, -20.76?\nAnswer: -20.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i + 1. Let x be o(0). Let t be 10 + (-3 + 1)\/x. Solve 0 = -4*j - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/15*125\/50*1. Put -4, 1.71, 2\/3, j in decreasing order.\nAnswer: 1.71, 2\/3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + -4*(sqrt(40)\/sqrt(5) - sqrt(8)) + 4)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 0*v + 3*v - 3*v**2 - v**3 - 2 + 1. Let g = 651869 + -651872. Give s(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-5)*(6\/15)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -102986*l*m*r + 2*l*r - l - 5*m*r + 772*m - 3*r wrt l.\nAnswer: -102986*m*r + 2*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83272, 166543, 249814, 333085, 416356, 499627?\nAnswer: 582898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from pqlittlmm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22641 - -1652837\/73. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -352, -122, 312, 1052, 2200, 3858, 6128?\n\"Answer: 17*i**3 + 111*i - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 1. Let k(g) = -2*g - 10. Let p(v) = 5*f(v) - k(v). Let d(x) = 0 - 6 + x + 3*x. What is -4*d(b) - 5*p(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)\/h**4)\/(((h*h**0)\/h)\/h**3))**(3\/16))**(-8\/7) assuming h is positive.\nAnswer: h**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3530*c**2*d**3 + c*d**3 + 2*c*d + 739*d**3 wrt c.\nAnswer: 7060*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2. Let l(s) = -2*s**2. Let f(w) = w**2. Let r = -38 + 93. Suppose r = -b + 49. Let u(c) = b*f(c) + l(c). Calculate u(n(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:20 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (66 - (-36 - -70)) + -27 + 12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, f: 4, r: 9}. What is prob of picking 1 c and 1 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13833219*f + 67794671.\nAnswer: 13833219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -11. Let k be ((-2 - -5) + -2)\/1. Which is the nearest to k? (a) d (b) 9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 162.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168034738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39186, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2585*k = 2598*k - 74711. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5337 + v**2 + 5336 - 10673 + 2*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.8 + -39. What is the nearest to p in -2\/7, -1, -2\/31?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6979, -7003, -7033, -7057, -7063, -7039, -6973, -6853?\nAnswer: -6667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25220719?\nAnswer: 23, 1096553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 578 = -4*q, 2 + 2 = -4*q. Calculate the remainder when w is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 b when four letters picked without replacement from {b: 3, n: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -7*w**4\/12 + w**3\/2 + w**2\/2 + 5*w. Let q(h) = 8*h**2 - 4*h - 1. Calculate 4*l(z) + 3*q(z).\nAnswer: -4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 273829698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3606 - -3635.69. Let h = x - 30. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 14*r**2 + 14*r - 7. Determine n(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r**(-5)\/r*r\/(r*r*r**(-2\/3)*r)*r**(-2))**7 assuming r is positive.\nAnswer: r**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177448 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 3*r - 35, -1814*z + 1809*z = -r + 62 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:37 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104, 129, 180, 269, 408, 609, 884?\n\"Answer: 2*f**3 + f**2 + 8*f + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-12) + 24\/96. Which is the second smallest value? (a) 75 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a8c4a (base 15) in base 16?\nAnswer: -b5fc75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.15 - 3.08. Let g = -0.07 + d. Let u = 3\/7 + -25\/42. Put g, u, -2 in decreasing order.\nAnswer: g, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 117*m + 0 + 0*m**2 - 8*m**4 + 0*m**3 + 0*m**6 + 9\/7*m**7 + 0*m**5. Find the third derivative of z(v) wrt v.\nAnswer: 3240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1339 - 954. What are the prime factors of c?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + v + 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**7\/420 - r**6\/240 - r**5\/120 + r**4\/48 + 9*r**2\/2 + 13*r. Let p(s) be the first derivative of f(s). Factor p(m).\nAnswer: m*(m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1229.761 from 289725.\nAnswer: 288495.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**28)\/(z*z**23)*(z*z\/(((z\/(z*z**(-2\/5)))\/z)\/z))\/z**(-4\/17) assuming z is positive.\nAnswer: z**(751\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i**3 - 15*i**3 - 89*i**3 - 33*i**3 + 168*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**6\/4 - 9*q**5\/5 - 27*q**4\/4 + 34*q**3 + 243*q**2\/4 - 189*q - 159. Let i(v) = 0. Calculate v.\nAnswer: -3, -2, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161154 (base 9) to base 2.\nAnswer: -11000001111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17845855?\nAnswer: 5, 61, 58511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6981, -13988, -21019, -28080, -35177, -42316, -49503?\nAnswer: -56744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-44)*1*3\/6.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 817 + 805. Suppose 7*j - 3*j = 5*l - s, -2*j = 4*l - 1282. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by -4?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 0, -56, 1, -724 in increasing order.\nAnswer: -724, -56, -2, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/2 + (-18)\/(-6). Let g = q + 15. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 70 = 143. Let j = f - -78. Solve j - 2 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 541135 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 6. Let i be p(-12). Let u(c) = c**2 + 7*c + 7. Let l be u(i). Let b be (3\/6)\/(l\/8). Solve 3*v - b - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(6\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofoss. Give prob of picking 1 s and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1536260 (base 7) to base 5.\nAnswer: -23223320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -14 (c) -0.04 (d) 0.4 (e) 2 (f) -2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + 154. Suppose 184 = 7*w - u. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 3*u**2 + 0*u**2 - 4*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 37*m - 26. Let h be c(22). Suppose 0 = -8*d + 6*d + h. Suppose 4*p - d = -5*q, -3*q - 2*p = -0*q - 238. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135158 to 4 decimal places.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144431040 - -22?\nAnswer: -144431015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/o)**(-37) assuming o is positive.\nAnswer: o**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101201220210 (base 3) in base 15?\nAnswer: 529d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24765735.\nAnswer: 3, 5, 521, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 - 4 = 0. Let f = y + -2. Let o(j) = -j**4 + j**3 + j**2 + j. Let i(g) = -2*g**4 + 8*g**3 - 10*g**2. Let z(k) = f*i(k) - 2*o(k). Factor z(m).\nAnswer: 2*m*(m - 1)**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 921 divide 40492675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -383532711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = 5*b - 60, 3*b = -2*m + 68. Let n = m - 25. Solve -4*l + 9*l - n = -5*d, -2*d - 4*l + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36 + -2.62. Let s = 1.18 - 1.2. Let l = z + s. What is the smallest value in l, 3, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**3 - x. Let q = -6839 + 6837. Determine f(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k - 72. Let h be ((-16)\/k)\/((-10)\/15). Suppose 0 = 2*r - 3*d + 11, 2*r + 2*r - 2*d + 10 = 0. What is the closest to r in 3, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 12*m**8\/7 + 196*m**4\/3 + 24*m + 8. What is the third derivative of g(p) wrt p?\nAnswer: 11520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 6*i + 3. Let b(a) = -7*a - 1. Let n be b(-1). Let z be h(n). Suppose 5*u - 190 = -m, 0 = z*m + 2*m. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - -0.3. Let t = z + 0. Let h = -3 - -2.5. What is the second biggest value in 1\/11, t, h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4113\/8, 5\/78, -4.\nAnswer: -4, 5\/78, 4113\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -100203331132?\nAnswer: -100203331121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7805 + 7835. Solve -2*q = -d*q - 112 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11668.787 - -11675. Let y = 0.013 - l. Let u = -2.2 - y. Which is smaller: u or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(121)*-1*-3)\/((sqrt(66)\/sqrt(3)*-5)\/sqrt(2)).\nAnswer: -5 + 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20322, -40176, -60032, -79890, -99750?\nAnswer: -119612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.13, -3 in increasing order.\nAnswer: -3, 0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26 (b) 1\/6 (c) 205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 6. Does 3 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let u(o) = 8*o + 1. Determine 14*d(q) + 2*u(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 8:40 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 1 + 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 8, 0.1, 1\/6, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1*c)**(-3\/28)*(c\/c**2)\/((c\/(c\/c**(2\/3))*c)\/c) assuming c is positive.\nAnswer: c**(-167\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009910072 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 4858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 78 (c) 6\/5141 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45188714687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzp when three letters picked without replacement from {z: 2, p: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -663 - 28722?\nAnswer: -29385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + (-3)\/2. Which is the closest to 3? (a) o (b) 5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 5*y**2 - 4*y**2)*(4 - 4 + 8*y)*(0 + 1 + 1)*(-22*y + 18*y**2 + 22*y).\nAnswer: -288*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.091453 or -3?\nAnswer: -0.091453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(160)\/(-2*sqrt(4)) - sqrt(40)) + (3*sqrt(160) - sqrt(40)))\/(1*sqrt(8)*2 + sqrt(64)\/sqrt(2))*4)**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -824*w. Let s(o) = -17 + 27 - 2*o - 14 + 4. Determine k(s(t)).\nAnswer: 1648*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1784279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**8\/10080 - h**5\/15 + 4*h**2. Let p(f) be the third derivative of o(f). Let j(t) = -7*t. Determine j(p(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 571?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-15))\/(6\/27). Let f be (-16 + (-10 - -23))\/((-6)\/4). Solve -f*o + 2*a + 8 = 0, -o + 3*o - k*a = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45429969 divided by -183927\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 25860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(187)*-2)\/(-4*sqrt(1584)).\nAnswer: -sqrt(17)\/24 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-1)*-5)\/(sqrt(8)\/(4*sqrt(2))).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418d (base 14) to base 13.\nAnswer: 51b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 1. Let r(p) = -3*p + 11. Let q(b) = r(b) + 4*y(b). Let i(v) = -v**2 + 7*v + 5. What is the remainder when i(6) is divided by q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48625 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:38 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8139612 by -4.\nAnswer: 2034903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 124?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1179 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103899 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32670 (base 14) in base 11?\nAnswer: 83739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Let h = -6.3532 - -0.3532. Which is the biggest value? (a) s (b) -1\/3 (c) h (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/3 - 47563*q\/3 - 95122\/3 = 0.\nAnswer: -47561, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24830611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3576, -3569, -3552, -3519, -3464, -3381, -3264, -3107?\nAnswer: -2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-20*(-245)\/(-175))\/((-3 - -4) + (-4)\/12)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (10 - 23) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -1 - 8\/12. Let f be (-3)\/2 + 129\/12*18. Let l be (8\/f*-4)\/((-4)\/9). What is the second smallest value in l, a, 5, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h = 84*h + z - 62, -14*h - 248 = -11*h - 4*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/380 and -29\/3762?\nAnswer: 37620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639 (base 12) to base 16.\nAnswer: 38d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 899*m - 902*m - 3, 2*c = 5*m - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36630 = -135364*q + 134809*q for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5057 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233 + -229. Suppose s*c - 8*m + 4 = -4*m, 0 = c - 3*m + 5. Solve -3*n - 17 = -5*x, -4*x - c - 3 = 2*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14467, -29609, -44753, -59899, -75047, -90197?\n\"Answer: -h**2 - 15139*h + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 81*q + 12*q**2 - 81*q in the form x + j*q**2 + p*q and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -144*c + 12. Let w be 2 + (-10)\/3 - 10\/6. What is the hundreds digit of f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 69 = 5*a + 70, 12*s - 40 = 2*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 125*v**3 + 28*v**2 - 8*v - 12. Let w(z) = -125*z**3 - 21*z**2 + 7*z + 12. Let n(o) = 3*c(o) + 4*w(o). Find the second derivative of n(u) wrt u.\nAnswer: -750*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 41. Let d be (5 - 230\/15)*3. What is the units digit of l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgggjal. What is prob of sequence agdj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - p = -0*f - 13, 2*p = -4*f - 28. Let l = 5 - f. What is the remainder when 36 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 11*c**2 + 20*c + 23. Let z be w(-9). Let p = -11 - 20. Sort 1, p, z.\nAnswer: p, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/9)*g)\/(g\/g**(-40)) assuming g is positive.\nAnswer: g**(-364\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = 2*q. Let w(u) = 2*u**2 - 2*u - 18. Is w(q) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykxxxze. What is prob of picking 1 y and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9729, 19467, 29217, 38979, 48753, 58539, 68337?\nAnswer: 78147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 + -1286?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10897\/(-51) - 12\/9. Let d(z) = 4*z**3 - z**2 - z - 2. Let p be d(-3). Let w = p - b. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1383 - 1387. Put 0.5, x, 21, -1 in decreasing order.\nAnswer: 21, 0.5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 3*i**2 - i + 1. Let a be u(-3). Suppose -2*h - 3*t = -6*h + 85, -3*h + 70 = a*t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 14*(-3)\/(-6). Is 26\/(-39)*i*(-163)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 5 + 22*w + 14*w**3 - 21*w + 10*w**3 + 1.\nAnswer: 24*w**3 + 8*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23 - (2 - (-1 - -4)). Suppose -5108 = -4*m + m + v, -3*m - 2*v = -5120. Calculate the highest common divisor of m and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c2 - -2?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - w + w)*(5 - 5 - 3*w) + (-1 + 1 + 3*w)*(w + 4 - 4) as v*w**2 + k*w + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 7:54 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.638 in 2\/9, -2\/69, 4, -3, 0.2?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 108*b + 131*b + 2*b**3 + 5 - 1 + 3.\nAnswer: 2*b**3 + 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {k: 1, d: 1, t: 1, r: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8108.6 - 8109. Which is bigger: -195 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*j**2 + 7*j**2 + 84*j**2 + 73*j**2 + 34*j wrt j.\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5100)\/40*(-18)\/27. Is o bigger than 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005244 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 383*h**2*m**2 - 59905*h**2*m*w**3 + 3*h*m**2*w**3 + 3*h*m**2 + 2586*h*m*w**2 wrt w?\nAnswer: -359430*h**2*m + 18*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 6. Let w(g) = -1. Let i(o) = -u(o) + 6*w(o). Let q(y) = 10*y. Determine q(i(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 1 + 1)*(4 - 2 - 1) - 32*o - 12*o + 13*o - o - 4*o + 3*o + (-1 + 1 + o)*(-1 - 3 + 3) - 1 - 2*o + 1 in the form n + d*o and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/5 - 3508*p\/5 = 0 for p.\nAnswer: 0, 3508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23903 by 4.\nAnswer: 23903\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/6 - (-14)\/(182\/(-39)))\/(234\/(-312)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192942995 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.67 + 7.27. Let t = x - 6.1. Sort 2.3, 1\/3, t.\nAnswer: 1\/3, t, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49948, 99225, 148502, 197779?\nAnswer: 247056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4 + 3 - 2*d**2 - 2 + d**3. Let h be b(3). Let p(q) = 5*q + 2*q - h*q. Let f(w) = 4*w**2. What is p(f(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 16599.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 774717329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145*i**5 + 8382*i**3 + 7*i**2 + 6*i + 3291 wrt i?\nAnswer: -8700*i**2 + 50292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 75*r**2. Let c(d) be the first derivative of d**4\/6 - 102*d + 19. Let s(o) be the first derivative of c(o). What is u(s(a))?\nAnswer: 300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5\/1103, 4, 0.3 in increasing order.\nAnswer: -5\/1103, 0.3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213030 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeaaeaedeceedeecde. Give prob of picking 2 a.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u + 12. Suppose -4*r - 7 = u*a, 0 = -3*r - 4*a - 0 - 6. Solve -2 = -2*m + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10578, 21286, 32140, 43140?\n\"Answer: 73*s**2 + 10489*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 + 124.127\nAnswer: 125.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31)\/(-11) - 22\/(-121). Suppose 6*u = z*u + 54. Calculate the greatest common divisor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.14, 0, -35\/3, -5\/2, 0.061?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g. Let v(a) = -4*a. Let y(p) = 2*d(p) - 5*v(p). Let h(u) = -29*u + 33. Let m be h(-7). Let w(i) = -2*i + m - 110 - 114. Calculate w(y(z)).\nAnswer: -4*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5\/14422 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78918 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.9488um to centimeters.\nAnswer: 0.00859488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from eeeeedeiieeeneniieen?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7083 and 3483.\nAnswer: 2741121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.736 and 5?\nAnswer: 158.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - -2607. What are the prime factors of x?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (12 - 6) - (6 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 11, 374.\nAnswer: 1, 11, 15, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4597376 and 126427840.\nAnswer: 252855680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014945626769429 minus 0.1?\nAnswer: -0.085054373230571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(15\/2)*c**(-16) assuming c is positive.\nAnswer: c**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 - 4*n**2 + 17. Let r(z) = 3*z**3 + 5*z**2 - 16. Let w(i) = i**3 - 4*i**2 - i - 16. Let s be w(5). Let a(h) = s*k(h) + 5*r(h). Factor a(g).\nAnswer: 3*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4852608405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:52 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 9) in base 14?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1800 (b) 0.1 (c) 0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 47*y - 28. Is c(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1187.62194 + -71\nAnswer: -1258.62194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026 is divided by 574.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 2\/65767?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(4416\/529))\/(2332\/(-330) + 7)?\nAnswer: -115\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5\/2 + 13*w**4\/2 - 29*w**3\/2 + 15*w**2\/2 = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 5. Let p(y) = 4*y**2 - 6. Let b(u) = -5*p(u) + 6*x(u). Let c(w) = -16*w**2. Calculate b(c(g)).\nAnswer: -512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 l when three letters picked without replacement from jlyyyjjj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3568896 divided by -18.\nAnswer: -198272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = -4*c. Suppose 7*z = 5*z - 2. Sort 4, z, c in increasing order.\nAnswer: z, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/2 + 9*w**4 - 187*w**3\/2 + 262*w**2 - 282*w + 104 = 0 for w.\nAnswer: -26, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.02.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -729*b**3 - 3*b**2 - 28*b - 26. What is the lowest common multiple of c(-1) and 416?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23415 - -23426. What is the highest common divisor of m and 14333?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.46821465 from -4.3.\nAnswer: -4.76821465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 33*c + 0*c**3 + 32\/5*c**2 + 0*c**5 + 1 - 8\/15*c**4 + 2\/75*c**6. Solve n(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -298, -655, -1144, -1759?\nAnswer: -2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6302 and 685?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -426 + 429. Put b, -2, -10, -5 in decreasing order.\nAnswer: b, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*m**3 - 2*m - 76*m**3 - 5*m**4 - 33 + 35 - 3*m**4 as j*m**2 + c*m**4 + k*m**3 + n + q*m and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*i = 36. What is the remainder when 15 is divided by (-12 + 7)*i\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + b = -5004, 0 = -2*d + 3*b + 543 + 1469. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -k - 0*k + 9, -2*t = -3*k + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -284 + 98. Let w = 190 + c. Let x = 12.28 + -0.28. What is the second smallest value in x, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17) + 2) - sqrt(34)\/(1*sqrt(2)) - (sqrt(187) - 2*(-1*sqrt(187) - sqrt(187)))\/(1*sqrt(44)).\nAnswer: -19*sqrt(17)\/2 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32006 + -32003. Let u(g) = 2*g**2 - 134*g + 389. Give u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20759 + 216*m - 20759)*(-2*m + 3*m**2 - 5*m**2 - m) + 0*m**3 + 3*m**3 - 2*m**3.\nAnswer: -431*m**3 - 648*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72450 and 460.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + -1 + -12 + 1 + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5484126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 - 32684\/(-28)) + 2\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 604, 73566, -5, 0.4, -4, 1 in increasing order.\nAnswer: -5, -4, 0.4, 1, 604, 73566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 86 - 27*i**3 + 88.\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -563 or -566063?\nAnswer: -566063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32027 + 22807. Let g = -221333\/24 - d. Calculate the common denominator of 113\/12 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 44 - 13*w - 54 + 5*w**2 + 4*w**2. Let v be n(7). Suppose -2*y + 0*d + 4*d - 6 = 0, 2*y - 6 = -2*d. Sort v, -4, y, 3 in descending order.\nAnswer: 3, y, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -564, -1089, -1778, -2631?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168.267 - 0.267. Let x = m - 87.3. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l - 298. Let a be b(-31). Which is greater: a or 77?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**4 - 2*n**3 + 335527*n + 1238422 with respect to n.\nAnswer: -4*n**3 - 6*n**2 + 335527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-16 - -19)) + (2 - 18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 5. Let c(w) = -4*w**2 - 14. What is 5*c(o) + 14*m(o)?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*r, -4 = 3*r + 8. Calculate the common denominator of 10\/11 and (13008\/(-1434))\/(-8) + d + -3.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 10)\/(-6*(-7)\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -73. What is the closest to 0 in -2\/15, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6951120 and 149\/219276240?\nAnswer: 2412038640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from -2.26.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/36))\/(k*k\/(k**(-5\/6)*k)) assuming k is positive.\nAnswer: k**(-31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 852526 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utuuuuuhuutthtuttt. What is prob of picking 2 t, 1 u, and 1 h?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 5*d**2 - 4*d + 6. Suppose -4*k - 16 = 5*p - 0, -3*p + 2*k = 14. Let r be p\/(-6) + (-60)\/(-18). What is a(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 126. Suppose -o + 5 = 2*d. What is the units digit of d*(3\/(-9) - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 5 (c) -13.62 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, 2, 22, 50, 86?\n\"Answer: 4*o**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 2*f**2 + 4*f + 4. Let v be r(-2). Suppose -v*b - 48 = -6*b. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-12) - (-1491)\/28?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 greater than or equal to -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -807, -1708, -2619, -3546, -4495?\n\"Answer: -u**3 + u**2 - 897*u + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 3*q)*(-3*q**2 - q**2 + 2*q**2) + q**3 - 1 + 1 - q**2 - 2*q**3 + q**2 + 6*q**3 - 3*q**3 - 4*q**3 + (7 + 2*q - 7)*(-2 + 2 - 2*q**2).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33\/5, 2\/15, -3, 4?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/15 + 17264*y**3\/15 + 12424318*y**2\/5 + 14867764*y\/3 - 59581520\/3 = 0. What is y?\nAnswer: -4315, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - v + 112, -92 = -2*c - 6*v + v. Let g = -33 + c. Suppose -o - 2*i = g*o - 16, 0 = 4*o + 3*i - 20. Solve o*q + q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165069884 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-45040)\/(-1120) - 495\/546.\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7 + -2)\/20)\/(3\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**5 + 360*c**4 + 48330*c**3 - 517160*c**2 - 565125*c = 0.\nAnswer: -75, -1, 0, 11, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {i: 1, k: 1, e: 5, y: 1, o: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 6:58 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*(n\/(n**(-8)\/n))\/n)*n\/n**(-7))**32 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.62533 decades?\nAnswer: 6.2533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -542.6 and 0.5.\nAnswer: -271.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39908 and 5.\nAnswer: 39913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let u(w) = 51*w + 153. Let g be u(-3). Let h = -7 + 7.3. What is the nearest to g in 3\/4, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 192, 378, 564, 750, 936, 1122?\n\"Answer: 186*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180.6 - 179.4. Which is bigger: x or 13.3?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/27 and -11\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 11423.\nAnswer: 70\/11423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21.1*1956\nAnswer: -41271.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*n + 19944 = 720*n + 509*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - j**2 + j - 2*j + 2*j**3 - 4*j**3 to the form z*j + i*j**3 + f*j**2 + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*t + 49432028*a*t - 2*a + 1070162609*t with respect to a.\nAnswer: -8*a*t + 49432028*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -21167 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**8\/672 - m**7\/84 + m**6\/120 + m**5\/15 - 6*m**2 + 13*m. Factor t(l).\nAnswer: l**2*(l - 4)*(l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 36\/109 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 4*d + 1\/20*d**5 + 1\/2*d**3 - 1\/4*d**4 + d**2 + 0. Suppose u + f = 2, u - 7 = 2*f + 2*f. Give q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + 432\/42. What are the prime factors of (-4)\/t + (-1464)\/(-60)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - 107.75. Let d = 97.25 - r. Let l = d + -101. Which is the nearest to 1? (a) -2\/11 (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ba7d2 (base 16) to base 12\nAnswer: 30a06a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n + 7. Let c be x(-3). Let a be (-3)\/2*c\/15. Suppose 3*u + 10 = -a*u. Is u at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eze when three letters picked without replacement from zezezze.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3070*n - 2058 = 3288*n - 314 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-609))\/3*(-30 + (61 - 45))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/115304 and -81\/2256664?\nAnswer: 15796648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, g: 4}. What is prob of sequence gggg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 201 - 24a74?\nAnswer: -24873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 67\/(402\/(-108)) + 18. Solve 33*b + 3*b - 216 = j for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 33 = 36 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/9 - 42836*t\/9 + 229365362\/9 = 0. What is t?\nAnswer: 10709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -191 + 184 + -14 + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.76632.\nAnswer: -4.76632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, s: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (-25)\/(-4) + 9\/12.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2723*m**4 + 3*m**3 + 73987 wrt m.\nAnswer: -10892*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.616291mg in nanograms?\nAnswer: 616291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/15)*(s\/(s*(s\/(s*s**26))\/s))\/s assuming s is positive.\nAnswer: s**(388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -9*y - 47. Suppose -11*s + 98 + 144 = y. What is the lowest common multiple of 572 and s?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**4\/4 + 2*g**3 - 3*g**2\/2 - 6*g - 8. Let z be a(5). Solve -5*s + 4*d = z, -s - 5*d + 8 = 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1984 = 4*m, 5*m - 7*m + 1016 = 5*f. Let c = 72 + m. Does 48 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 276*x + 17363.\nAnswer: (x - 179)*(x - 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 0, 0 = 4*q - 5*y - 6 - 99. Solve 3*j - 5*k - q = 0, -7*j + 6*j = -3*k - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*x + 337*x + 70*x.\nAnswer: 864*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i - 7. Let v be o(3). Suppose 20 = -4*k - 5*n, 0*k + k + 2*n + v = 0. Sort 5, -3, k in descending order.\nAnswer: 5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + 3*z + 21. Let a be g(5). Let i = a + 96. Calculate the remainder when i is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 22 - 3*x**2 - 22. Let k(q) = -2*q. What is m(k(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 2*m + 84 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 4\/9 (c) 10 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/9*(-336)\/(-140)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 27932*f - 97524578.\nAnswer: -2*(f + 6983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39919?\nAnswer: 11, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*g - 630, -5*i = 4*g - 4 + 664. Let s = i - -234. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let m = -4517 + 4522. Let s(w) be the first derivative of m - 3\/2*w**2 + 2*w. Calculate p(s(o)).\nAnswer: 18*o**2 - 24*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1352, 2645, 3882, 5063, 6188, 7257?\n\"Answer: -28*q**2 + 1377*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136119463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = -0. Suppose -2 = -2*t + 12. Let i be -2*2\/2 + t. Which is the closest to -1\/3? (a) 1 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16981936427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517814854 to the power of 1\/2, to the nearest integer?\nAnswer: 22756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9902203 to the power of 1\/2, to the nearest integer?\nAnswer: 3147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 1 + 0*z - 2*z**3)*((1 + 0 + 1)*(-4 + 2 + 6) + (1 + 0 - 3)*(4 - 7 - 16)).\nAnswer: -92*z**3 - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*g**2 + 2*g + 19*g**2 - 9*g**2.\nAnswer: -86*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 5 - 9) + 4\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -1\/60*p**5 + 0*p + 1\/120*p**6 + 0 - 11*p**2 - 1\/24*p**4 + 1\/6*p**3. Factor d(t).\nAnswer: (t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -2.04. Let p = k - 2.08. Let x = 0.0799968 + p. What is x rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13069123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 352\/3. Sort 1\/2, 2, j, -0.05 in descending order.\nAnswer: 2, 1\/2, -0.05, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5178253\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 7*z**2 + 7*z + 8. Let g be p(7). Suppose 2*j - 80 + 54 = v, v - 40 = -4*j. List the prime factors of (j\/(-1))\/((-16)\/g).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 19) + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132122 - -12?\nAnswer: -132110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/330 and -64\/165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/7*49\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87116 is divided by 43363.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*j + 12. Let u = -5 - j. What is the least common multiple of 4 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/659, -19, 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5724 = 4*t, 0 = -2*u + 3*u - 4*t - 1437. Suppose 10*w - u - 821 = 0. Suppose w - 35 = 5*q. 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 -3*o + 7689 - 175 = -c, -5*o = -2*c - 12522. Suppose -5*g - 7484 = -3*l, -12*l = -11*l + 4*g - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2859*p**4 + 825 wrt p.\nAnswer: 11436*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 4. Let q be k(0). Let i = 2 + 2. Let h be (-2)\/q + 1\/i. What is the third smallest value in h, -4, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 476*b**3 - 13*b**2 - 45033*b wrt b.\nAnswer: 2856*b - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7016 bigger than -7018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(156)\/sqrt(3)*-3)\/sqrt(4) + ((sqrt(13) + 0)*-6 - (sqrt(13) + (sqrt(13) - (sqrt(1053) - (sqrt(1053) + 2*sqrt(1053)))**2) + sqrt(13))).\nAnswer: -12*sqrt(13) + 4209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 2*x**2 - x - 10. Calculate w(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -1\/2*p**4 + 19*p + 0*p**2 - 1\/2*p**3 + 33\/80*p**5 + 0 - 3\/40*p**6. Suppose k(i) = 0. Calculate i.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2973 and -876.\nAnswer: -875.7027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6873 + 6874. Let w(f) be the first derivative of 2\/3*f**3 - z + 0*f + 0*f**2. Let d(a) = -18*a**2. Give d(w(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/25)\/((-14)\/35)*(-51 + 1539\/54).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**2 - 54*y + 252. Suppose -2*s = -100 - 8. Calculate the least common multiple of s and l(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -43. Suppose 5*c - 352 = -4*v, -3*c = 2*v - o*v + 154. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-42)\/9)*126\/(-36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77609*b**2 + 178807*b**2 + 3*b**3 - 5*b**3 - 57532*b**2 - 1.\nAnswer: -2*b**3 + 198884*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7723677 to the nearest integer?\nAnswer: 2779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 7476.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/59663 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6566.3, -1\/3, -7\/2 in increasing order.\nAnswer: -6566.3, -7\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1986 (base 11) to base 4\nAnswer: 213102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - p - 2)*(-2*p**2 + 2*p**2 + 3*p**4) + 25*p**5 - 5*p**5 + 30*p**5 + 4*p**5 - 6*p**5 + 3*p**5.\nAnswer: 48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 58, 4, -3\/2, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.22 plus -0.1?\nAnswer: 159.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 32 = -4*u + 142, 2*u - 40 = -2*z. What is the third biggest value in -2\/23, -0.5, u, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4545 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 10 = -5*a. What is the smallest common multiple of a - (2\/(-3) - (-188)\/(-6)) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -25. What is the closest to 2\/7 in 2\/3, k, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4, -19\/60, -2\/15, 45, 4?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/8)\/((-330)\/352))\/(2 + 2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-9) - (-4)\/(-3). Suppose -z - 3 + 7 = c. Solve 0 = 3*f + 4*p + 3, -2*p + 37 - 11 = -z*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 2*d - 2. Let u be k(-2). Let b(q) = 15*q - 265. Let g be b(18). Solve 0 = -2*y - 3*x - 12, -x = -g*y + u*x - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6) + -5 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 560, 0.3, 5, -3 in decreasing order.\nAnswer: 560, 5, 1.2, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11093*z + 54756. Calculate p(-5).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 19\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/16 and ((-10)\/120)\/(1\/(-71))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1080 = 3*n, -3 = f - 0*f. Suppose 6*r**2 - 241*r - n*r - 2*r**2 + 174*r + 11664 = 0. Calculate r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.373 and 31?\nAnswer: 11.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104301*r**4 + 2*r**2 + 12854005*r wrt r.\nAnswer: -1251612*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + 5 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 91 + 4759 + -4843?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4\/4 - 309625*q**3\/2 - 19168573305*q**2\/4 + 76709594470*q - 134249377115 = 0.\nAnswer: -61933, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b - 6. Let m be l(-8). Let u = m - -30. Find the common denominator of (-1)\/8 - (-116)\/u and -49\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 + 41. Suppose m + 0*m + 4*z - 10 = 0, -3*m + 16 = 5*z. Suppose 0 = n - m*n + 3*n. What is the remainder when 121 is divided by g(n)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + o + 52 = 0, -11*o + 6*o + 115 = 5*n. Let u be (-3)\/(-4)*n\/75. Which is the biggest value? (a) 0 (b) -1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15907.\nAnswer: 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 9. Suppose 5*s - z - 28 = 0, -5*z = -2*s + 7*s - 40. Let v be ((-36)\/(-14))\/(s\/28). Let p be g(v). What is the highest common factor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 9:51 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -225 - 12?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 20 + 0 + -5 - (-10 + -15 + -62)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d + 11 - 29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2830840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13630 + 412312 = 7025*w - 214397 + 78339 for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*n + 161*n + 2*m - 11, 0 = -5*n + 4*m + 13. Solve -n*d + 3*p = -8*d + 12, -d + 2*p = -7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55075449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.93 + -51.930004387. Round z to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*i**3\/2 + 14*i**2 + 23*i\/2 - 11 = 0. Calculate i.\nAnswer: -1, 11\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l**2 + 2*l + 1. Let t be u(-1). Let y = t + 1. Find the second derivative of 3*p - 5*p**y - 2*p + p wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2739 + 2737. Let t = 0.04 + 0.06. Which is the nearest to 1\/3? (a) o (b) t (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 245.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1902 - -1906.318. What is w rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -843*w**2. Let l(t) = 2*t**2. Give a(l(c)).\nAnswer: -3372*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.071 * 10541.3\nAnswer: -748.4323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 63 + 4804*g + 38 + 17.\nAnswer: 4804*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-1 - 626)) + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2730800 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - t + (-2 - 1 + 4)*(-3*t - t + 2*t))*(2 + t - 2) + 2*t**2 + 7*t - 7*t + 0*t**2 + 13*t**2 - t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53794.51 and -2133?\nAnswer: 55927.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038 is divided by 974?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.3. Let c = -140 + 559\/4. Suppose -f = -0*f - 3. What is the nearest to -0.1 in j, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 8 - 8 - 7*r)*(-4*r + 2*r + r)*(-3*r + 12*r - 3*r) to d*r + h*r**3 + z*r**2 + b and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 170 * 1941.89\nAnswer: 330121.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x = 63*x - 5*q - 51, -428*x + 5*q = -402*x - 76 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Suppose -30 = -8*i + r*i. Let d(l) = -l + 7. What is the least common multiple of d(i) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/133065 and -107\/30.\nAnswer: 266130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - l + 7. Let n be o(2). Let f(c) = 12*c + 84. Let u be f(n). Suppose u = x - 37 - 63. What is the remainder when x is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170.61282234 + 27.61020124. Let p = -24.0026357 - t. Let a = p - 119. What is a rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 3\/4, -127, -4, -2\/17, -1\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jewj when four letters picked without replacement from eoojujoroowoo?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 28*w + 23. Determine p(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/2 + 12\/24. Let i(d) = 1419*d - 7. Let t be i(c). Factor 10*s**2 - 5*s**3 - 5669 + t.\nAnswer: -5*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.807 in 5, 3, -2\/8399, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1522.6732 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5 = 5*i. Let w(s) = -3*s**2 + 3*s + 4. Let a(b) = 5*b**2 - 4*b - 5. Let h(t) = 3*a(t) + 4*w(t). Calculate h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 4 = -6*a. Let x be (1 - -4 - a) + -2. Solve -4*y + 4*n = n + 3, -3*y - 2 = -x*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/75*((-99)\/6 + 17 + -3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 22. Let s(y) = 0*y + 0*y + n*y**2 - 13*y**2 - 1. Give s(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 10 - 10. Let d = 44 + -33. Let y(j) = -2 - d*j - 4*j - 3*j. Give c(y(b)).\nAnswer: 36*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 122*a**2 + 2758*a + 65. Calculate h(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 2. Suppose -3*v + 4 = -2. Let b(h) = -5*h + 2 + v*h + h. Let u(q) = 3*a(q) + 2*b(q). Find the first derivative of u(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121391\/14 + 8676. Find the common denominator of w and -63\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4309 - 21547\/5. Which is the closest to 1? (a) -15 (b) 2 (c) 1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 3*k**2 + 4. What is the units digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*b - 2 + 104*b + 124*b + 354*b - 57*b in the form p + x*b and give x.\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 142 and 0.5.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 47*q**2 - 406*q - 1293. Give j(-37).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153421300 rounded to the nearest 100000?\nAnswer: 1153400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 1. Factor 2\/3 + 1\/3*k**m + k.\nAnswer: (k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172\/(-35) - 89040\/(-51940)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z - 9. Let t(q) = 36873*q - 39042. Calculate -4338*g(i) + t(i).\nAnswer: 2169*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 324, -0.3 in increasing order.\nAnswer: -3\/8, -0.3, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/7))**(-44)\/(q\/(q**(1\/2)\/q))**(-2) assuming q is positive.\nAnswer: q**(-683\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(637)*-1)**2 + (1*sqrt(91)*-1)\/(-1*sqrt(63)).\nAnswer: 253*sqrt(13)\/3 + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 + 6*a**2 - 44 - 47 as n + l*a + g*a**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/13)\/(693\/(-3003))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288))\/(sqrt(144)*-2).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1 + 0*x + 4 - 9*x. Calculate the remainder when j(-4) is divided by (13 - -2) + -1 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (-12 + 22 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 0.08 (c) 3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1668.\nAnswer: -1\/1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 24640 = -5632. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 178616\/4150 + (-46)\/1150.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/410684594 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 355 - -5260?\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10430*4.\nAnswer: -41720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14082 in 4\/3, -17, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/39 and (-543)\/216 + 0 + (-2)\/(-9).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 33501?\nAnswer: 33445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -2\/9, -200, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**1*q))**(-7\/2) assuming q is positive.\nAnswer: q**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {z: 9, d: 10}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -2.8. Let o = 10.6 - c. Let i = -11.9 + o. Is i less than 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*c**2*q**2 + 13*c**2 - 3*c*q**2 - 18*q wrt q?\nAnswer: 214*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -0*i - 5*m, -14 = -i + 5*m. Let a(x) = -x**2 - 6*x - 6. Let z be a(-5). Calculate the remainder when (z\/((-2)\/(-68)))\/(-2) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -33*u**3 - u**2. Let j be q(1). Let b = j - -31. Is b\/((-3)\/145) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let t be 4 + (-2 - -3)\/(-1). Let i(b) be the first derivative of t*b**2 - 7 + b**2 - b**2 + 4. Calculate y(i(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*w + 3*w + 335 = 0, 2*w = -5*v + 350. Suppose -2*y + v = -y. Suppose 4*j = 220 - y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143361 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 87*s**2 - 36*s - 2. Let y(x) = -718 + 79*x**2 + 715 + 94*x**2 - 72*x. Let g(w) = -11*k(w) + 6*y(w). What is v in g(v) = 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353\/2210 - 1\/170. Which is the closest to -5? (a) g (b) 1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 237*g + 5426. Give n(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 396010.2 decades?\nAnswer: 3960102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 588*i - 400*i**2 - 580*i**2 + 1288*i**2 + 4*i**3 - 900.\nAnswer: 4*(i - 1)*(i + 3)*(i + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c**2 - c**2)*(c**3 + 0*c + 0*c) + 3 - 6*c**5 - 3.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2792*-67.4.\nAnswer: -18.81808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/27)\/((-1)\/9). Suppose u*v + 2*c - 290 = 3*v, 5*v - 482 = -3*c. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f**2 - 2*f**2 + 5*f**2)*(2 + 0 - 4) - 3 + 13 - 8 - 13*f**2 - 2815*f - 215*f**2 + 2815*f to the form u + p*f**2 + m*f and give p.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2947 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 13*a**2 + 13*a + 7. Let c = 338 + -344. Let b be (56\/7)\/(c\/9). What is m(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 10:45 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 7 - (3 + (0 - -3 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - 2*h + 299, 95 = m - 4*h. Suppose -27 = -3*z + o + 34, 0 = -5*z - o + m. Solve z = -7*j + 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589745306?\nAnswer: 2, 3529, 83557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3178 + 0?\nAnswer: 3178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 14. Calculate x(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 2*u - 1. Let t be m(-4). Let s be -1 - (t\/(-7) - 2). Let y = -0.43 + 0.03. Which is the closest to s? (a) 3 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 66320223?\nAnswer: 66320225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 5)*(105*m**4 - 68*m**4 + 78*m**4) in the form n*m + h*m**4 + c*m**3 + v + w*m**2 and give h.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50323103, -50323096, -50323085, -50323070, -50323051, -50323028, -50323001?\n\"Answer: 2*t**2 + t - 50323106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*h = 22, -4*h - 2 - 4 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36401360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.060672\nAnswer: 0.0242688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(((q**(-2\/9)\/q)\/q)\/q)\/q)**(-2\/63))**(-22\/9) assuming q is positive.\nAnswer: q**(-1276\/5103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let h = 5\/34 + 67\/238. Let g be ((-25)\/(-10))\/(2\/(-4)). Which is the closest to 1\/2? (a) u (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.82421 and -8.4626?\nAnswer: 6.63839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**6\/180 - q**3\/2 + 5*q. Let t(v) be the second derivative of b(v). Let k(n) = 10*n. Give k(t(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-9)\/(-6) - 0. Let j = h - -31. Let w = j + -2. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 20. Let v be b(6). Sort 7, v, 1 in decreasing order.\nAnswer: 7, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21858.\nAnswer: 2, 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001112 - -1110010101?\nAnswer: 1200011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 88*y\/5.\nAnswer: -2*y*(y - 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 311161833 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3 - 244*w**2 - 2096*w + 12544 = 0.\nAnswer: -49, -16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 + 3*c - 18 - 22 + 2*c - 2*c - 2*c - 1 + 1 + 2*c + (-2*c - 3 + 3)*(3 + 3 - 4).\nAnswer: -c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.4. Let n = 0.7 + -0.8. Let i be 40\/77 + (-128)\/1408. What is the third smallest value in r, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3 + 2. Suppose 5*x - 4*x = 0. Put h, 5, x in ascending order.\nAnswer: x, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from vviivvivvivvivvvvvi?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 1 v when three letters picked without replacement from {v: 4, i: 2, g: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 3783*v + 15165. Calculate b(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-18))\/((-2)\/18). Suppose -d - b*d = 5*y - 2401, -4*d + 4*y = -3180. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/(-132) + (-10)\/(-15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731798700 rounded to the nearest 1000000?\nAnswer: 732000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 116 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 128, 207, 294?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 + -2.4. Let j = -0.593 + 0.62. Let t = -1.973 - j. What is the nearest to t in -1\/5, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - 8\/(-1 - -3). Suppose -i = w - 10. Let u(l) = -l + w*l - 2*l. What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.2 + 57.645. Let w = t + 0.025. Let k = w - -0.53. Which is the fourth biggest value? (a) k (b) -1\/6 (c) -1\/8 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {g: 1, q: 1, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/12 + 8*x**3\/3 - 20*x**2 + 445*x. What is i(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.022844+692618\nAnswer: 692617.977156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20694 or 20661?\nAnswer: 20661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/5*(-10)\/(-4). Suppose 3*s = -0 + a. What is the nearest to -2\/3 in s, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3 - 130*u**2 - 2272*u - 9344 = 0?\nAnswer: -8, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 2080.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, i: 5}. Give prob of sequence jij.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 7. Let f(y) = 5. Let v(w) = -3*f(w) + 2*t(w). Let r(q) = 5*q + 3. Suppose 0 = -4*n - 2 - 10. Determine n*r(h) - 8*v(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (3*sqrt(110) - sqrt(110))*5 - sqrt(110))\/(sqrt(10) - (-1*sqrt(40) - sqrt(40) - sqrt(40))\/sqrt(4)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 24*f - 22*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/39*(-56 - -53))\/((-2)\/(-4))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + s = -51, -2*l - s + 2 = -19. Let q(g) = -7*g - 9 - 4*g - 12 - l. Let y be q(-4). Round y to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -44, 5, -27 in ascending order.\nAnswer: -44, -27, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjhhhza. What is prob of picking 1 j and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7645.717m to nanometers.\nAnswer: 7645717000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2274*i**3\/5 + 13034*i**2\/3 + 172*i\/15 = 0. What is i?\nAnswer: -1\/379, 0, 86\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2020*p**3 - p**2 + p - 1. Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 6*c - 5. Calculate the remainder when 35 is divided by z(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*q**2*x**2 - 246*q**2*x - 76221*q - x**2 wrt q.\nAnswer: 246*x**2 - 492*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2 + 658*t + 30143 = 0.\nAnswer: -43, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrssssrshh. What is prob of sequence srh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*l**2 + 11*l**3 - 631*l**2.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, c: 1, n: 5}. Give prob of picking 2 u and 1 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-1\/11)\/(r*r**(-2\/3))**41)\/((r\/r**(-2))**26)**(-4\/13) assuming r is positive.\nAnswer: r**(338\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87605\/11 + -7958. Is p <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 690. Let v = h + -48. Is v a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 56242?\nAnswer: -56228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 24 = -1. Let f(x) = x**2 - 1. What is the tens digit of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Let y be v\/(0 - -2) + -1. Let f(q) = -8*q. Calculate the least common multiple of 4 and f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 32158*m**2. Let l(k) = -130*k**2. What is t(l(j))?\nAnswer: 543470200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*c - 36*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256527.8 rounded to the nearest 10000?\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 1, g: 5}. What is prob of sequence cygy?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 62*w**2 + 546*w + 8. What is r(-9)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*b - 3, b = 3*h - 9. Suppose -12 = -h*n - n. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-11)\/10 - -8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-119)*4)\/2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*m - 28 = 113*m. Let y(n) be the first derivative of 0*n**3 - 1\/4*n**4 + 1 - m*n + 0*n**2. Differentiate y(q) wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 416.5 - 414. Round h to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5849 + 37705 = -21*z. List the prime factors of z\/((-6)\/(-2 + 5)).\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + 5 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 72. Let p = 105.1 + k. Round p to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**3\/3 - 4*o**2 + 10*o - 3. Suppose -2*h = 52*a - 350, 0 = 2*h - 5*a - 14 + 63. What is l(h)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 3, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86256 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/120 + 2*k**5\/15 - k**4\/4 - k**3\/2 + 3*k**2. Let o be d(6). Suppose 3*b = 4*b - o. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12)*((-8)\/(-56))\/(36\/8)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14387 - 0.01956229.\nAnswer: -14387.01956229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, u: 3}. What is prob of sequence uuuj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 - 1)*(2 - 3 - 2)*(-7 + 7 + 4*z)*(-z**2 - 2*z**2 + 5*z**2) + 13*z - 13*z - 5*z**3.\nAnswer: -173*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -3*y**3 - y**2\/2 + 11. Let b be k(1). Sort b, 2, 4 in descending order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrryrrry. Give prob of picking 1 r and 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*c**2 + 12 + 4*c - 51*c**2 - 14 in the form x + r*c + i*c**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*i + 651 = -141*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let t(m) = 36108*m - 2124. Let x(o) = -32*o + 2. Let w(b) = 3*t(b) + 3186*x(b). Determine q(w(y)).\nAnswer: -40602384*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 92\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*s**3*u**2 - s**3 - s**2*u**2 + s**2 + 22*u wrt u.\nAnswer: 36*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.62 * -46.9.\nAnswer: -29.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-45)\/20 - 1\/(-4). Let i = -0.4 + 0.8. Which is the third smallest value? (a) -0.2 (b) i (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1028)\/16*(-11 + 3). Solve 0 = 56*t - n + 122 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 95.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 119. Put d, -3, -2, 5 in decreasing order.\nAnswer: 5, d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113129 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-255*z - 144*z + 133*z)*(z + 2*z**2 - z + (-4*z**2 + 0*z**2 + 5*z**2)*(6 - 2 - 2) + (z - 2*z - z)*(-1 + 2*z + 1) + z**2 + z**2 - 3*z**2).\nAnswer: 266*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x - 0*x, 0 = -2*a - 3*x + 2516. List the prime factors of a.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 2, n: 6, z: 1, h: 7}. What is prob of sequence hd?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.2366655422 and -1218.\nAnswer: -1207.7633344578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0408483556*2\nAnswer: 0.0816967112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 30. What is l(14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*a - 4, -a + 2 - 16 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3759 in -1, 3, 3\/7, 1\/4, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71884362.\nAnswer: 2, 3, 11, 773, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2\/13 (c) -2\/815 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y + 103. Let s be q(18). What is the common denominator of 62\/39 and ((-18)\/60)\/(12\/s)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -2.99. Let w = -59 + 58.8. Let t = -0.2 + 0.3. Sort r, w, t in ascending order.\nAnswer: w, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21430 is divided by 537?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1553 - -1574. Is 13 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**2 + r - r. Let l(s) = 10580 - 10580 - 2*s**2. What is q(l(f))?\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 61.9 and 0.31723.\nAnswer: 62.21723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7845 = 306*y + 247*y + 103 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2793.\nAnswer: -2\/2793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 44*c = -8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43279877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5, 0 = -g - 3*t + 15 + 37. Let h = g + -29. Solve 6*l = l + h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4181156429?\nAnswer: 431, 499, 19441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 11:02 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/83 + 255\/7138. Let y = 23\/129 - v. Calculate the common denominator of ((-1)\/(-6))\/(80\/(-1488)) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1169600, 1169589, 1169562, 1169513, 1169436, 1169325, 1169174, 1168977?\nAnswer: 1168728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 + 5*b**2\/2 - 5*b + 1. Let u(y) = y**2 - 6*y + 6. Let x(o) = 5*u(o) + 6*v(o). Let g(h) = -1 + 1 + h**2. Give x(g(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -9 + -4 - (1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*-4*(sqrt(7) + -1 + sqrt(7))*2 + -2)**2 + 4.\nAnswer: -3840*sqrt(7) + 29576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 7*x - 10. Let h be g(-2). Let c be (0 - (-2)\/145)\/(h\/20). Is 0.1 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-22)\/154)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 74. Solve -2*g = 5*w + h, -3*w + g = 4 - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7056*j - 7. Let u(k) = -12*k**2. Calculate t(u(s)).\nAnswer: -84672*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + p - 1. Let g(l) = l**2 - l + 1. Let b be 1*((-5)\/(-10))\/((-2)\/(-4)). Give b*g(k) + a(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1\/9 - (-38)\/6. Solve -2*h - r - 4 = 0, 2*i - 9 = 3*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f - 47 = -r, -f = 4*r - 188. Suppose 4*d - 97 = -3*m, -2*d + 20 + 26 = 4*m. What is the remainder when r is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*u**3 - 41*f**3*u**2 - f**3 + 1099*f*u + 2*u**3 wrt u.\nAnswer: -18*f**3*u - 82*f**3 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -49\/4, -2\/5, 3.9, -1\/8, -0.1?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22320113222 (base 4) in base 9?\nAnswer: 5326585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1291924189 * 0.5.\nAnswer: -645962094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 - 494\/3. Let h(o) be the first derivative of -1 + w*o**3 + 0*o + 1\/2*o**2. Calculate h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21316725 is divided by 474?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/44 - 6\/(-33). Suppose r - 4*w + 1 = -18, 2*r - 4*w + 46 = b. Let g be (6\/(-4))\/(r\/144). Solve 0 = 2*o - g, -4*v + 5*v = -o + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+-95874119876\nAnswer: -95874119876.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 20*d**2 - 60. Let k(v) = -v**2 + 3*v - 4020. Calculate k(n(l)).\nAnswer: -400*l**4 + 2460*l**2 - 7800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1100155 divided by 119.\nAnswer: -9245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let a = -347 - -345. Let q be ((-6 - 3) + s)\/a. Solve 3*w = -q*l, -3*l + 6*w - 28 = 2*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 205*k**5 - 600*k**5 + 131*k**5 + (4*k - 2*k - 3*k)*(2*k**4 - k + k).\nAnswer: -266*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1975 divided by -79\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778182178 is divided by 445?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*u - 73*u = -y + 1398, 2*y + 5*u - 2823 = 0. Calculate the smallest common multiple of 16 and y.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 86. Solve -m*b**3 - 5066 + 20*b - 12*b**3 + 5066 + 5*b**4 = 0 for b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -1\/2*x**2 + 10*x - 79. Determine l(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5867 - 5853 = 4*j + 2*q, 4*q + 24 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 11*t + 52. Calculate b(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (172\/10)\/(3 - 32\/10). Let y = 89 + r. Solve y*d - 4 = -2*h, -d - 2*h + 4 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 9*q. Suppose -72 = -q*b + b. Let u = b + 84. Calculate the remainder when 20 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 19) + 5 + -5 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 19. Suppose 5*f - 24 = -y, 2*y - 15 = -2*f + 33. What is the remainder when y is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 4*t + t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*s + 5*s = -18773, -3*s + 9 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 11*w - 13. Let a be m(9). Suppose j = -a*p + 5754, 4*j - 377 = -p + 770. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 16*g + 440. Let x = 264 + g. Let m = x - 22. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26494 and 7259356?\nAnswer: 7259356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30227 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 470, 707?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5941 - 5938. What is the nearest to 2 in y, -3\/2, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 279*s + 555*s = 275*s - 22, 2*l - s + 18 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1367384596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -220507 divided by 1\nAnswer: -220507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/22*(-2)\/(-3). Suppose -2*r + x + x = -10, -r = 3*x - 1. Let h = f - r. Sort 1, 5, h in descending order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/1533?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -310?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:44 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -7*g - 234. Let b = -37 - g. Let s = -10 + 15. Calculate the highest common factor of s and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*z + 2)*(-z**2 - 4*z**2 + 3*z**2) - z**3 - z**3 + 3*z**3 + 0*z**3 - z**3 - z**3 - 5*z + 3*z**3 + 5*z - 91*z**3 + 106*z**3 - 54*z**3.\nAnswer: -41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-924)\/(-162) - (-87)\/(-2349). Suppose -13\/6*i**2 - 1\/2*i + 0 - h*i**3 = 0. What is i?\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*i + 5*x, 3*i - 5*x = -0*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73*-219.\nAnswer: -15987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 177 + 50 + 143*r**3.\nAnswer: 143*r**3 + 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 b when four letters picked without replacement from {b: 4, k: 16}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -43. Suppose -11*m = -1 + x. Which is bigger: 12\/11 or m?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -261*r - 1499. What is the remainder when g(-6) is divided by (-500)\/(-14) - (-4)\/14?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580*l**2\/3 - 8*l\/3 = 0. What is l?\nAnswer: -2\/145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 - 1430*o**2 - 372*o**2 - 118*o**2 - 612*o**2 + 25*o - 25*o - 8*o**2 + (-o + o + 2*o)*(-o - o + 4*o) + 3*o**2 - 4*o**2 + 0*o**2.\nAnswer: -2541*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (97 + -29 - -19) + (-7 + 3 - 2 - -4)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -70. List the prime factors of -3 + -2*1*(-411)\/w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 640 = 382 + 349 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:41 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = w + 11*q, -3*w - 29*q = -30*q - 23 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -149966 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -179*f**2*k - 4*f*k + 1828*k wrt f?\nAnswer: -358*f*k - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j**(-2\/25))**3*((j**1\/j*j)\/((j*j**(-1\/12)*j)\/j*j*j))\/(j**(5\/2)*j**(-3)) assuming j is positive.\nAnswer: j**(5803\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882553239 to the nearest integer?\nAnswer: 29708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 44, -185 = -3*w + h - 165 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357 divided by -3.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31103 + 2?\nAnswer: -31101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9614.4 to the nearest one hundred.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 93 = 17. Suppose 0 = 3*b + 2*y - v, 4*y - 42 = -5*b + 2*y. Let q be ((-14)\/(-5))\/((-4)\/(-100)). Calculate the highest common factor of b and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4352 and 1280.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-329)\/(-63) + -5 + 0. Which is the nearest to -0.2? (a) -16 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101660474 to the power of 1\/2, to the nearest integer?\nAnswer: 10083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 4*u = -46, 2*u = 5*q + 91. Let a = 843643\/27850 - 174\/557. Let l = 138\/25 + a. Find the common denominator of q and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130790.98843 plus 32?\nAnswer: 1130822.98843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + (-5 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by (0 - 1)\/((-3)\/153).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {d: 2, v: 2, e: 9, x: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 52, 1\/272, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttlt when four letters picked without replacement from lllltltlltltt.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*a + 9. Is a < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -86*((-21)\/6)\/7. Suppose 0 = 3*n + k - v, -3*n - 5*k - 85 = -8*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41969, 41971, 41973, 41975?\nAnswer: 41977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*v - 103*v - 87*v + 43*v + 46*v as r + l*v and give l.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6090454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.2531, -1, -1.7, 4\/5, -0.5?\nAnswer: 0.2531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68922258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g + 2 - 2 - 2*g to k*g + x and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 - 110*y**3 + 451*y**2 - 568*y + 228 = 0.\nAnswer: -114, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/879 and -143\/6?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 603*y + 3026. What is n(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 4)*(919 - 919 + 57*f)*(23*f + 6*f + 4*f) to the form b + u*f**2 + r*f and give u.\nAnswer: -1881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40167 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 301.3 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/184328 and 35\/4?\nAnswer: 184328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -2\/3, -0.5, -0.406, -6\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26747919 divided by 1\nAnswer: 26747919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3058441, -3058253, -3058065, -3057877, -3057689?\n\"Answer: 188*q - 3058629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93029094?\nAnswer: 2, 3, 157, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-61 - -317) + (-6)\/(-2). What is the greatest common divisor of 287 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 24. Suppose 0*s = s - 26. Suppose -8*u + 4*u = -3*t + s, 3*t - 29 = u. Does t = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 22. Let a(j) = t - 5 + 14*j. Determine a(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1110\/1329481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587251 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/26 - x**2\/13 - 10. Let f(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29121322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 6*h - 4. Let b(c) = 6*c**2 - 7*c - 5. Let g(s) = 4*b(s) - 5*o(s). Let a(j) = 1 - 8 + 6 - 4*j + 2*j**2. Calculate -2*a(m) - 5*g(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -32 + -3 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(14\/3)*i*i*i**(-9)*i**4\/(i\/(i*i**(3\/11))) assuming i is positive.\nAnswer: i**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/11))\/(t\/t**(-1\/16)))**25\/((t*t**(-4\/5)\/t)\/(t\/((t**(-4)\/t)\/t)*t)*(t**(-2)*t*t)\/t**(-1\/2)) assuming t is positive.\nAnswer: t**(7929\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 2*m**2 + 3*m + 2. Let n be t(-2). Calculate the greatest common divisor of 20 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187468*c**3*w**4 + 22*c**3*w**2 + 7*c**3 - 47*c**2*w - 2*c wrt w?\nAnswer: -4499232*c**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 189*d**2 - 13*d - 17. Let w(a) = 63*a**2 - 4*a - 5. Give -2*t(q) + 7*w(q).\nAnswer: 63*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s - 2*s - s. Let h(d) = 10*d**2. Let w(x) = 12*x**2. Let y(z) = -3*h(z) + 2*w(z). Give y(q(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - x**2 - 7. Calculate h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 72*f + 2418. Calculate the least common multiple of 952 and u(-33).\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436770 times -0.13?\nAnswer: 56780.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 1, 2\/3, 2, -2, -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17659*q**2*y + 22*q + 164*y wrt q.\nAnswer: 35318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 5. Let n be k(-9). Solve n*v - 3 = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**3 - 2*k**3 + 0*k**3.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151831419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12053?\nAnswer: 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 4. Suppose 0 = -7*d - 7*d + 28. Suppose -2*s + d*s - s = 0. Calculate r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2 - 32*c = 0. Calculate c.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 392\/(-2352)*4\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 3*o + 16. Solve 4*x = -5*d - 16, -10 = o*x + 3*d - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-150))\/((-3945)\/2630)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 184805867 - 5?\nAnswer: 184805862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/512244 and -109\/140616.\nAnswer: 7171416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354.9 take away -0.7?\nAnswer: -1354.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062 + -951?\nAnswer: -950.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 306969\/79 greater than 3887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 46190 = -4*x + 29251, 0 = 3*x - 5*s - 56572. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391621 is divided by 5845.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176147 is divided by 295?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 270 = 149 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -1\/13 (b) 3\/7 (c) 4\/15 (d) -1\/2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97048 and 49?\nAnswer: 679336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 0.4, 9, 103, -3, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4441096 - 20769127. Let a = -16327953.999972 - m. Let z = -77 + a. What is z rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 + 34*n - 315\/2 = 0. Calculate n.\nAnswer: 5, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.2337 + -6.333263. Round g to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from ffyyiyii.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q = -93*q + 1150. Calculate the greatest common divisor of q and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4482 by 3.\nAnswer: -1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -221\/5. Let r = -0.4 - -0.5. Let n = -12.3 - -12. Which is the third smallest value? (a) n (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 687883*197\nAnswer: 135512951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/60 and -55\/2048544.\nAnswer: 10242720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.3, 4, -2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -53.2, -1.\nAnswer: -53.2, -1, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 24 = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*3 + sqrt(85))*-2 + sqrt(85))\/sqrt(5))**2 + -3 + -4.\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*m + 459 = 0, 0 = 6*x - 4*x + 4*m - 186. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0*a**3 + 0*a - 15*a**2 + 0 + 1\/24*a**4. Let n(t) = 34*t**2. Give y(n(d)).\nAnswer: 34*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84\/(-105))\/(3\/(-15)). Suppose -3*p = -j*p, -p = -3*m + 210. Calculate the smallest common multiple of m and 11.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8357, -302, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826\/(-21)*(-6)\/4.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 100 = 0. Let i be (1\/(-2))\/((-2)\/h). Suppose x = 2*z - 11, i*x + 25 = 5*z + 3*x. Sort 2, 1, z in decreasing order.\nAnswer: z, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -113. Let z(p) = -39*p**2 + 11*p. Let f(s) = -25*s**2 + 7*s. Let x(m) = t*z(m) + 8*f(m). Let q(o) = -21*o**2 + 5*o. Calculate -2*q(g) + 9*x(g).\nAnswer: -3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30628 >= 612561\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 2*n**2 + 0*n + 1\/4*n**5 - 2*n**3 + 27 + 19\/8*n**4. Suppose a(u) = 0. Calculate u.\nAnswer: -4, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57699*h**3 + 4*h**2 + 4*h**2 - 57701*h**3.\nAnswer: -2*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000 + -110201100?\nAnswer: -110120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 16) in base 6?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1319476 and 2124?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*t + 10, 672*w = -2*t + 675*w + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143550 and 720?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 9*d - 42. Let w(p) = 2*p + 2. Let f be w(6). What is the remainder when m(5) is divided by (-2)\/(-2 - 0) + f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5761 - -3968. Which is bigger: -1792 or f?\nAnswer: -1792","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*m - 4*m**2 - 2 + 8*m**2 + 0 + 2*m**2 - 4*m**2 in the form a*m + z + y*m**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289 plus 48.3684?\nAnswer: 2337.3684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o - 428. What is y(43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n = 39*n - 66. Suppose 3*j + 9 = 3*p, p + 5*j - 3 = 2*j. Suppose -2 + p = w. Calculate the smallest common multiple of w and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (330\/660)\/(8\/688).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/((-1)\/(-3)). Suppose -k*m = m - 9. Suppose -v + m = -0*v. Solve -3*g + 2 = v*d - 19, 4 = -4*d + 4*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*r - 118. Suppose -1 = -s + 1. Let l = 15 + s. Calculate the remainder when r is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.1 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205823736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 14) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhdhhhhdhjhdhhhh. What is prob of sequence hdd?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -5, 2, -49 in increasing order.\nAnswer: -49, -13, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 18*x + 13. Let k(w) = -902*w**3 - 2*w**2 - 2*w - 1. Is k(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*v = -88*v + 189. Let y(k) = -10*k + 10. What is y(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + 144\/90. Solve 0 = -4*j - 5*q - 21, 3*j = 5*q - 9 + t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 5. Let s be q(6). Let j = 11 - s. Let i be j\/9 - (-19)\/24. Put -1\/4, -5, i in descending order.\nAnswer: i, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1798101252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43152 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 24. Suppose -7 = 7*g - u. Let z be 26\/(-117)*(g + 0). Sort -3, 4, z.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125742 and 26942.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Suppose b = 2*p - 73 - 233. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 2*u**4 + u**2 + 3*u**3 - 3*u**3 - 2*u**4 + (2 - 2*u**4 - 2)*(1 + 0 + 0) + 4*u**4 + 3*u**4 - 6*u**4 + (u + u + 2*u)*(-3*u**3 + 4*u**3 + u**3).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34452001957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 5624542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -27 - -93) + (-1 - -1) + 18.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71988 by 2.\nAnswer: -35994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*z - 358405 - 1720552 - 84343. List the prime factors of z.\nAnswer: 2, 3, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*b + 3360 + 14946 = 122893. Calculate the least common multiple of b and 63.\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (-1 + sqrt(539)*-3 + sqrt(539) + sqrt(539) + sqrt(539) + sqrt(539)))*-2*-6*3 + 4)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 1 - (-125 + 154 + 15).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021 (base 3) to base 9.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 9*y - 6. Is u(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52767713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 13) to base 8.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5, t: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/4)*i)\/i**(1\/6))**(28\/9) assuming i is positive.\nAnswer: i**(7\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6504102 + 122?\nAnswer: 6504224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2, 54 = 2*m + 3*m - 4*g. Let o(q) = 6*q + 2. Let t(v) = -v**2 + 8*v - 1. Let h be t(7). Calculate the remainder when o(h) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 + 20*i + 9. Determine m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67.36053 - -67.29. Round u to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.01 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/7, -4.5, -44, -5, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*x - 1 - 199, k - 268 = 5*x. Suppose -4*n + 284 = -4*p, -2*p - 10*n = -9*n + 133. Let w = x - p. Solve -2*v + w = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358c (base 13) in base 3?\nAnswer: 10021201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-18 - -13) + -19.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -26*h**2. Let r(s) be the first derivative of -88*s**3 - 83*s**3 + 173*s**3 + 16. Calculate p(r(j)).\nAnswer: -936*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1900) - (sqrt(1900) + 1)**2) + -3)*-6.\nAnswer: -68418 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 20656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -2*t - 39. Let m be 16\/5*t\/14. What is the highest common factor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 31*h = -3*v + 125, -5*v + 155 = 4*h. Solve 3*z + v = -3*u - 2*z, -32 = 4*u + 3*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650230 is divided by 5081.\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-39)*-1)\/(3\/54)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + -3 - -4) + 312. What is the tens digit of m\/15 - (-12)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 525984582*n - 69164945125428681.\nAnswer: -(n + 262992291)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-45)\/(-12))\/(6\/16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:03 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(21*(-26)\/2184)\/((-2)\/(-328))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*h**6 + 120*h**5 - 3*h**2 + 46296?\nAnswer: 14640*h**3 + 7200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 3*i**2. Let p(z) = 5*z**2 - 2*z - 3*z**3 + 2*z. Let c(n) = n**3 - 8*n**2 + n - 3. Let s be c(8). Calculate s*v(d) - 3*p(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 3 - 8 - 98*o + 90*o. Let t be b(-5). What is the second smallest value in 11, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16884 and 20727.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 1236\nAnswer: -47\/1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -143*q + 130. Let u be w(12). Let b = u - -3243. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, -69, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1458 from 7447.16495.\nAnswer: 7447.01915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69685586 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**4 - 4*r**4 - 67*r**3 - 6*r**4 + 2*r**2 in the form i*r + o*r**2 + m + j*r**3 + n*r**4 and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b - b - 2*b + 0 + 0 + (0 + 3 - 1)*(0*b + b + b))*((-1296 - 1419 - 1394)*(-1 + 1 + b) - b + 2*b + 0*b) to f + j*b**2 + v*b and give j.\nAnswer: -4108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 12*d = -837. Calculate the greatest common divisor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7)\/56*-10*(-64)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:58 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6414100 and 17248.\nAnswer: 51312800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26550443 (base 8) to base 14\nAnswer: b0d031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxx when three letters picked without replacement from {k: 11, x: 4, j: 3, h: 1}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 3, 205, -18 in decreasing order.\nAnswer: 205, 3, 4\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Let w(o) = 3*o - 12. Let j be w(m). Suppose 5*z - 2*x = -x + 125, 0 = -4*z - j*x + 81. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31 - -9 - (-1 - 1). Let t be ((-2)\/(-4))\/(3\/d). Suppose q - 29 = t. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6\/(-21))\/((7194\/(-17556))\/109).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2897 + -2846. Calculate the lowest common multiple of f and 8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/468 and 79\/3264?\nAnswer: 127296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 170*s + 4601. Calculate v(23).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 90 + -1 + 16 + 5.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g + 22. Determine v(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 - 7 = 0, -8765 = -3*h + 2*i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-2))\/2*-20. Let v = 50 - c. Suppose 2*z = 7*z - v. Calculate the smallest common multiple of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 6 = 19*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4)\/sqrt(2) + -2 - ((sqrt(32)\/sqrt(2))\/sqrt(8) + sqrt(32)*4))**2.\nAnswer: 64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 2}. Give prob of picking 1 a and 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/5 - 16*d**4\/5 - 34*d**3\/5 - 4*d**2 = 0?\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 1) + (-108)\/(-42). Let h = -23.74 + 24.24. What is the fourth smallest value in -0.2, h, x, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 20288098.\nAnswer: -3\/10144049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11440845.\nAnswer: 3, 5, 13, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2925498 by -3.\nAnswer: 975166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.278 - 0.378. Which is the closest to w? (a) 1\/5 (b) 3\/2 (c) -7\/5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {r: 4, x: 3, g: 2, f: 2, j: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -346?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = r + 20, -5*r = 2*s + 1 + 14. Suppose s*h - 4 - 6 = 0. Let l(p) = h*p**2 - p**2 + 0*p**2. Let k(j) = -7*j**2. Give l(k(y)).\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.16 times -0.6?\nAnswer: 2.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265893 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021200211021 (base 3) in base 7?\nAnswer: 5543044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 266675 * 0.0276\nAnswer: 7360.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 18. Suppose 0 = -5*l + 37 - 7. Suppose 0 = -r*c + 2*o + 52, -2*c + 26 = l*o - o. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4329749 and 877.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 4, 7115 in decreasing order.\nAnswer: 7115, 120, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 827550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -3 - -3) + 6 + 1. Let g be (-106)\/(-5) + h\/(-25). Which is smaller: 19 or g?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjd when three letters picked without replacement from {s: 4, b: 2, d: 3, j: 2, p: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7962 and 110597488?\nAnswer: 2654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91821 by -11.\nAnswer: 91821\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337*a**2*h**3 + 2*a**2*h**2 + 3*a**2*h - a*h**2*m + 27*h + 14*m wrt h?\nAnswer: -2022*a**2*h + 4*a**2 - 2*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/7 - 737*a**4\/7 + 210*a**3 + 2*a**2\/7 - 1471*a\/7 + 105 = 0.\nAnswer: -1, 1, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = -4*f. Let g be 8\/3 + (-1)\/f. What is the first derivative of -g - 3*i - 4 + 4 wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*l**3 + 369*l**3 + 364*l**3.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 2. Suppose -6*h = -2*h + 28. Let z = h - -11. Suppose 12 = -3*y + 7*y - z*b, -19 = -3*y + 5*b. Calculate r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 1405*j**2 + 5680*j + 5700.\nAnswer: -5*(j - 285)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1634 + -1632.821. Let d = l - 0.149. Round d to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3589 is divided by 109.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343 - 0.10723989074.\nAnswer: -343.10723989074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 854, 1722, 2578, 3416, 4230, 5014?\nAnswer: 5762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (128\/(-44) - -3) + -541*(-328)\/44. Calculate the greatest common divisor of o and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 76 = -w + 9*a, 5*a + 82 = -w. Let g be 86\/(-5) + (-72)\/90. What is the units digit of ((-96)\/g)\/((-2)\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 15*p**2 + 24*p - 11. Determine i(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/45*(-7 - -16). Let s(f) be the first derivative of 0*f**4 + 9 + 0*f**3 - 4*f + 0*f**2 - m*f**5. Differentiate s(r) with respect to r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7908 + 70236 = 1221*f for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1649 + -819. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 18 = -2*c, c + 3 = 3*c - r. Which is smaller: -1\/19 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335\/1197 - 1\/171. What is the smallest value in -25, w, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -27.058. Let d = 0.258 - g. Sort -2\/7, d, -1\/6, 1 in ascending order.\nAnswer: -2\/7, -1\/6, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 16 = -2*w + 6*w. Let g(o) = 6*o**2 + 10*o - 11. What is g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-20)\/((-1120)\/14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Suppose c*z - 46 + 6 = 0. What is the smallest common multiple of z and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 4, -110 in increasing order.\nAnswer: -110, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88736032 is divided by 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + x + 18 = 0, 6*x = -4 - 8. Solve -q*l - 5*o = -13, 9*o + 5 = 10*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1947, -1909, -1851, -1779, -1699, -1617?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 101010 (base 4) to base 10\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447 - 296. Let n = k + -117. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 57978 and -208.\nAnswer: 57770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3\/2, 0, 11, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 - 249. Let d = u + 77.9. Let q = d + 0.1. Put 4, -3, q in descending order.\nAnswer: q, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = 15*x - 1978. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9362 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:55 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 7*w + 176. Suppose -119 = 17*s - 10*s. Let h be a(s). Solve -2*z + 16 = 4*p, h*z = 3*z + 2*p - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2\/9 + 340*k\/9 = 0.\nAnswer: 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziadibbziaidabaabdb. Give prob of picking 1 i and 3 b.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 divided by -5969?\nAnswer: 444\/5969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -430\/7 + 3747\/70. Let s be -3 - -2 - (-12 - 1). What is the common denominator of z and (-2)\/2 + 79\/s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.508 times -1?\nAnswer: 4.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.7826km to nanometers.\nAnswer: 86782600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let b(h) = h**2 + 6*h - 3. Let u be b(-7). Let v(i) = -5*i + u*i + 3*i - 6*i. Give m(v(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s**8\/s*s*s*s*s)*s**(-5\/8)\/s assuming s is positive.\nAnswer: s**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -44700584 and -44700586 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*t - 3*r - 701 = -r, 3*t + 2*r + 1 + 3 = 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/180 and 89\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-6 - -2 - -1). Suppose -18 - q = -7*o. Suppose -o*r = -84 - 66. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 545.6.\nAnswer: -543.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -594.5393 to zero dps.\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-3)\/((-18)\/88). Let j = k + 120. Suppose 0 = -t + s + 16, 5*s - 10 + j = 4*t. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 17. Let j be l(-3). Calculate the common denominator of (1 - (4 + (-13)\/j)) + 0 and -17\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 2\/5, -2\/7, -4.31, -2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*z = -20060 + 20096, 5*x + 2*z - 57 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let v(i) = -i**2 + 6*i + 8. Let w be v(7). Suppose 4*b - 4 = -6*p + 2*p, -2*p = 5*b - 2. Let k(m) = m + p + w - 2. Calculate n(k(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 2. Let w be i(-2). Suppose 12 = 3*p - w. Solve -p*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746.4*5.\nAnswer: 3732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 16*x - 8. Let t be r(14). Calculate the highest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002948204 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 23. What is s(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8929?\nAnswer: 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 2400?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 594 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - a - 13 = 0, a = -3*p - 0*a + 11. Let b be 8\/3*(p + -1). Solve -c = -3*c + b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4698827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6514, 52 in increasing order.\nAnswer: -6514, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 9*h**2 - 2. Let l be r(9). Is 284\/2*l\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l*l\/((l*l*l*l**(1\/7)\/l)\/l))\/l)\/(l**(-16)*l) assuming l is positive.\nAnswer: l**(118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 256 - 261. Let i be (-4)\/(-6) - 1 - 0. What is the third biggest value in 4, w, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -49 = -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 1\/252*o**8 - 2\/105*o**7 - 1\/3*o**4 + 0 + 0*o**3 + 11\/45*o**5 + 0*o + 95*o**2 - 1\/30*o**6. Let n(v) = 0. Calculate v.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 365574*s. Let x(k) = -2*k. Calculate x(v(n)).\nAnswer: -731148*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16, 5*y + 2*o = -0*o + 22. Suppose -2*f + y*f = 100. Let p(z) = 3*z**2 + 20*z - 48. Let c be p(2). Solve u + f = -c*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 127*q**3\/3 - 8*q**2 - 31*q - 3. Let p be k(14). Let t = 17307 - p. Round t to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 31. What is b(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((3*-1*sqrt(14))\/(sqrt(6)\/(sqrt(12) - sqrt(3))) + -6*(-5 + 2*sqrt(700))))**2*3.\nAnswer: -797040*sqrt(7) + 11534724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672462559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11617 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 51 = -6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4096 - 6949. Let p = 39917\/14 + k. Calculate the common denominator of p and -65\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/117 - 8\/(-36). Let v = -1\/46 + -11\/23. Let k(s) = -s**2 + 3*s + 9. Let x be k(4). Which is the third smallest value? (a) x (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*m*o**3 + 794*i*m + 109*m*o**3 - o wrt i.\nAnswer: 2*m*o**3 + 794*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 32*y + 162. Give a(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -117, 3877, 2, 1, -3, 5 in ascending order.\nAnswer: -117, -3, 1, 2, 5, 28, 3877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z = 83*z + 236 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/149135696 and 83\/27880.\nAnswer: 745678480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*r + 3*r + 28 + 10*r - 34*r**2 wrt r.\nAnswer: -68*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14248 divided by 7124?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 615665 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141 + -434?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.344 (b) 0 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 835845744 to the nearest integer?\nAnswer: 28911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.3 - -4.7. What is the smallest value in 3, m, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003444 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174 - 170)*(-1)\/(-14)*4.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 + 1. Let s(r) = -4*r**3 + 4*r**2 + 2*r - 1. What is -6*l(m) - 2*s(m)?\nAnswer: 2*m**3 - 2*m**2 - 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4746 and 11968734?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16136 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 40 = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-29 - -24) + 3 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 176 = h, -5*t + 13*h + 42*h - 3*h = -220 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*h + 459988 = 0, u - 423878 = -5*h + 36102. Round u to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*v - 37, -3*t + 8*t = -4*v - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/3780 + h**6\/1620 - h**5\/135 - h**4\/27 - 15*h**3 + 65*h. Let d(r) be the second derivative of n(r). Factor d(a).\nAnswer: 2*(a - 2)*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 c when four letters picked without replacement from fgcroggfgfcfffgrcgf.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 68 + 58 = 3*w, -3*w + c + 130 = 0. Differentiate -40 + 11 + 8*d**2 - 22 + w*d**2 with respect to d.\nAnswer: 102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -774726 (base 8) to base 5\nAnswer: -31314231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40682034619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*q, -3*q - 28 = 4*z - 0*q. Let u be (-2338)\/(-13) - z\/26. Suppose s = -3*s + u. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let q(y) = 2 + 11*y**2 + l*y + y**3 - 3*y - 3 + 8*y. What is the remainder when q(-10) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0*i)\/(i*(i\/i**(3\/2))\/i))\/(i*i**(-1)*i*i*(i**(-3)*i)\/i))\/((i\/(i**(-3)*i)*i)\/i*i**6*i**(2\/7)\/i**6) assuming i is positive.\nAnswer: i**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-28) + (-62)\/24)*(-42)\/4. What is the greatest common factor of j and 231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 + 67*n**2 - 200*n + 16. Let q be k(11). Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136\/3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 4*b - 2*b + (0*b + 2*b - b)*(2 - 5 + 2) + b + b - b - b - b - 2*b to the form f*b + z and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8 - 5.66. Let k = q - 0.04. Round k to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -21*n**3 - 22*n**2 + 5*n - 5. Let u(i) = -10*i**3 - 11*i**2 + 3*i - 3. Let t(r) = 3*b(r) - 5*u(r). Find the third derivative of t(z) wrt z.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**3 + t**2 + t - 1. Let r be p(1). Let u be 6 + (-1 - (-1 + 1)). Calculate the greatest common divisor of u and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/6*104\/12. Suppose -5*r + 2*r = -s. What is the highest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -216355, -432707, -649059, -865411?\n\"Answer: -216352*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(1 - -54)\/1. Let r = -201 - -204. Suppose -r*z - 4*x + 0*x = -49, -3*z + 4*x = -17. What is the greatest common divisor of f and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18839 divided by -11\nAnswer: -18839\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 3*t**4\/20 + 2*t**3\/3 + 2*t**2\/5 - t. Factor w(b).\nAnswer: (b + 2)*(9*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 21*u**3 - 4*u**2 - 7*u - 8. Determine w(-2).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(2\/5)*m\/((m**2*m)\/m)*m*m\/(m**0\/m)*(m**2\/((m**(-6)*m)\/m))\/(m**(1\/3)\/(m*m\/m**3*m)) assuming m is positive.\nAnswer: m**(1027\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -233, -299, -297, -203, 7?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9 - c?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.564 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300 - -302. Find the second derivative of -95*t - 21*t**2 + 18*t**y + 44*t**2 wrt t.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vkvkvvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/3 + d**2\/2 + d + 751. Suppose -16*m - 27 = 21. Let c(i) = -6*i**2 - i - 2. Calculate m*s(j) - c(j).\nAnswer: 3*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*q**4 - 2378*q**3 + 5284*q**2 + 944*q - 3840 = 0. Calculate q.\nAnswer: -240, -4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:52 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1072 - -4?\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071705 is divided by 690503.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -71. Suppose -37 = -j - o. What is the smallest common multiple of 8 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -936 or 2\/7?\nAnswer: -936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977 = 4*m + 3*k - 986, -8 = -m + 5*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432545.4 nanometers to kilometers.\nAnswer: 0.0000004325454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21463 by -1.\nAnswer: -21463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 63*t**6 + 293*t**2 - 464. Find the second derivative of o(d) wrt d.\nAnswer: 7560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose 112 = -226*t + 233*t. Let g be ((-7)\/(7\/t))\/(-2). Calculate the greatest common divisor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:12 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/11)\/c*c**(-15)*c**(3\/2)*c\/((c*c\/(((c**(10\/9)*c)\/c)\/c*c))\/c)*c)**(5\/6) assuming c is positive.\nAnswer: c**(-12175\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Let i(g) = 1 - m + 1 + 1. Let w(x) = 13*x + 23. Let j be w(-2). Let f(a) = a - 2. What is j*f(r) + 5*i(r)?\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35373 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.009 and 1.7?\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -v + 176, 2*m + v - 101 + 15 = 0. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 7, 2, -2, 1145, 5.\nAnswer: -4, -2, -1, 2, 5, 7, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 107?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146295 - 13125520.\nAnswer: -13271815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -441*t + 103*t + 195*t to x + c*t and give c.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 119826 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-12)*6\/(-3). Suppose 4*c - i = 23, i - 12 = p*i. Suppose 2*b = 4*g + 20, -c*b + g = -2*b - 5. Solve -3*l = -2*r - 15 - b, r + 18 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460100402 is divided by 2213.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {j: 2, p: 2, w: 9, s: 3, e: 1, d: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 61*s**4 - 3*s**3 + 47. Let g(c) = -c**4 + 2*c**3 + 1. Let p(d) = 2*g(d) + i(d). What is the first derivative of p(a) wrt a?\nAnswer: 236*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-64))\/((-2)\/(-36 + -4)). Which is the smallest value? (a) -5 (b) 2\/11 (c) i (d) 1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(18)\/sqrt(3))\/sqrt(3) + sqrt(8) + sqrt(128)).\nAnswer: -55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21962*l**3 - 302 - 21962*l**3 + 744*l**4 wrt l?\nAnswer: 2976*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/290)\/((-172)\/215*(-15)\/48).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from qhhqqffhhq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = i - 3*i. Let s be i\/16*8\/10. Solve -s*t - 12 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 divided by 2142?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4974, 9946, 14934, 19944, 24982, 30054?\nAnswer: 35166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4845 divided by 15\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6, 2\/7, 707, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o + 7*o**3 - 6*o**2 - 16*o + 24*o as l*o + t*o**2 + y + u*o**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 4 (b) -0.67 (c) 0.4 (d) 0.03 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-150)\/25)*2\/14*1. What is the nearest to 20 in x, 0.5, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*s**3 - 17*s - 990?\nAnswer: 99*s**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/30 - (-39)\/18. Suppose -r*h - 11*h = -6474. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 6:41 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-96))\/(3\/72*-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 5*z**4\/12 + 259*z**2. Let f(u) = -3*u**2 + 2*u**2 - 4*u**2 - 5*u**2. Calculate f(l(k)).\nAnswer: -1000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.1. Let l = -147.3 + 147. What is the closest to o in -2, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 8:17 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 5, y: 7}. What is prob of picking 3 y?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4139?\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29784 + 24002 = -118*z for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -123, -171, -257, -393, -591, -863, -1221?\nAnswer: -1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 13. Let w = -8.7 - -9. Is i less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 3*q + 2. Let o be b(-3). Let k = o - -2. Suppose 121*w - 765*w = -2493 - 83. What is the remainder when k is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 4. What is g(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 5*i**2 + 5*i + 5. Let u be k(6). Let l be u*(-5 + (-3)\/(-1)). Suppose -l*g = -6*g + 380. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 5 = 4*k. Let g(d) = -d**2 + d. Let c(s) be the third derivative of -s**5\/20 - 5*s**4\/24 + s**3\/6 - 3*s**2. Let j(x) = -c(x) - 5*g(x). Give j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Suppose 0*a = w*a - 10. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - -193. Let m(b) = b + 6. Let h be m(-4). Suppose 3*a - 276 = 3*s, 3*a + h*s - 4*s - l = 0. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (616\/66)\/(2\/6). Let z = 34 - g. List the prime factors of 4\/(-6) - (-268)\/z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6324970 + 0.3\nAnswer: -6324969.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-15))\/((-6)\/(-40)). Suppose -5*j + h = -2. Let k(d) = -d**3 + 3*d**2 - 3*d + 3. Determine k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43a4502 - -2?\nAnswer: -43a4500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12020637 * 1.3\nAnswer: -15626828.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11328459.\nAnswer: 3, 3776153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/(-42))*(12 + -17). Suppose 2*v - 21 - 19 = -o, 3*v + d = 4*o. What is the greatest common factor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -2\/223, -280.\nAnswer: -280, -2\/223, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 139957650 and -3.7.\nAnswer: 139957646.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638790360 rounded to the nearest 1000000?\nAnswer: 1639000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 2249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/7 - 3764*d\/7 - 22440\/7.\nAnswer: -4*(d + 6)*(d + 935)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -201 + 45500250?\nAnswer: 45500047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1127, -1141, -1189, -1289, -1459, -1717, -2081?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*v - 1)*(-v + 3*v**2 + v) - 10*v**3 - 208 + 5*v + 208.\nAnswer: -v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 781.\nAnswer: -1\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*i - 12 = 0, 4*t + t = 5*i + 15. Let h(m) = -m**2 - 6*m - 9. Let x be h(-3). Suppose 165 = -x*b + t*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228424067.\nAnswer: 228424067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)\/n*n)\/(n*n**4)*n**7*((n*n**(2\/5))\/n)\/n*n assuming n is positive.\nAnswer: n**(166\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 160*b**2 + 5*b - 11. What is the thousands digit of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(216)*-2)\/sqrt(6))\/(-2*sqrt(432) + sqrt(432) - sqrt(432) - (sqrt(48) - sqrt(144)\/sqrt(3))) + 0.\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n + 26*n - 4 + 18*n.\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2083*a - 204 = 2079*a. Solve a*s = 53*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 11*n**6\/360 + n**4\/2 - 14*n**2. Let a(t) be the second derivative of w(t). Let m(s) = s**2. Determine a(m(r)).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 less than 118?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 3*a**4\/4 - 387*a**3 + 149769*a**2\/2 - 6440067*a - 570. Factor f(w).\nAnswer: 3*(w - 129)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 9 + 23 = 0. Factor 0*q - 6 + 9\/2*q**d + 3\/2*q**3.\nAnswer: 3*(q - 1)*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129 is divided by 564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgxxgxxxx. What is prob of picking 1 x and 1 g?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/37 - 71\/111. Let c = -0.01 - -0.11. What is the closest to 1 in -0.9, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8))**(-3\/26)\/((b\/(b\/b**(2\/55)*b))\/(b*b**(2\/45))) assuming b is positive.\nAnswer: b**(18862\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 1. Let q be 0 + -10 - 30*252\/(-770). Which is the second smallest value? (a) q (b) i (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 4. Let g be h(1). Let o(f) = -10*f**2 - 3*f**2 - 15*f**g. Let a(y) = y. Calculate o(a(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527236 less than or equal to 1527233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7624551.\nAnswer: 3, 11, 17, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i)**(8\/13)*i**3\/i**(3\/4)*(i**(-2)\/i**(-1\/2))\/(i**(-7)*i\/((i**(2\/3)*i*i)\/i)) assuming i is positive.\nAnswer: i**(491\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:52 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - 4*o - 3. Let t be c(-2). Let f be (-5)\/(-2*(-4)\/424). Is (14 + f)\/(-2 + t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 15. Let c be 3 - (-3)\/(-3)*-2. Suppose 5*j - c = 5. Sort j, r, -3.\nAnswer: -3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9509*z**2 + 30 + 47 - 13902*z**2 - 77 in the form m + k*z**2 + t*z and give k.\nAnswer: -23411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-22 - ((-29 + 21 - -11) + 0 + -1))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = n - 20, -4*n = -4*i - 4 + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -68. Let m = 30 - w. Suppose 2*p = -2*y - m*p + 216, 2*y - 225 = p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s - 78 = -3*p, -5*s - 130 = -5*p. Suppose -3*z + p = -73. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 10*v**2 - 8*v + 33. Let a be g(-11). Suppose 2*m - d - 1068 - 312 = a, -5*d - 3455 = -5*m. Does 42 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r, -2*r = -3*j + 2*r. Suppose 0 = 3*w - 141 - 117. Suppose j = -5*s + 6 - w. Is s < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q + 209*q - 1325 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - v - 4*v - 10, -4*v = -k + 8. Let i = k - -3. Suppose 14 = 5*u - i*s, -2*u - 4 = 3*s + 3. Solve -4 = -5*c + u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14\/5, -0.1, 1\/3.\nAnswer: -3, -14\/5, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -18*d**2 - 8*d + 17. Let k(h) = 6*h**2 + 3*h - 6. Determine -17*k(x) - 6*y(x).\nAnswer: 6*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*v = 1893*v + 1802*v + 3395 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/24 + n**5\/12 - 5*n**4\/4 - 241*n**2 + 5. Factor o(r).\nAnswer: 5*r*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -4 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 - 191 + 523 - 129 + 38*x**2.\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -20, -3, 32, 91, 180, 305, 472?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 842115336 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 3*d - 24 + 7, 3*m - 45 = 2*d for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012113310 (base 4) to base 12.\nAnswer: -545758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 6:18 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 4*i, -4*h + 29 = -2*i + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 58548958.\nAnswer: 644038538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.88 - 0.2. Let a = c - -0.08. Let l be (-12)\/90*(-3)\/2. Sort -2, a, l in increasing order.\nAnswer: -2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*y + 6, 2*h + 7*h - 18 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18925748 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 29. Give z(41).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 325849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8 = -b - 0*d, -2*d - 753 = -763 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/90 and 179\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 753331963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163314 by 86.\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 20751 and 103754\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 7*t**4\/8 - 35*t**3\/2 + 7*t**2 - 18*t. What are the prime factors of o(11)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648004729.\nAnswer: 7, 19, 1663, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + 1 + sqrt(1700) + sqrt(1700) - sqrt(1700)))**2.\nAnswer: 40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 109, 203, 385, 685, 1133, 1759?\n\"Answer: 5*t**3 - t**2 + 4*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*t + 2*g, 0 = 2*t - 2*g - 13 - 7. Let f = 3 + t. Let u = 16 - f. Solve 3*j + 10 = -l, u*j + l + l = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6338.6577 to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 + a**5\/60 - 5*a**4\/24 + 2*a**3\/3 + 8*a**2 + 1. What is i(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 - 478\/8)\/(3\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -244852, -0.2, 2\/13, -0.01?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, q: 4, c: 2, o: 1}. What is prob of sequence cqo?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -341607*m**3 - 200604.\nAnswer: -1024821*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25910 + -25905. Sort -2, p, 3, 43 in decreasing order.\nAnswer: 43, p, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d - 52 - 62 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*f - s + 24, 5*f = 4*s + 60. Suppose 3*i - f = 6. What is the second derivative of -2 - 3*w - w**2 + i - 4 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032705 - -518542.\nAnswer: 518542.032705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*p - 120*p + 1 = 0. What is the greatest common factor of 7 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14683628 and 1247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 3)*14\/(-8). Let n(y) be the third derivative of y**4\/24 + 2*y**3\/3 - 10*y**2. Does 5 divide n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1459012 divided by 364753\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 9*h**2 + 7*h - 9. Let q be l(-8). Let f be 0 + -1*(-2 + q). Solve 10 = f*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - -4) + (-2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 7:58 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1*(-3)\/(-3)*-11 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/4 and 51\/251470?\nAnswer: 502940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/15 + 8*v**3\/3 + 266*v**2\/15 - 3064*v\/15 + 184 = 0?\nAnswer: -10, 1, 6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 3, m: 1, j: 4, t: 2, l: 1}. What is prob of sequence ktk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -640 + 670. Let g be 124\/w + 11\/((-990)\/12). Let c(r) = 9*r**2 - 17*r + 8. Let z(n) = -5*n**2 + 9*n - 4. Let t(m) = -3*c(m) - 5*z(m). Give t(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*o + o + 76, 5*a - 71 = -3*o. Calculate the remainder when a is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 39 = 15*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 35*y**2 + 8*y + 51. What is n(-35)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*z + 50*z - 9*z**4 + (-2*z + z + 2*z)*(-2*z**3 + 0*z**3 + 3*z**3).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - j + j + (j + j + 0*j)*(0 + 1 - 2) - j + 3*j - j + (4 + 3 - 5)*(j - j - 2*j)*(19 - 2 - 4).\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 137*l**3 + 77*l**3 - 39 + 38 - 4*l**2 + 0*l**2.\nAnswer: 214*l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(152) - 1*sqrt(152)*-4 - sqrt(152))\/((sqrt(160)\/sqrt(4))\/sqrt(5)).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*i**5 - 147*i**4*w + 42*i**2*w + 4*i**2 - 9*i*w - 2 wrt i.\nAnswer: -3300*i**2 - 3528*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 6\/11, 282676, 4 in increasing order.\nAnswer: 0.02, 6\/11, 4, 282676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2213504 millilitres in litres?\nAnswer: 0.0002213504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1938 = 5*g, 4*g + 3*o = -g + 1932. What are the prime factors of g?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 537*c**2 + 56*c + 165. What are the prime factors of o(-3)?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from dtddddttdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 4*c - 62411*c**2 + 3*c.\nAnswer: -62411*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 55\/(-22)*(-16)\/10. Solve -2*u = a*v - 3*v + 2, -v = -5*u - 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1) + (5103\/639 - 24\/3). What is the third smallest value in w, -1, 2\/3, -2\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 24*v**2 - 38*v + 11. Let j be i(26). Let l = j + -372. Determine s so that 0 - 1\/2*s**l - 1\/6*s + 1\/6*s**4 + 1\/2*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) + sqrt(312) + 2*sqrt(312))\/sqrt(12))\/(-5*sqrt(32))*2 + 1*(sqrt(832) + (2*2*sqrt(832) - sqrt(832)) + sqrt(832))**2*-1.\nAnswer: -20800 - 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + d**5 + 2*d + (0*d + 3*d + 2*d)*(-d**4 + 0*d + 0*d) + 2*d**5 - d + d - d**5 - d + d.\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10938838237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 13 - -14 - 39 - -62\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m + 1. Let i = 666 - 664. Let o(h) = -i + h - 4*h**3 - 103455*h**2 + 103455*h**2. Determine -o(b) - q(b).\nAnswer: 3*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-10)*(-5)\/(-2). Calculate the highest common factor of 56 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 8*a - 6. Suppose -a*r + 12 - 10 = 0. Is -1\/6 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 6. Give o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233*h**3 + 53*h**2 + h + 11.\nAnswer: -1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-2)) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -141.2?\nAnswer: 847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.5, -5, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62032698, 62032701, 62032706, 62032713?\nAnswer: 62032722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79389.24 decades to years.\nAnswer: 793892.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 5, e: 8}. Give prob of sequence ef.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*x - 655867 + 2640579 = -2230699. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29518 - 236601\/8. Let t = b - -57. What is the second smallest value in t, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w - 3*w + 3*w)*(-2*w**3 + w**3 + 2*w**3) - 5*w**4 + 7*w**4 + 3*w**4.\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.549828 millimeters in kilometers?\nAnswer: 0.000002549828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, -2\/13, -4127, 2 in decreasing order.\nAnswer: 2, 1, 0.1, -2\/13, -4127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**7\/840 - z**6\/240 - z**4\/8 + 3*z**2. Let u(s) be the second derivative of t(s). Solve u(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83623\/4919*(-154)\/(-34).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 2*a)*(-1 + 1 - 77*a**2 + 270*a**2).\nAnswer: -386*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**2. Let j = 5 + 1. Let h be 32\/(-48) - 22\/(-6)*1. Let x(y) = -y - h*y + j*y. What is b(x(g))?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (50 - -1) + (-1 - 12\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 645*v + 1294.\nAnswer: -(v - 2)*(v + 647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 11 - 206. Let w = k + -28. What is the remainder when 41 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4959 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/472 and 89\/3223288.\nAnswer: 3223288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 + -34)) + (-4647 - -4642).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -953*h**5\/5 + 991*h**3\/3 + 310. What is the third derivative of a(y) wrt y?\nAnswer: -22872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwyycwlywj. Give prob of sequence yw.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -4126 - 4898. Suppose -4*g + l + 856 = 0. What are the prime factors of g?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -255876 (base 15) to base 12\nAnswer: -724319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/20 and 31\/416.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 238 divided by 4\nAnswer: 119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/(-8)*(-46)\/46.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 259159, 264009, 268859, 273709, 278559, 283409?\n\"Answer: 4850*g + 254309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 13 + 14*o**2 + 0*o**3 - 14*o - 2*o. Let s be i(-15). Solve -4*h - f = 14, -s*f = 4*h + 2 + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2401) + sqrt(2401) + 1*sqrt(2401) + 1*sqrt(441))\/(sqrt(343) + sqrt(343) + (sqrt(343) - sqrt(343)*1*-5 - sqrt(343))).\nAnswer: 24*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x - 7. Let s be f(-8). Let q = 49 - s. Sort -5, 1, 6, q in decreasing order.\nAnswer: 6, 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, -3, 23 in decreasing order.\nAnswer: 23, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10144 = n - 10150 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 equal to -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 992659.7 years?\nAnswer: 992.6597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m - 2. Let k be ((-5)\/(-3) - 2)*-18. What is the units digit of x(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7854+-0.5\nAnswer: 3.2854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30158.\nAnswer: 2, 17, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, z: 1}. Give prob of picking 3 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43618 - 24*t**3 - 43618.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9454720 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3764 + 0.070924.\nAnswer: 3764.070924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c39 (base 16) to base 11.\nAnswer: -5479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1708278 divided by 33\nAnswer: -51766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 99\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.04 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 plus 0?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150364, -150365, -150366?\nAnswer: -150367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3 - 53. Let x = j - 12. Factor 1\/2*b + 1\/2*b**3 + 0 - b**x.\nAnswer: b*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3356 divide 289821271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b + 9. Suppose -b*o = -2*o - 16. What is the second derivative of -o*f**2 + 4*f + f**2 + 7*f**2 - 2*f**2 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -635.5 + 635. Which is the nearest to -3? (a) 1 (b) 0.8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100.1 - -100. Which is bigger: f or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n + 2. Suppose n*b + 8 = 56. Calculate the lowest common multiple of (2\/11)\/(11\/121) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4387, 2, -3, 1, -1, 135, 3 in decreasing order.\nAnswer: 4387, 135, 3, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let x(y) = -y**2 + 38*y + 543. Let q be x(49). Let h be d\/q*(7 + -7). Solve -t - 4*o - 8 = 4, h = -t + 5*o + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -22. Suppose -2*u - u - 26 = j*w, -5*w - 24 = 2*u. Let d be (5\/(-5))\/(u\/14). Which is bigger: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 3*y + 2*y - 3 - 2*y + 3 + (-4*y + y + 4*y)*(-2 + 3 - 2) + 9*y - 4 + 8 - 6.\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380027 divided by -21.\nAnswer: 380027\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3270000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/(3\/6). Let d be (c + 3)\/(-2 - 0). Suppose n - 13 = -d*n + 5*a, 2*n = 5*a + 11. Sort n, 0, 1 in descending order.\nAnswer: 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 614601185 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 14212464?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 7. Let z be r(2). Suppose 3*b - 3 = -2*d + 5*d, z*b - 21 = -3*d. Let 15\/2*n**3 + 3*n**d - 15\/2*n - 3 = 0. What is n?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-6\/11)*b*(b*b**(-1\/6))\/b)\/(b**(-12)\/(b\/(b**(-3\/8)\/b)*b*b)))**10 assuming b is positive.\nAnswer: b**(23315\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 392*k + 1975. What is i(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.4, -0.002, -10\/137?\nAnswer: -10\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 32, 16, 2, -1 in decreasing order.\nAnswer: 32, 16, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 337.73 + -308.2. What is a rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/(-4))\/(18\/(-96))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 4\/33, 0.59, 5, -3\/2, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k**4 + 343706*k**3 - 17386808*k wrt k.\nAnswer: -192*k**2 + 2062236*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = 5*m - 2*m, y - 13 = -5*m. Suppose -y*q + 0*q + 5 = -4*s, 0 = 3*q - 9. Which is greater: s or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 681 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (6 + -7)) + -8. Let y(t) = 3*t + 49. Give y(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + (61 - -83) + -44.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 993955061 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 5:05 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Suppose -t - 71 = -4*t + p, 0 = f*t - 4*p - 109. Suppose 0 = 4*y + 4*d - 35 - 25, 3*d = -2*y + t. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 12364.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (16\/5)\/((-19)\/(-285))*((-1035)\/(-46) + -22)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 10) to base 16.\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.8764358 seconds to days.\nAnswer: 0.0002647735625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -384253 + 104?\nAnswer: -384148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-66) + 5383\/30. Let i = -179 + f. Factor -1\/5 + 1\/5*d**3 + 3\/5*d - i*d**2.\nAnswer: (d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-42)*(36\/14)\/(75\/350)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9718, -9693, -9650, -9589, -9510?\nAnswer: -9413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 9*a + 10. Let q = -19 + 12. Let g be f(q). Suppose g = 3*k - 3*t, -3*k + 4*t = -0*k - 27. What is the closest to -2 in -2\/5, 0, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:58 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 5*j - 11. Let i(f) = -5*f**2 + 16*f + 32. Let a(d) = 17*g(d) + 6*i(d). Let m(p) = -2*p**2 - 6*p - 3. Give 3*a(n) + 5*m(n).\nAnswer: 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 9*m + 7. Let g be f(-7). Let r be ((0 - -1)*3)\/(g\/14). Is 16\/7 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10080 and 3974880?\nAnswer: 11924640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 108?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n - 2*n - 2*n)*((77 + 60 - 120)*(-2 + 1 + 0) + 0 + 0 + 2) - 3 - 2*n + 3 + (-n - n + 0*n)*(0 + 1 + 0) - n + 2 - 2.\nAnswer: 265*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1616 + -1141. Calculate the remainder when (-4)\/(-14) - 572\/(-7) is divided by (-14)\/77 - (1 - x\/11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 8*q + 4. Suppose q*m + 8 = 32. Suppose -16 = -o - m. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, f: 1}. What is prob of picking 2 i?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 - 6*u - 25. Let n be h(4). Solve 4*d + i = n, d - 1 = -4*i + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 15*y - 74. Let i(l) = -2*l**2 + 69*l + 89. Let k be i(36). Let w be j(k). What is the greatest common factor of w and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/187*(238\/(-308) + 21\/28).\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*d + 40 = 40*d + 45*d, -12 = l - 2*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, 3, 42, 103, 192, 315, 478?\n\"Answer: v**3 + 2*v**2 + 10*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = k + 4*u - 1737, -2*k + 2*u + 3470 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/8)*k*k**(1\/9))\/((k**19*k)\/(k\/k**20)) assuming k is positive.\nAnswer: k**(-2629\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -4 + 5 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(875)*2)\/(6*(sqrt(448) + -2*sqrt(448))\/sqrt(4)).\nAnswer: -25*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319433 is divided by 2279.\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-11 - -11) + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79974 * -356.\nAnswer: 28470744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 5702?\nAnswer: -5703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654630 to the power of 1\/2, to the nearest integer?\nAnswer: 2767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54125763*d**2 + 3*d + 746089314?\nAnswer: 108251526*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 2425675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 11 + -13 - 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 889616.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 n when three letters picked without replacement from {n: 4, o: 3, t: 1, f: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -1, 1, 5\/3 in ascending order.\nAnswer: -1, -0.8, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4347157, 8694321, 13041485, 17388649, 21735813, 26082977?\nAnswer: 30430141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0173809 rounded to four dps?\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8752.2 - 8752. Put r, -662, -4\/7 in decreasing order.\nAnswer: r, -4\/7, -662","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17886042 divided by -1.\nAnswer: -17886042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose -n + 0*n = -2. Let h = 0 + n. Solve h*r = -i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 36, -3, 2898 in increasing order.\nAnswer: -3, 0, 36, 2898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.01 (b) 3\/8 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 10*b**2 + 3*b**2 - 137*b**3 + 145*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909139?\nAnswer: 3, 969713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*o**3 + 129*o**2 - 1896*o + 4368.\nAnswer: 3*(o - 4)**2*(6*o + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38455, 38453, 38449, 38443, 38435, 38425?\n\"Answer: -q**2 + q + 38455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16.5519 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Let l(p) = 290*p**2 - 50. Let r(g) = 17*g**2 - 3. Let x(o) = -3*l(o) + 50*r(o). What is x(y(k))?\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -fdc70?\nAnswer: fdc72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1186811.83000096 - -1186812. Let z = w + -0.17. What is z rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-250)*816\/714?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1595 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29888126 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -51*m**3 - 15*m**2 + 15*m. Let c(u) = -13*u**3 - 4*u**2 + 4*u. Give 15*c(a) - 4*g(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/20 - u**4\/2 + u**3\/2 - 2*u**2 + 2*u. Does 7 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 646 = 2*f + 3*f, 3*t - 4*f - 992 = 0. Let q = 813 - t. Suppose -2*w + q + 129 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4626 (base 8) in base 9?\nAnswer: 3326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 13)*(1 - 2 - 9*k - 1)*(0*k**3 + 2*k**3 + 9*k**3).\nAnswer: -891*k**4 - 198*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 12. Let l be n(-14). Let i be l\/(68\/36 + -2). Let f = -17 - i. Put f, 2, 5 in increasing order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.342 and -134939457275.\nAnswer: -134939457275.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*k**2*s + 2*j*k*s + 1060*j*k + j*s - 19*j - 25462506*k**2*s - 9*s - 2 wrt k.\nAnswer: -2*j*s - 50925012*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11 + 8 - 21 + 2 + 56*g. Let r(y) = 7*y**2. Calculate r(j(a)).\nAnswer: 21952*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*q = 31, -8*m + 4*m + 53 = q. Suppose 0 = -9*f + m*f - 24. Suppose 5*j + f - 21 = 0. Solve 0 = 2*k - j*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -47\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s**(2\/9))\/((s\/((s*s*s\/(s**6\/s)*s*s*s)\/s))\/s**(1\/11)) assuming s is positive.\nAnswer: s**(-266\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + 1326\/9. Suppose 0*c = 3*c - n. Let m = 9 + -2. Calculate the highest common divisor of m and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 291, 10, -4, 3, 13 in ascending order.\nAnswer: -4, 3, 10, 13, 128, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 43 - 39. Let m(v) be the first derivative of -k + 0*v**2 + 0*v**4 + 0*v - 2\/15*v**3 + 2\/25*v**5. Solve m(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3 - 3264*w**2 + 678720*w - 5222912 = 0.\nAnswer: 8, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 787*r**2 + 835*r**2 + 8*r - 9 - 262*r**2 - 298*r**2. What is the tens digit of y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.043 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-5) - (-6)\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24193 is divided by 3024.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -3.6?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -19a?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29648\/15 - -9886\/5. Which is the third smallest value? (a) g (b) -114 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-22 + 27 + (2 - -2) - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2524 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*q - 712 - 8929, -5*q - 9623 = -i. What are the prime factors of i?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-252)\/70)\/(2\/(-25)). Suppose -g = 70*v - 71*v. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 282 or 279?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-4)\/(14\/(-2016)*-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 16*i + 32. Let l be r(9). Suppose 0 = -l*g + 211*g + 25. Suppose 0 = 2*z - g - 3. Solve 12 = 4*d - 5*j + 38, d = 5*j - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/11 and 71\/108266.\nAnswer: 1190926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11472*l**3 + 22937*l**3 - 11470*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*r + 427*r**2 - 201*r**2 - 215*r**2 in the form n*r**2 + h + a*r and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200804041.\nAnswer: 173, 1160717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 40*s**2 - 97*s - 470. Calculate l(-37).\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 6. Let o be (-2 - (1 + -6))*-1. Calculate the least common multiple of n(o) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084*z - 1077*z - 6705419 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4900*f**4 - 6169.\nAnswer: 19600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0 - 1\/30*s**5 + 0*s**4 + 0*s + 0*s**3 - 44*s**2. Let i(f) = -16*f**2. Determine t(i(k)).\nAnswer: -512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1681938, 6727741, 15137412, 26910951, 42048358, 60549633?\n\"Answer: 1681934*k**2 + k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -1)*(-24)\/9. Is (4 + -8)\/(o\/12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 624000 = 7*m. Round m to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10932719?\nAnswer: 7, 1561817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -297 + 299. Solve 3*f - w = 2, 4*f - 12 = w - u*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-2)\/(-4)*-2. Let t(m) = v + m - 3 + 2. Let f be t(-8). Is f equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 + 100*n**3 + 455*n wrt n.\nAnswer: -20*n**3 + 600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79453\/1228 + 15\/307. Are 64 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577 + 657 = -8*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30, -2, -3, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 3 (c) 4 (d) 0.001231 (e) -2 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253087686.\nAnswer: 2, 83, 317, 23813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 151974, 152107, 152242, 152379, 152518?\n\"Answer: y**2 + 130*y + 151843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.58 + 0.02. Let a = -2.7 - -4.7. Let w = a - f. Sort w, -1\/4, -0.2.\nAnswer: -1\/4, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 2, e: 4, v: 2}. Give prob of picking 1 v and 1 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12902 - 5821. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 58*i - 29. Let t(v) = 59*v - 29. Let m = 67 + -65. Let o(s) = m*t(s) - 3*w(s). What is the first derivative of o(a) wrt a?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1078\/21 - 4\/(-6). Suppose 0 = -5*g + 4*t + 82 + 258, 4*t + v = g. What is the remainder when g is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 137*q**5\/60 - 133*q**4\/8 + 6*q**2 + q. Find the second derivative of w(o) wrt o.\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 3*y + 4. Let o be n(3). Let p = 10 + o. Suppose 0 = -w - 2*w + 27. Calculate the remainder when w is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1054 + 4?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/((-180)\/(-117))*(-7)\/((-35)\/20030).\nAnswer: 13, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 10725, 3 in ascending order.\nAnswer: 3, 265, 10725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-36)\/(-50)) - 4. Let k(n) be the first derivative of 1 + 0*n + 0*n**2 + a*n**4 - 2\/9*n**3. Factor k(t).\nAnswer: 2*t**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(6\/36). Suppose 0*r = t*p + 3*r - 21, 3*p = -r + 13. Solve -p*l + 0*l + 5*c - 7 = 0, -3*c + 13 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129764538?\nAnswer: 2, 11, 96807479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let t(l) = 29*l**2 - 7343. Calculate j(t(k)).\nAnswer: 29*k**2 - 7343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1981178 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 596412 and 90.\nAnswer: 2982060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*-6*((sqrt(343) - (sqrt(343) - (sqrt(343) + (sqrt(343) - (sqrt(343) + 0))))**2) + 5).\nAnswer: 152 + 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92240030 or -92240027?\nAnswer: -92240027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 9:32 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*m + 1274, 3*m + r - 496 - 270 = 0. What is the remainder when m is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:25 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:48 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-10 + (-8 - 13)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2477*b**3 - 2*b**2 + 20. Let z(n) = -2477*n**3 + 2*n**2 - 16. Determine -4*f(l) - 5*z(l).\nAnswer: 2477*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 + 1)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 37510723.4.\nAnswer: 3751072.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n. Let h(s) = -6*s**2 - 4*s - 8. Let f(j) = j**2 - j. Let m(l) = 4*f(l) - h(l). Let k(a) = -a**2 - 1. Let q(w) = 8*k(w) + m(w). What is r(q(y))?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18))\/(2 - 74\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1532500 rounded to the nearest ten thousand?\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 75, -101, -5.\nAnswer: -101, -7, -6, -5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17308987 and 2.\nAnswer: 17308989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4 + 3594*l**3 - 273504*l**2 + 1036320*l = 0. Calculate l.\nAnswer: -1270, 0, 4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415 + 1352 + -1 + 6?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - 9*t + 4. Let g be u(6). Let b be 62\/6 + g\/(-21). Let o = b - 1. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, 76, 451, 976, 1651, 2476?\n\"Answer: 75*i**2 - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23066 by 572.\nAnswer: 11533\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439.9602485 + -71.6.\nAnswer: 368.3602485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1980 = -83*r + 79*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 657 - -187. Suppose -z = 2307 + p. Let t = z - -12537\/4. What is the common denominator of -71\/10 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425821.1 milligrams to kilograms.\nAnswer: 0.4258211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*z = 0, 2*o + 5*z - 8 = 6. Suppose l = -o*g + 45, 0*g = -3*g - l + 69. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 - 8*w**3 + 6875*w**2 - 6875*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2931137446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1938 - -1943. Put 3\/4, 0, -76, m in descending order.\nAnswer: m, 3\/4, 0, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*o - 178*o + 220*o + 1037 + 141*o - 1037.\nAnswer: 566*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/13)*n)\/(n\/(n**(-8\/7)*n*n))*((n\/n**5)\/n)\/n**(-1\/3) assuming n is positive.\nAnswer: n**(-1061\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -600473851*x**2 - 16879809.\nAnswer: -1200947702*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 764, 2542, 5520, 9698, 15076, 21654, 29432?\n\"Answer: 600*i**2 - 22*i + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -143, 0.0412, -2\/51, -4?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1)\/((sqrt(44)*1)\/sqrt(11)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + j**3 + 3 + (-29*j**3 - 244*j**2 + 244*j**2)*(6 + 0 - 4) as r*j**2 + o*j**3 + q*j + k and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -99994969 and 0?\nAnswer: 99994969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 7*b - 3. Suppose 2*u + 23 = 5*p, -8*p + 4*p + 28 = -4*u. Let t(w) = -w**3 - w**2 - 7*w + 4. Let j(q) = p*r(q) + 2*t(q). Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70121 - -246202. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*z + 409, -z - 3*z = s - 77. What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(154\/35)\/(8\/30). Suppose 3*n + 8*n - s = 0. Let b(a) = 2*a. What is b(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/28 + (-225)\/(-7). Let a = o - 23. Suppose a*x - 4*x = 3000000. Round x to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 556, 550, 546, 550, 568?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2460883.843 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 15, 8, 0, -2, 5, -499 in ascending order.\nAnswer: -499, -2, 0, 5, 8, 15, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 + 4*g**4 + 27*g + 5*g**2 + 8*g**2 - g**4 - 15*g**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 314575, 314592, 314643, 314746, 314919, 315180?\n\"Answer: 3*k**3 - k**2 - k + 314574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 + 0)) + -2 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 7716?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/270 and 91\/6?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 24*d - 394. Let w(p) = -5*p + 78. Calculate -3*u(a) - 14*w(a).\nAnswer: -2*a + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -5 + 1739\/(-1737). Let m be (1\/(-3474))\/((-5)\/368204*-2). Let w = z + m. Calculate the common denominator of 127\/6 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 - 471*p**2 + 930*p - 452. Let o(q) = 7*q**3 - 473*q**2 + 929*q - 447. Let a(h) = 4*i(h) - 3*o(h). Factor a(m).\nAnswer: -(m - 1)**2*(m + 467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jehnevnw. What is prob of picking 1 h, 1 v, and 2 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24992.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29270926 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -2681784358.\nAnswer: -2681784358.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 491 = 1771. Suppose x - l = -4*x. Suppose 4*c - 27 = 5. What is the highest common divisor of c and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**2 - 9*s**2 + 2*s**2)*(20*s**2 + 3 - 3) + 0*s + 0*s - 15*s**4 in the form m*s**4 + n + x*s**2 + v*s + z*s**3 and give m.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f - 11. Let t = -5 + 10. List the prime factors of r(t).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -51*y + 2794. Let m(t) = 82*t - 4191. Calculate 8*i(g) + 5*m(g).\nAnswer: 2*g + 1397","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -339, -731, -1113, -1479, -1823?\n\"Answer: w**3 - w**2 - 396*w + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfqe. What is prob of sequence qzf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, -5.\nAnswer: -23, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 45. Suppose 2*r - 7 = -2*b + 7, -2*b = -3*r + 1. Suppose -3*q + b*k + 10 = 0, -k - 2*k + v = 0. What is the lowest common multiple of q and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88357.53 kilograms?\nAnswer: 88357530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5832 + 7943. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (22 + -15) - -25?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 16. Let g = 25 - s. Suppose g = t - 3. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 86992*t + 3783804032.\nAnswer: (t - 86992)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 4, 44, 0.6, 131, -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -192. Let u = g - -158. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.3, 6, 21841\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1103772*o - 3900413?\nAnswer: 1103772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.195 - 0.105. Let r = 0 - -0.02. Suppose 12 = 2*f - 0*f - 3*q, 4*f = 3*q + 18. Sort f, j, r.\nAnswer: j, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 500 = -j - 140, -4*m + 5*j = -533. Suppose 4*r = 4*h - 500, 3*h + 7*r - 2*r - 399 = 0. Are h and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2339\nAnswer: 7017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -4.8. Let j(t) = 27*t - 273. Let n be j(10). What is the third smallest value in -2\/15, n, 2\/9, q?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -4 + (0 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)\/p**(-4))\/(p**1\/(((p\/p**6)\/p)\/p))*(p*p**0)**(-2\/13)\/(p**(-2)\/(p*p*p\/(p\/(p**(-3)\/p)))) assuming p is positive.\nAnswer: p**(-41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48 - 2746?\nAnswer: -2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 708? (a) 0 (b) -5 (c) 0.12 (d) 1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 422, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-6) - 19\/(-6). Let f(j) = -2*j + 17. Let v be f(7). Solve -m*y + c = 4*c - v, -3*y + 4 = 4*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*y - 6. Let j be (1*(-2)\/(-4))\/((-2)\/4). Sort -2, 4, y, j in descending order.\nAnswer: 4, j, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2552565*l. Let y(h) = -9*h**2. Determine y(b(i)).\nAnswer: -58640292713025*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -3*z**5\/5 + 39*z**4\/2 - 93*z**3 + 168*z**2 - 132*z + 276. Factor a(m).\nAnswer: -3*(m - 22)*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73217661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110000001 + -11?\nAnswer: -10111110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6774375*k**2 - 2692399?\nAnswer: -13548750*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1450, -1481, -1524, -1573, -1622, -1665?\n\"Answer: z**3 - 12*z**2 - 2*z - 1437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -39*n**2 + 30 + 83\/6*n**6 + 0*n**4 + 0*n**3 + 0*n**5 + 0*n. Find the second derivative of y(z) wrt z.\nAnswer: 1660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4533354?\nAnswer: 2, 3, 7, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a. Suppose -60 = -3*w - j, 3*w + 3*j - 8 - 52 = a. Let r = w - -4. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 + 0.9. Let y be (50\/(-3))\/(104\/(-39)) + -6. What is the nearest to t in -7, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 6.5 (c) 0 (d) -3\/2 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.705, -0.097, 0, -4?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2885, -4, -6, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 0*y + 3 - 7*y - 3 + (7 - 2 - 4)*(y + 0*y + 0*y) + y - 3*y + 0*y)*(44 + 310 + 48 - 28).\nAnswer: -3740*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 2. Let d(h) = h**3 - 8*h**2. Let r be d(8). Let m be x(r). What is the second derivative of 4*b**4 - b**4 + m*b + b - 2*b**4 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 73?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(55)\/(sqrt(25)\/sqrt(5)) + 0 + sqrt(396) + -1.\nAnswer: -5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2. Let a(v) be the third derivative of -v**4\/12 + v**2. Calculate x(a(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**4 + h**4 - 16*h**5 - 9*h**5 + 3*h**5 + (-h**5 - 2 + 2)*(-1 + 3 - 1) + 0*h**5 + h**5 - 8*h**5.\nAnswer: -29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -5\/4*y**2 + 7\/80*y**5 + 1\/120*y**6 - 80*y + 29\/24*y**3 + 0 - 9\/16*y**4. Factor c(z).\nAnswer: (z - 1)**3*(z + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445213 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d**3 + 9*d - 13. Let l = -6 + 9. Suppose -5*p = -23 + l. Let z(u) = 5*u**3 - 4*u + 6. Determine p*n(i) + 9*z(i).\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 92390680*m - 2134009437715600.\nAnswer: -(m + 46195340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20810 - 12841. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.079, 105, 66?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*c - 7 - 1 = 0, -6 = 3*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let o = 1.67 - -0.03. Let s = o + -1.4. Which is the second smallest value? (a) 1 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34\/5, 6, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 522*n + 6. Let c be o(1). Calculate the highest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:24 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -11\/6*v**3 + 1\/12*v**4 + 11\/2*v**2 + 4*v + 0. What is the units digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -23*j + 247. Determine w(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 1 + 4 + -1. Suppose j - 5*j = -5*a + 18, 0 = a - l*j. Let f = a + -1. Solve 5*x + 13 = -0*x - 3*n, 0 = -3*x + n - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7 - 5. Suppose -4*m + j = -9, m + 7 = 4*m - j. Let t(o) = 6*o + 1. Let y be t(1). Solve 0 = -y*s + 3*s + i*x - 9, -m*x = s - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 628*o + 1. Let v(l) = l**2 + 312*l - 1. Calculate -3*m(p) - 5*v(p).\nAnswer: p**2 + 324*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 p, and 1 c when three letters picked without replacement from ppccccccopcctcto?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218812981.\nAnswer: 919, 238099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1203\/9 - (-4)\/(-6). What is q rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a - 2*z + 34, 0 = 4*a - 5*z - 14. Let d be (4\/a)\/((-2)\/54). Let g be (-43 - -10) + 5 + 9. Which is bigger: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 - 7\/3*l**3 + 2*l + 1\/12*l**4 + 25\/2*l**2. Let p be f(13). What is the highest common factor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -x, -26 = -5*k - 2*x + 9. Suppose -k*w - 3*b - 11376 = -8*w, -b = -4*w + 15171. Is w 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 {a: 1, l: 6, c: 5, k: 5}. Give prob of sequence cl.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.98 or 14\/17?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 24. Suppose 2*d + 121 = t, -t - 4*d + 413 = x*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpnyq. Give prob of picking 1 y and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r - 2. Let k(c) = -c**3 + 5*c**2 - 2*c + 1. Let i(l) = -k(l) - o(l). Let j be 1 + 2 + (-4)\/(-2). Determine i(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 3, v: 3, f: 6, t: 1}. What is prob of picking 1 m and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 f when four letters picked without replacement from qrqqfrrf.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-2*q + 5*q - 5*q)*(9*q - 7 + 7).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21707, -42605, -62701, -81995?\nAnswer: -100487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 6*j - 4. Let l be x(-2). Let r = -156326\/107 + 1461. Is l at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-40))\/((37*531\/69856)\/(6\/4)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -497775.9 to the nearest 100.\nAnswer: -497800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33592 = -103*p + 29753. Calculate the smallest common multiple of p and 55.\nAnswer: 6765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 + -144. What is the units digit of (-499)\/(-5 - 27\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**4 - o**3 + 5*o**2 + 5*o + 2. Let v(u) = -5*u - 2*u**2 + 6*u**4 - 3 - u - 4*u**2. Let t(b) = 3*n(b) + 2*v(b). What is a in t(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/20 - 5*k**4\/6 - 8*k**2. Is j(8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/6 + o**3\/3 + 3*o**2 - 2*o. Let c(v) = 0*v - 9*v - 9*v**2 - 41 + 0*v**2 + 11. Let z(h) = 5*c(h) + 24*t(h). Factor z(g).\nAnswer: 3*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 63?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -0.14. Let u = -4.3615 - 0.6385. Which is the nearest to l? (a) -2\/5 (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6502284 divided by -722476\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvvd when four letters picked without replacement from {d: 1, q: 1, j: 1, v: 2, e: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001201026 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-42)*(-21 + 6). Does y = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -437009*i**3 + 403697*i**2.\nAnswer: -2622054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2385075, -2385061, -2385047, -2385033?\nAnswer: -2385019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 17*g + 14. Let z be t(6). Which is smaller: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-1 - 2 + 1)*(-o - o + 4*o) + (2*o + o + o)*(-3 + 0 + 1).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -149. Let k = v - 85.99999953. What is k rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1111682560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84371, 84372, 84373, 84374, 84375?\nAnswer: 84376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 88d - 6d3?\nAnswer: 19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y + 11*y + 10*y + (3 - 3 + 2)*(-4*y + 3*y + 0*y) - 5*y + 0*y + 4*y + 1 - 15*y - 1 in the form k*y + i and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -213.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47736*j**2 + 47737*j**2 - 1493*j + 1493*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**2 + 74*k + 6. Determine z(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, -7, -95, -261, -523, -899, -1407, -2065?\n\"Answer: -3*t**3 - 12*t**2 + 29*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 17*w**2 + 16*w - 177. Let q be b(-15). Sort q, 2, 16, 4 in descending order.\nAnswer: q, 16, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 973 - 1283. Is -309 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 15. Let y(w) = 23*w**2 - 8*w**d - 1 + 0*w**2. Let j be y(-2). What is j rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320177381 rounded to the nearest one million?\nAnswer: -320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1) + (-1 - -3). Let l(r) = r**3 + 3*r**2 + 2*r. Let v be l(-2). Let a(m) = -m**2 - 2*m. Let c be a(v). Solve -i + q + 2 = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 7. Let q be r(-10). Suppose -5*k = -q - 17. Suppose 0 = -4*n - k*s + 824, 15 = s + 4*s. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17044, 34050, 51056?\n\"Answer: 17006*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 69242?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + 4584\/15. Let u = z - 127. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1769 and 7747.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/42 - -223\/42. Which is bigger: 5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 7 = -n, 0 = -7*n + 9*n + k + 14. Let v be (-2)\/n + 51\/(-7) + 3. Which is the nearest to -0.17? (a) 5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26519 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f + 18*f - 70750 = 47*f. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650971354 rounded to the nearest ten thousand?\nAnswer: 650970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234345464?\nAnswer: 2, 29293183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 139 - 48 + 2202*k - 2207*k + 0*k - 2*k + 3*k + (k + 5 - 5)*(-2 - 4 + 5) + 0*k + 0*k + 2*k in the form n + c*k and give n.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592998122 to the nearest integer?\nAnswer: 24352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:10 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**10\/h)\/(h*h\/h**(5\/3))*h**(-1\/7)*h*h\/(h**1*h) assuming h is positive.\nAnswer: h**(200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 64*g**2 + 0*g**2 - 14*g**2. Let b(r) = r. Give w(b(l)).\nAnswer: -79*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1690 - -1901. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 14. What is m(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 7*q**2 + 5*q. Let u be a(-6). Suppose -4*s = -2*s - u. What is the highest common divisor of s and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 72. Let a = p + 12. Let u = a + 43. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57993 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 17452161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/12 - 801*h**2. Let w(c) = 7*c - 7*c + 7*c**2. Calculate w(v(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 minutes after 4:45 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/5*(7 + -2). Let z(g) = g**3 + 6*g**2 - 3. Let f be z(t). Let d be (4 - (-30)\/(-3))\/2. Is f != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -13 + (3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -319 - -4149\/13. Let k be 15\/12*(-4)\/(-1). What is the smallest value in -2\/7, b, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321 + -524. Let u = 278 + -387. Let r = u - f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292521 + 292520.399996. Let t = n - -0.6. Round t to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + (-47)\/(-4). Suppose -x - 5*n - 20 = 0, -2*n = 3*x - 5*n + 24. Let p = f + x. Solve 0 = p*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 1081708*b.\nAnswer: b*(b + 1081708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 12*l**2 - 2)*(-2*l**3 - l**2 + l**2).\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + r + 1. Give h(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160628 and 12620.\nAnswer: 506781340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616689 to the power of 1\/2, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 416 = 5*b. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 times 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*g + 8, -n + g + g = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1166, -1172, -1178, -1184, -1190, -1196?\n\"Answer: -6*p - 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 1. Let k(y) = y + 5. What is -k(b) - 2*s(b)?\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/120 - r**5\/30 + r**4\/8 + 885*r**2. Factor x(n).\nAnswer: -n*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48 + -2.48. Which is the closest to g? (a) 4 (b) 2\/19 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 77*s - 718. Calculate j(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0 + 0*p**4 + 1\/6*p**3 + 0*p - 4*p**2 - 1\/60*p**5. Factor a(d).\nAnswer: -(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 10. What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96635 and 770.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1294, 4866, 10854, 19264, 30102?\nAnswer: 43374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75763 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.3. Let d = 1.97 + 0.98. Let z = d + 0.05. What is the nearest to 0 in 4, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.9 (b) -1\/2 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**7\/840 + t**5\/10 + 2*t**4\/3 - 13*t**3\/3 + 32. Let s(p) be the third derivative of n(p). What is o in s(o) = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 30. Let m = z + -24. Let t be 0 - 3\/m*-1. Which is the third biggest value? (a) t (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*v + 3*f, f - 7 = -2*v + 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12308.99974122 - 12309. What is k rounded to 6 dps?\nAnswer: -0.000259","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + g. Let c(d) = -d**2. Let y(i) = 8*c(i) + 3*q(i). Give y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -0.8. Let t = -101 + 103. Sort 1\/3, t, q.\nAnswer: q, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + 14?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-24 - ((22 - 11) + -8))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2)*(-35 + 37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-70))\/((-6)\/20)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91861643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1422.325 micrograms?\nAnswer: 1.422325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*m - 22 = -o, 2*o - 5*m = -19. Let k(t) = t**2 - t - 3. Let v be k(o). Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from {z: 2, v: 5, s: 4, a: 2, b: 4, m: 2}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + 4*y)*(-y**2 + 3*y**2 + 0*y**2) + (-2 + 0 + 1)*(-3*y**3 - 4*y + 4*y + (y**2 - 2*y**2 + 3*y**2)*(y - y + 17*y)).\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64605164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 25*i - 3. Calculate t(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.3 + -1.623. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -255, -259, -265, -273, -283, -295?\n\"Answer: -u**2 - u - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9888241, -19776524, -29664807, -39553090?\n\"Answer: -9888283*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z. Suppose -3*k - b = 7, -4*k - 22 = -5*b - 0*b. Let h(a) = 3. Let x(i) = i + 1. Let m(t) = k*x(t) + h(t). What is d(m(r))?\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}