diff --git "a/data/dm_maths/full_data/11244_11255.jsonl" "b/data/dm_maths/full_data/11244_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11244_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -108888 divided by 1396?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 135*d\/4 - 133\/2.\nAnswer: -(d - 133)*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(sqrt(2299) - (sqrt(2299) + (sqrt(2299)*-2 + sqrt(2299) - sqrt(2299))*-2 - sqrt(2299)) - sqrt(2299)))**2 + -2.\nAnswer: 36777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-21)*(-1)\/2*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2156427 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 374521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -42*d**3 - 6254 - 4*d**2 + 5*d**2 + 6253 + 179*d**3. Let r be s(1). Let b = -129 + r. Which is smaller: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 11*o**6\/60 - o**5\/60 - 99*o**4\/8 + 170*o**3\/3 - 160. Let j(y) be the third derivative of d(y). Differentiate j(x) wrt x.\nAnswer: 132*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4381516 + 5718484. Round d to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7652.\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = l - 24. Let p be (-2)\/10 - 33496\/l. Calculate the common denominator of -47\/3 and (4\/10)\/(40\/p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682650?\nAnswer: 2, 3, 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1950317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1886001\/4 or -471501?\nAnswer: -471501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-3308)\/(-140) + 3\/3. Let n = s - -16098\/665. Let j = 89\/76 + n. Is 3 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -77. Let i be q\/(-7) - (-180)\/63. Suppose 0 = i*b - 15, 15*x - b = 11*x + 1339. Is x a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + -1.99. Let k = 42.4 - 6.4. Let v = k - 31. What is the closest to -2\/3 in v, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 - 64. Suppose 23 + f = 3*h. What is the smallest common multiple of ((-4)\/5)\/((-3)\/h) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4474230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c - 68*c + 12*p - 58 = -142*c, -5*p = -4*c + 33 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 94. Suppose -5*c - 32 + 97 = 0. What is the remainder when c is divided by m(-29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 16 - 13 - 15*s + 15*s.\nAnswer: s**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 2643*v**5\/5 + 314*v**2 + 2526. What is the second derivative of t(x) wrt x?\nAnswer: 31716*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*g - 13 = 101, 5*g = 2*u - 62. Let w be (u\/(-495))\/((-2)\/(-5)). Which is the closest to 0.1? (a) w (b) 5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -16.9 (b) 3 (c) -0.49 (d) -0.02911 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 2. Let l be p(-8). Let b be (6 + -30)*(-4)\/l. Suppose -8 = u + 5*g, 2*u = -2*u + 4*g + b. Solve 0 = -u*x - 2*a + 14, -5*a - 13 = -4*x - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -515 - 117*u**2 + 515 + 18*u**3 wrt u?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44109c0 + -3?\nAnswer: 44109bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(3025) - (sqrt(3025) + (sqrt(3025) - ((sqrt(3025) - sqrt(3025)*1) + sqrt(3025)))))*-6)\/(-1*(sqrt(5) + -4*sqrt(30)\/sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18818890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 - -0.058269423072.\nAnswer: -34.941730576928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Let x(g) = 3*g**3 + 3*g**2 - g - 1. Let u be x(2). Calculate the greatest common divisor of u and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 39768 = -3*i, 0 = 4*w - i + 4*i - 39792. List the prime factors of (((-2)\/(-6))\/(-1))\/((-15)\/w).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559 is divided by 174?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - 3 - (3 + 130). Let z be 21\/2*(-160)\/f. Let r be ((-1)\/(-2) + 1)*32. What is the highest common factor of r and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o - o + (-2 + 1 + 0)*(-2*o + 0*o + 3*o) - 102*o - 108*o + 187*o.\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 19*m - 233. Let p be y(13). Which is bigger: 44 or p?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -7*h**4\/4 - 10*h**2 + 98. What is the second derivative of s(c) wrt c?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 69 (c) -5 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1, 0.16, -4, 780?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 - z)*(4 + 2 - 5) + 2*z + 0 + 0 - 7 + 2*z + 7 + 2*z + z - z)*(2 + 0 + 7*z - 9*z)*(7 + 5*z - 7) as t + q*z**2 + i*z + k*z**3 and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457132, 1828482, 4114066, 7313884, 11427936?\nAnswer: 16456222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1853 - -3?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 11172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 - 737595*p**2 + 2403657*p?\nAnswer: 6*p - 1475190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25913698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + 37127?\nAnswer: 37163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 205612139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 3*b**2 - 10*b + 5. Give t(-5).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 y when four letters picked without replacement from {h: 4, n: 1, m: 2, y: 3, c: 4}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (0 - 0) + 4. Which is the closest to -4? (a) o (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d**4*u + 4*d**3*u**2 - u**2 - 31 wrt d?\nAnswer: 16*d**3*u + 12*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2392, 2284, 2176, 2068?\n\"Answer: -108*r + 2500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.5 - 21.5. Which is the closest to h? (a) -5.4 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 682\/(-24) + (75\/20 - 3). Let v be 8002\/(-282) - (-2)\/3. Let a = v - i. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-84))\/(17\/(2720\/8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onww when four letters picked without replacement from nyewowx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*g**2 + 7*g + 7*g + 32*g**2 + 2*g in the form t + n*g + x*g**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93479, -93331, -93187, -93047?\nAnswer: -92911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 1315 - 2192. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - 1.699955. What is u rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:11 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.9629 and -127.7.\nAnswer: -125.7371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.141410718 - 0.141294. Round p to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*m + 16. Suppose -z + 71 = m. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 36 = -8*n. Solve 3*q = -4*m - 3, -n*q + 12 = 2*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977223 is divided by 1683.\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54026 (base 8) to base 6.\nAnswer: -252222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*12\/81 - (-10)\/(-6). Which is greater: 0.079 or p?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = y - 13, 14 = 4*r + 2*y. Suppose -2*g - 3 = g, -580 = -3*u - r*g. What is the highest common factor of 65 and u?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*c + 72 = -6*l, -15 = -3*c. Let h = l - -579. Calculate the remainder when h is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 8:37 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1432042 + -131654. Let l = k + -670388. Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - 2*u**2 + 7*u + 2*u**3 + u**2 - u**3 - 4*u**3 as y*u**3 + r + s*u + m*u**2 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/420*515\/(-24102)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135154, 135156, 135168, 135196, 135246, 135324?\nAnswer: 135436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72783899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/(-287)*(-21)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppllppnllllpn. What is prob of picking 1 l, 1 n, and 1 p?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*k + 45 = -96*k. Suppose 5*u - 165 = 5*g + 600, 0 = -5*g + k. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -370*y**3 + 9*y**2 + 12*y + 8. What is the hundreds digit of m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2560811 is divided by 512158?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490783331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 9, l: 6}. Give prob of sequence ccl.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 53*o = 54*o - 1, 0 = 5*w - 3*o - 3. Let t(p) be the second derivative of -5\/48*p**4 + w*p + 0 - 1\/80*p**5 - 3\/8*p**2 - 7\/24*p**3. Factor t(z).\nAnswer: -(z + 1)**2*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/((-1)\/(2 - 1)). Let r be 2\/6 + 4\/d. Let f = 2 - r. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j**2 + 20*j**2 + 47*j**2 + (3 - 2 - 2)*(-4*j**2 + 7 - 7) in the form x*j + o*j**2 + v and give o.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.1, -0.1, 3, 6212 in decreasing order.\nAnswer: 6212, 6.1, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 10*b - 15. Let j be y(-9). Let t(n) = n + 4*n - 3*n + 0*n. What is t(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + a = -10*a + 270 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236660 (base 8) to base 16.\nAnswer: 13db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -5ac33?\nAnswer: 5ac33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11*a**(-6)\/a)**(-1\/32) assuming a is positive.\nAnswer: a**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 291880 divided by -2?\nAnswer: -145940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0 (base 14) in base 6?\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0391 in -0.2, 4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 - 181586*l**3 + 251*l**2 + 2*l - 391.\nAnswer: -24*l - 1089516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -37350 + a + 74700 - 37350. Let f(o) be the first derivative of -8*o**3\/3 + 5*o - 1. What is f(j(c))?\nAnswer: -8*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 436 - 192*q**2 - 282*q**3 + 284*q**3 + 191*q**2 + 938 to the form c*q + y*q**2 + t*q**3 + d and give d.\nAnswer: 1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332396 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0 + 0)*(0*d**2 - d**2 + 0*d**2)*(24 - 24 + 3*d).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852478 + 1?\nAnswer: -1852477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46413.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -133259.98 to the nearest one thousand.\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 19*s**2 - 47 + 47 - s**3 + 4*s**2 to o*s + p*s**2 + k + h*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 20375838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v. Let y(c) = -2231*c**2. What is f(y(m))?\nAnswer: -8924*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 4\/((-108)\/(-21)). Let o = -27 - -25. Is o smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.1, -37, -3?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.682 times -5.56?\nAnswer: -37.15192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/((-1099)\/4239)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 22422?\nAnswer: 246642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 19*y + 18 = 20*y, 5*z + 96 = 3*y. Let s(b) = 126*b**2 - 13*b - 46. Is s(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**(-28\/5)*m))\/m*m)\/m**(-1\/14))\/((m*m*m*m\/(m*m\/(m*m**29)*m*m)*m)\/(m*m\/m**(-6\/11))))**(-38) assuming m is positive.\nAnswer: m**(511803\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 4*r**2 - 4*r - 4. What is the remainder when 147 + ((-27)\/5 - 66\/110) is divided by k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 26 - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187535255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1254400 and 4000?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*u**2 + 66*u**2 + 195*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8866\/15 - 591. Let z(k) be the second derivative of k - 1\/3*k**3 - x*k**6 + 0*k**5 + 0*k**4 + 0*k**2 + 0. What is the second derivative of z(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3781\/3 + 1261. What is the third smallest value in 5, s, 5\/4, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(120) + 1*sqrt(120)*4))\/((sqrt(336)\/(1*sqrt(8)) - sqrt(42) - sqrt(42))\/(sqrt(35)\/(1*sqrt(5))))*-2.\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33458430 divided by 6691686?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 6. Suppose -2*i = 3*x + 2*i + 54, 27 = -3*x + 5*i. Let j be (-4)\/14 + (-60)\/x. Is 8 a factor of c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(3*sqrt(170) - sqrt(170)))\/(sqrt(30)\/(-3*sqrt(3)))*-4 + 3.\nAnswer: 3 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37+0.087\nAnswer: -36.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23819734 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80.72 + -0.28. Let y = v - -81.08. Which is the third biggest value? (a) -0.5 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 265*w + 125. Let t(a) = a - 2. Let g(d) = -j(d) + 6*t(d). What is the tens digit of g(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3325*j - 154568 + 73649 = 148506 for j.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79742034 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 2632362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 2*i**2 + 5*i**3 - i**2.\nAnswer: 5*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 4708?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5\/3 (b) -4\/3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388751 is divided by 25916.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*2\/(-3))\/(-2)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 432*q - 91*q + 258*q - 2 + 1 + 104*q + (-5 + 2 + 2)*(3*q + q - 3*q) - q + 2*q + 2*q to the form c + h*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 577800069?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 8*t**2 + 4. Let p be o(8). What is the remainder when 129 is divided by (p\/10)\/(4\/110)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/45399456 and 55\/24.\nAnswer: 45399456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, x: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2210, -1870, -954, 826, 3758, 8130?\nAnswer: 14230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 3*k - 7. Determine o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-90))\/((81\/30)\/3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 2*b + 2. Let u be 26\/4 + (-8)\/(-16). Let v(i) = -9*i**2 + 7*i - 7. Determine u*a(x) + 2*v(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u + 57. Let f = u + 39. Let n = f - 2. Calculate the highest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 10:25 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.1. Let b = -0.5 - i. Let a = 0.5 + b. Is 1 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45748033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/38714 and 59\/234?\nAnswer: 348426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(1085\/10)*(21\/(-20))\/(-3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2161.6 + -2161.8. Let b = 8.1 + -11. Let l = -3 - b. What is the nearest to l in 2\/7, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 173*m**3 - 4*m**2 - 2*m - 2. Let q(w) = -73008*w**3 + 1690*w**2 + 845*w + 845. Give 1690*o(u) + 4*q(u).\nAnswer: 338*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.73 + 1.473. What is i rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 195*m. Let b(i) = -7*i. What is 169*b(q) + 6*s(q)?\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 = 6. Let p be ((-16)\/5 - n)\/((-2)\/10). Solve 3*w + p = -2*j, 5*w = -3*j + 2*j + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d - 3. Let z(h) = 5*h - 3. Suppose -12 = -5*m + s + 6, 2*s = 2*m - 4. Calculate m*q(l) - 5*z(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 165*n - 49*n + 4*n**3)*(4 - 1 - 2).\nAnswer: n**3 + 116*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 32 + 119 = 0. Calculate the remainder when 230 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*w + o - 5 = -180*w, 222*w - 34 = 218*w + 10*o for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**0))\/((b**(-2\/11)*b)\/b))\/((b*b**(-3\/4))\/b*b*b**(1\/3))*(b\/b**(-3\/2)*b\/b**(1\/7))**(3\/11) assuming b is positive.\nAnswer: b**(1399\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106581 or -633?\nAnswer: -106581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 129375 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/2 + 13*h**3\/3 - 4*h**2 + 15*h + 7695. Give i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12*c - 6. Let q(i) = -1. Let t(j) = 8*q(j) - x(j). Let y(v) = 4. Let l(h) = -h - 4. Let d(b) = -l(b) - y(b). Calculate 6*d(g) + t(g).\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.503251 and 21.\nAnswer: 10.568271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 245*v**2 - 30*v - 51. Let d(i) = -41*i**2 + 5*i + 9. Let t(u) = -34*d(u) - 6*n(u). Let f(o) = -o**2. What is t(f(w))?\nAnswer: -76*w**4 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 3*c, -4*c = -2*s + 3*s + 28. Let k = -826 - -2434\/3. What is the common denominator of 2 + s + 3 + (-324)\/(-40) and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-35))\/((-3)\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 9. Let g be c(7). Let m(y) = -g - y + 3 + 0. Suppose -3*l - 10 = 2*s - 6*l, -s - 6 = -2*l. Give m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18730429 + 40867429. Round k to the nearest one hundred thousand.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and 1300.\nAnswer: -57200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 283908 and 23836?\nAnswer: 28674708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/6)\/((q**4\/q*q)\/q))\/(q**2)**25)**(-29) assuming q is positive.\nAnswer: q**(9251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 31*t - 167. Let r be n(-7). Let v(u) = 13*u**3 + u - 1. Calculate v(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-21 + -26 + 28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 276227270347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*o - 8*o + 0*o + 14*o to l*o + t and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1 - 189 = 0. Let c(i) = -86*i**2 + l*i**2 + 40*i**2. Let r(b) = -9*b**2. Calculate c(r(a)).\nAnswer: -648*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o + 0*o - 2*o)*(52 + 42 - 192) in the form q*o + f and give q.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -252*j**2*v + 126*j**2 - j wrt v?\nAnswer: -252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 + -44. Suppose y - 4*j = -5*j - 82, -4*y - 328 = 5*j. Let u = y + i. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.1 + -45.6. Let t = 11.6 - 15. Let q = t + 2.4. What is the nearest to 9 in k, -1\/2, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x - 3. Let o be n(0). Let y be (-9 + 11)\/(3*-3). Which is the nearest to 1\/2? (a) 1 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (17 - -11 - 30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(3 - 49\/14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 35, 32, 29, 26?\n\"Answer: -3*y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 2035 - 785 = 0. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2122 + -2126. Put -5, 3, 1, 2\/13, x in ascending order.\nAnswer: -5, x, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 94159.99 millilitres to litres.\nAnswer: 94.15999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 9:18 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 - 9*a**2 + 7*a**2 + 2*a**4 - 3*a**4 - 2*a**5 - a**2 + a**2 + (0 + 0 + 2*a**3)*(a**2 - 2*a**2 - a**2) - 2 + 2*a**5 + 2.\nAnswer: -6*a**5 - a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -108\/11. Let k = 2.7 - 3. Let t = k - 0.7. What is the nearest to -2\/7 in x, 0.3, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 258 + 3?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 616*q + 1812.\nAnswer: 4*(q - 151)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 193695495 divided by -64565165?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p + 47 + 36 - 109 - 154 - 9*p. Let k be q(-12). Solve -2 = -k*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2045 + 22689. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -55, 21, 1, -81 in decreasing order.\nAnswer: 21, 2, 1, -55, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 68 = -4*l, 3*l + g = -38 - 3. Let n be (-58)\/l - 9\/(-54). Solve -n*x = -6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 64*j + 120.\nAnswer: 2*(j - 30)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181*s*x**3 - 8*s*x**2 - 2*s*x + 26*s - 10*x**3 - 53*x wrt x?\nAnswer: 1086*s*x - 16*s - 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + -20. Let k(q) = 3*q - 2. What is the remainder when k(4) is divided by ((-10)\/r)\/(2\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44160203 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20913.399 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7851.285 kilometers in nanometers?\nAnswer: 7851285000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3, h: 1, l: 1, o: 1, z: 7, y: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-207.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(-10)*(-108)\/10. Let f be 286\/9 - (-6)\/g. Suppose -4*z - 3*v + 389 = f, 4*z - 3*v = 339. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*z + 241*z + 252*z = -223*z - 1407 for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*g = 10, -v - 4*g + 0*g = -11. Let s(b) = 2*b + 1. Let c(u) be the first derivative of u**2\/2 - 6. Calculate v*s(d) + 5*c(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {q: 1, b: 10, f: 2, j: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7040 + 7040 + 803*f + (-4 + 3 + 0)*(-1 + 1 + f) + 0*f - f + 0*f + (0 + 5 + 0)*(-3*f + 3*f + f) - f + 0*f - f in the form t*f + o and give t.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 - 66*n**2 + 26*n + 155. Let t be q(-23). Calculate the highest common factor of 91 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 60 = 4*r, -r + h + 15 = 6*h. What is the remainder when 28 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + -3 + sqrt(242) + 4)*-5)**2.\nAnswer: 99000*sqrt(2) + 240300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 10*q**2. Let p(g) = 28*g**2 + 18*g + 8. What is p(j(x))?\nAnswer: 2800*x**4 + 180*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23387 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230060 is divided by 1840.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -412 - -403. Suppose -2*r - 5 - 3 = 0, 3*h + 3*r = 27. Let w = n + h. Solve 5*d - 3 = -2*a - 6, a = -w*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6313\/110 + 694\/11. Let c be 3\/12 - 253\/4. Find the common denominator of v and 1 + (-3)\/(c\/(-141)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 11850949*b + 11850965*b + 2.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 19. Solve -5*l = -k - j + 7, l - k = -2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 3*x**2 + x. Let c(o) = -7329*o**3 - 18*o**2 + 8*o. Give -c(y) + 6*s(y).\nAnswer: 7311*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*c - 19, 3*t - 3*c = -5*c - 26. Let s be 3*1\/6*(-7 + 7 - 14). Is s less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r - 0. Suppose -5*x - 5*u = -878 + 20308, 0 = -2*u + 4. Is x\/(-15) - r\/25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42314 divided by -42314.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*o, -o - 3*o - b + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 + 24*t + 23*t - 3*t - 20*t wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*-9*2\/(-21). Let m = 84 + -102. Let x be (m\/21)\/(2\/(-21)). Which is bigger: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -76\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 4835 = -3*v - 14*a, -5*v + 2*a + 8035 = 0. Calculate the remainder when v is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1482*x**2 - 1413*x**4 - 1482*x**2)*(0 - 4 + 3).\nAnswer: 1413*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 586*w**3 + 6*w**2 + 71*w - 230. Is a(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-5)\/207) + (-6)\/(-10). Suppose -2*x + 130 = v. Suppose -8*u + 180 = -x. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720946717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1450, -2889, -4328?\nAnswer: -5767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 161445818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 18*y**2 + 16*y - 18. Let c be l(-17). Let n be -11*c\/(-7) - -2. Let b = -0.9 + 4.9. What is the closest to 0.2 in n, -2\/9, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 + -5?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-l**2 + 0*l**2 + 0*l**2) + 6*l**2 - 2*l**2 - 2*l**2 + l**2 + l**2 + 0*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418731 is divided by 20927?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-162270)\/(-75))\/((-2)\/10). Let h = 5188 + d. Round h to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1571250 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*t + 738*t + 1974 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12484 - 12483.73. Is 14.4 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*r**2 + 83*o + 2*r**2 + 89*r - 42 wrt r.\nAnswer: 2*o*r + 4*r + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 - 804.06065\nAnswer: -804.05365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 d when three letters picked without replacement from {k: 6, d: 1, z: 7, u: 3}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 165*745\/(-944064)*-72\nAnswer: 75\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)\/(-10 + 9). Let d = y - -8. What is the greatest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-560)\/(-98) + (10 + 5 + -3)\/14. Let z*h**2 + 76\/7 - 80\/7*h = 0. What is h?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*((-15)\/(-25) - 36\/45). Factor 2\/3*s + 0 + 1\/3*s**3 + s**q.\nAnswer: s*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 5*((sqrt(637) + -2*1*sqrt(637))**2 + 0 + 3)).\nAnswer: 6404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from effrheee?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2862 (base 14) to base 6.\nAnswer: 53022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*(2 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81.9 - -81.213. Let c = s - -4.687. What is the nearest to -1 in c, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2424)\/48076*(-735)\/45.\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 624197031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 59\/4 + (-1)\/(-4). Let p be (-4)\/2 - (-10 + 6). Suppose 4*h = -s - 2, 0 = 4*s - 7*s - 4*h + p. Solve i + s*i = -k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 3*d**3 + 5*d**3 + (24 - 24 - 17*d)*(6*d - 14 + 14)*(4 - 4 - 8*d) to the form f + b*d**2 + r*d**3 + n*d and give r.\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 348.5.\nAnswer: 351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 27694 = 200*q - 2020. What is the remainder when 947 is divided by q?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14194 = -1657*q - 18135 - 4125 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 209\/4. Let t = 0.04 + -0.14. Let b = -0.3 - t. What is the nearest to r in 0.2, -0.1, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 121466026*f - 121466026*f.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 1. Let x(t) = -t. Let a(h) = -4*m(h) + 11*x(h). Let p be (-18)\/4*(-6)\/(-9). Let k be (-31)\/6 - p\/18. Calculate a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 240, -1.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**5\/120 + q**3\/3 - 1. Let m(h) be the third derivative of j(h). Let z(k) = -4*k**2. Give z(m(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1887)\/(-33) - (-4)\/(-22). Suppose 4*k = -3*v + k + x, 1 = k. Suppose 3*c + 3 = -5*p, 2*p + 4 - v = -5*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3\/15 - 21*z**2\/2 - 106*z\/5 + 1273. Factor w(o).\nAnswer: (o - 106)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -281*o**2 + 74*o - 201. What is p(3)?\nAnswer: -2508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(242) - sqrt(242)))**2 - (-2 + sqrt(242))*3.\nAnswer: -33*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-26) - ((-1072)\/52)\/4. Suppose -d = -l - 39, -s*d + 3*l = -113 - 78. Calculate the highest common factor of d and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*m - 86*m = 208. Solve -m*y + 22 = 3*a - 8*y, -6 = -2*a + y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44362107 and 266191.\nAnswer: 9179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -y - g, -2*y + 8*g = 12*g + 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 21*r**2 - 48*r + 47. Let g be k(23). What is the common denominator of -8 + 909\/510 + g*6 and -55\/119?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 171*q**2 - 168*q.\nAnswer: -3*q*(q - 56)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 10. Let m(b) = -7*b + 1. Let j be m(q). Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 529 and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from {t: 1, y: 1, e: 2, l: 2, w: 2, h: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/191 or 41840?\nAnswer: -5\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(-5*-3*sqrt(128) - ((sqrt(128)*-3 - sqrt(128)) + 5))*-2)**2.\nAnswer: -1969920*sqrt(2) + 59917968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 7*w + 1125. Let u be (w\/(-100))\/(2\/8). What are the prime factors of u*(-1)\/(-1) + (-243)\/(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94758191 to 3 dps.\nAnswer: -0.948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279 + -276. Let b = -4\/9 + 5\/9. What is the nearest to l in 1\/3, b, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-30\/13)\/r)*r**38*r assuming r is positive.\nAnswer: r**(563\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 2, j: 4, x: 6, b: 1}. What is prob of picking 3 x and 1 j?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + t + 5 = -t, -4*t = 5*j - 5. Let k = 40 - 58. Let h be 0 + ((-15)\/k - (-14)\/21). Which is bigger: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -12*c + 15*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 37*f. Let y be b(-19). Solve -y - 3 = 4*o + 2*u, 0 = u + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4434*i**2 - 4434*i**2 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.907 - -0.043. Let u = -6.6 + w. Round u to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 14*f**2 - 17*f - 10. Let s be x(5). Solve -5*m - s*i = -3*m, -5*m + 5*i = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -72. Let w = x - -56.37. Let t = w - 3.47. Round t to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001696?\nAnswer: 2, 3, 29, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 + c. Let d(i) be the third derivative of -7*i**6\/120 - 7*i**5\/15 + 7*i**4\/6 + i**2 + 10*i. Calculate -d(a) + 28*x(a).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*d - 78*d = 146*d + 2471 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 - 4*q**2 + 6*q - 28. Let b be t(4). Calculate the highest common divisor of b and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 8 + 0 + 5. Let q be j(6). Let s be (-4)\/6 + 16\/33. What is the nearest to s in -3\/7, q, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -5\/3*o**3 + 3\/8*o**4 + 0 - 7*o**2 + 0*o. Differentiate u(s) wrt s.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**7\/7 - 31*j**4\/4 + 2*j**3\/3 - 105*j**2\/2 + 2998. Find the third derivative of b(s) wrt s.\nAnswer: 240*s**3 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77112, 77315, 77868, 78945, 80720, 83367, 87060, 91973?\n\"Answer: 29*s**3 + s**2 - 3*s + 77085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((-8)\/48)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i*i*i**(-7))\/i*i))**(-28)\/(i**(2\/9)*i)**(-47) assuming i is positive.\nAnswer: i**(-743\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s**3 - s - 1. Let i = -15 + 10. Let a = i + 4. List the prime factors of r(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2\/2 - 8481*j\/2 - 94017 = 0.\nAnswer: -22, 2849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 - 207*p + 535. Let n be w(49). Let b(s) = 4*s - 1 - 3 + 5 - 9*s. What is b(n)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -647896, -2591571, -5831030, -10366273, -16197300?\nAnswer: -23324111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 511\/(-14) + 1\/2. Let q = 38 + n. Find the common denominator of -28\/47 and (1007\/38)\/(-2*q).\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1235.092ug to kilograms.\nAnswer: 0.000001235092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35604375 less than 35604375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -65*s**2 - 78*s - 78. Let t(l) = -l**2 - l - 1. Let n(u) = j(u) - 78*t(u). Let x(d) = 10*d - 4*d + 3*d. What is x(n(q))?\nAnswer: 117*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378.562 days in seconds?\nAnswer: 205507756.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108856488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12600 and 5380.\nAnswer: 3389400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -22*i + 182. Let o(u) = u**2. What is y(o(v))?\nAnswer: -22*v**2 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:36 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 118, -2\/9 in decreasing order.\nAnswer: 118, 0.18, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 7 = -5*y - 3*c, -y - c - 4 = 0. Let s(n) = n**2 - n - 7. What is the units digit of s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -15. Let w be 3\/(-12)*q - -4. Suppose -m + 4 = -w*y, -2 = -y + 1. Calculate the remainder when 78 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -901 + 21758?\nAnswer: 20957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - u + 358 = 2*h, -4*h + 5*u = 350. Let p be (-46)\/(-11) - (-14)\/(-77). What are the prime factors of (h\/p)\/((-10)\/20)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/(-4*2\/(-64)). Suppose 2*u - 9 + 673 = 3*d, 2*d = -p*u + 464. Let t = -139 + d. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 4*m + 10, -11*n + 84709*m + 50 = -0*n + 84705*m for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/40 and -77\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 59172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -20*q - 30. Let l = 29 - 40. Let c be j(l). Calculate the highest common factor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+-259248.315019\nAnswer: -259250.315019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0617278906 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 53. Let b = -5 + 5. Suppose 2*w = -b*w. Solve -5*q + p = -2*z, -2*z - 2*q + 3*q - 12 = w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4482 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/40 and 67\/42.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*r**3 + 1808*r**2 + 40900*r + 16072.\nAnswer: 4*(r + 41)*(r + 49)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -68. Let d be 4 + (2 - k\/(-7)). Solve -3*r + 3*u = 3, -3*r + 11 = 3*u - d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26015 - -25807. Which is bigger: -16 or i?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*d**4 + 280*d**4 + 63 + 3*d**3 + 4*d - 62 to h*d**2 + a + g*d**3 + y*d**4 + r*d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203665295?\nAnswer: 5, 677, 60167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 105*a - 525. Let w be z(5). Which is smaller: w or 8\/35?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 4*p + p + 2*p**3 to the form s*p + u + r*p**3 + l*p**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -121, -244, -347, -424, -469, -476?\n\"Answer: o**3 + 4*o**2 - 142*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.23734 micrometers to meters.\nAnswer: 0.00003923734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from jzxxcqcxccccjcx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/(-36))\/(235\/141)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/14 - 1542\/(-42) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010 - 11101011001101?\nAnswer: -11101100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:59 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, -95416, 0.5, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -179\/3. Let d = -10 + 15. Which is the second smallest value? (a) d (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*v + 15, -2*a - 6 = -v - 0. Calculate the smallest common multiple of v and 2 - ((-1)\/((-3)\/(-51)) - 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/51)\/(1998\/(-5661))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 47940 = -8*v. Suppose -13*x + 19*x - v = 0. Is x a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 + -73. Solve c = -4*c + 10, q = -5*g + 5*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2090 divided by -418?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -28, -39, -54, -73, -96, -123?\n\"Answer: -2*y**2 - y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 30\/8. Let c be 108\/63 + u\/14. Let g be (3 - 2) + c + -1. Put g, 5, 3 in ascending order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1486\/5 + -296. Let b = -61.4 - -61. Put 2\/5, -5, x, b in descending order.\nAnswer: x, 2\/5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 298*l - 6522. Determine m(-27).\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 1. Let w be (-2)\/8 + 26\/8. Suppose m = w*m - 10. Let c(g) = 3*g**3 - g**2 - 2. What is m*r(d) + 2*c(d)?\nAnswer: d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 - 1. Let b(i) = i**3 + 2*i**2 + i + 1. Let m be b(-2). Let h be o(m). What are the prime factors of (h\/(-14))\/(1\/(-287))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - i - i, -2*d + 5*i = 7. Calculate the highest common factor of 36 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6581163, 13162325, 19743487, 26324649, 32905811?\n\"Answer: 6581162*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11912*o**4 - 6386 with respect to o.\nAnswer: 47648*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 2*t + 2. Let i be w(-1). Solve -i*n + 7 - 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19674167?\nAnswer: 19674167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844949.5ug to milligrams.\nAnswer: 844.9495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/54822829 and 29\/229.\nAnswer: 54822829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24886 is divided by 3554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzizibzzzii. What is prob of sequence iizb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1188419355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -305, 2\/7, -1, 0.02?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 9 - (9 - 4 - (0 + -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (278 - 4) + (14 + -4)\/2. List the prime factors of t - (4 + (-20)\/4).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566709290.\nAnswer: 2, 5, 7, 8095847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12410, 12359, 12274, 12155?\nAnswer: 12002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, 35, -17, -129, -313, -581?\n\"Answer: -2*p**3 - 12*p**2 + 46*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/243 and 2\/2403?\nAnswer: 21627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/37))**47\/(c*c**(-33)*c)**(-18\/7) assuming c is positive.\nAnswer: c**(-20975\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*m**2 - 169*m**2 + 300*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 94*s + 390. What is a(10)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Suppose 308 = -d + 15*d. Calculate the remainder when d is divided by h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 2719251.\nAnswer: -2719251.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3, -0.53, -2?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(126)\/sqrt(2) - (sqrt(35)\/(-2*sqrt(5)) + 6*sqrt(7)*-2)))**2*-4 + -2.\nAnswer: -27054 - 1488*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*a**4*v - 32*a**3*v**2 + a**2*v**2 - 2698*a*v**2 - a wrt a?\nAnswer: 3336*a*v - 192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5665506s?\nAnswer: 566550600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10725 (base 8) to base 14.\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 47*m**3\/6 - 2*m**2 + 3*m. Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*u - 14 + 2, 3*x - u = 5. Let s(m) = m**2 - 4*m - 5. Let p be s(5). Let h(n) = 2*n + 6. Let c be h(p). Solve 2*i = x - c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -31. Let u(z) = 2*z - 4. Is 14 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.778036 rounded to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y - 33*y + 13*y + 10.\nAnswer: -40*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240928.\nAnswer: 2, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 7*n**3 + 326*n**2 - 488*n - 384 = 0?\nAnswer: -48, -4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o**2 - 24*o**2 - 332*o**2 - 54*o**2)*(2 - 2*o - 2) + (-397*o + 397*o - 25*o**2)*(0*o + 3*o - 2*o) as q*o**2 + p*o**3 + y + a*o and give p.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9437, 8810, 7767, 6314, 4457, 2202, -445, -3478?\n\"Answer: l**3 - 214*l**2 + 8*l + 9642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5139\/4 + -1285. What is the closest to f in 2\/9, 4, 1\/17, 1\/4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35255056 by -8813764.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1220 - 1220 + 2*i**2 - 1274*i**3)*(-4 - 3*i + 4).\nAnswer: 3822*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2394)\/(-84) + -25)\/(77\/(-55))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 4:05 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 12979520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110203 - 1?\nAnswer: -110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 = -2*u + n, 2*u - 22 = -4*n. Suppose 14 = -d - u*a, d - 3*a - 14 = -a. Sort 5, -1, d in ascending order.\nAnswer: -1, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**0*f))**(-2\/99)\/(f\/(f*f\/(f\/(f**1\/f))))**(-13\/2) assuming f is positive.\nAnswer: f**(-2\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63\/4 - 16. Which is the closest to o? (a) -2\/5 (b) -31 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 352\/640 + 4\/(-5).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -66a?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 162*d - 129*d - 84, 0 = -n + 3*d - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {g: 5, s: 3, r: 1, e: 1, q: 1, p: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5707918.7 + 8.341.\nAnswer: 5707927.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 9:36 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/58)\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6593 - 0.7593. Put -0.2, 0.2, 8\/19, -4, l in decreasing order.\nAnswer: 8\/19, 0.2, l, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:10 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, t: 13}. Give prob of picking 3 h.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6090 and 11760?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67.38 + -72.38. What is the closest to 2\/7 in 1, -0.188, z?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let h(s) = -1. Let z(d) = 5*g(d) - 3*h(d). Let m(t) = -t**2 + 5*t - 2. Let i be m(5). Let l(w) = w**3 - 5. What is i*l(n) + 5*z(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/26*(-397)\/(-2779)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 884543 + 0.04.\nAnswer: 884543.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 7:52 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 18 = -2*j, 5*a + 93 = -3*j + 66. Factor 0*c**2 + 3\/7*c**4 + a*c**3 + 0*c + 0.\nAnswer: 3*c**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 14. Let l be g(-9). Let n(t) = -t**3 + 7*t**2 - 3*t + 1. Does 12 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15291521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**7\/7 - 19*y**4\/12 + 76*y**2 + 5*y. What is the second derivative of l(i) wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -1\/2, 2, 30, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 1\/3, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g - 2. Let v be u(-8). Suppose 0 = 3*k - 41 + v. Suppose k = -3*w + 30. Solve w = -3*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 2*p - 9 = 0. Let l = 2 + -3. Let n(r) = 7*r**2 + 1. Let x be n(l). What is the greatest common factor of p and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -8*v + 97 - 120. Let q(f) = -3*f**2 - 6. Let p(u) = -u**2 + u. Let t(d) = -4*p(d) + q(d). Let y be t(6). Is y greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 90*h - 48. Let m(v) = 13*v - 7. Let w = -3768 + 3795. Determine w*m(c) - 4*z(c).\nAnswer: -9*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1282, -2299, -3054, -3547, -3778?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(60\/9)\/(-4). Does 5 divide (-13)\/65 - (-166)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1631785611.31 and 0.22?\nAnswer: 1631785611.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -344 - -329. Which is the smallest value? (a) -0.5 (b) i (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l - 4*m + 6, 0 = 2*l - m. Let x = -471 + 470.7. Which is the nearest to x? (a) 0.2 (b) 1\/8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 times -0.7?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*a + 98541 = 98557, n - 28 = 5*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.95861l to millilitres.\nAnswer: 60958.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j + 2, j - 14 = -5*x. Solve 5*t = -3*k - 31, -6*t = -x*t + 2*k + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 673266 times -9\nAnswer: -6059394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 = -4*m - 0*o, 3*m + 5*o = 2. What is the closest to m in 1, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 3*c - 5. Let k(m) = -m**2 - 2*m - 2. Let j(g) = 3*f(g) - 7*k(g). Determine j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/(-18)*(-2 - 0). Let i be 9\/1 + 3*-1. Suppose 0 = q + 2, -5*g - 2*q + 8 = -i*q. Sort -2, g, a.\nAnswer: -2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-4)\/912)\/((38\/8)\/(-19))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3900*t = 3801*t - 1980 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -79, 20926.\nAnswer: -79, 59, 20926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4\/2 - 16*s**3\/15 + s**2\/5 + 4*s\/5 + 9. Suppose a(i) = 0. What is i?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 0.0532889?\nAnswer: 4.0532889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 4*l - 43. Let w be t(-4). Solve w*b + 129 = 114 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqpplhvhvpqvqqq. What is prob of picking 1 l and 1 h?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1022 and 4?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 7. Is 2 a factor of u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5033653217?\nAnswer: 53, 94974589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 6*m - 16. Let d be 3\/3 + (-1 - 12). Let v(s) = -s - 1. Let b(w) = d*v(w) + c(w). What is k in b(k) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -571, -857, -1143, -1429?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*m - 74, -4*d + 18*m = 23*m - 54. Suppose 9*b + d*b = 100. What is the remainder when 18 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from {b: 2, g: 3, q: 1, i: 2, n: 4, j: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06338747438 rounded to five decimal places?\nAnswer: 0.06339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, -2, -5, 0.0929 in ascending order.\nAnswer: -5, -2, -2\/3, 0.0929, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + -4. Let a(m) = m**2 + 11*m + 18. Let i be a(x). Suppose i = 6*j + 3676842 + 20683158. Round j to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -18, -25, -32, -39, -46?\n\"Answer: -7*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5764 + -3652. Let q be ((-100)\/(-3))\/((-8)\/y). Round q to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230162.\nAnswer: 2, 157, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*n + 116*n = -560 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**3 + i - 174*i**3 + 239*i**3 + 110*i**3.\nAnswer: 137*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1377) - (sqrt(1377) - (1 + sqrt(1377)*1))) + sqrt(1377) - (sqrt(1377)*2 + 4)) + -5 + sqrt(1377) + 1 + -3 + -1)**2.\nAnswer: -2996 + 396*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210004 (base 5) in base 11?\nAnswer: 5194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -23 + 56*(-15)\/(-35). Solve -19 = -3*c - h for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/111, 23, -0.1, 1\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-116)*-29)\/(5\/(-6)) + -40?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 6*g + n = 347, 5*g + n = 1747. Let h be (8\/(-7))\/((-100)\/g). Suppose 0*z = 5*z - 10. Solve w = -p - 2, -h*w + 0*p - z*p - 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 11 = -2*q - 3, q + 5*g - 3 = 0. Let z = -13 - q. Solve 2*a + 4*u + z = 0, -a - 2 + 0 = -u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16735970 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3\/4 + 27*y**2 + 27*y - 972 = 0. What is y?\nAnswer: -6, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 at least as big as 335280893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)\/((-3)\/12). Is a > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83.615431 - -71107884.384569. Let s = 71108025.999949 - n. Let f = s - 58. What is f rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*j - 26, 4*j - 3*j + 104 = 4*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 0*j)*(-4*j**2 + 5*j**2 + j**2)*(-j**2 - j**2 - 3*j**2) + (0*j**5 - 6*j**5 + 2*j**5)*(3 - 3 + 6).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 - 47 = -4*q. Calculate the remainder when q is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183231211*w**3 - 366462374*w**3 + 183231542*w**3.\nAnswer: 379*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + c = -3*c - 29, 3*m = -5*c + 38. Let g be (-2)\/((-6)\/m) + 2\/(-3). Solve g*k = -3 + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - i + 7*i - i**2 - 2*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(171) - 3*sqrt(171)) + sqrt(171)) - -5*(sqrt(171)*2 - sqrt(171) - sqrt(171)))\/((sqrt(441) - sqrt(441)*-2 - (sqrt(9) + -2*sqrt(36)))*-3).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7\/2 (b) -5 (c) 5 (d) -8 (e) -107\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-2)*(7 - 6). Suppose -14 = g + k + p*k, -3*k = -2*g + 27. Let h = g + 1. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28073 and 7961?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 30?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 8*q - 3*q)*(-q - 1643 - 1321 + 1143 - 2*q) as w*q + y + p*q**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404494 is divided by 328?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 16, 40, 84, 154, 256, 396?\n\"Answer: n**3 + n**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 19 = -11. Is x*(-2 - 0)*1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100.99524 + -101. What is u rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 47 (b) 1\/8 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14 = -12*v. Suppose 4*k + 0*k - j - 456 = 0, -v*j - 8 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 5091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1765884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 66e1b?\nAnswer: 66e18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 414196513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11385 = 7*n + 11350. Solve 8 - 18 = -w - n*l, -5*w = 5*l - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -156?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(117) + -4 - (1*sqrt(117) + -5))**2.\nAnswer: 24*sqrt(13) + 938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 11)\/(64\/(-24)*9\/144)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*y**5 + 4*c**3*y**2 + 43*c*y**5 + 38*y**2 wrt y.\nAnswer: -60*c**3*y**2 + 2580*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - f - 4, 0 = -5*f - 10 + 30. Solve 0 = 2*v - 2*k + w, -v = v - 5*k + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125336035 divided by 51095?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let g be (-3 - (-57)\/15)*5. Suppose 4*p + 3*c = 12, p - 3 = -g*c - c. Let t(b) = -25 + p*b + 25. Give l(t(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.15 - 1. Let a = 2.85 + l. What is the third biggest value in 0, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a - 10. Let y(q) be the first derivative of -q**4\/12 - q**2\/2 - 57*q + 79. Let k(h) be the second derivative of y(h). Give k(o(m)).\nAnswer: -40*m + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7*m = 2*m + 15, -m + 3 = 3*d. Let g be d*(-1 + 2\/4). Let f be 8*13\/2 - g. Calculate the highest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-4)\/240) + 0. Let m(k) = -k**3 - 43*k**2 + 2*k + 89. Let c be m(-43). Suppose 2*z - 3*t - x = 0, c*z + 4*t - 67 - 57 = 0. Is 26 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1198, -57, 1738, 4097, 6930, 10147, 13658, 17373?\nAnswer: 21202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 2*d - 1, 3*d + 3 = -2*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose 0 = -m*y - 0*x + 5*x - 5, 3*x - 3 = -y. Let t(o) = o + 4. Let i be t(y). Solve 0*d + 2*d - s = 5, -4*s - i = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 170*n**2 + 49*n - 175. Is k(5) a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -52, -0.5, 2, 4 in decreasing order.\nAnswer: 4, 2, -0.5, -52, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 78 = -9*c, 5*c - 2*c - 916*y + 913*y - 30 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14245529?\nAnswer: 2393, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -35 - (7 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c - 9*c - 9*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123\/16 or 21?\nAnswer: 123\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38203 is divided by 12734.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -363 + 178 + 8793*v**2 + 986*v**2 + 185 in the form g*v + a*v**2 + s and give a.\nAnswer: 9779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z + 347231 = 78*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 122*u + 7530. What is j(-45)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b. Let n = 0 + 0. Let g be k(n). Suppose g = -2*p + 6*p - 32. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -43 + 45 + 3*x**2 - x - 2*x. Determine w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 125609*m**2 - 3265102*m + 7032648 = 0. What is m?\nAnswer: -125583, -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - 4 - (8 - (9 + -13)) - -7?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b - 42 + 9*b + 51 + (1 - 1 - 7*b)*(-1 - 7 + 3) in the form p + d*b and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1084671 from 1.\nAnswer: 1084672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w + 15. Which is bigger: -16 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/6 - -3)*1\/5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170\/21 + 38\/7. Suppose 30*s + 17 = -4*j + 29*s, -3*s - 7 = j. Sort j, f, -6\/5.\nAnswer: j, f, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 65 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 5.6. Put 0.09, 4, p in descending order.\nAnswer: 4, 0.09, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1357465\nAnswer: -9502255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*h**3 + 1484*h**2 + 6516*h + 5544 = 0. Calculate h.\nAnswer: -3, -7\/6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 3*x + x)*(4 + 2 - 5) - 2*x + 0 + 0 + (3 - 3 + 2*x)*(-1 - 1 + 0) + 4*x + 0*x + 0*x in the form v*x + a and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105 and 7.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 15*r**2 - 15*r + 19. Let f be m(-16). Solve f*o = 4*d - o - 12, 0 = -d - o + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:57 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/7)\/(91\/637)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10008 (base 9) to base 15.\nAnswer: -1e2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-402)\/(-20)*52480\/15744.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*u**2 + 9*u**2 + 35*u + 13*u**2 - 134*u to z + q*u + g*u**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 231*a + 1838. Let v be c(-8). Let i be (-2)\/(-4) - (-78)\/4. Let x = v + i. Solve -24 = -4*f - 4*u, -u - x = -3*f - 2*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421712 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t + 1. Let m(c) = c**2 - 19*c - 1. Determine -j(s) - m(s).\nAnswer: -2*s**2 + 20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + cb59?\nAnswer: cb5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 16 = -3*o. Let x(l) = 8*l - 7. Let m be x(o). Let c = m + -41. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2552 divided by 97\nAnswer: -2552\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1578 from 35650502.\nAnswer: 35652080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6381, -25497, -57347, -101925, -159225, -229241, -311967?\nAnswer: -407397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3993 and 8448?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12788093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.528235 minutes to nanoseconds.\nAnswer: 151694100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 139*f**2 - 139*f**2 + 0*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + w**2 - 5*w**2)*(2 + 12 + 2).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 297. Calculate the remainder when x is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 0*a**2 + 0*a**2 + 21*a**4 - 52*a**4 + 29*a**4 + (-2 + a + 2)*(-2*a + 2*a - a**3).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*k - 7. Let b = 23 + -11. Let f be 8\/5*(1 + 4). Solve b = k*m - f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Let w be 1\/(-5) - (-24)\/(-5). Let f = w + 9. Calculate the remainder when r is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7539289 to three decimal places.\nAnswer: 6.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 3:56 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 22*t**2 + 15*t - 138. Determine f(22).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110690 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2474*l**3 - 883*l**3 - 795*l**3 + 2*l**2 - 2*l**2 - 810*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*w - 44 + 803 = 54*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12020*f**2 - 23995*f + 90.\nAnswer: -5*(f + 2)*(2404*f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0 + 0*k + 0 - 2*k. Let c = -1 + -3. Determine o(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 25*d - 23. What is the hundreds digit of x(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 4851900*z**2 - 242587500*z + 3032312500.\nAnswer: -4*(z - 1212925)*(z - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1455 divide 37069990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(0 - (-2)\/(-10)). Suppose 2*f - 58 = -2. Suppose 5*a + f = a. Put -1, a, d in increasing order.\nAnswer: a, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -782, -1668, -2868, -4370?\nAnswer: -6162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00319517 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:12 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/30 and -53\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -71. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -2*l, 2*v = -l + 18 + 5. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/(-4)*(-1820)\/845. What is the highest common factor of 518 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2479 + 9946. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28650 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -1 - (-158 + 143)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or -72?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 313912*y - 313916*y = -11, -5*o - 55 = 2*y for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - -8 - 2\/1. Suppose -4*s - 37 = 5*v, v - f = 3*s + 2*s. Let y = 5 + -2. Which is the second smallest value? (a) s (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81713*m**3 + 81765*m**3 + m - 163280*m**3.\nAnswer: 198*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Suppose -t - 3 = 4*j, -j = -z*t - 2*j + 8. Suppose 5 = 5*q - 5, t*g + 5*q = 355. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 8:01 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 4, i: 4, z: 4, l: 4, v: 1}. What is prob of sequence vx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 12. Let z = 22 - 8. Let v be -3 - (-23)\/z*2. Which is bigger: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.1 (c) -8131538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2248*k**2 - 4498*k**2 + 2253*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138448 and 816.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -579 + 619. What is the highest common factor of 184 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*d = -1127400 + 1260227 + 1946629. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 240\/36*(-873)\/(-12). Suppose f = 497 - d. Calculate the remainder when 35 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 6. Let x(f) = -3*f - 5. Let p(v) = -6*x(v) + 5*z(v). Let w(q) = 3196*q + 3170*q - 6364*q - 36. What is p(w(o))?\nAnswer: -4*o + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 100*y**2 - 12*y + 13. Let n(h) = h**2 + 2*h - 2. Give l(g) + 6*n(g).\nAnswer: 106*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 7, p: 3, q: 3, v: 2}. What is prob of picking 3 r?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 10*a**2 - 3*a - 49. Let g be z(9). Let u be -6*(-1 + 2\/6). Solve -g*v = -v + u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -267 (b) -4\/5 (c) 5 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.5973 nanoseconds to milliseconds.\nAnswer: 0.0006875973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 29 = -8. Find the common denominator of (-2)\/2 + (-25)\/p and -3 + (-1)\/((-1)\/32).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -95*j + 65. Let w(k) = -3*k + 2. Determine -6*n(m) + 195*w(m).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 5*o**2 - 6*o - 2. Give z(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09747794 - 3.90252306. Let s = 4 + l. Round s to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.007 - 4.007. What is the second smallest value in 0.1, -1\/4, 7, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -102, -87, -66?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3*-10*9\/12. Let k(h) = -8*h - 11. Let f be k(u). What is the highest common factor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n + 3*w, n + 5*w = 0. Suppose n = 2*g + g - 381. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.862 to 1 dp.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 16960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/77)\/(1\/(-1))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 3:22 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6. Let q be u(-2). Suppose w + 36 = -5*o + 143, -q*o + w + 47 = 0. What is the lowest common multiple of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/1275*(-10)\/28.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 + 13)*3\/(-18). Let q = -7 - -15. Let s(z) = z - 10. Let k be s(q). Sort k, -4, m.\nAnswer: -4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30623*l**3*v**2 + 3*l**3 + 420*l**2*v wrt v.\nAnswer: -61246*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/16 - 1\/16. Let x(z) be the first derivative of -5 + 0*z**3 + v*z**4 - 2*z**2 + 0*z. What is the second derivative of x(g) wrt g?\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 100.6. Is o smaller than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 2166899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79\/5 - -77\/5. Let w = -4.2 - -4. What is the third smallest value in c, 4\/3, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030 = -0*m + 5*m. Let d = -115 - m. What is the highest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 163.\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312 + -150. Suppose -6*u = -8*u + n. Calculate the greatest common factor of u and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 less than 28?\nAnswer: 28.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239799 and 399.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f**2 - 4073 + 4073. Let l(v) = -2*v - 6*v + v. Determine l(u(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l + 8 - 9 - 9. Let w be p(1). Let x(i) = -i**2 + 8*i - 6. Determine x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.3. Let w = -3785726 - -3785726.10000005. Let v = z - w. Round v to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-12 - (-8 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328.5 - -182. Let u = 146 + j. Put u, 0.03, 3, 5 in ascending order.\nAnswer: u, 0.03, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/17, -28\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = n - 5*n - 5*n + 13*n - 71, -5*r = -145 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 98 = 3*d - 38, 3*d = 4*i - 285. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 6, 8, 10, 12?\n\"Answer: 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37133, 74331, 111525, 148721, 185925, 223143, 260381, 297645?\nAnswer: 334941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/2, -1\/4, 5563\/3, 3, 0.1 in descending order.\nAnswer: 5563\/3, 3, 2, 0.1, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 1, n: 2, c: 3}. Give prob of sequence znww.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170538 and 25890048.\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1274\/9, -2, -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 5)*(-1)\/2. Suppose -5*v - 51 = -j. Let o = -842 - -835. Is v < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjnjttnjtttr. Give prob of sequence njjj.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -42*y**2 - 23*y + 976. Let j(s) = -11*s**2 - 6*s + 244. Give -23*j(w) + 6*r(w).\nAnswer: w**2 + 244","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.7. Suppose 0 = 2*b + b - z - 13, -4*b + 24 = -3*z. Suppose -2*x = b*x + 10. Sort p, -0.1, x in ascending order.\nAnswer: x, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/30 - 3218\/(-12). Let w = 274 - s. Calculate the common denominator of w and -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30778200 to the nearest one hundred thousand.\nAnswer: -30800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8986328mg in grams?\nAnswer: 0.0008986328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48764.\nAnswer: 2, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, 0.166, 1\/571?\nAnswer: 1\/571","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/45 - b**4\/6 + 20*b**3\/9 + 4*b**2 + 50. Solve m(n) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 0) + (282 - 297).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3833119 divided by -53\nAnswer: 72323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*f - 44, 3*c - 3*f = -2*f + 35. Suppose 2*b + c = 6*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3691 + 3691. Which is greater: b or -1\/3227?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Determine p, given that p**3 - 3*p**3 - 2*p**2 + s*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25537, 4 in descending order.\nAnswer: 5, 4, -25537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014150 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o. Let y(r) = -41*r + 2. Give w(y(a)).\nAnswer: -1312*a + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 15*x + 70. Let u be a(-7). Let s be -4*2*(u\/(-20) - 2). Let g = 2 + 16. Calculate the highest common divisor of s and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 15*g + 6. Let n be j(-7). Which is smaller: n or 2\/109?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.6 - -0.00346\nAnswer: -14.59654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 + 2.9. What is the third smallest value in -0.5, -2\/11, q, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/7)\/((-2550)\/(-210)). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 90 - 4\/(-2). Let v = 125 + q. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.034 (b) -2.6 (c) -94\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 4*j - 1. Let t be p(3). Let q(c) = 3*c + 18. Let r be q(-6). Suppose -2*w + 6*w - 24 = r. Solve 0 = -h - t*d + 7, -4*h + w = -d - 2*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42015716441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2462*c + 41*c = 33214 + 29361 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - 5*c**4 + 2*c**4 - 2*c**2 - c**4 + 2*c**2 + (-c + c + c)*(-2 - c**3 + 2) + (15 - 15 + 3*c**2)*(2 - 3 + 11*c**2 + 41*c**2).\nAnswer: 153*c**4 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 + 2805*b**4 + 538555*b**3 + 40104955*b**2 + 920335680*b - 960982000 = 0.\nAnswer: -209, -100, -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3 + 60*i**2 + 1898*i - 217144 wrt i.\nAnswer: -6*i**2 + 120*i + 1898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = 4*q. Let c be q\/(16\/(-12)) - 0. What is the greatest common divisor of c and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6391, -6469, -6597, -6781, -7027?\nAnswer: -7341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 13 = -2*k, -5*p = -3*k - 2*p + 3. Suppose 14*o - 18 = 11*o. What is the least common multiple of k and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - 10*o + 7. Let g(j) = -j**2 - 3*j + 2. Give 14*g(a) - 4*w(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 945 and 7191800.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5*2)\/((-6)\/12)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k - 6. Let c(q) = 23*q + 11. Let z(h) = 6*c(h) + 11*g(h). Let u(a) be the second derivative of 0*a**2 + 6*a - 1\/3*a**3 + 0. What is z(u(v))?\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 895*90526\nAnswer: 81020770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 12 = 0, 2*l + 17 = -j + 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.239936 rounded to 3 decimal places?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 at least as big as 675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -719 - -39543\/55. Let w be (1 + 22\/(-28))*49\/(-14). Let i be (4\/(-55))\/(20\/50). What is the second biggest value in y, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/48)\/(3\/(-856)). Suppose -k + 16 = -6*d. Solve d - 8 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 - 6*s**2 + 6*s - 2. Let f(x) = 13*x**3 - 24*x**2 + 24*x - 8. Let g(k) = 2*f(k) - 9*w(k). Give g(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239\/70 - -3\/35. Factor -f*m**5 - 10*m**3 - 4*m**2 + 13*m**4 + 0 + 0*m.\nAnswer: -m**2*(m - 2)**2*(7*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = 20*j - 874. Suppose -4*q + 418 - 110 = -4*z, -306 = -4*q + 2*z. Calculate the remainder when q is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 23672412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 144\/(-14) - (7 + (-51)\/7). Let q(t) = -2*t**3 + 2*t**2 + 12. Let o(k) = -3*k**3 + 3*k**2 + 13. Calculate m*o(b) + 5*q(b).\nAnswer: 2*b**3 - 2*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10549, -2, 2, -4, 7, 51 in ascending order.\nAnswer: -4, -2, 2, 7, 51, 10549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 883 = -u + 885, 3*x - 12 = 5*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(2) + 3 - (sqrt(2) + (sqrt(88)\/sqrt(4))\/sqrt(11))**2 - (sqrt(24)\/sqrt(48) - (sqrt(32)\/sqrt(4))\/sqrt(4))))*3 + -4.\nAnswer: -22 + 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/30*18\/(-8). Suppose 0 = -0*z + 5*z + o - 22, -4*z + 8 = -4*o. Solve -c*m = -6*m, -h = -3*m - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 10*c**2 + 9*c. Let m be o(-9). Suppose -5*q - 69651 + 6508351 = m. Suppose -212260 = -5*i - 2*l + q, -2*l = 0. Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8329 - -11787. Suppose q = 5*k + 1759, -11*q + 5*k = -13*q + x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**(7\/5)*(v**1*v)**(-47))\/((v**12*v)\/(v*v**(-2\/5)))**(-31) assuming v is positive.\nAnswer: v**(1466\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216 - -109. Let u = k + 107.1. Is u less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 1\/((-3)\/9). Let w = h - 1. Let d(n) = n - 1. Let b be d(w). Solve -b*o = -m + 7, 4*m - 2*o - 3 = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3642 and 151\/6.\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*a + 1209698*a**2 - 960*a**3 - 4*a - 1209760*a**2 wrt a.\nAnswer: -5760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/18)\/(85\/(-34))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*d**3 + 21 + d - 45 + 24.\nAnswer: -128*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 1\/3*p**3 + 5*p + 4 - p**2. Calculate the remainder when 12 is divided by s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 697 - 684. Solve 4*f - 5 + o = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 108*s. Let d be c(1). Suppose -2*q = -4*v - d, 222 = -2*q + 6*q - 2*v. Calculate the remainder when q is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1545*b. Let v(p) = -4*p**2. What is v(y(x))?\nAnswer: -9548100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 16436?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -o - 3*a, 3*a + 22 = 5*o. Solve -7*j + 2*j - c + 6 = 0, 5*c + 30 = o*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -5 + 0 + 113 + 58 + -83?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3917 or -7833\/2?\nAnswer: -3917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436046?\nAnswer: 2, 13, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l + 0*l - 4 + 3*l - 5*l. Let y(w) = w + 2. Give 3*q(i) + 7*y(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/32 - 6\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 77 = 3*v. Solve -4*s + 6 = v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27640430 by 5528086.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/20*-174*-2. Let r = -84 - f. Solve 0 = -5*p + 25, t + r*t + 37 = 5*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-35 - -32)) + -15.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - -606. What are the prime factors of a?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26729 - -6?\nAnswer: -26723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + j. Let m(l) = -3*l**3 - l**2 - 51*l. Give 3*k(u) + m(u).\nAnswer: -3*u**3 + 2*u**2 - 48*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 23. Let f = 36 - j. Find the second derivative of -3*d**f + 8*d + 2*d + 15*d**3 wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*i + 371592 - 372168 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 34 + (42 - 12).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500869 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(14\/84) - 46\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/140*((-175)\/225)\/(4\/(-24)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((0 - 1)*1). Let v be u\/((-12)\/(-3))*-4. Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(3 + (-515)\/(-125)). Let x = i - -2354\/65. Determine f, given that 6\/13*f - x + 2\/13*f**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322623 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 - 28 - -28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-5 + 2 - (1 + -3)). What is the hundreds digit of 5 + (2961\/x)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.219 to 1 decimal place.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:16 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let s = -7.7 - -3.7. Let m = 109\/85 - 15\/17. What is the nearest to c in s, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 5360?\nAnswer: -5361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 30*l**3 + 153*l**2 + 2484*l + 6804 = 0?\nAnswer: -7, -6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvjvvvvjvj. What is prob of picking 4 v?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001011010111 - -10011?\nAnswer: 1000001011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*(-234)\/624?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**2 - 6*m + 3. Let i(w) = w**2 + w - 1. Let h(x) = a(x) + 6*i(x). What is the first derivative of h(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 622666074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95758*c**3*o + 763*c**3 - 20148*c*o + 258*o + 18 wrt c?\nAnswer: 574548*c*o + 4578*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2622\/18749 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 1.1 (c) -14 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, -2469 in decreasing order.\nAnswer: 30, 4, -2469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {k: 6, p: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/58 and 90\/(-8)*18\/10.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 = -5*y, -2*y - 7 = y + 2*q. Does 2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + z**2 + 5*z - 41. Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by -462\nAnswer: 80\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2 - 1 - 3*p**3 + 7*p**2 - 16*p**2 + 5*p**2 - 28*p. List the prime factors of h(-7).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.5. Let n be (6552\/198 - 36) + (3 - 0). Which is the smallest value? (a) u (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 30 (c) -1\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 6*b + 3*b + (b + b - b)*(2 + 5 - 5) - 4*b - 2*b + 5*b + (-5 + 1 + 2)*(-2*b + 4*b + 0*b) - 4*b + 0*b + 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391475, 1390977, 1390147, 1388985, 1387491, 1385665, 1383507?\nAnswer: 1381017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9025*f**4\/4 - 4655*f**3 - 5087*f**2\/2 - 147*f - 9\/4.\nAnswer: -(f + 1)**2*(95*f + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*j = 0, 0 = 5*t - 292*j + 289*j + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188 is divided by 189.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**7\/630 + 19*j**6\/36 - 32*j**5\/15 - 98*j**2 + 12*j. Factor y(w).\nAnswer: w**2*(w - 2)*(w + 192)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 6\/5 (b) -0.4 (c) 0.37 (d) 1\/4 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 4. Let a(z) = -1 - g*z**2 + 3 + 6*z - 5*z + z**3. Determine a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 85662830.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-15)\/2) + 76\/(-10). Let f(w) = w**2 + 7*w - 6. Let o be f(k). Let b be ((-2)\/(o*(-4)\/(-12)))\/(-1). Solve -b*a = -9 - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-45)*201\/(-268).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**(-15)))\/b))**(-2\/3) assuming b is positive.\nAnswer: b**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + (1 + 0 + 1)*(0 + 2 - 4 + (11 + 14 - 8)*(-1 - 1 + 1) + 0 - 1 + 2)*(2 - 1 - 2) + 12 + 7 + 1)*(-y**3 - 2*y**3 + y**3).\nAnswer: -108*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1714\/21 - 1153480\/14133. Let z = a - -18838\/2019. Is 9 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/6 (b) 0.5 (c) 0.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 3 = -29*n. Let z = 2.0521 - 0.0521. What is the nearest to n in -5, -1\/2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-7))\/(36\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/2)*w\/(w*w\/(w*w**(1\/6)*w))*w*w\/((w\/(w**(-2\/57)*w))\/w*w)*w**17 assuming w is positive.\nAnswer: w**(411\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 1:34 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 434855183 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 99. Let z(p) = p**3 + p**2 + p - 3. Determine z(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -509)*6\/21. Suppose -q - 836 = 3*q. Let w = k + q. Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.489 to 0 decimal places.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157803201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22213296*b + 44426582*b - 22213288*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*c = -61*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 92*y**2 - 572*y + 484.\nAnswer: -4*(y - 11)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(20)\/sqrt(360) + sqrt(2) - sqrt(14)\/(sqrt(7) - sqrt(63))).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**4\/4 + 7*v**3\/3 + 3*v**2 + 3*v + 4. Let g be s(-6). Suppose -8*i + 51 + 13 = 0. Solve -g*u = -u - i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(132)\/(sqrt(12) + sqrt(132)\/(sqrt(55)\/sqrt(5))) + (sqrt(176)*2 - 6*(sqrt(11) + sqrt(11) + sqrt(77)\/sqrt(7))))**2.\nAnswer: -19*sqrt(11) + 3975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -74, -113, -154, -197, -242, -289?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/30 - 7*v**4\/18 - 11*v**3\/9 - 5*v**2\/3 + 9*v + 152. Factor r(p).\nAnswer: -2*(p + 1)**2*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 46*c + 62. Let o be k(1). Suppose 18 + 10 = -2*s. Let m = 26 + s. What is the greatest common divisor of o and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -10, -13 = 3*f + 5*k - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)\/(13\/533). Let v = t - 14. Suppose v*f - 29*f + 40 = 0. Round f to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -36*h**3 - 3844*h**2 - 10376*h + 2496 = 0.\nAnswer: -104, -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 - 107*v**2 + 9332*v\/5 - 28704\/5 = 0 for v.\nAnswer: -552, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5854 - -5854.2. Which is the nearest to n? (a) -4 (b) -11.2 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11232036 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3547947947.\nAnswer: 2267, 1565041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13923 is divided by 74?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 6142?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddhd when four letters picked without replacement from sdsdldshodddhsu.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593063 is divided by 13478?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1055583243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/17 + 1012*w**4\/17 - 20438*w**3 + 121008*w**2 - 3071880*w\/17 = 0.\nAnswer: -742, 0, 3, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**4\/4 + 2350*c**2. Let o(y) = 44*y - 44*y + y**2. Determine v(o(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 16*s - 57. Suppose h = 4*h + 18. Let p be g(h). Solve 0 = 2*y - p*k + 4, -3*k + 5 = -3*y + k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2 + 3 - 6*m + m**2 + 3 - 11. Let l be x(5). Let r = -2 - l. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i - 1. Let n be s(1). Let m = 4 - n. Suppose w - 3 - 3 = m. What is the smallest common multiple of 10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*o - 10 = 0, 0*o + 4*o - 7 = 5*n. Let k(d) = -6*d**2 + 2*d + 1. Let l(b) = -b. Let x(v) = n*l(v) - k(v). Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -235\/2. Let -d*p**2 + p - 1\/2 = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -326 + 664. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 5*k - 6. Let g(d) = 14*d**2 - 24*d**2 + 10*d**2 - 11 + 5*d**3 - 9*d. Let w(o) = 4*g(o) - 7*h(o). Give w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-15))\/(1\/3*(-6)\/6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 103042*d + 7408656.\nAnswer: 2*(d - 51449)*(d - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68383.\nAnswer: 7, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3240 + -2939. Let i(d) = -44*d**3 + d. Let u be i(-1). What is the greatest common divisor of k and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d + 433 + 43. Are d and -27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354551 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:12 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(4\/5)*j))*j**(9\/7)*(j**(-8)\/j)**14)**(-3\/52) assuming j is positive.\nAnswer: j**(6453\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 4*f - 12*y - 737, -188 = -f - 3*y. Calculate the remainder when 881 is divided by f.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2. Let a(i) = 4*i**2 + 943*i. What is a(j(w))?\nAnswer: 100*w**4 - 4715*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*o = -2*o + 36, -o = -5*d + 44. Suppose -3*g = -d*g + 10. Suppose t = g*t. Solve t = -2*l + 4 + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 160?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c + 2. Let b(j) = -j**2 + 7*j - 5. Let y be b(6). Let n be (-2 - -5) + -4 + y. Let d be h(n). Let a(s) = -s**2 - 2. What is a(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3\/3 + 3*s**2 + 5*s - 40. Let t(h) = 6*h**3 - h. Let w be t(-1). Determine u(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/(-6))\/12)\/(-10*(-6)\/(-8))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -224, -349, -472, -593, -712, -829, -944?\n\"Answer: w**2 - 128*w - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2. Let k(g) be the third derivative of g**4\/24 - 4*g**2. What is y(k(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44989816?\nAnswer: 2, 5623727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/65)\/((-116)\/(-870)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r + 35*r - 110*r + 36*r**2 + 41*r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0177 - 140266.\nAnswer: -140265.9823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -20 + -1 + -14 + 2 + 58 + -24\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104835, -419337, -943499, -1677309, -2620755, -3773825?\nAnswer: -5136507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 1\/8, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**3 + 13*q**2 + 700*q - 4*q**2 + 2*q**2 - 8*q**2 - 2*q**2 to y*q**3 + z + o*q**2 + t*q and give t.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 146 = -2078*g + 2072*g, -16*a = 3*g - 37 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16663779?\nAnswer: 3, 11, 19, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/42 + 38\/14. Suppose f*l - 10*l + 28 = 0. Is 51807\/77 - l\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -9*a + 858. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 374.6 - 374. What is the closest to 0.2 in 0.1, 0, h, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from ovvohvovvooovooovoho.\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 1. Let i be z(3). Let o = -1 + 3. Suppose -3*p + 22 = o*u + 3*u, -2*p = 3*u - i. Solve u*b = 0, 0*b = 5*v + b - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - 22. Let b = -45 - l. Suppose 4*d = b*d + 8. Calculate the greatest common divisor of d and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-2696\nAnswer: 242.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 9:28 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3406\/1642465 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmwsmwomymm. Give prob of picking 1 w, 1 o, and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**3 - 12*t**2 + 31*t?\nAnswer: 18*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1715+-41\nAnswer: -1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 3*q**3 + 1\/24*q**4 + 0*q + 1 - 19\/60*q**5 - 28*q**2. Find the second derivative of i(k) wrt k.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**2 + 1190*v + 3525 = 0.\nAnswer: -235, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*z - 24*z + 16*z)*(5 + 0 - 3)*(z + 0*z + 0*z).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -162694*u - 380. Is b(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u**3 + 38*u**2 + 50*u + 162. Calculate p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5. Suppose z = q + q - 8. Suppose -5*g = 2*a - 9, 5*g + 4*a - 4 = -1. Solve -g*c + q = -2*x - c, x = 2*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10. What is the third derivative of 6*y**2 + y**5 + 5*y**5 + 3*y**r - 3*y**5 wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 2*x - 3*x)*(1 - 2*x - 1) + 4769*x**2 - 258*x**2 + 6291*x**2 to h*x**2 + p*x + u and give h.\nAnswer: 10806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1253 - -1265. Calculate the remainder when -1 - 1 - 0 - -139 is divided by 19\/(152\/u)*(-80)\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = 2*q, -2*q - 3*q + 2*k = -25. Solve 0 = -3*x + v, q*x + v = -3*v + 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -15*o - 6. List the prime factors of s(-8).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 638722, 638719, 638716, 638713, 638710?\n\"Answer: -3*f + 638725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 50*h + 21. Let l be i(-17). Let j(d) = -d**2 + 4*d + 4. Let b(w) = 6*w**2 - 21*w - 21. Give l*b(n) + 21*j(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 0\/(-2) + 2. Which is the closest to -1? (a) 0.4 (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*c + 2)*(43*c + 104*c + 148*c - 2*c + 5*c - 2*c + (3*c - c - 4*c)*(0 + 3 - 2) + 0 + 0 - 2*c + c - c - 2*c).\nAnswer: -870*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205601 is divided by 14048?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 2*h - 3*h. Let p(y) = 21*y**2. Give x(p(v)).\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7)\/((-8)\/24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770459 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*q + 243*q = 11592. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/30 - 2*k**2. Suppose 5*w = 13 - 3. Let y(p) = -w + 2 + 2*p**2. Calculate y(d(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/20 + -2 - 42\/(-35). Suppose y = -a*g + 1, g + g + 5*y + 3 = 0. Is -3\/7 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j + 7. Let k(m) = -4*m - 7. Let v(i) = 4*k(i) + 3*q(i). Let u be v(-11). Let r(h) = -4*h + u*h - 4*h. Let p(x) = x**2. Give p(r(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.0064 - 4. Round m to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 10.13?\nAnswer: -6.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**14))\/p)\/p*p\/(p\/p**35)*p**(3\/2)\/(p*p**3) assuming p is positive.\nAnswer: p**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 2, p: 2, j: 1, y: 1}. Give prob of picking 2 m and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8) + (-6)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l**2 - 1765*l + 5070 = 0.\nAnswer: 3, 338\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 68033 (base 13) to base 7\nAnswer: 1414655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 31*w**2 + 67*w + 8. Let u be z(33). Solve 5*c + 21 - u = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -593*f - 1208*f - 521*f + 2712*f**3 + 180*f**3 wrt f?\nAnswer: 17352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54647 decades in years?\nAnswer: 5.4647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 7*c + 3. Let s be v(7). Suppose 0 = s*b - 328 + 10. Suppose 106 = 2*m - m + u, -m - 2*u = -b. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and 539454249.\nAnswer: 539454235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*k + 142*k + 2*k**2 + 7 - 92*k.\nAnswer: 2*k**2 + 204*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 7. Let h be v(-5). Let l be (-9)\/h + (0 - 3). Which is the third smallest value? (a) l (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14592.4383 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tguguyyyau. What is prob of picking 1 y, 1 u, 1 a, and 1 t?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2f (base 16) in base 7?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.7. Let w = 397\/7 - 57. Sort y, w, 5.\nAnswer: w, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - u**2 + 3*u + 4. What is d(-2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 986*j\/9 + 988\/9.\nAnswer: -2*(j - 494)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**3 + 5*g**3 + 9*g - 12*g**3 - 3 - 9*g**2. Suppose -2*x + 29 = 3*l - 7*x, 3*l = x + 25. Let w be f(l). Solve -5 = w*k + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + 4*z - 5. What is p(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 15, 5*r + 0*r - 5*x = 35. Which is the closest to 1\/3? (a) -1\/4 (b) 1 (c) 1.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 461831 + 204141 = -5*x, 4*l - 5*x - 887971 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3255)\/(-124))\/(-7))\/((-4180)\/1216).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-2*q + 9 - 9).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 8*x - 5. Let k be g(9). Suppose 2*p + 0*r = -5*r + k, -p + 3*r = -2. Solve z + p*q + 0 = -2, -3*z + 5*q = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -0.4, -0.1, -1, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -248 in decreasing order.\nAnswer: 5, -0.4, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1725 and 1495.\nAnswer: 22425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**5\/90 + l**3\/27 + 57*l + 1. Let m(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by -19673.\nAnswer: -504\/19673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 - t. Let k be b(-2). Let c(g) = g**3 + 5*g**2 + 4*g - 4. Let l be c(-4). Let j be -3*2\/l*-2. Is j greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 1470*q**2 + 18*q - 13230 = 0. Calculate q.\nAnswer: -3, 3, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98.06785 + 0.10761.\nAnswer: -97.96024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101211102220 (base 3) to base 15.\nAnswer: -313053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k**2 - 6. Let i(a) = 31*a**2 + 13. Give 6*i(d) + 13*p(d).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.6 take away -1074009718036?\nAnswer: 1074009718017.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 4 - 2*z**2 + 180*z - z**2.\nAnswer: -z**2 + 180*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-3) - -53 - 3. Let v be h\/(-8) + 3\/(-6). Let z(k) = 3 + 3*k + 0 + 5 - 4. Determine z(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -440*o**2*v + 7*o*v - o - v + 109756 wrt o.\nAnswer: -880*o*v + 7*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 161 = -7*b - 105 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(1\/(6\/(-9))). Find the common denominator of (51\/g + -4)*2 and 67\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 8, h: 5, r: 1, y: 2}. Give prob of picking 3 f.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 14. Let p be g(-4). Let d(v) = 2*v**2 - 13*v + 8. Calculate the least common multiple of d(p) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 6*x**2 + 87*x + 776. Calculate y(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - sqrt(65)*3) + sqrt(65))*3 + -3*2*sqrt(65))\/(4*(sqrt(45) + (sqrt(180) - sqrt(45)) + (sqrt(5) - (sqrt(500) - sqrt(500)*-1 - sqrt(5))))).\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20175 and 245808165.\nAnswer: 4035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -352, -342, -328, -310, -288, -262, -232?\n\"Answer: 2*h**2 + 4*h - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v + 4. Suppose 36*g = 37*g + 3. Determine b(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392 - 4*g**3 + 51*g**3 - 389 - 8*g**3.\nAnswer: 39*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144115 + 220860. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33560 and 30?\nAnswer: 100680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264 - -271. Sort -5, w, 0 in ascending order.\nAnswer: -5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 366, 722, 1278, 2100, 3254?\nAnswer: 4806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20012 + -11513. List the prime factors of o.\nAnswer: 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11607 + -696487\/60. Calculate the common denominator of -7\/10 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -173, -69?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4064005s in minutes?\nAnswer: 0.040106675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 1\/2, -0.69, -13 in descending order.\nAnswer: 1\/2, 0.12, -0.69, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3101*y + 6 - 7 + 3126*y.\nAnswer: 25*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-1 + 3 + 3)*-3)**2.\nAnswer: -540*sqrt(2) + 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186 divided by 1?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/8 - f**2\/2 - 5. Let i(q) be the second derivative of c(q). Let w(n) = -n. Suppose -s + 2*s = 2. Give s*i(g) - 5*w(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.1 + -8. Let s = 2.97 - -0.03. Let l = -2.96 + s. Is y bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa2b + -148?\nAnswer: -ab76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(22\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = -j + 55, 5*k - 2*j = 77. Let u = k + -13. Let o(d) = d - 4. What is o(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*r = -71, 0 = -5*n - 32168*r + 32184*r + 79 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2.02. Let l = 2652.8799988 + -2652.9. Let z = f - l. Round z to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (-13 - 0)) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and -9 + 467\/3 + 2\/(-3)?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394813393571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -2 (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 18*n + 7. Suppose 2*r - 6 = 0, 0 = -3*j - 4*r + 6*r - 60. Determine z(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -33. Suppose 0 = h*n - 4*k - 0*k - 239, -93 = -n - 2*k. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 358, -9845, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8964 = -70*t + 78396. What is the smallest common multiple of t and 3?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 0*n**2 - 3*n**2 + n.\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*v = 6 + 24, 6*p - 5*v + 50 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*b + 101*b - 311*b + 110*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 1:41 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687999 = -3*h - 3*s, -h = -64*s + 63*s - 229329. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 5, -31, -2\/7 in ascending order.\nAnswer: -31, -2\/7, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - 85?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.3. Let s = 1754\/61 - 5384\/183. What is the nearest to s in 0.04, t, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 195*r + 2210. Let o be l(12). Solve -4*f = 26 - o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmbhib. What is prob of picking 1 i and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:42 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3252 - 3249. Solve -7*i - 4*d + 28 = -l*i, -3*i = -2*d - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(182))\/sqrt(7)*-1*3)\/((sqrt(72)*3 - sqrt(72))\/sqrt(9)*6).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*i + 12 = 0, -4*i - 14 + 10 = 3*y. Suppose -48 = -3*v - 0*v. Let x = v + y. Solve 0 = 3*q - r + x, -30 = -2*q + 7*q - 5*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - k + 11)*(-k**2 - k + k) + 7*k**3 - 7*k**3 + 22*k**3 in the form u*k + a*k**2 + j + t*k**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -872 by -774.\nAnswer: 436\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -628?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 4. Let l = 3 + -6. Let s be (-2)\/1*(l + 1). Calculate r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:46 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 3*p - 13. Give m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7859 and 145?\nAnswer: 39295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.953229 tonnes in nanograms?\nAnswer: 9953229000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.1 + -3920355.\nAnswer: -3920300.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/2 + 18*a + 37\/2 = 0. What is a?\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 4*p**2 + p - 5. Let l = 45 - 40. Suppose -4*u - 15 = 9*c - 10*c, -5*u + l*c = 15. Determine m(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/11 (b) -11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -96, -144, -192, -240, -288?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -168437482 greater than or equal to -168437484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2561a9 + 3?\nAnswer: 2561b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.48361ng to milligrams.\nAnswer: 0.00002248361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -510050253 - -33?\nAnswer: -510050220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -3*q + g, -124 = -q - 4*g + 57. Let h(i) = 3 + 74*i + q*i + 38*i. Let m be h(1). What is m rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:41 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.16814379 rounded to two dps?\nAnswer: 9.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 0.38. Let p = -2\/3 + 1\/3. Let k be 6\/25*89\/(-267). Sort k, p, n in decreasing order.\nAnswer: k, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -21 - (-861 - -879).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/11 + 4\/22. Suppose 5*k = -j*q + 37, -25 = -k - 0*q - 5*q. Solve -3*n + 2*n = 0, -4*c + k*n - 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 44. What is the greatest common divisor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v = -4*q + 50*v + 13, 0 = -2*q + 2*v + 2. Sort 102, q, -14 in increasing order.\nAnswer: -14, q, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c34 (base 14) in base 3?\nAnswer: -10021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1112, 1038, 922, 764, 564, 322?\n\"Answer: -21*j**2 - 11*j + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524, -2593, -2.\nAnswer: -2593, -2, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 411?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1584 or 1805\/8?\nAnswer: 1805\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1245847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w + 71*w = 1405. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:58 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1048 in -0.84, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1219)\/(-11) + -7 + 474\/66?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r + 632. Determine d(25).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.42 + -0.3. Let s = 0.04 - c. What is s rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p + 1964*p**3 + 34*p - 2979*p**3 - 2750*p**3.\nAnswer: -3765*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Let v(w) = 6*w**2 - i*w**2 + 4*w**2. Let k(d) be the second derivative of d**3\/3 + 9*d. Give k(v(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**3)*z*z**(-13)\/z*z**(1\/13)*z**(1\/7) assuming z is positive.\nAnswer: z**(-890\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83586*a = -g - 2*g - 83581*a + 207, 0 = 2*g - 5*a - 208 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 353439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 110 + 20. Let r = 87 - j. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - b**2 - 5*b + 9. Let f be y(5). Let l = 12 + f. What is the highest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1196)\/2990*4\/(64\/310)?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v - 4*v)*(3 + 1 - 3)*(-v - 29*v**4 + 32*v**4 + 3*v).\nAnswer: -18*v**5 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.0107 and 1?\nAnswer: 13.0107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f*w**2 - 6*f*w - 53*w**2 + 42*w wrt w.\nAnswer: 18*f - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 57570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 1 + sqrt(147) + -1 - (-6*1*sqrt(147) - ((-1*sqrt(147) + sqrt(147))**2 + 2))).\nAnswer: 7 + 49*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100011012 (base 3) to base 2\nAnswer: -1101000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7)*-2*(-2)\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**2 - n - 1. Let f be h(-2). List the prime factors of (-1)\/(3\/(f\/1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 3)*(0 + -4). Let r = -18 - d. What is the highest common factor of r and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05340029 and -0.1?\nAnswer: 0.15340029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and -1881513?\nAnswer: -225781.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-32)*(-35)\/(-15)*-1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 8*i. Let p(m) = -m**2 + 2*m. Let j(y) = 4*p(y) + r(y). Let d(b) = -87*b. Determine d(j(w)).\nAnswer: 261*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 11:29 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33102*l**4 - 202*l**2 - 73348230 wrt l.\nAnswer: -132408*l**3 - 404*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 13. Let l = o + 9. List the prime factors of (-77)\/(-14)*(l - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:50 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-28)\/(b**(-3)\/b)*(b**20)**(10\/11) assuming b is positive.\nAnswer: b**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -525.9 - -526. Let g = 23 + -21. Sort 5, l, -4, g in increasing order.\nAnswer: -4, l, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 18. Suppose 8524*i - 8526*i = -18. Calculate c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - (-3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*l**2*y + 13*g**3*l*x**2*y + 465*g**3*y - 24975*g**2*l**2*x**2*y - g**2*l*x**2 - 2*l*x**2*y + 2*x**2*y wrt l.\nAnswer: -2*g**3*y - 49950*g**2*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/88 and -125\/64656?\nAnswer: 711216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4308455 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 - 6*n + (-78 + 98 - 59)*(3*n + 3*n - 5*n))*(-2*n + n + 0*n) to the form b*n + i*n**2 + u and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*i + 7323 = -2633 + 5017 - 7715 for i.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 4*u - 2. Give h(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -58, -103, -166?\n\"Answer: -9*m**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -10.4, -275, -2\/9.\nAnswer: -275, -10.4, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2989991 = 5*l + 3*j, -4*l + j = -0*j + 2392003. Round l to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccwwwcwwcwcwwccw. Give prob of sequence ccw.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 94070 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: Is 3905 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -1\/3*o**3 + 1 - 2*o + 0*o**2. Let g(q) be the first derivative of l(q). Let t(j) = j. Determine t(g(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:13 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -80.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s**3 - s**3)*(0*s + 0*s - 5*s) + (-1 + 1 + 1)*(-s**4 + 1 - 1 + (3*s**3 + 8*s**3 - 2*s**3)*(-5*s - 3*s + 3*s)).\nAnswer: -56*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(1 - f - 1) + (17*f + 15*f - 2*f)*(-2 + 4 - 4) - 7 + 7 + f + f + 0 + 0 + 3*f - 4*f + 2*f + (3*f + f - 2*f)*(2 - 2 - 2) + 4 - 4 - f.\nAnswer: -61*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 49*n**2 + 211*n + 58. Give o(53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*k**5 + 35085*k**4 + 224610*k**3 + 508420*k**2 + 458280*k + 119520 = 0. Calculate k.\nAnswer: -996, -2, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/4707164 and -28\/29.\nAnswer: 4707164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*z = -7, 5*z - 38 = -3*q + 7*z. Which is greater: q or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7774404 take away -8926976?\nAnswer: 16701380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -18. Calculate the remainder when 4 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - o + 24 = 0, 5*o = 10*n - 9*n - 8. Solve 2*q = -0*q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(133)\/(sqrt(7) - sqrt(847)*-3) + 0 + -1)**2.\nAnswer: -2*sqrt(19)\/17 + 4643\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 3*t**2 + 0*t + (-2 + 4*t + 2)*(1 - 2*t - 1) + 0*t**2 - 3*t**2 + 4*t**2 + (5*t**2 - 3*t**2 + 0*t**2)*(-2 + 1 + 2).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-3))\/14*90. What are the prime factors of -5*((-1428)\/q + 3)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b - 3. Let x be z(-7). Suppose -x*a - 2*s + 3 = -a, 27 = 4*a - 5*s. Solve 2*w + a*w = -2*n + 12, 3*w = -n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516, 744, 974, 1206, 1440, 1676?\nAnswer: 1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.35 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 5. Let p(v) = -v**2 + v + 1. Let k(x) = -p(x) - z(x). Let w be k(4). Let g = 9\/16 + -35\/48. Which is greater: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*p - 1289*p + 2 - 2 + 1031*p + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -384 - -110?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 5. What is i(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52235 + 101919. List the prime factors of z.\nAnswer: 2, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/5)*i**(1\/4))\/(i**(3\/4)*i\/((i\/((i\/(i*i**(2\/9)))\/i)*i)\/i)*i))**(-3\/47) assuming i is positive.\nAnswer: i**(-137\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - -1208\nAnswer: 1207.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1335357 and 32255?\nAnswer: 6676785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = i - 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3074*t**2 + 72*t + 3. Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from sooosoo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 - 9*p + 6. Let j be b(8). Put 5, 0.02, j in decreasing order.\nAnswer: 5, 0.02, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -711*s + 11204. Calculate p(16).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than -919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*g = -7*g, 2*d = -3*d - g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -1405686 - 13739314. What is k rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, e: 8}. Give prob of picking 3 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 9:20 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 72 = 5*z. Let t(p) = -p**2 + 23*p - 18. What is the tens digit of t(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56619.8 + -0.4.\nAnswer: -56620.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let n(i) = -5*i**2 - 6*i + 1. What is n(h) + 4*x(h)?\nAnswer: -5*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -20.418.\nAnswer: 510.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = -j, 0*j + 5*p + 11 = 3*j. Let t be j\/(-4) - 1\/(-1). Factor 0 - 3*o**2 + t*o + 9\/2*o**3.\nAnswer: o*(3*o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 + 9*u**2 - 15*u + 11. Let q(r) = -r**3 - r**2 + r - 1. Let t(z) = -b(z) - 6*q(z). Let t(n) = 0. What is n?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-7))\/(3 + (-215)\/70). Solve g*k + 7 = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008703684 to 6 dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 90 = 2*c + 50, 4*c = -5*s + 188. Suppose 4*x = 2*f - 28, -x - 3*x + 4*f - s = 0. Let q = x + 16. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815887763 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 374 + -366. Put l, -1, -5 in descending order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122000222 + -1?\nAnswer: 122000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-3685) - (-3825)\/(-184250))*-2.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*l - 2*c + 4*c, -2*l = -c + 4. Let b be ((-3)\/l)\/((-2)\/24). Let y(t) = -t**2 - 9*t + 9. What are the prime factors of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**6\/120 + m**5\/60 - m**4\/6 - m**3\/2 + 3*m**2\/2 + 2*m. Let n(f) be the first derivative of q(f). Calculate n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x = 45*x + 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1458181\/4 less than or equal to -364544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29850.9 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4913659 is divided by 192.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + -4)*106\/3. Suppose 2*m + 2*l + 2*l - g = 0, -2*m + 2*l = -182. Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2540, -217, -3, 5 in decreasing order.\nAnswer: 5, -3, -217, -2540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-239 + 89) - 140\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -567, -571, -587, -621?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w = -90. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-six fifths of a micrometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.5 (b) 2 (c) -9\/8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times -1875\nAnswer: -5812.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13513 + -13509. Solve -3*s - 22 = -i, -3*i = -p*s - 67 + 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24409262 at most as big as -24409262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8332 divided by -8332\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:30 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b**2 + 5 + 15*b**2 - 26*b**2 - 7*b**3 to q + l*b**2 + r*b**3 + h*b and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3438517\/25135 + 16260\/457. Let a be (1\/3)\/((-15)\/(-7884)). Let s = a - c. Find the common denominator of 115\/6 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = 0, -a - 3*c = -3. Solve 0 = a*o, -2*n - o = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36773.05 centuries to months.\nAnswer: 44127660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -443 - 4?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-84)\/(-8))*6\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -u + 9*b - 10*b, 41 = -5*u - b. Is 15 a factor of 44\/(-198) + (-3377)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2620?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5353 - 1\nAnswer: 5352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-2*-6*sqrt(34)*-1)\/((sqrt(1440)*2 + sqrt(10))\/sqrt(5)))**2.\nAnswer: -24*sqrt(17)\/25 + 3073\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 598 = s, -12*d + 7*d - 4*s + 1469 = 0. Calculate the greatest common divisor of 264 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (4 + (3 - 6))) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/27 and -23\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 t when three letters picked without replacement from {n: 2, t: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -256\/5*g - 192\/5*g**3 - 36\/5*g**4 - 64\/5 - 352\/5*g**2.\nAnswer: -4*(g + 2)**2*(3*g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51016360 is divided by 1889494.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.87 - -0.09. Let v = 38.04 + y. Let q = 34 - v. Which is the third smallest value? (a) q (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/7 - 8*t**3\/7 - 58*t**2\/7 - 88*t\/7 - 39\/7 = 0?\nAnswer: -3, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose -m*g - 3*g + 300 = 0. Let n = 20 + 0. What is the highest common divisor of g and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = 7 + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 6, v: 1, g: 2, f: 4, b: 4}. Give prob of sequence vf.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82892227 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*m - 12. Let r be 1 + -2 + m + -3. Differentiate 4 - 1 + r*w**3 - w**3 wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3430144 - 411032?\nAnswer: -4341231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 281005.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14618 is divided by 7305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 3*w**2 - w. Determine k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)\/(j*j*j*j**(2\/15)*j)*j*j\/j**(2\/9)*j**(1\/16)\/j assuming j is positive.\nAnswer: j**(-7411\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 489.5 + -489. Put 3, x, -13 in descending order.\nAnswer: 3, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85.67715 decades?\nAnswer: 10281.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/13 - 100*z**2\/13 + 1026*z\/13 - 2124\/13.\nAnswer: -2*(z - 6)*(z - 3)*(z + 59)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 3, m: 4, d: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -9 + (-57 - -9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 89*h - 160. Let f be x(2). Let s(w) = -w**3 + 6*w**2 - 7*w + 10. Let v be s(5). Let g = v + 5. Solve f = g*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -32*m**3 + 3*m**2 - 5*m + 18. Give k(-3).\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 13. Let n be f(13). Is 2\/33 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 1\/11 (c) -47 (d) -0.4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2159*i**4 + 2234*i + 1?\nAnswer: 25908*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*1\/(-2)*(-110)\/33. Suppose -4*c - 471 = v*m - 1375, 4*c + 896 = 5*m. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2*g**3 + g**2 + g**2)*(2*g**2 - 3 + 3) + 2*g**5 + g**5 - 5*g**5 + (-6*g**2 + 3*g**2 + 2*g**2)*(-g**3 + 3*g**3 - g**3) + 0*g**5 + 2*g**5 + 6*g**5.\nAnswer: 3*g**5 + 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 545*v - 2731. Let i(q) = -99*q + 546. Give 2*h(g) + 11*i(g).\nAnswer: g + 544","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*l = 2041 - 200, l = 5*y - 3077. Calculate the smallest common multiple of 246 and y.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-4)\/326)\/(-2)). Let t = -11 + 16. Suppose t*y = 222 + g. Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15, 32, 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-62)\/(-22) - 8\/(-44). Solve -1 = 4*q + b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470 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: Sort -4, -5, -7, 7, -3, -2.\nAnswer: -7, -5, -4, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:37 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -352 + 349 - (3 + -48)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -22026?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3\/(-6)*(-40)\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 17*b**2 - 33*b - 8. List the prime factors of r(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = h + 4*h + 19, 5*h + 25 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 3202130112120?\nAnswer: -3202130112103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kke when three letters picked without replacement from {e: 6, k: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/5 - 357*u**3\/5 + 529*u**2\/5 + 354*u\/5 = 0?\nAnswer: -1\/2, 0, 2, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*p = 300*p - 238 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1482)\/(-52) - 15)\/((-9)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637987.\nAnswer: 7, 91141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 56 + -58 + 19.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 3:18 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472080846 to the power of 1\/2, to the nearest integer?\nAnswer: 21727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1471707 or -1471706?\nAnswer: -1471706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b3c3 (base 13) in base 5?\nAnswer: -13422302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111744 by 582.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = -8. Let f(x) = -8 + 8 + 3*x + g*x**2. Calculate the remainder when f(-3) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 3\/2, -1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -9 - (3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7660*r - 2220*r - 2727*r - 2727*r.\nAnswer: -14*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2160 divided by 2160.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 0 + 0*c - 2\/9*c**4 + 2\/9*c**2 - 2\/9*c**3 + 2\/9*c**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -38. What is the first derivative of -2*g + s*g + 29*g**2 - 514 + 545 wrt g?\nAnswer: 58*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1267.8, 87, 1\/15.\nAnswer: -1267.8, 1\/15, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -328*8324\nAnswer: -2730272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -14. Let b = -1876.7 - -1876.3. Sort p, 10, b, 2\/9 in ascending order.\nAnswer: p, b, 2\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -5, -4.\nAnswer: -5, -4, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*v**2 - v + v + 49*v**2 to g + k*v + q*v**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 4*j**3 + 2*j)*(j**2 + 0*j**2 - 2*j**2) + (j + 4 - 4)*(18*j**2 - 18*j**2 + j**4 + 3).\nAnswer: 5*j**5 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 158*v**2\/9 - 18596*v\/3 + 60544\/9 = 0. Calculate v.\nAnswer: 86\/79, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:59 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 18*d**2 + 70*d - 54. Give o(-21).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22061 - 21947. Calculate the highest common divisor of 7144 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*j - 16, 4*l + l - 36 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 16168*w + 16172.\nAnswer: -4*(w - 4043)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/28 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*y + 33, 12 + 9 = -5*z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 109 = 10*j. Are j and 10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51064191 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2016 = 36*c. Suppose 5*i = 3*u - 1, -8*u - 5*i + c = -4*u. Solve -t - 3*v = -0*v + u, -20 = 5*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1514 + 2893. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72075858 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - -0.1. What is the third biggest value in w, -0.3, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 17 - 11. Let r(c) = c - 6. What is the remainder when 13 is divided by r(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 835876 by -417938.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - j**3 + 5*j**3)*(246*j - 160*j + 2 - 2).\nAnswer: 86*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/2 - 567*f**2. Let q(g) = 13*g. Determine b(q(o)).\nAnswer: -156*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - 335\/(-65) - 72\/(-39). Suppose 0 = 2*h - 0 - 4. Let s = -3 + h. Sort d, -3, s in ascending order.\nAnswer: -3, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255450, 4, 227 in descending order.\nAnswer: 255450, 227, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 58128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from aapahpp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63188, 0.2, -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - 4.99. Let k = 12\/17 - 94\/85. Let x = -19\/3 - -35\/6. Which is the nearest to 0? (a) k (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 286.2 - -100.1. What is y rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2399702*d - 2399702*d - 5*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - -0.4. Let y = 1.5204 - 0.5204. What is the closest to y in 3, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**5 - 490*n**4*s**3 + 3333*n**2*s**3 - n**2 + s**3 wrt n?\nAnswer: -420*n**2 - 11760*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21512 and 18823?\nAnswer: 150584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 65?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 - 9*a**3 - 5*a**2 - 7*a**2 + 23*a**2.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15) + 42\/(-315)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14422, -29292, -44162?\n\"Answer: -14870*o + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.1808105 rounded to zero decimal places?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 + 7*d**2\/2 + 9*d - 1. Let s be r(-6). Suppose -5*z + 4*v = -4, 3*z - 7*v = -s*v + 4. Solve z*w = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 386. Round t to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959112251?\nAnswer: 3, 101, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 2 = 2*y - 10*j, 0 = 2*y - 5*j + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 66 = -0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o - 1\/24*o**4 - 3*o**2 + 1\/240*o**5 + 1\/120*o**6 - 1\/24*o**3 + 0. Factor i(v).\nAnswer: (v - 1)*(v + 1)*(4*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5279\/4220 - -1\/1055. What is the third smallest value in p, -970, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9196\/605*150\/(-120).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.2 + 22. Let u = 34 - 33.6. Let d = f - u. Sort -3, d, -4, 0.\nAnswer: -4, -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(8\/3))\/d)**48)**(-1\/64) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 4 + 4)*(3*c - 5*c + 3*c)*(-3 + 41 - c**2 + 0*c**2) as j + z*c**3 + u*c**4 + b*c**2 + v*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.14 + 444137.\nAnswer: 444141.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 + -245?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.0073 to 0 dps.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*t**5 + 4*t**4 + 54678*t**3 + t**2 + 12955994*t?\nAnswer: 2700*t**2 + 96*t + 328068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -3, 44.\nAnswer: -3, -0.6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-855)\/(-3465) + -2*(-3)\/33. Solve 0*b + u - 3\/7*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 355, 1402, 3145, 5584, 8719, 12550, 17077?\n\"Answer: 348*u**2 + 3*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 711065\/2 + -355532. Factor 0 + t*i**2 - 35\/2*i.\nAnswer: i*(i - 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-0.0374\nAnswer: -0.003366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**4 - h**4 + 61*h**3 + 22 + 55767*h - 55767*h - 2*h**4 to the form j*h**2 + w + v*h + q*h**3 + r*h**4 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2219385 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 20516893\/6 and 3419482 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 - -325. Let t = x + -187. Suppose 0 = 4*m - 0*m - 16. What is the third smallest value in m, t, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 + 21\/12 - 0. Suppose -l*p = -2*u + 16, u = 4*u + p - 28. Suppose o - 25 = -4*o. Calculate the smallest common multiple of o and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 - 0.11. Let z = -2 - f. Let m = 0 + 0.3. Is m >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7704591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 285.8 times -0.01\nAnswer: -2.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose -s = -3*z + 4. Suppose 1 = i - z. Solve -3*g = 3*n + 24, 3*n + i = 2*g - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40001634 by 6.\nAnswer: 6666939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) 32.6 (c) 96 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5\/5 + 94306*f**4\/5 - 1111466902*f**3\/5 - 1111938482*f**2 = 0.\nAnswer: -5, 0, 23579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:34 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - r**2. Let d be (-2)\/(-7) - 63\/49. Let c(x) = 6*x**3 + 5*x**2 - 2*x. Let l(h) = d*c(h) - 5*j(h). What is the second derivative of l(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 6:10 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-114)\/(-9)*23\/(-2). Let n = y - -144. Let t = -4 + 2. Put t, n, 5 in descending order.\nAnswer: 5, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u**3 - 650*u**2 - u + 103. Calculate l(50).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Suppose 3*l - 2*l + 2 = 0. Let k = 0 - l. Let x(n) = -2*n**2 + 4*n**2 - 3*n**k. Give x(o(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = m, 3*a = -5*m + 25. Let y = 7 + -2. Solve -y*p - 4*x + 17 = -a*x, -2*x = -p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -28 + 60 + (-8 - (-2 + -1))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 778921 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 68 = -0*b. Let f(h) = 3*h**2 + 10*h - 18. Let s be f(7). Let p = b + s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 12:07 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*w = -14 - 8, w = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5 + 9079\/4536 + (9 - 5) + -11 and 107\/240.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 12440*f**2 + 19331754*f + 38713284.\nAnswer: 2*(f - 3111)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.6 to zero dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461 + 734. Calculate the remainder when t is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -29. Suppose 7*c + m = 10*c. Suppose 11*o - c*o - 480 = 0. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-2 - -3) - (-120)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3894 is divided by 71?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**4 + f**3 - f**2 - f - 1. Let v(p) = p**4 + 4*p**3 - 4*p**2 - 9*p - 4. Let l(c) = 4*r(c) - v(c). Find the second derivative of l(k) wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 12 = 5*m, -1227 = 4*t - 3*m - 1207 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 30. List the prime factors of (-2)\/(-9) + 237\/k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 505 = -5*x, x + 0*x = 3*z + 87. What is the highest common divisor of 34 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/12 and -71\/364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108958231 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: -2370 divided by -9\nAnswer: 790\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 762 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1492 = -35608. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + l + 97*l + 14*l - 4*l + 4*l - 2*l - 4*l + (-1 + l + 1)*(3 - 1 - 1) - l + l + 3*l - 3*l + 2*l + 0*l to the form j*l + r and give j.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 3:47 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10*r**3 - 3*r**2 - 2*r. Let w be s(-1). Solve -3*n = -0 - w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532619 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633 by 429.\nAnswer: 211\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 272591?\nAnswer: 27258a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 31043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13518 + -13500. Let p be (-3 - 0)\/((-1)\/15). What is the greatest common divisor of c and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 57 = -2*i - 71, -5*i - 27 = -3*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34902989.12856 + 0.04?\nAnswer: 34902989.16856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -459023304 divided by -358?\nAnswer: 1282188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15906 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44003865 - 0.699966\nAnswer: -44003865.699966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -6 - 55\/(-5). Sort -1, w, -203, 4 in descending order.\nAnswer: 4, w, -1, -203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*3*12\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 + 117. Solve 7*y + x*y = -21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25392341 to four decimal places.\nAnswer: -0.2539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 9. Let i be o(-14). Put -3, i, -1, 2 in descending order.\nAnswer: 2, -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3131, 3158, 3187, 3218, 3251, 3286?\nAnswer: 3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*k**2 + 2316*k**2 - 768*k**2 + 61*k**3 - 45*k**3 - 782*k**2.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25847 - 10680 + 3168 = 1367*i + 3550 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*s + 11 + 58 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.1, -2, -0.54?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 - 2*b**2 - 3*b + 9. Let i(q) = q**3 + q - 1. Let x = -21496 - -21497. Calculate x*m(h) + 2*i(h).\nAnswer: -3*h**3 - 2*h**2 - h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.39 - 372.39. Let j = f - -368.8. Which is smaller: -100\/11 or j?\nAnswer: -100\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -5*z - 5*r, 982*z + 4*r + 30 = 980*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141155 (base 7) in base 12?\nAnswer: 107851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -26 - 17 + 43 + 2*i. Let s(v) = 19*v**2. What is s(h(x))?\nAnswer: 76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 + 3*c - 2. Let v be q(1). Let m be 1\/(-3) + v\/(-18). Suppose m = -2*d - 3*d + 10. What is the smallest common multiple of d and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.55\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6071 and 56160.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -5.4. Does w = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*a + 2*a + b, -a = -4*b - 8. Solve -a*v - 4 + 16 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**4\/12 - 11*r**3\/6 - 2*r. Let k be q(-10). Suppose -k*c + 346 = -414. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -60. Suppose 4*x = x + w + 31, 2*x + 4*w - 16 = v. Let o(y) = -y + 9. Calculate o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 303732 and 310635.\nAnswer: 13667940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*l - 2*m, 2*m + 6 = 5*m. Suppose 1 - l = -k. Put k, 0, -1 in descending order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 4}. What is prob of sequence bss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 7.3 (b) -2\/5 (c) 0.1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 1641*k**2 - 7378. Let i(n) = n. Give o(i(r)).\nAnswer: 3282*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 times -0.2?\nAnswer: -75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 137.99189 and -0.034.\nAnswer: 137.95789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 115. Suppose 0 = -2*b - 0 + 2, 0 = 5*o + b - 1381. What is the greatest common divisor of r and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7413\/(-7060))\/(21\/48).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 106*c**3 - 305*c**2 - 412*c.\nAnswer: -c*(c - 103)*(c - 4)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m + 2*m + 21*m + 22*m - 5*m - 99*m**2 wrt m.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412 and 8446?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hic when three letters picked without replacement from {r: 9, c: 1, i: 7, h: 1}.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -8\/9, -1\/6, 3, 2\/17, -59 in decreasing order.\nAnswer: 3, 2\/17, -1\/6, -0.2, -8\/9, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2179329 and 46737?\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 10 (c) 401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-1224)*54\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/9 - 18\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13365781 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -494, -7?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + (-6 + 47 - (60 + 21)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 222, 42, -344, -1008, -2022, -3458, -5388?\n\"Answer: -12*l**3 - 31*l**2 - 3*l + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 93010 = -94290 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 17 + 12 - 66 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q + 0*q = 78. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2. Let v(z) = -3*z**2. Let d(g) = 4*g**2. Let x(i) = 4*d(i) + 5*v(i). Give x(w(b)).\nAnswer: 49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 3\/6141728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1806 divided by -43\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38833 and -4.4?\nAnswer: -170865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.15 + 1.7. Let l = j - 0.15. Is 0 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:40 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**3 + 4*b**2 - 6*b - 3*b**2 + 4*b**3 - 2. Let q be g(-4). Let k = q - 55. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119482 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*l**6*p + 128759*l**5*p + 9*l**2*p - 10*l*p - 148*l - 244*p wrt l?\nAnswer: 21720*l**3*p + 7725540*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 7*o + 3*o - o**2 - 1 - 10*o. What is j(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**(-2\/127)\/((h*h**(1\/3))\/h**0)*(h**(-7)\/h**(-2\/9))**(-39) assuming h is positive.\nAnswer: h**(100205\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 2*u**4 - u**4 + (-4*u**2 - 6*u**2 + u**2)*(-22*u**2 - 14 + 14)*(-1 - 2 + 1).\nAnswer: -398*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 174, -95, -1, -2, -5, 9 in ascending order.\nAnswer: -95, -5, -2, -1, 0, 9, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*9*4165\/(-238)*(-6)\/5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70880355 a multiple of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22528675933 and 0.22.\nAnswer: 22528675933.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*((sqrt(891) - -1*sqrt(891)*-3) + -4 + -1*sqrt(891)))**2*-2 + -2.\nAnswer: -16072 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*y + 3*y + 1 = 0, 5*x - 3*y = 9. Let p be ((-1)\/6)\/(4\/(-24)). Let s be -5*(-3)\/((-9)\/(-3)). Put p, s, x in descending order.\nAnswer: s, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 866*z + 20993 = 873*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 64\/6)*(-7 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310 - 97069.65?\nAnswer: -99379.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*q = -3*q, 4*w = -q + 25. Solve 3*r + 3*i = -r - 8, 0 = w*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39547 and 1136.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/60*3)\/((-2)\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/3 - 52955*q**4\/3 - 17652*q**3.\nAnswer: q**3*(q - 52956)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 273*r - 2113. Determine l(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529010 divided by -29.\nAnswer: -529010\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g + 109*g + 185*g - 7*g - 135.\nAnswer: 346*g - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -2\/11, 0.0846, 3, 0, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2747730281 to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3341 and -2.547754.\nAnswer: 3338.452246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280255?\nAnswer: 5, 23, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 1\/12*g**4 + 12*g**2 - 2\/15*g**5 + 0 + 1\/120*g**6 + 0*g - 5\/3*g**3. Give h(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - 36*d**2 - 11*d - 86*d**2 + 21*d**2 as i*d**2 + h + x*d and give i.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 325*m**3 - 21*m**2 + 6*m + 23. Is w(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 15*a - 155040. Suppose a = 19*b - 3*b. Suppose -11883 - b = -7*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 554954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 3752*l**2 - 2 + 4*l + 3754*l**2 - l**4 - 3*l**3 as j*l + f*l**2 + b*l**3 + r*l**4 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1168 (b) -9 (c) 13 (d) 1\/3 (e) 15\/2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*n + 6 = 0, d + d = 2*n. Suppose 3*m + 29 = d*z + 6*m, 2*z + m - 23 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*t - 29*t. Let z = 41 + -39. Let y = -8.7 + 8.6. Which is the nearest to y? (a) -5 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**4 - r**3 + 2*r**2 + r - 1. Let h(j) = -7*j**4 + 2*j**3 + 96*j**2 + j - 1. Let v(q) = -h(q) + t(q). Find the third derivative of v(c) wrt c.\nAnswer: 144*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986273 divided by -101?\nAnswer: -2986273\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*v = 6, 2*x + 5*v + 13 = 1. Do x and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5\/4 (b) 2\/9 (c) -588 (d) -2\/13 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2893776 and 21432.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100\/7 + 863\/56. Let l be -3 + (-314)\/(-144)*3. Let i = u + l. What is the common denominator of 59\/33 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**2 + 139*g + 575. What are the prime factors of m(58)?\nAnswer: 3, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d + 22 + 53 = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = 0. Suppose 20*x - 4 = -4. Solve r = -2*b - x*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 3*l**2 - l + 2. Suppose 60*r - 6 = 63*r - n, -3*n = -3*r - 6. Let t(c) = -8*c**3 - 13*c**2 - 4*c + 9. Determine r*t(k) + 9*q(k).\nAnswer: -2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 5. Let u be b(-4). What is the remainder when 62 is divided by 16 - (u + -1 + 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11199 and 23.2.\nAnswer: 259816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7*f - 10*f + 156, 3*o - 5*f = 196. Suppose -76*y = -o*y - 76. Solve l = y - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 2*m + (m - 4*m + 4*m)*(-2 + 0 + 1) + m + 3*m - 2*m + 2*m - 4*m + 4*m - 4*m + 2*m + 4*m - 2*m + 3*m - 2*m - 1 - m + 1 + 8*m - 13 + 13.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**5\/60 + 2*n**4\/9 + 7*n**3\/6 + 3*n**2 - 32*n + 20. Let b(t) be the first derivative of d(t). Suppose b(f) = 0. What is f?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 22 = -30. Let m be r\/1 - -4*(-37)\/2. Let g = m + 74. Solve -2*q - g = -5*x, -2*q + x + 3*x = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 5 (c) -0.4 (d) -2\/11 (e) 0.1 (f) 0.03 (g) 14609\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 14 = -13*h. Solve -3*d - 12 = -3*r, -d + 0*r = r - h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.111707 rounded to two dps?\nAnswer: -17.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 10. Determine z(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9\/75*1\/4*20\/6\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*c = 2*w + 19, 0 = -5*w + 5*c + 105. Suppose o - 478 = w. What is o rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 5. Let s be l(-3). Suppose -5*b = -b - 16. Suppose -12 = -3*i + i - 3*d, -s*d = -b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4 - 16*a**2 - 1631*a + 0 + 1391*a. Give y(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222145 is divided by 17084?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 1, n: 3}. Give prob of sequence nnnt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -85586?\nAnswer: 42793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m - 1484 = -91*m + 9*m + 836 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*v = -3*b + 2, -b = -2*v + 7. What is the nearest to 2 in 1\/5, b, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 39 - s**4 + 12 - 4*s**3 + 19 + 16*s - 20. Determine b so that a(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364754 by 82.\nAnswer: 182377\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3526920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -22 + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 79) + 12 + 109.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 690767\/5871086 - 3\/345358. Find w such that -6\/17*w**2 - 10\/17*w + 2\/17*w**3 - 4\/17 + d*w**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 16 = 12*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 17, 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700 a factor of 180393500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 329972, 2 in increasing order.\nAnswer: -19, -2, 2, 329972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 646196.5.\nAnswer: -2584786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**4 + 6*v**3 + 5*v - 5. Let b(i) = 3*i**4 + 3*i**3 + 2*i - 2. Let q(f) = -5*b(f) + 2*x(f). Suppose q(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*t + 0*t**2 - 5*t**2 + 430*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.1, 45.4, 3, 2\/5, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25405055 and 0.8.\nAnswer: -20324044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/11, 5, 1.7, -84, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.8 + -0.2. Let h = 52317184 + -52317190.00000176. Let g = h - w. Round g to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450\/60*(-4)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74806415 a multiple of 1439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + s**2 - 2*s**2 + (0*s + 0*s - s)*(1 + 2*s - 1) - 7*s**2 + 4*s**2 + s**2 + (-100110 + 169*s + 100110)*(2*s - 3*s + 0*s).\nAnswer: -172*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ba (base 15) in base 10?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149467?\nAnswer: 137, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oeooooeo?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(3\/7)\/d*d\/d**(3\/4))**(-6\/13) assuming d is positive.\nAnswer: d**(-57\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 356609*a**2. Let m(x) = 53*x. Give m(p(i)).\nAnswer: 18900277*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:46 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1346 + -1346.01098. What is t rounded to four dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28258*s**2 + 24045*s**2 - 16058*s**2.\nAnswer: 36245*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 40*v**2 + 5636*v - 253. Calculate n(64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 3. Calculate the smallest common multiple of q(3) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/2)*(o\/((o\/o**(-7)*o)\/o))\/o*o\/(o*o\/o**(-2)*o)*o\/((o*o**(-1\/10)*o*o)\/o) assuming o is positive.\nAnswer: o**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/4 + 50973*h**4\/4 - 432734869*h**3\/2 + 2442190113685*h**2\/2 + 176931296814027*h\/4 + 172046051065945\/4 = 0.\nAnswer: -35, -1, 17003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2846\/261 - (-890)\/(-8010)) + (-22)\/2.\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1870 and 3396430?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/10 + (-12)\/(-20) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/466222641?\nAnswer: -4\/466222641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19.26089ng?\nAnswer: 0.00001926089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 686074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 11 in ascending order.\nAnswer: -7, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 2 - 1 + 4 + (3*m - 1 + 1)*(5 + 0 - 4) in the form v*m + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.057 + -0.057. Let f = -0.09 + 0.99. Let c = b - f. What is the biggest value in c, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -3, 144, 3, 8.\nAnswer: -165, -3, 3, 8, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2747 - -4.7253. Put 4, -6, 26, a in decreasing order.\nAnswer: 26, a, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 29*y**5\/20 + y**4\/4 - 5*y**3\/6 + 3*y**2\/2 + 19*y. Calculate the smallest common multiple of t(1) and 3\/9 - (2 - 231\/9).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(180) + -1 - sqrt(180)) + -2*(sqrt(180) + sqrt(180)*3 - sqrt(180))**2.\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*k - l - 0*l, -4*l = 3*k. Factor 0*t**4 + 4\/13*t**3 - 2\/13*t**5 + 0 + k*t**2 - 2\/13*t.\nAnswer: -2*t*(t - 1)**2*(t + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69671745894 - 3?\nAnswer: 69671745891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -29a5bc7?\nAnswer: -29a5bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 28566, 59\/5, -2\/13 in decreasing order.\nAnswer: 28566, 59\/5, -2\/13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {d: 1, r: 1, f: 1, c: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1291, 712, -251, -1592, -3305, -5384, -7823, -10616?\nAnswer: -13757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*f + 41 - 11, f = 4*c + 99. Let y = 43 + c. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let x = -8 + 6. Let v = x - -1. What is the biggest value in c, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52202539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 349568536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 68*o - 52. Determine r(21).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 5*s**2 - 6*s + 5. Let d = -21 + 25. Let w be (-3 + 2)\/((d\/11)\/(-4)). Suppose -w*r = -9*r - 8. Calculate v(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)\/w)\/w)\/w*w*w**(-5))\/(w**(7\/3)\/(w**1\/w))*(w**(-4\/7)\/w*w*w*w**6)\/(w**(7\/4)\/w**(-7)) assuming w is positive.\nAnswer: w**(-1231\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26361 (base 7) to base 2.\nAnswer: -1101110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/5, -1\/11, 3513, 2\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 3*f + 85, 5*t - 250 = -3896*f + 3911*f for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 4*q**2 + q**2 + (2*q - q + q)*(-2*q - 4*q + 4*q) + 3*q**2 - 7*q**2 - 2*q**2 - q**2 - 3*q**2 + 2*q**2 + (0 + 2 - 3)*(q**2 - 4 + 4).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 7*x - 144. Calculate t(-12).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -798 divided by -2.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10977592 is divided by 1009.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 - 157 + 80 + 110 - 25*o**2 wrt o.\nAnswer: -3*o**2 - 50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + 0*m**3 - 3*m**3)*(-m + 4*m - 2*m) + 2420*m**4 + 0 + 0 + 25172*m**4 + 6678*m**4 to the form p + c*m**3 + w*m + h*m**4 + g*m**2 and give h.\nAnswer: 34269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14293 + -14167. Which is bigger: t or 106?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/7)\/((-1)\/(-11)). Let u = c - 10. What is the second derivative of u*a**4 + 63*a + 2 - 2 - 60*a wrt a?\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 13260, -10.\nAnswer: -10, -1, 2, 13260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/10*((-97308)\/(-147552) - (-1)\/(-29)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**5 + 7*p**4 - 6*p**3 - 4*p - 32. Let h(g) = -13*g**4 + 10*g**3 + 7*g + 64. Let w(k) = -3*h(k) - 5*o(k). Find the second derivative of w(d) wrt d.\nAnswer: -100*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1190231*c**5 + 26127*c - 4 wrt c?\nAnswer: -23804620*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 153344, 306640, 459936, 613232?\n\"Answer: 153296*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/120 + f**5\/30 + 3*f**4\/8 - f**3\/2 + 6*f**2. Calculate the lowest common multiple of g(4) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9671)\/1527*(-189)\/114.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 + 27200*r**2\/9 + 160802*r.\nAnswer: -2*r*(r - 13653)*(r + 53)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*c, 3*t = -577*c + 579*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230 - -583. Let y = -191 + f. Calculate the remainder when y is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868905 is divided by 1044?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.95 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2629736845 to the nearest integer?\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12917*f - 129168. Let i be m(10). Suppose -20*b**4 + 5\/3*b**5 - 30*b**i + 0 + 0*b + 145\/3*b**3 = 0. Calculate b.\nAnswer: 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 7*k**2 + 10*k + 13. Let n be w(-8). Let s = -1 - -2. What is the second biggest value in s, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -11 - 1, 11 = -w - 5*s. Find the common denominator of -69\/20 and w - (3 - (-166)\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exttbbb. Give prob of picking 1 x, 1 t, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 20\/(6 - 1). Which is smaller: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:06 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720))**2 - sqrt(720)) + -4.\nAnswer: -12*sqrt(5) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 79. Let g(l) = -3*l**3 + l**2 - 7*l - 19. List the prime factors of g(j).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(27) - sqrt(81)\/sqrt(3)))*-5 + sqrt(36)\/(sqrt(96)\/sqrt(8))*-1)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 2*q - 2*q + 4*q + 9*q**2. Let n(c) = 2*c**2 + 3. Let u(m) = 1. Let d(a) = n(a) - 3*u(a). Determine h(d(i)).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {v: 2, z: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 25*s = -26*s - 33, -3*y + 5 = -5*s. Solve 0 = 3*c + y*l - 30, -4 = -c + 3*l - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 21 + 21 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 2)*(-o - 3*o - 15*o) + (-2 + 3*o + 2)*(-4 - 4 - 2) + (0 - 2 + 0)*(o + 0*o + 0*o) as y*o + t and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 49506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-1\/5)*(m**(4\/3)*m)\/m*(m\/m**24*m)\/(m*m*m*m**(2\/15)\/m*m) assuming m is positive.\nAnswer: m**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69 + 73*v**3 - 28 + 33 wrt v?\nAnswer: 219*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 times 0.3?\nAnswer: 32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((7 - 13)\/(-24))\/((-1)\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 5*y + 147. Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440023914 by 6.\nAnswer: -73337319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-32)\/(3456\/135)). Let w = 0.1 + 0.1. Which is the closest to w? (a) 5 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 384*o**2 + 752*o.\nAnswer: 4*o*(o + 2)*(o + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Let l(j) = -3 - 3*j + 0*j + z + j. What is the units digit of l(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7259 - -7259.0100075. Let a = i + -0.01. What is a rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -14. Let y be (-3)\/n + (-2)\/70. Suppose 6*t**3 - y*t + 0 + 32\/5*t**5 - 4\/5*t**2 + 64\/5*t**4 = 0. Calculate t.\nAnswer: -1, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812616971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407598, -1632094, -3672922, -6530082, -10203574, -14693398, -19999554?\nAnswer: -26122042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 2*p. Let l(z) = 3*z**3 + 3*z**2 - 5*z. Let x(r) = 5*r**3 + 5*r**2 - 9*r. Let k(w) = -7*l(w) + 4*x(w). Give -2*k(h) - n(h).\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -309 and -5900.\nAnswer: 1823100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201005 and 84560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18328 - -1?\nAnswer: -18327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -398\/5, -3, 1, -3.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-20) + 343\/4. Suppose -342 = -4*a + s. Suppose 4*f - 16 = 5*y + a, -15 = -f - 4*y. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 3*s)*(-3*s - 2*s**2 + 3*s) - 4 + 4 + 2*s**3 - 3*s**3 - 10 + 9*s**3 + 2.\nAnswer: 14*s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359820466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221 (base 3) to base 14.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 10, -2, 5, -4966 in increasing order.\nAnswer: -4966, -2, 5, 10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540 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: Simplify (5*(-2 + 2*sqrt(3) + 1))**2.\nAnswer: -100*sqrt(3) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-15))\/((-12)\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1607 - -1619. Solve -5*f = -4*r - 0*f + 19, 0 = -4*f - v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 - 248*g + 49. Is 12 a factor of f(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024 = 12*v - 1544. What is the remainder when v is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9131 plus 0.5?\nAnswer: 4.4131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(176)*6.\nAnswer: -5 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9003*s + 18. Suppose 3*b = -2*b + 3*v + 33, b = -2*v + 4. Let k be z(b). Round k to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798246637 to the power of 1\/2, to the nearest integer?\nAnswer: 28253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 40. Let c(l) = -l + i + 6*l + 2*l - 4*l. Let b(q) = -7*q - 5. Calculate 4*b(r) + 10*c(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uppyeppepe. Give prob of sequence eu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 1. Let o be c(5). Suppose k = -o*u - 0*u + 241, 648 = 3*k - 3*u. Let b = k - 141. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458 smaller than 2452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 1\/40*z**5 - 1\/4*z**3 - 17*z - 2*z**2 - 1\/160*z**6 + 0 + 1\/32*z**4. Suppose l(p) = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u - 3. Let s = 6 + -8. Let x be j(s). Suppose 6*m = 4*m + 8, -x = -3*i - 2*m. Let r(g) = -1. Let n(t) = -t - 2. Give i*r(v) - 2*n(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 34 + 20 = 0. Suppose h - 4*f - 9 = -1, 5*h - q = -2*f. Let o be ((-3)\/(-5))\/(h\/(-8)). Are o and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4556848 - 4\nAnswer: -4556852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 4. Let u = -5 - -2. Let f(n) = 5*n + 9. Let r(t) = u*f(t) + 7*k(t). Let s(g) = -6*g + 7. Give -14*r(q) + 2*s(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + (sqrt(119)*2*5 - sqrt(119)))\/(4*sqrt(63) + sqrt(7)))**2 - -4*-6*sqrt(833)*-6.\nAnswer: 2057\/169 + 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -101.9. Suppose 69 = -5*b - k - k, 0 = -b - 3*k - 19. Let z = 14 + b. What is the nearest to z in -0.3, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3452 by -1726.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 199651443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 2*o + 3. Let y be u(2). Let z = 9 + y. Which is the nearest to -1? (a) 2\/11 (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 42*k**2 + 34*k - 64. Is a(-45) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 33*f + 81. Let w be o(6). What is the highest common divisor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*j = -17, -2*j - 593 = -3*a - 586 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:05 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -3) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -827.31 + 827. Is d greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12) + 27\/108.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/9 - 4*o**3\/3 - 6*o**2 - 12*o - 9.\nAnswer: -(o + 3)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(357) - sqrt(357)) + sqrt(357) - sqrt(357))\/sqrt(7))\/(-4*sqrt(48)) + 1.\nAnswer: -sqrt(17)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229783.688 microseconds in weeks?\nAnswer: 0.0000020333725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 2*g**2 + 3*g**2)*(-616 + 2107 + 2366 + 6369 + 2362).\nAnswer: -25176*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 55, -2\/5, 0.5, 3244?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2526 - -2915. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*d + 4)*(12 + d + 56 + 0).\nAnswer: -2*d**2 - 136*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b + 24. Let t = b - -60. What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-28)*2)\/1. Let h = -1.864 + -0.136. Which is the third biggest value? (a) h (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k - 20*k + 26*k**2 - 5*k**2 + 38*k.\nAnswer: 21*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-3*1) - 2. Let u be (-4)\/11*(-2 + -9). Solve -z + 3*g + 3 = u*g, -9 = -n*z + 4*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8088724 divided by 2?\nAnswer: 4044362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = -n. Let q = 2 + 1. Solve -14 = -q*l + y, -2*y - n = 3*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662784325.\nAnswer: 5, 7, 79, 191, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11412431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/33480 and -99\/10850?\nAnswer: 1171800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*v - 143, 3*t = v + 2*t - 47. Let o = -24 + v. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 4*a**2 + 4*a - 1. Let w be 11\/66 - 31\/6. Let m be p(w). Suppose m = o + 4. Let b(y) = -y - 12. Calculate b(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/20)\/((-24)\/(-50)) and -43\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:46 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0063 * 414\nAnswer: 2.6082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124196 by 4.\nAnswer: -31049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z + 1073 = -607. Let m be (8 - (-234)\/z) + (-74)\/(-5). Suppose -5*s - v + 160 = 15, 3*v + 75 = 2*s. Calculate the greatest common factor of s and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 92768?\nAnswer: 46384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.7 (c) -0.06522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w + 2. Let a(n) = 460*n + 35. Let g be -5 + ((-27)\/(-9) - -4). What is g*a(y) - 35*t(y)?\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 26 + -22 + (57 - 56) + 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1178)\/(-106) + (-88)\/8. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74363033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2227, 4454, 6691, 8944, 11219, 13522, 15859?\nAnswer: 18236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 37. Let t(p) = -p. Let j(d) = -3*d - 1. Calculate q*t(f) - 3*j(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 34. Suppose -s - 2*n = -c, 3*s - 78 = 2*s + 5*n. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:45 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence das when three letters picked without replacement from yyryadadkysddyayya?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {y: 2, l: 4, w: 2, r: 1, d: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, 2.547, -3, 1\/12, 1, 0.5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + (-12 - -57) - -15?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*u**2 + 74*u**2 - 2*u**3 - 2*u**4 + 1 + 0*u + 0*u as l + g*u**4 + p*u**2 + k*u + q*u**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (27 + -9)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = v. Suppose 264 = 10*l - v*l. Calculate the remainder when l is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*v**2 + 133*v**2 + 34*v**2 - 16*v**2 + 25*v**2 - 5 to p*v**2 + w*v + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*b - 108*b = 4162. List the prime factors of b.\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 + 2)\/((-2)\/(-6)). Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88443 - -21?\nAnswer: -88422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 98*h**2 + 42*h + 4. Let o(x) = -2*x**2 - x + 1. Let k(a) = -2*o(a) + r(a). Find the second derivative of k(g) wrt g.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -305766*(-3)\/6 - (0 - -6 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200220 (base 3) to base 7.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14432*o**4 + 14755*o wrt o?\nAnswer: -173184*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 9*n - 10. Let p be x(-5). Let k(f) = f**2 - 2*f. Let z(g) = 2*g**2 - 4*g. Give p*k(m) + 2*z(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311535306.\nAnswer: 2, 3, 31, 558307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqdy when four letters picked without replacement from ysqddddy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26590.\nAnswer: 2, 5, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.383, -1, 4\/9, -0.1, 1, -0.37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1410 and 9888330?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3137855 to five dps.\nAnswer: -0.31379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-63)*(-135)\/150)\/(4\/170).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1554\/(-644) + (-2)\/23?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3034224 - 241?\nAnswer: -3034505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148574 is divided by 310?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 17*k**2 + 23*k + 14. Let c(z) = -6*z**2 - 8*z - 5. Let y(m) = 17*c(m) + 6*o(m). Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96058\/5 in 5\/6, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(176\/(-440) - (-14)\/60)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2280 - -2311) + (-1 - 2 - -6 - 16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3171, -6373, -9575, -12777, -15979?\n\"Answer: -3202*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2765? (a) -5 (b) 4807 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2034*r. Let o(f) = -2*f**2. What is d(o(l))?\nAnswer: 4068*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969*y - 4226 = 24844 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -35228157?\nAnswer: 35228164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431632410?\nAnswer: 2, 5, 13, 11012557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 5. Let j(d) = -d + 1. Give h(w) + 3*j(w).\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*h + 4*h + h)*(1 + 4 - 4) + h - 5*h + 0*h + 1)*(116*h - 33*h + 45*h) in the form n*h + v + b*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-1\/4)*v)**32)**(3\/4) assuming v is positive.\nAnswer: v**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6402 divided by -1507\nAnswer: -582\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) - (-4*sqrt(96) - sqrt(96)))\/sqrt(3).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from xbgyq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -1 + -3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -0.087859?\nAnswer: 2.912141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -10. Let o(w) = w + 1. Suppose 4*n + 23 = z, -2*n - z - 23 + 10 = 0. Let s(y) = -2*y - 3. Give d*s(m) + n*o(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 6*q + 4. Let h be b(6). Let m be (-9 + 16\/h)\/(-1). Suppose 3*k - m*l + 19 = 0, -2*k - l + 2*l = 1. Is k > -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 369 + 1019. Suppose -2*i - 4*t = -a, -5*i + 3*t - 120 + 445 = 0. Calculate the remainder when i is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*t - 9, 0 = 4*t + x + 4*x - 11. Let u = 42.1 - 42. Let g = 12 - 7. Which is the nearest to t? (a) u (b) g (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*-2*sqrt(245) + sqrt(245) + (sqrt(245) + (-5 + 1 + sqrt(245) - sqrt(245)) - (-2 + (sqrt(245) - 2*sqrt(245)))) + 1)**2.\nAnswer: -350*sqrt(5) + 6150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, b: 4, s: 4, n: 4}. What is prob of sequence sn?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.085 (b) -44\/15 (c) -3 (d) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6897.161 litres?\nAnswer: 6897161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a0684 (base 12) to base 10\nAnswer: -208324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 280, -5, 1, 0 in ascending order.\nAnswer: -5, 0, 1, 3, 7, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 5*p**2)*(p - 3*p + 7*p) as m*p**2 + z*p**3 + b*p + k and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*sqrt(34)\/sqrt(2) - sqrt(17)*3*1) + 3)**2.\nAnswer: -154 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*w + 354*c**2 - 2*c*w - 45*c + w wrt c.\nAnswer: 6*w + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -6*h - 2670. Suppose 0*j = -j + 2*y + 52, 3*y = 5*j - h. Let m(o) = 53*o - 109*o + j*o - 1. Give m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54b - 17?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41243120 (base 5) to base 14\nAnswer: 8acbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -224583, 6, 3 in decreasing order.\nAnswer: 6, 3, 2, -224583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 68. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*b - 340 = f, 8 = 4*b. Let n = f - -56. Let p = n + 107. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176220445.\nAnswer: 5, 89, 396001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 14*g - 3*n + 20 = 0, n - 20 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6 + 2*y**6 + 8*y**6 - 15*y**2 wrt y.\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(4617)*-1 - sqrt(4617)) - (-1*sqrt(570))\/sqrt(10))\/(sqrt(30)\/sqrt(160)*-2).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from hfzvz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -381, -385, 151, 1539, 4091, 8119, 13935?\nAnswer: 21851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 254056416 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a decade in years?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2*b + 4, -5*p + 9*b - 8 = 5*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(242) + -3)**2 + sqrt(242)) + -5.\nAnswer: -515 + 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1547 times 4\nAnswer: 6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27158, 29182, 31206, 33230?\nAnswer: 35254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**2 + 23*s - 4. Let j(f) = -f**2 - f - 1. Let u(x) = g(x) - 6*j(x). Let a be u(15). Let d = a - 104. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4063954, 8127908, 12191866, 16255828?\n\"Answer: 2*p**2 + 4063948*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 741, 1565, 3165, 5799?\nAnswer: 9725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13780 and 520?\nAnswer: 27560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5 + 9*c**2 - 38*c + 13*c**2 + 50*c**2 - 13*c. Let p(d) = -d**2 + 2*d - 1. Let w(i) = -5*p(i) - s(i). Find the second derivative of w(x) wrt x.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1, 6, -69, -4, 22 in decreasing order.\nAnswer: 22, 6, 4, -1, -2, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1837 - 1837. What is the nearest to n in 1\/5, -5, -0.3, -34\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1943 is divided by 1547?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 smaller than 561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 58 - (520 - 494)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 67748 - 67748.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -3086 in increasing order.\nAnswer: -3086, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6892112898 take away -0.11?\nAnswer: -6892112897.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -b. Suppose -b*v = 2 - 6. Is 35 - (0 - (0 + v)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 219 divided by -151006\nAnswer: -219\/151006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -2417*x**6\/30 + 15*x**4\/2 - 5*x**2\/2 + 47*x + 4. What is the third derivative of n(u) wrt u?\nAnswer: -58008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, -190, -405, -706, -1093?\n\"Answer: -43*t**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.45, -1\/4, -1.22 in decreasing order.\nAnswer: 0.45, -1\/4, -1, -1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 23. Let h(r) = -r - r**2 + r. Let y(p) = -4*p**2. Calculate v*h(t) - y(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 4*o, o + 120 = r. List the prime factors of 3 - (-11)\/(44\/r).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*g - 50, 93*x + 75 = 88*x + 3*g. Let j(h) = h**3 - 5*h**2 - 6*h + 1. Let b be j(6). Put -2, b, x, 2 in ascending order.\nAnswer: x, -2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at most as big as 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -30*n. Let x = -342 - -346. Let k(j) = 35*j + 5. Let a(o) = -32*o - 4. Let p(r) = x*k(r) + 5*a(r). Calculate 5*l(i) - 8*p(i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6.5. What is s rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3057.5 - -3058.3. Is y less than or equal to -69\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 4, 6, 3, -7, -2358 in descending order.\nAnswer: 19, 6, 4, 3, -7, -2358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -53. Let n = 30 + s. Suppose -32 = -n*q - 4*q. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:50 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*o, -5*o - 5 - 2 = 2*a. Let z(i) = -18*i - 8. Let m be z(a). Let p be (2 - 132\/8)*m. What is p rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/5)\/(1*2). Suppose b + 3*b = n. Solve m + b = -2*y - 1, 2*y = 5*m - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5106*m**3 - 1123*m**2 wrt m.\nAnswer: -30636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*f - 36140 + 111028 = 1601*f for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waxbwalbywwwa. Give prob of sequence xy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909935124.\nAnswer: 2, 3, 7, 10832561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26042, 52104, 78166, 104228, 130290, 156352?\n\"Answer: 26062*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902 is divided by 392.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-3) - 25\/15. Suppose -25 + 280 = j*a. What is the greatest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18867 + -18699. What is the greatest common factor of g and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + a + 25 = -5*j, 2*j - a = -10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5 = 5*l, 0*l - 2 = 5*u - 2*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7*g**(-2\/11))\/((g*(g**(1\/10)*g)\/g)\/g**(-4\/3)))**(-2\/5) assuming g is positive.\nAnswer: g**(-1447\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*w = -5 - 11, -d + 26 = 5*w. Let f be 0 - d - -1 - -1. Let g be -2 + 568\/220 - (-6)\/(-33). Which is bigger: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262849*i**3*t + 37*i**2 - 2*i*t - 21*t + 9 wrt i.\nAnswer: 1577094*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 (base 8) in base 5?\nAnswer: -13331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**2\/2 + 19. Suppose -2*y - y + 3*s = 21, 5*s = -2*y. Give g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 5. Let f = t - -12. Let x = -7 + f. Which is the second biggest value? (a) 0.01 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -48, -76, -106, -138, -172, -208?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 28030?\nAnswer: 224240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*39465.\nAnswer: -434115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*f - 2642 + 2642)*(1447*f - 112*f**3 - 1447*f) to the form x*f**4 + o + k*f**2 + p*f**3 + a*f and give x.\nAnswer: -5488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 23*r + 2 + 1 as d*r + x and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286581*f - 286247*f + 22712 = 0 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5, -2*k = 3*k + y - 19. Let s(i) = 6 + k*i - 6*i - 4*i + i**2. What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let q(j) = 14*j**2 - 13*j + 6. Let p(n) = 12*n**2 - 13*n + 5. Suppose -152 = -6*i - 122. Let c(v) = i*q(v) - 6*p(v). What is o(c(x))?\nAnswer: -2*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -6 - -12) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = 2*s + p, 0 = -p + 5. Suppose -s*w = -6*w - 20. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1195*r - 11. Let l be v(11). Round l to the nearest one hundred.\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 3\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(22)\/(sqrt(2)*-1))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:41 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from nnnggnzgnggz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -372 + 402. Suppose -114750 = -5*v + o*v. Round v to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.084 - -5. Let z = 0.316 - d. What is the nearest to 1 in z, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v - 3. Let w(t) = -7*t**2 + 1. Calculate w(a(r)).\nAnswer: -448*r**2 + 336*r - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*l + 1 = -5, 44 = -4*u - 4*l. Suppose 7 = 4*s - 29. Let w = u + s. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuui when four letters picked without replacement from {i: 3, u: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4416.\nAnswer: 1\/1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Suppose 2*v - 4 = -2*p, -6*v + v + 34 = -a*p. Suppose v*d - 7*d = 1640. What is d rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6721 = 18*s - 4043. Is s a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*r = 85, 49 = 3*i - 3*r + r. Let d = -261.9 + 262. Is d bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-42)*(756\/2808)\/(2\/4)\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -9. Let o = -7 - d. Let w = 2357.9 + -2358. Which is the closest to o? (a) 0.03 (b) -1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -2. Let u = 10 - x. Suppose -2*s = -t - 3, -u*t + 2*s - 4*s = -18. Solve 2*j = -3 - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.76 - 98.66. Let t = h - -105. Let x = t + -8.51. Round x to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64947035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3864, 4227, 4582, 4923, 5244, 5539?\nAnswer: 5802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 + 1457 = 65*m - 846 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 11. Let u be g(9). Find the third derivative of -8*i**u - 50*i**3 - 24*i**2 + 0*i**2 + 56*i**3 wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10 + 2*q - q + 0*q. Let b be y(-8). Let h(n) = 4*n**2 + 158*n + 154. Let u be h(-1). Solve 0 = -u*j + b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 8. Let z be y(6). Let a = 0 - z. Let b(x) = -18*x + 1. What is the remainder when b(a) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-40) + (-7 - -9))\/(7\/(-28)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22207\/77 + -3108\/11. Find the common denominator of -83\/2 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 10*r**2 + 6*r - 13. Let q(a) = 2*a. Let x(d) = 13*q(d) - t(d). Calculate x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*n = 81, -17*z + 5*n - 118 = -20*z. What is the remainder when 9993 is divided by z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 54 + 18 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 11:04 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*o + 4*q + 31, 5*q + 27 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1abf (base 16) in base 7?\nAnswer: 25651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/395 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**22*(y\/(y\/y**0*y))**(2\/13)*(y**(-2)\/(y*(y\/(y\/y**(3\/7)))\/y*y*y))\/(y**(-5)\/y**5) assuming y is positive.\nAnswer: y**(-15\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2. Let p(h) be the third derivative of 0 + 1\/6*h**4 + 3*h**2 + 0*h**3 + 0*h. Give p(u(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(-1 + sqrt(567))*-1)**2 + -6*(sqrt(567) - (sqrt(567)*2 + 5) - sqrt(567)) + 0.\nAnswer: -16092*sqrt(7) + 511230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**2 - 190*w + 232. Let m be z(46). What is the highest common divisor of m and 591?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442100 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19975, 19974, 19973, 19972?\n\"Answer: -f + 19976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/20 + 2*p**4\/3 - 9*p**2\/2 + p. Let d be l(8). Let g = d - -17. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let f(o) be the first derivative of 75*o**3 + 3*o**2 + o + 10067. What is f(k(r))?\nAnswer: 225*r**2 - 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 4*a - 5*d, -7 - 1 = 4*d. Let k = 84 - a. What is the highest common factor of 286 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794312.\nAnswer: 2, 99289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 100 = -5*r. Let z = 8 + -42. Let s = r - z. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1340302 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/10 - m**5\/15 - 2*m**4 + 8*m**3\/3 + m**2 + 2*m. Find y, given that f(y) = 0.\nAnswer: -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from iiid?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -209081 + -0.0549\nAnswer: -209081.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) - (sqrt(88) - -2*sqrt(88)))*1)\/(sqrt(392) + ((sqrt(392) - sqrt(392)*1) + sqrt(392) + sqrt(392))*-2)*6.\nAnswer: -20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 676351 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(sqrt(1216) + sqrt(1216) + (sqrt(1216) + -4 - sqrt(1216))**2 + 1).\nAnswer: -288*sqrt(19) - 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecvcydevclv. Give prob of sequence dvv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259971811?\nAnswer: 11, 23633801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00293333 to 5 decimal places.\nAnswer: 0.00293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6034156243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980071110 divided by 5.\nAnswer: 196014222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 - 2*p - 2806. Let r be x(0). Let y = -695 - r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-3) - (-8)\/3 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, 2\/9, 3967 in descending order.\nAnswer: 3967, 21, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i + 35. Let b be d(-4). Let r be 3*16 + (-5)\/b + -2. Let f = 105 - r. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/5 (c) 1\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -70 - -78 - (-1 - -1 - 4 - -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Let m be -4 + -19*10\/(-45). What is the third biggest value in 3\/5, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215 - (-9)\/(-3) - -1 - -4?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**6\/120 - n**5\/12 + 5*n**4\/24 + n**3\/6 + 17*n**2. Let u be j(4). Let s = 71 - 46. Solve -s + u = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 360 = -3*b, 7*f - 2*f - 360 = b. Let u = f - 72. Suppose -8*r - 38 + 158 = u. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 312 = v. Suppose q - 4*r - 77 = -15, 2*r - v = -2*q. Suppose -q = 5*w - 159. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - l)*(-23 + 42 + 67)*(-6 - 6*l + l + 4) to the form z + i*l + t*l**2 and give t.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 934*a**2 + 135632*a + 5762400.\nAnswer: 2*(a + 75)*(a + 196)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = -5. What are the prime factors of (4 - c)*-1 - -27?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4\/5)*v)\/(((v*(v\/(v*v**(-3)))\/v)\/v)\/v))\/(((v\/(v*v**(-2\/5)))\/v)\/v*v)**12)**(-26) assuming v is positive.\nAnswer: v**(-832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from ybabhbr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-1)\/2 + (-833)\/(-126)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + ((-23466)\/(-2632))\/(-3). Let x = u - 3\/47. Find the common denominator of x and -19\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 475\/3 - 159. Which is the nearest to 2\/5? (a) 3 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + -112. Suppose -4 = 5*v + 1. Sort 3, l, v, 5 in descending order.\nAnswer: 5, 3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4 + 20*x + 2 - 2 - 12*x - x**2. Let u be r(8). Solve -4 = -u*j + g, 2*j - 8 = 6*j - 4*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/(u\/(u*(u\/(u*u*u*u\/(u*(u*((u*u\/u**(-6)*u*u*u)\/u)\/u)\/u)))\/u)))\/((u*u\/(u*u**(-11)*u)*u)\/u**(-3)) assuming u is positive.\nAnswer: u**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 94?\nAnswer: 8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 23. Let z(x) = -4*x - 1. Let l be z(-5). Calculate the highest common factor of o and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 + 14\/(-8). Let o(j) = -6*j - 1. Let w be o(-1). Suppose -z + w = -3*b, -15 = -0*z + 3*z + b. Put x, z, 2 in increasing order.\nAnswer: z, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/309 - -6505\/1236. Calculate the common denominator of a and (1 - 380\/(-24)) + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 - 30737*g + 15357*g + 5*g**3 - 17*g**3 + 15380*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j - 571. Calculate the remainder when 1186 is divided by h(41).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 23. Suppose i - 19 = a. Let l = i + -24. Solve -2 = l*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 7*q**4\/8 + 1250*q**2. Let w(f) = 157*f - 2. Determine d(w(n)).\nAnswer: 3297*n - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109448 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -366.5. Let m = 234 + l. What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220002122112 (base 3) in base 10?\nAnswer: -474323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 + 4*b**2 - 2*b - 27. Let p(u) = -2*u**3 + u + 10. Let q(f) = -g(f) - 2*p(f). Calculate q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.2 + 23.20243. Let i = 81.14243 - g. Let j = i - 82. Round j to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/179, -1\/5, -4.\nAnswer: -4, -1, -1\/5, 2\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 56, -1511, 5 in increasing order.\nAnswer: -1511, -5, 4, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 18 = -0*q. Suppose 0 = a - q - 4. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-324)*(2\/14)\/(4\/12)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*w + 3*o - 11 = 237*w, -19 = -w + 5*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-219726)\/(-2054) + (-167 - -60).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 68*g**3\/3 + 494. Let y(o) = -o - 6. Give y(r(n)).\nAnswer: -68*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-1*(-3)\/(-1))\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*42\/48*-6. What is the closest to u in 5\/4, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 38 = 5*t, 3*i - 9*t - 20 = -13*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6152898919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**10\/5040 + x**6\/120 - x**4\/12 + 5*x. Let m(w) be the third derivative of q(w). Find the second derivative of m(l) wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b**2 - b**2 - 3*b**2)*(5 - 3 - 3) - 2*b**2 - 3*b + 3*b + (200 + 285*b - 200)*(-7*b + 49 - 49) to the form o*b + q*b**2 + d and give q.\nAnswer: -1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 plus 22.9263?\nAnswer: 38.9263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 6*n**2 - n - 2. Let k be g(-6). Suppose 0 = -9*z - 1 + 19. Solve 3*h - 1 - z = -2*x, 0 = -x - k*h - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 4*l + 6*l + (l + 0 + 0)*(1 - 8 - 3) in the form z + q*l and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) 5.8 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*j = 11, 17*j - 16*j = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46719047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*v + 61, 3*v + 27 = z + v. Let x(l) = -l + 2. Let w be x(-3). Suppose -w*j + 272 = -3*j. Calculate the highest common factor of j and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - u = u - 18, -4*u = -2*a + 14. Suppose 0 = -5*o - a*x + 100, -66 = -2*o - 2*o + 3*x. Calculate the lowest common multiple of 36 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l**2 + 1)*(6*l - 3*l - 2*l) + (2*l**2 - 2*l**2 + l**2)*(4 - l - 4) + (-l**2 + l**3 + l**2)*(-5 + 0 + 3) - 3*l**3 - 4*l**3 + 5*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4)*2 - (-2037)\/4098. Let k = y - -2746\/4781. Which is smaller: k or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 r when three letters picked without replacement from brrrbrrrrsbrrrr.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:33 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -6*v**5 + 151*v**3\/6 - 2*v - 12. Find the second derivative of q(w) wrt w.\nAnswer: -720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 8*b - 14 + 9*b - 3 to the form n + z*b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/21, 1\/7, -2\/7, -3\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2*3\/20)\/((5610\/(-136))\/(-55))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 20*v**2 + 12*v + 11. Let u(p) = 3*p**2 - p - 10. Let t be u(-3). Is q(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241585606?\nAnswer: 2, 17, 23, 308933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*z**3 - 10*z + 178*z**3 + 10*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**2 + 20*c**2 + 32*c**2 + 7*c + 9*c**2 - 7*c + (c - c - c)*(-3*c + 0*c + c) as d*c**2 + j*c + n and give d.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (286\/77 + -8)*7. Let o(n) = 3*n - 3. Let c be o(-4). Let j be (18\/c)\/(9\/f). Solve j*s - s = -12, 2*w = -s - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*n + 4, 0*n + n + 10 = 5*q. Suppose 8 = -q*a + 2. What is the biggest value in 15, a, 0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Let b(s) = 3*s**3 - s - 1. Let p be b(-1). Let i(q) = 2*q - 3. Let c(f) = 5*f - 7. Let a(h) = p*c(h) + 7*i(h). Calculate 14*a(r) + 6*k(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -388, -815, -1388, -2101, -2948, -3923, -5020?\nAnswer: -6233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 548803621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -470.88.\nAnswer: 235.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 533047.6594?\nAnswer: -533046.6594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 24 + 8. Suppose 0 - 6 = -2*s. Suppose -3*v = 3*y - 162, s*y + 25 = -2*v + 189. What is the greatest common factor of y and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -4. Let s(t) = t - 1. Let i be s(0). Suppose -2*r + 7*r = -5*y + 15, -6 = -2*r + 2*y. What is the nearest to i in k, r, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5040 and 37\/490?\nAnswer: 35280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -14003231000?\nAnswer: -14003231010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 5, 1\/596, 218, 4 in descending order.\nAnswer: 218, 5, 4, 1\/596, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 14*b**2 - 63*b - 56. Let s(y) = -y**3 - 29*y**2 + 128*y + 111. Let o(r) = -4*s(r) - 9*z(r). Factor o(v).\nAnswer: -5*(v - 3)*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 5*l + l + 20, 0 = -2*q - l + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 + 111 + 537 + 60)*(8 - 11*u**4 - 8).\nAnswer: -8833*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.9 and -0.1?\nAnswer: -3.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30319 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: Find z such that z**5 + 989*z**4 + 8843*z**3 + 22555*z**2 + 14700*z = 0.\nAnswer: -980, -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1483\/11 + 135. Let h = 732.6 + -707.6. Which is the closest to h? (a) 2 (b) 0.7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 6*l**2 + 2*l - 9. Let q be v(6). Let k be 1*(88\/12*q + -1). Suppose k*o = 14*o + 56. Calculate the highest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2736218567 to the nearest integer?\nAnswer: 52309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 11. Let j = -218 + 276. Let i = j + -53. Solve 2*x - f = t + 4, -i*x - f + 24 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12205363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 4. Let k(d) = d**3 - 13*d**2 - 8*d + 6. Let x be k(14). Suppose -18 - x = 12*o. Determine a(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17)\/(-5) + 225\/100 and (-10 + 7 + 6)\/((-10)\/(-34)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*f + 1 - 10*f)*(-16*f**4 + 454*f**3 - 454*f**3).\nAnswer: 112*f**5 - 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 12*q**2 - 19*q - 10. Let o be j(10). Suppose -9*h + 66 + 15 = o. Calculate the remainder when 21 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 1. Let p be r(4). Let d be (-20)\/5 - (-3 + -1) - -3. Suppose -a + d = -3*i + 6, -5*a = 5*i - 25. Put 0, i, 3, p in descending order.\nAnswer: p, 3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16117\/18 - 2690\/3. Calculate the common denominator of 71\/474 and d.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 7, -4, -6\/7, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - 820?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, 1 s, and 1 u when four letters picked without replacement from {q: 3, s: 1, y: 3, a: 3, i: 1, u: 3}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -757181 < -1514363\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8812*c**2 - 410*c**2 + 2272*c**2 + 989*c**2 - 1096*c**2 in the form r + n*c + x*c**2 and give x.\nAnswer: 10567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88.3 + -83. What is n rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 1\/39 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 214329996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 1, r: 3, j: 7, n: 2}. Give prob of sequence rko.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = 7. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113 + (-132 - -133) - (0 - -2 - -4)) + 8?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2504225 (base 6) to base 10.\nAnswer: -133145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 119456*s**2 + 119452*s.\nAnswer: 4*s*(s - 29863)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let h(p) = -2*p - 19. Let n(d) = -h(d) - l(d). What is the remainder when n(0) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*x**3 + 21*s**3*x**2 + 11*s**2*x**2 - 47*s**2 - 149188*x**5 - x wrt x?\nAnswer: -6*s**3 - 8951280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -161372\nAnswer: 16137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -491*m - 987?\nAnswer: -491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 24 = -5*w, -5*h + w - 6 = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -141\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212120 (base 3) in base 10?\nAnswer: -1365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 6, m: 3, v: 1, p: 4}. What is prob of sequence psmv?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0009 and -1.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2822\/(-4))\/(138\/92). Let d = -470 - u. Which is the closest to -3\/7? (a) d (b) -3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -597 - -710. Let u = k + -98. What is the smallest common multiple of 24 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**3 + 7*j**2 + 25*j - 11. Determine n(-4).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 10. Let j(z) = 8*z + 29. Let q(t) = 4*j(t) - 11*k(t). What is q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2\/7 - 40*c\/7 + 100\/7 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64\/(4 - 5) + -4. Is (-22525)\/c - 2\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*u + 0*u = -9, 5*u - 15 = o. Let m = 4360 + -4363. What is the nearest to -2\/7 in m, o, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -935, -904, -877, -854, -835, -820, -809?\n\"Answer: -2*p**2 + 37*p - 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-2 + 3)\/((-4)\/(-8)). Is 1 + (-3680)\/(-45) + n\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 527\/170 - 3\/30. Solve -486\/5*q**m - 168\/5*q + 16\/5 + 108*q**2 = 0.\nAnswer: 2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6708 and 260.\nAnswer: 33540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1836 divided by 459\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 41. Let y be w(-9). Calculate the greatest common factor of 22 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32\/57 - -2\/19. Let u = 2\/169 + 670\/507. Put d, u, -4 in ascending order.\nAnswer: -4, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, -0.07, 5, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037*c + 2*c**2 + 510*c + 527*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 79, -2, -115?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291558475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12 - 40 - 39*o + 11 + 3 wrt o.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 + 20608*k\/11 + 20610\/11.\nAnswer: -2*(k - 10305)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.18 + -2.59. Let h = z - -1.4100087. Round h to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9747.4 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 94, 0.2, 0.071, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1305.88 - -171.\nAnswer: -1134.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15318 and 2898?\nAnswer: 107226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 388.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*p**2*q**2 - 999*d**2*p + 2*d**2*q**3 + 2*d*p**2*q**3 - 61*d*p + 4*p**2*q**3 wrt d.\nAnswer: 4*p**2*q**2 - 1998*p + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*o - 2 = -2*b - 174*o, 6 = 2*b - 4*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 25. What is the nearest to 0.1 in -2, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*x = 6495, x = 5*d - 12855 - 3415. List the prime factors of d.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 14796*d - 20 = -14795*d, -2*c = 5*d - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*a = 5*q + 14, a = -q + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -42.237 (c) -5 (d) -1\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**3 - 7641*f**2 - 177369?\nAnswer: 9*f**2 - 15282*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/9 - 271540*k**4\/9 - 12402923948*k**3\/9 - 21738860742624*k**2 - 25682250328574706*k + 51451467125423940 = 0 for k.\nAnswer: -44829, -1285, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 380 + 8*b + 1366 - 11*b.\nAnswer: 7*b + 986","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1220.3305*4.\nAnswer: -4881.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 + 5*f**2 - 2*f - 8. Let h(i) = -5*i**3 + 8*i**2 - 3*i - 12. Determine 5*h(k) - 8*u(k).\nAnswer: -k**3 + k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 3, 7.\nAnswer: -6, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -o, -5*h = -0*o + 5*o. Let b(z) be the second derivative of 1\/16*z**5 + 0*z**2 + 5\/24*z**3 - h*z + 0 + 5\/24*z**4. What is p in b(p) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.48 - 2.02. Let w = -0.460294 + d. What is w rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1744365667 and -0.4133.\nAnswer: 1744365666.5867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 - -186. Solve 0*q - 14 = -v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 7, 2\/3, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/10 + 39*a**4\/10 - 152*a**3\/5 + 404*a**2\/5 - 456*a\/5 + 184\/5 = 0. What is a?\nAnswer: -46, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i**2 + 7. Let c(f) = -9*f**2 - 4. Let w = -10 + -3. Let l(y) = w*c(y) - 6*u(y). What is the first derivative of l(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 2 (c) -4 (d) 3\/7 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4536 + -2664. What is the highest common factor of 39 and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12244 by 2445.\nAnswer: -12244\/2445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + 6.88. Let n = -7 + d. Let u = 0 + -4. Which is the second smallest value? (a) n (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -22*n**3 + 3*n - 2. Let j be q(1). Which is smaller: j or -20?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + s + 5 = -4, -4*v = s. List the prime factors of (v\/3)\/((-1)\/(-30)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (143 - 158 - 122\/(-8))*(-184)\/(-2). Solve -13*p + k = 114 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhnoonhz. Give prob of picking 1 l, 1 o, and 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 23. Suppose -4*y - n = -4*f, -f - 4*f + 4*y = -26. Is ((-4)\/6)\/(f\/(-279)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 + 71 = 0. Let f be (88\/z)\/(-2) + -1. Let k = 7.6 + -9.6. Which is the closest to 5? (a) k (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1633 - 453*g**2 + 453*g**2 + 1633 + 1882*g**3.\nAnswer: 1882*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 721985 + -753206.9. Let d = -31664.8809 - o. Let f = -443 - d. What is f rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -881754, -3526937, -7935576, -14107671, -22043222?\nAnswer: -31742229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -10. Calculate the remainder when 9 is divided by ((-24)\/a)\/(2\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -0.05. Let f = z - -2. Let g be (4 + -2)*1\/2. Which is the third smallest value? (a) f (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.2 - -9.5. What is the fourth biggest value in 4, o, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -661 + 670. Solve 0 = 4*x - 4, -8*w + r*w - 3*x + 1 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52083.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, s: 1, m: 1, v: 1}. What is prob of sequence vms?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9*(-12)\/4)\/(6\/306).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6802687*d - 30 + 30.\nAnswer: 6802687*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 343 + 71. Suppose -3 = 5*q - u. Solve 3*j = -3*x - q + 6, 11 = -2*j - x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let v(l) = -13*l - 7. Let u(y) = -4*n(y) + v(y). Let d be u(-1). Are 11 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26293 at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 26. Suppose 0 = -3*r - 4*i + 83, -3 = r - 3*i - o. Suppose -4*c + r = c. Solve -4*b - 2*l + 8 = 0, -c*b + 7 = -2*l - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 5903.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-60)\/14 + 4)*-21. Let f be 232\/276 + o\/(-9). Let i = f - 66\/115. Which is the closest to -2\/5? (a) -2\/31 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*o**3 - 43*o**3 + 13*o**3)*(105 + 45*o - 105).\nAnswer: -2340*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 173, 8, 4 in increasing order.\nAnswer: -4, 4, 8, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 227729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d + 12*d**2 - 44*d**2 + 30*d**2 + 57)*(-6*d**3 - 3*d**3 + 2*d**3).\nAnswer: 14*d**5 - 77*d**4 - 399*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2. Let y(h) = -h**2 - 1. Let j(r) = -3*r**2 - 4. Let k(d) = 5*j(d) - 20*y(d). Give k(c(n)).\nAnswer: 180*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by 30.\nAnswer: -59\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222741977 + -101032767. Let n = 121709208.97000007 - p. Let y = 1.03 + n. Round y to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-418)\/(-6) + (-11)\/(-33). Let z be ((-2)\/(-5))\/(2\/40). Let n = a + z. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 495389, 495388, 495387, 495386, 495385, 495384?\nAnswer: 495383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 7. Let f be 9\/2 + 3\/d. Suppose -3*c - 6 = v, f*c + 0 + 2 = -3*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 37*x**2 + 40*x + 381. Give l(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012221566932 to 4 dps.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**3 + 3*f**2 + 27*f + 190. List the prime factors of s(-9).\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 + 7*z + 5. Let k be (-3)\/((-2)\/8 - -1). Give s(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 21. What is j(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/252*1\/(-188))\/(32\/(-224))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/39, -584, 0.1?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 787163887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/7 - (-6 + 0). Suppose f*h - 20 = -r, 0*r = -3*h + 4*r + 52. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clchcclclwlhllll. Give prob of picking 2 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012337187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -86023549, -86023547, -86023545, -86023543?\n\"Answer: 2*m - 86023551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 56. Put 3, -7, v, -4 in descending order.\nAnswer: 3, v, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = -2. Let y(t) = m + 8*t + 3*t**2 - t**2 - t**2. Let z(f) = f. Let c(r) = 3*y(r) - 6*z(r). Determine l so that c(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*-2 + 820\/41. Let g = -24 + 57. Let q = g - a. Solve -3*k + q + 0 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t - 2*m + 5, 0 = -5*t - 5*m + 30. Let g be 16\/t*6\/4. Let o = 2.07 - 0.07. What is the second smallest value in o, g, 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - n + 1. Let p be m(2). Let j = 15 - p. Suppose 0 = -3*o - o + j. What is the greatest common divisor of o and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Suppose y - 126 = -g*y. Let a be 4\/(-14) - 282\/y. Is a at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168731.3 centimeters in nanometers?\nAnswer: 1687313000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -502788*k**4 + 535352 with respect to k.\nAnswer: -2011152*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + 1835 - 1583)*((1 - 1 + 2*v)*(-v**3 + 2*v**2 - 2*v**2) - 2*v**4 + 3*v**4 - 2*v**4).\nAnswer: 6*v**5 - 756*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 3, 0.\nAnswer: -24, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6*(-2 - 2))\/((-102)\/(-68)). Suppose -5 = -h - 5*p, k = 3*h + p + 1. Let w(f) = 2*f - 8. Let d be w(6). What is the nearest to 1\/4 in 2, d, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*d - 18, 2*d - 10 = -2*r + r. Let s be (r\/(-7))\/(2\/(-1)). Calculate the highest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2075735, -4151462, -6227189, -8302916?\nAnswer: -10378643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 0*l**4 - 2*l**4 + (l - l - 2*l)*(0*l**3 + l**3 - 3*l**3) + 3*l**4 + 0*l**4 - l**4 + 12*l**4 + 10*l**4 + 2*l**4 - 2*l**3 + 2*l**3 - 2*l**4.\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from qqqqqfqfqqqqqffqqf?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8399456928 - -30264\nAnswer: 8399487192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 7*d + 1. Let u be l(7). Suppose -2*m + u = -3*h, 0*m + 5*h - 10 = m. Let q(i) = -i - 3*i + m*i. Let k(a) = -2*a**2. Calculate q(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3674393206 to the nearest integer?\nAnswer: 60617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35960 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9755462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 - o - 6. Calculate v(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11202 (base 3) to base 10.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (-2860)\/8*(-43628)\/65 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*i**3 + 3*c**3*o**2 + 2*c**3 - 14*c**2*i**3*o**2 - 2*o wrt o?\nAnswer: 6*c**3 - 28*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (117 - 81) + -3 + 26 - 4\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 2*o**2 - 1216*o**3 - 7*o**2 - 1541*o**3.\nAnswer: -2757*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-148)\/111 - 8\/(-6))\/5. Solve 14*j + 4*j - 36 = b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 3. What are the prime factors of w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 910*r + 3650. Calculate o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 3223, 7500, 13561?\nAnswer: 21406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6125 and 5875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 17 = -t + 2, 3*u = 15. Which is the closest to -0.2? (a) 3 (b) -6\/41 (c) 5\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139\/2 - -68. Sort x, 0.1, -1\/5, 2\/7.\nAnswer: x, -1\/5, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 2*g**2 - 9*g\/4 + 18.\nAnswer: (g - 8)*(g - 3)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 9*x**2 - 12*x + 12. List the prime factors of v(-9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -12) + -27 + 23 - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2776, 11714, 26574, 47326, 73940, 106386, 144634?\n\"Answer: -5*w**3 + 2991*w**2 - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 - 14*y**2 + 24*y**2 - 5*y**2 - 139 - 37 as a*y + x + s*y**2 and give x.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*o - 63, 94 - 139 = -5*m + 5*o. Calculate the smallest common multiple of m and 5615.\nAnswer: 16845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2491*f = 2485*f + 36 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = -17*r + 25857. List the prime factors of r.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424577 is divided by 474822.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69, -121, -173, -225, -277?\n\"Answer: -52*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9190, -36771, -82740, -147097, -229842?\n\"Answer: -9194*l**2 + l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**4 - k + 1. Let n(d) = 2 + 9*d**2 - 18*d**4 - 9*d**3 - 8*d - 4*d**4 + 3*d + 23*d**4. Let s(x) = -n(x) + 2*y(x). Factor s(v).\nAnswer: -3*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*x - 6*x = 1, -x = -2*w + 17. Solve -w = -s - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 38. Let n = 16.4 - x. Let s = n - 0.39999955. Round s to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9434624l to millilitres.\nAnswer: 943.4624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 48*v + 220, -31751 = x + 4*v - 31728 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a. Let d(g) = 23*g + 69. Let t(x) = -1. Let b(q) = 2*d(q) + 138*t(q). What is l(b(m))?\nAnswer: -92*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 3, c: 10}. Give prob of picking 1 c and 2 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 11*r = -u, 3*r = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*m - 4, -3*k - 141*m = -146*m + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1636 is divided by 178?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01428 in -4, -2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 100 + 15?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -5, -2\/103, 1\/6, -165\/8, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1074 divided by -3.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**6\/120 - 10*z**3\/3 - 4*z. Let c(a) be the second derivative of s(a). Let q(f) = 10*f. What is q(c(j))?\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 45. Which is the second smallest value? (a) -1\/5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813766534 to the power of 1\/2, to the nearest integer?\nAnswer: 28527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135268*l**2 + 270466*l**2 - 135278*l**2.\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 170 + 167. Let a be (-12)\/(-24)*(j - 6\/2). Sort 2, 1, a, 5 in descending order.\nAnswer: 5, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.52 + -27.6. Let n = 20 - y. Let b be (2\/(-7))\/((-24)\/14). Sort 1, b, n in decreasing order.\nAnswer: 1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 26*l + 22*l = -77420, 3*l - 3 = 0. What are the prime factors of r?\nAnswer: 2, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n + 7*n = n + 735 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -24 + 3 + (13 - (8 + -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51852342.\nAnswer: 2, 3, 8642057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -39, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*c**4 + 123*c**3 + 26345*c.\nAnswer: -984*c**2 + 738*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4418*k - 16882*k - 760304 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 3*f + 55, s + 10 = 4*f. Let l(g) = 0 - 5 + 69041*g - 69040*g. Let d be l(s). Solve d*c = 5*u, -c = 2*c + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59240\/3 + 19748. Factor -o*c**2 + 16\/3 + 8\/3*c - 2\/3*c**3.\nAnswer: -2*(c - 2)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/25 + 77\/225. Which is the closest to 0? (a) 0.3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-11.1999\nAnswer: 14.55987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45726147 is divided by 3810512.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:23 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -36711 in ascending order.\nAnswer: -36711, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/121, -323, -5 in descending order.\nAnswer: 5, 2\/121, -5, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-1 + -4.\nAnswer: -5*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -35979\/56978 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85164902 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert cd50 (base 14) to base 13.\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*d + 164, 0 = -3*a - 2*d + 6*d + 88. Let x be 42\/(-4) - (-2)\/4. Let c = x - -21. Calculate the remainder when a is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 546502291*s + 1024075173?\nAnswer: 546502291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r + 54. Let t be h(-8). Suppose t*s - 8 = 4*s - 2*f, 4*s = 3*f - 5. Sort s, 4, -5.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.1219 millennia to months.\nAnswer: 157462.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 + 220. Let l(z) be the first derivative of -4 + 2*z**f + 0*z + 5\/3*z**3. What is the second derivative of l(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**3 - 1\/54*d**4 + 0 + 1\/135*d**6 + 4*d + 0*d**2 + 1\/90*d**5 - 1\/189*d**7. Solve v(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -650?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -969400 by 524.\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3058743*l**2 - 52595930*l wrt l?\nAnswer: 6117486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 326, 496, 802, 1286, 1990, 2956, 4226?\nAnswer: 5842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 4*x + 1. Let o be l(-2). Suppose -1041 = -d - 2*v, -o = -4*v + 11. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4872.1464 seconds to hours.\nAnswer: 1.353374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 30*t**2. Let m(g) = 69*g. Calculate y(m(b)).\nAnswer: 142830*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 4*g**2 - 14*g**3 + 40*g**3.\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = j + 12, 2*j + q = 3*q - 8. Suppose 4*n + j*g = -g + 45, 4*n = g + 51. What is the least common multiple of (-3)\/(-1) + n\/6 and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 t when three letters picked without replacement from wewteewepeewpe.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3974\/(-11922))\/(((-1)\/180)\/(-1))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h - 4*p - 32, 2*h - 4 = 5*p. Let m be (h\/6)\/(8\/(-12)). Solve 3*q + 4 = -4*i, 5*i - 4 = -m*q - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14*q - 4. What is u(4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:22 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d. Let w be x(-2). Let q be w\/15 + 6\/(-20). Let i = 4 - 1. Sort 1\/4, q, i in decreasing order.\nAnswer: i, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*b**4 + 17*b**3 + 79*b**4 - b**4 + 2*b**2 in the form i + w*b**2 + m*b**4 + v*b**3 + h*b and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 36*y**5 - 826*y**4 + 2110*y**3 + 332*y**2 - 2640*y = 0?\nAnswer: -1, 0, 3\/2, 22\/9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280 is divided by 322?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20552)\/7*(1 - 2). Suppose f + 1630 = 6*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 8. Suppose 3*j + 7 = -5. Let z be n(j). Suppose -2*r + 3*h = -z*r - 35, -4*r + 55 = -h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-5)\/(15\/(-12)). Suppose 0 = a*p + 4*b - 28, 0 = -p + 4*p - b - 7. Let i be 3 - 0\/((-4)\/(-2)). Solve y - f + 1 = 0, 8*f - p*f + 1 = i*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**2*u**2 + k**2*v + 20*k*u**2*v - 4218*k*u*v + 18*u**2 + u*v wrt u.\nAnswer: 8*k**2 + 40*k*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -62. Find the third derivative of -z*d**2 - 84*d**3 + 42*d**3 + d + 40*d**3 - 10*d**4 wrt d.\nAnswer: -240*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 4*o - 2*m + 94 = 0, m - 24 = o. Which is the closest to -0.3? (a) 1\/2 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -197*q**2. Let i(m) = m**2. What is j(i(n))?\nAnswer: -197*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37048\/471 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 538.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 93678699 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 6, q: 1, m: 2}. Give prob of picking 2 q, 1 m, and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(4\/4 + 0). Suppose 2*c = c - j. Let u be (-1 + c)*(-2)\/3. Let w(k) = 5*k. Give w(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21170632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, n: 9}. Give prob of sequence nbn.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3951 - 1.6049. What is the fourth smallest value in 1, c, -4, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-6)*r))**(-30) assuming r is positive.\nAnswer: r**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10817 divided by 10817?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (-17576)\/312 - (-452)\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 5. Suppose -8 = -2*p - 2*g, -p + 4*p = g + 4. Suppose -3*s + 24 = 5*c, s + p*c - 40 = -4*s. Solve 3*w - b*w = s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 10*o**2 - 12*o + 17. Let m be z(-10). Suppose 35 = q - 39. Let u = m + q. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/5 - 33\/5. Let g = 2 + -11\/3. Which is the third biggest value? (a) 0.08 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/281902926 and 76\/64761483.\nAnswer: 4792349742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(11 - 1 - 0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3441 - 10403?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 3)*(2 - 5 + 2)*(q - 10*q + 4*q).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Let n = 1 + 1. Suppose -n*y + 5*y = -15. Sort -1, y, q in increasing order.\nAnswer: y, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 2*s + 1. Let x be r(-3). Let w = -11 - x. Let k(m) = m**3 + 9*m**2 - m - 2. What are the prime factors of k(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:34 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 12*i**2 - 4*i + 17. Let l be w(11). Let p = l + -70. Sort 2, -2, p in increasing order.\nAnswer: -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + -4. Let w = b - -31. Which is smaller: -7\/3 or w?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1278 divided by -142\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -11*i + 999. Calculate the highest common divisor of 1764 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51098, 106731, 162364, 217997?\n\"Answer: 55633*k - 4535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (766*w**4 - 343*w**4 - 337*w**4)*(4 - 4263*w + 4269*w - 17).\nAnswer: 516*w**5 - 1118*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 29*x**2 - 11*x + 133. Let t be z(29). Which is the closest to t? (a) -2\/5 (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 950 - 949.5. Let j be 3\/9 + (-1)\/(-3). Let r = 3 + -2. Which is the closest to r? (a) j (b) l (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:07 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*y - 55486, -953*p + 5*y = -954*p + 55462. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 19 - 2)*(-3*o + 0*o + 4*o)*(o + 2*o - 2*o) - 3*o - o**2 + 3*o to the form h*o**2 + n*o + k and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 53, 36\/13, 0.1, 11\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13399527 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 + -2330\/11. Suppose -5*u - 6 = -i - 30, 2*i = 3*u - 13. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-793)\/(-13)*-1*2\/2. Let z = 61 + p. Suppose z = -l - 4*m + 111, -l = m - 3*m - 123. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 12, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a minute in seconds?\nAnswer: 2430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115003108 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 168\/49 - 12\/(-21). Solve v = -c*y + 15, -3*v = 2*y - 5*y + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*d - 23. Let x be 21\/14*-2*(-3)\/d. Is 2\/(-6)*x\/((-3)\/(-2763)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6972089 hours in milliseconds?\nAnswer: 2509952.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.48 - -0.48. What is the second smallest value in -2\/15, f, 5, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -5*z**4\/12 + z**3\/6 - 28*z**2. Is u(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15412, -17727, -20042, -22357?\n\"Answer: -2315*c - 13097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.03, 4\/11, 4\/5, -2, 0.5, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 + 2*u**3 + 18318*u**2 - 553458*u.\nAnswer: -20*u**3 + 12*u + 36636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178246 or 178180?\nAnswer: 178180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*s**5 + 44651*s**4 + 6427271*s**2.\nAnswer: 1560*s**2 + 1071624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a8d - -617?\nAnswer: 11a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 133029869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127 + 108 - 120) + -129.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u**2 - 5631*u - 121992 = 0. What is u?\nAnswer: -184, -221\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 3, x: 1, g: 10, k: 2, t: 1}. What is prob of sequence vzg?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 5*a**2 - 4*a - 7. Calculate i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - m - 1. Let f(u) = 10*u**2 - 6*u - 6. Determine 6*d(l) - f(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015067107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 295 - 79. Suppose 1 = f, -f + 35 = 4*p - o. Suppose -2*v = -2*g - p, 6*g - 15 = g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -7 (b) -2\/14409 (c) -4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40344*n**3*t**3 - 11*n**3*t**2 + 8724*n**3*t - 2*n**3 - n**2*t + 2*n*t - 2*t + 179 wrt t?\nAnswer: -242064*n**3*t - 22*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 31 - 48 = -2*q, 0 = 2*q - 5*l - 55. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42935 + 75414. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20427489 to the nearest integer?\nAnswer: 4520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2475 + 17321\/7. What is the second biggest value in 3, g, -0.9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194.454+1\nAnswer: 195.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w = 15. Suppose -r - w + 7 = 0. Solve -b + r*i + 12 = 0, -4*b - 3*i + 13 = -4*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 107730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/16 and 587162\/(-768120) - (-6)\/10?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13471032410474 and 4.\nAnswer: -13471032410470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101022111112 (base 3) to base 9.\nAnswer: 338445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 69*y - 949 = 626 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -12 (b) -9 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 643843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 + -0.8. Let u = -0.12 - -5.12. Let l = f - u. What is the nearest to 1 in -0.5, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*r - 73*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283795382 to the power of 1\/2, to the nearest integer?\nAnswer: 16846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 6. Suppose m - 2*x + 2 = 0, -3*m + 3*x = r*x + 24. Let b be (-1)\/(9\/m - 2). Is -1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + t - 60 = 0. Suppose -z + t = z. Suppose -g + 2435 = 4*g + n, z*n = 2*g - 974. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from yyfygyyyyfyfyyygy?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-160 - (-1 - 5))\/((-2)\/3). What is the greatest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-15) + 0)\/((-1)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:58 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 + 22*q**3 + 11*q**3 + 6*q**3 - 39*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*69.95.\nAnswer: 419.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81973878 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -128. Let u(q) = 2*q**2 + 28*q + 21. What is u(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -779 - -877. Let f = -54 + k. Calculate the remainder when 80 is divided by f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 824 = 3*k, -58*l = -55*l + 4*k - 1234. Calculate the greatest common divisor of 58 and l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 678\/(-8)*(1545\/(-45) - -13). Which is smaller: n or 1811?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68934399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 4*v**2 + 20)*(-145 + 11*v**2 + 153 + 69*v**2).\nAnswer: 320*v**4 + 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 12\/9 + (-14)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l. Let j = 60 - 55. Let r(k) be the third derivative of 0*k**4 - 2*k**2 + 0 + 0*k - 1\/20*k**j + 0*k**3. Determine r(v(i)).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*s + 2*v + 3, -s - v + 2 = 0. Let q be ((-3)\/(-2))\/(3\/64). Solve 0 = -5*y + q - s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -142, -136, -130?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + sqrt(19) + -2 + -2)**2 + sqrt(19) + sqrt(19) + -1*sqrt(19)*-2.\nAnswer: -20*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from qrvvvrrrkrvvvvr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2187822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12*(-2)\/14)\/(30\/75))\/((-156)\/2184)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1498276, -2996535, -4494780, -5993011, -7491228, -8989431?\n\"Answer: 7*j**2 - 1498280*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/151390 and 83\/90?\nAnswer: 1362510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = 0, -35846 + 13803 = -4*u - 5*i. What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348, -10616, -35772, -84766, -165548, -286068, -454276?\nAnswer: -678122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -444, -463, -498, -555, -640, -759, -918, -1123?\n\"Answer: -w**3 - 2*w**2 - 6*w - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2414\/85)\/71*-35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, 3, 29, 87, 189, 347, 573, 879?\n\"Answer: 2*d**3 - 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 0.8 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -1 - (-3 - -1) - -6 and -5*(-2 + 3)\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5460 and 77\/35997?\nAnswer: 5039580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 47 = -d, 0 = 4*u - 9*u - 4*d + 45. Factor -u*h - 9*h**4 + h**4 + h + 9*h**3 + 5*h**4.\nAnswer: -3*h*(h - 2)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 5*a - 14. Let r be d(7). Suppose 2*v - 2 = -2*m - r, 0 = -3*m - 5*v + 9. What is the third biggest value in -0.5, 1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - 1)\/(24\/(-128))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 156638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74530 - 74530 - 22*d**2 + 24*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {j: 2, g: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + f**2 - 1. Let t(y) = -64*y**3 - 80*y**2 + 80. Calculate -80*a(q) - t(q).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36190 and 243930.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-6 + 0 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6070749?\nAnswer: 3, 797, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*d + 8 = 0, -3*d - 2 = -2*j - 0*j. Let r be (3\/j)\/(4\/(-32)). Suppose k + k = 5*y + 8, 0 = -3*k + 5*y + r. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 11:02 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**7\/420 + f**6\/60 + 31*f**3\/3 + 49. Let r(a) be the third derivative of n(a). Solve r(s) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496*v = -922*v + 8369*v + 80096 + 417054 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**4\/4 - 5*t**3\/3 + 3*t**2 + 7*t - 2. Let f = -44 + 38. What are the prime factors of k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -511 - -303. Let x = -215.116957 + 7.117787. Let t = x - a. Round t to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 1) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2 + 7. Let v be (26\/12 - 2)*z. Which is the closest to 0.1? (a) v (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 8*u - 11. Give g(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 449 - 787. Suppose -4*h - 2*r = 938, 0*h + h + 252 = 3*r. Let p = h - o. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190167301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: acab0 (base 15) to base 4\nAnswer: 2012010231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 81 = -m. Suppose v = 5*v - m. Calculate the remainder when (-4 + (-6)\/(-5))*-20 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009527 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2593012?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 10}. What is prob of picking 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*u = 52, 1 = 2*p - u - 46. Solve -4*y - 6*z = -4*z - 4, 5*z = 4*y + p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, 5, 2\/389, -8.9, 56?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77186 - -77190. Find c, given that -21\/8*c**3 + 12*c + 9\/4*c**2 - 12 + 3\/8*c**q = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.47, -5, 0.3, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f - 5. Which is the biggest value? (a) 2\/3 (b) f (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uojoutg. Give prob of sequence uguj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9163.44 + -2.129?\nAnswer: -9165.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001599457 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 262 = 4*w - 9*w, 4*u = -2*w + 100. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 7*y**2 + 7*y - 4. Let o(k) = k**3 + 7*k**2 - 7*k + 3. Let g(m) = 3*o(m) + 2*q(m). Give g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 + 5*k**3 - 123 + k**2 + 61 to i*k + t + j*k**2 + d*k**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 830703916 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 k when four letters picked without replacement from skkkskkkk?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10110011 (base 2) to base 9\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlllllllmmlmmmlmmmm. Give prob of picking 2 m.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 96 - 1 - (-10997 + 11085)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 1\/20*m**5 + 0*m**4 + 0 - 1\/2*m**3 - 3\/2*m**2 - 40*m. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:28 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 277743.5 meters?\nAnswer: 277.7435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 21. Let q(k) = -8*k**3 - k**2. Give q(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22501\/40 - 4593\/8. Find the common denominator of 68\/903 and u.\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864450, 864554, 864724, 864960, 865262, 865630?\nAnswer: 866064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-2*sqrt(35))\/sqrt(5)) + 4.\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 1, a: 6, n: 1, e: 2}. Give prob of picking 1 a and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402214 - 4?\nAnswer: -402223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 50 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 181, 483, 791, 1105?\n\"Answer: 3*u**2 + 293*u - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*f*t**3 + f*t**2 + 260*t**3 - 2 wrt f.\nAnswer: 11*t**3 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 6*v + 5. Let s be t(4). Let a be -3*(s + 11)*1. Let b be 2 - (a + 0) - -1. Round b to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -4*r, 2*k + 3*r = 2895. Round k to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 2. Let c be q(-3). Let h(b) = 10*b + 2. Is h(c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxppnx. Give prob of sequence nqp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 282*s**3 + 597*s**2 - 2028*s + 1152.\nAnswer: -3*(s - 96)*(s - 1)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 2)\/((-10)\/15). Let v be x - ((-75)\/12 - -3). Which is the third smallest value? (a) 0 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 641223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3033.9373 and 0.116.\nAnswer: -3033.8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + f**2 + 5*f**2 - 3 + 3 + (54*f + 16*f + 4*f)*(0*f - f - f))*(-2*f**3 + 4*f**3 - 3*f**3).\nAnswer: 142*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4754, 9513, 14296, 19115, 23982, 28909, 33908, 38991?\n\"Answer: 2*p**3 + 4745*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14 and 404020467386.\nAnswer: 404020467386.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.08, -2, -0.3, 1\/2, -5\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 9:15 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -4. What is the remainder when 47 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, -2\/5 in increasing order.\nAnswer: -3, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31630 + 47222 = -1877*h - 31221 - 65807 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19*q**3 + q**2 + 2*q - 3. What is f(2)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.38 + -0.12. Let x = 0.5 + t. What is the third smallest value in -4, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659, 1317, 1975, 2633, 3291?\nAnswer: 3949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/7 + 326*y**3\/7 - 17820*y**2\/7 + 332424*y\/7 - 314928\/7.\nAnswer: -2*(y - 54)**3*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let f(v) = 2537*v**2. Determine f(z(r)).\nAnswer: 2537*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -1, 8, 21?\n\"Answer: 2*r**2 - r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 15. Let w be y(-7). Let v(a) = -15*a**3 + 23. Let u(g) = 1. Let n(h) = w*v(h) + 2*u(h). Differentiate n(k) with respect to k.\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - g. Let o be c(-2). Suppose 4*q - o = 2. Find the first derivative of -1 - 3*t + 2*t + q*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -5.13?\nAnswer: -4.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 631 - 367. Let u be (0 + (-1)\/(-3))*12. Suppose -3*s = -3*p + 33, 2*s - u*s + 2 = p. What is the highest common factor of t and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*n = -49, 5*n - 5 = -2*a + 2. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + 231?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.757 - -4. Let h = g - 0.24299898. What is h rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:01 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -392596 divided by 244?\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m - 6. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 8*o - 12812 + 3*o + 3737.\nAnswer: o - 9075","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 12*f + 50 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkx when three letters picked without replacement from {r: 9, k: 4, y: 3, x: 4}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.26, 4, 0.2, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 16) in base 5?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/2782 and 67\/9.\nAnswer: 25038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) 1429 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-44)*(-4 + (-944)\/(-132)). Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -1.4, 2 in descending order.\nAnswer: 2, -0.15, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - c. Suppose -2*l + 15 - 3 = c. Suppose -3 = -w + l. Calculate the remainder when 25 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118320.99569 rounded to the nearest 1000?\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g + 3 - 4*g + 4*g + g - 2*g. What is l(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/5265900 and -115\/36.\nAnswer: 5265900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 - 97 = 235*r + 139*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-45)\/26) + 34\/(-85).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -0.8, -0.2, 10, 0.4.\nAnswer: -5, -0.8, -0.2, 0, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385187931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -389. Suppose 1018 = x - p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 23, 22, 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:08 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/23))\/y**(-2\/23)*(y*(y*y**32)\/y)\/y**(2\/31) assuming y is positive.\nAnswer: y**(1052\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = -6. Let h = -0.36 + -0.14. Let c = 2226 - 60100\/27. What is the smallest value in l, h, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5366, 2, -3, -5, 0 in increasing order.\nAnswer: -5, -3, 0, 2, 5366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -417*h**3 + 20*h**2 - 8*h - 4. Let r(k) = 1251*k**3 - 55*k**2 + 22*k + 11. What is 11*d(w) + 4*r(w)?\nAnswer: 417*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, j: 2, y: 1, c: 6}. Give prob of picking 2 j, 1 b, and 1 y.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79.967 - 80. Let y = -0.182 + x. Let m = 0.085 - y. Which is the third smallest value? (a) m (b) 13 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 111*x - 6 - 202*x + 115*x - 2*x**2. Let q be o(14). Let i = q - -991\/16. Calculate the common denominator of 13\/44 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + r + 12 = 4*r, -40*r + 3 = -3*w - 43*r + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(-1 - 11\/(-9)). Sort -7, 1, a in increasing order.\nAnswer: -7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (1360\/102 - 5\/(-3)). Solve 26*h - d*h + 42 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900 and 18720?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -17357986984186?\nAnswer: 17357986984182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(sqrt(84) + (1*sqrt(84) - sqrt(84) - sqrt(84)))*3)\/(-6*sqrt(144)\/(sqrt(12) + sqrt(36)\/sqrt(3))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 4. Let o be u(-2). Let b = -2 - o. Find the second derivative of -3*z**3 + 3*z + b*z + 2*z wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(637) + -1 + 4 + (-2*3*sqrt(117)*6)**2.\nAnswer: 7*sqrt(13) + 151637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7155.56146 - -25.23756. Let z = 7130 + w. Round z to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4223853.\nAnswer: 3, 73, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.179 and -5673.194.\nAnswer: -5675.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56724 = -1264*m + 17540 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/9)\/((-3)\/(-486)*3). What are the prime factors of (2*20\/(-12))\/((-4)\/k)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5673*u + 80 = 5663*u + 5*m, u + 2*m = 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*f - 4005276 = -1625276, -t + 4*f + 1190000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-12 - -3) + 8 - (4 - 10 - 54).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089609952 rounded to six decimal places?\nAnswer: -0.008961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2115\/7 - 3\/7*l**2 + 408\/7*l = 0 for l.\nAnswer: -5, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 7*l. Solve -4*a + l*a = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190\/150*(-5265)\/117\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1027 or 7.6?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 555*j**3 + 13578 - 13578 + 4 - 2*j**3 - 4 + (-j + 3*j + 0*j)*(2*j**2 - 5*j**2 + j**2) + (2*j**2 - j**2 + 2*j**2)*(-4*j + 0*j + 2*j).\nAnswer: 543*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.028 - -0.272. Put 0.04, r, -1\/2, 0.1 in descending order.\nAnswer: r, 0.1, 0.04, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*h - 4 = -105*h. Suppose 3*y - 15 = -2*b, -2*b - h*y + 6 = -6. Solve 3*m - 3*c = 12, 4*m + 3*c = -m + b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 29*k - 132. Let q be u(32). Suppose -3*p + 706 = 4*c - 367, q = 3*c + 4*p. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 84*j**3 + j - 1. Let k be y(1). What is the common denominator of 610\/k + 20\/35 and 79\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 52797 = p, 0 = -5*w + p + 4*p - 88015. What is w rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*s + 63*s - 11*s - 12*s + 775)*(-4*s**2 + 0*s**2 + 2*s**2).\nAnswer: -2*s**3 - 1550*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 - 10. Let t(l) = -10*l**2 + 14. Let r(q) = 5*t(q) + 7*z(q). Let c(u) = 86*u**2. Calculate c(r(y)).\nAnswer: 86*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -6*i + 2*k - 9, 0 = -3*i + k - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6141, -24516, -55123, -97962?\n\"Answer: -6116*r**2 - 27*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13435163979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 7*a**2 + 7*a - 3. Let q be 9 + -3 + (4 - 4). Let y be p(q). Is 0 - 1 - (-156 - y) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312776.826 rounded to the nearest one thousand?\nAnswer: 313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 1566\/(-270))*(-2)\/(-114)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 + 8*m - 3. Let p(h) = 2*h**2 + 9*h + 14. Let v be p(-6). Let x = v - 17. Suppose -x - 1 = -2*b. Give z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14082247.7 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 38, 61, 104, 173, 274?\n\"Answer: j**3 + j**2 - j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**3 + c**2 + 59*c + 109. Calculate d(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 16. Suppose 0 = -11*v + 6*v - w. Put v, -5, 5 in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**3 - 5*w**2 - 8*w + 4. Let z(s) = 7*s**3 - 3*s**2 - 5*s + 3. What is -5*n(y) + 8*z(y)?\nAnswer: y**3 + y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2. Let o(g) be the second derivative of g**5\/60 - 4*g**3\/3 + 8*g**2 + 58*g. Let j(m) be the first derivative of o(m). What is j(k(c))?\nAnswer: c**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 25 = 5*k + 3*y, 4*y - 20 = -5*k. Suppose f = -k*f - 5, -32 = -r + 5*f. Let p = 3 + r. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 2*q - 2. Let y(b) = -3*b**2 + 2*b + 3. Suppose -25*w - 28*w = -159. What is w*p(h) + 2*y(h)?\nAnswer: 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -324*d + 326*d - 8. Let o(a) = -3*a**3 - a**2 - a - 4. Let k(u) = -3*u**3 - u**2 - u - 5. Give d*k(g) - 5*o(g).\nAnswer: 3*g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/9)\/(t*(t**(-20)*t)\/t))\/((t\/t**(9\/4))\/(t**0*t)))**(-4\/17) assuming t is positive.\nAnswer: t**(-761\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**7\/21 + 11*p**6\/15 + p**4\/4 - 3*p**2\/2 - 18*p. What is the third derivative of t(o) wrt o?\nAnswer: -120*o**2 + 528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 252.6?\nAnswer: 1515.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - d + 0*d**2 + d**3 + 3*d**2. Let z be g(-4). Solve z = -2*n + 5*q + 15, -7*q + 2*q - 15 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:15 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 436\/5 - 87. Which is the third smallest value? (a) l (b) 5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272117795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * 3237\nAnswer: -8416.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1192 = 19*x - 15*x. Let t = -1189\/4 + x. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122672 - -4?\nAnswer: 122676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17359187 is divided by 5786384?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -m. Suppose 2*q = 5*k - 337, -3*q = -k - m*q + 65. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 27 = -2*x. What is the common denominator of (-87)\/x*(-30)\/35 and 69\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**4\/12 + 19*n**3\/6 + n**2 - 4*n. Let y be i(-7). Put -2, 20, -1, y in increasing order.\nAnswer: -2, -1, y, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1526261 (base 7) to base 10\nAnswer: 208685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 196\/35 + -6 + (-27)\/(-5). Suppose -4*s = g + 11, 0 = -5*j + 3*s - 63. Let t be (j\/(-21))\/((-4)\/(-28)). Sort -1, t, -3 in ascending order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/45 + 8\/(-20))*5. Put 17, -3, -6, w in descending order.\nAnswer: 17, w, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + 2*w, 0 = 4*k - w - 9 - 4. Suppose 3*c - 20 = 2*m - 2*c, -m - 16 = -k*c. Sort 2, -4, m in descending order.\nAnswer: 2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -782.4.\nAnswer: -4694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 177*i**2 - 202*i - 61. Is a(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-20)*((-1620)\/(-548) + -3). Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -3*u**5\/20 + 7*u**2\/2 + 8*u. What is the derivative of n(t) wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86.2 + 85.1. What is the closest to 0.3 in o, -0.2, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from onsskonozois.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n**3 + n**2 + 1. Let h = 17 + -23. Let i be m(h). Suppose -2*g + i = 167. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 635757.\nAnswer: -635753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -1, -2, 0.2, -116, -5 in descending order.\nAnswer: 0.2, -1, -4\/3, -2, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5 + 1222*a**4 - 273*a**3 - 1222*a**4 + 30*a**3 - 84*a**2 wrt a?\nAnswer: -120*a**2 - 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let x(y) = -2*y**2 - 8*y - 8. Let o = 72 - 96. What is o*v(h) - 3*x(h)?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/2, -4, 1.2, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145160, -142, -1\/26, 0.4.\nAnswer: -145160, -142, -1\/26, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 + 14*(-2)\/4. Let p be j\/8 - (-315)\/20. Suppose 0 = 6*k - 3*k + p. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 301*i**2. Let r(m) = 2051 - 2051 - 2*m. What is c(r(l))?\nAnswer: 1204*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54100, -54094, -54092, -54100, -54124, -54170, -54244?\nAnswer: -54352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbb when three letters picked without replacement from brblmlh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 - 30 - 37 - 2*m - 3*m as d*m + t and give t.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 + (-62)\/(-2). Let c(u) = 47*u - 172. Let q be c(12). What is the first derivative of -q*h + 392*h - 17 - b*h**4 wrt h?\nAnswer: -124*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose 91 = -l*o + 5*t, -o = -2*t - t + 47. Let x = o - -58. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 35 = 51. Suppose -i*w = -38 - 346. What is the highest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/228)\/(2\/8)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1 - (20 + -27). Find the second derivative of 19*o**a + 2*o - 19123*o**4 + 19125*o**4 - o**2 - 13 + o**2 wrt o.\nAnswer: 380*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -13*u**2\/2 + 11*u - 1. Let y(n) = -n - 4. Let m be y(-4). Let f(i) = -6 + 4*i + 3*i + m*i. Calculate -11*f(a) - 6*l(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u**3 + 2*u**2 + 2*u. Let s be w(-1). Suppose s*q = 113013982 + 130586018. Round q to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*u - 3, 5*u = 4*j - 5 + 36. Suppose 8 = -2*n + 6*n. Solve u*b + 11 = n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -255*p**2 + 8 - 1 - 7 to the form s*p**2 + y + x*p and give s.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let p(d) = 19*d - 8. Suppose -2*n - 12 = 2*a, -6*n + 2*n - 5*a = 29. Let k(r) = n*p(r) - 4*o(r). What is the derivative of k(h) wrt h?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25543 and 4508770?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -202520?\nAnswer: -202522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.0095, -3168\/5?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 109067260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*1*((-12)\/8 - -1). Solve -4*k = 2*d - 6, -2*k = -6*k + f*d + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.15 (b) -34\/7 (c) 4 (d) 10\/9 (e) -0.5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05487911 times 4\nAnswer: 0.21951644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w + 354 = 0. Let t = -8 + w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94342858 is divided by 170.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 + 80*j**3 - 315*j**2 - 530*j + 760 = 0. What is j?\nAnswer: -19, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 - 1370\/7. Sort -0.8, x, -0.02 in ascending order.\nAnswer: -0.8, -0.02, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*o**2*s**3 + 208*o**2*s + 29*o**2 - 46*o*s + 159812*s**3 + 9 wrt s?\nAnswer: 390*o**2*s + 958872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((-1)\/(-3) - 0). Let j = -141 + 138. Which is the closest to u? (a) -0.4 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -556\/7*o**3 - 1940\/7*o**2 - 76\/7*o**4 - 2000\/7 - 3200\/7*o - 4\/7*o**5.\nAnswer: -4*(o + 2)**2*(o + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86235093 divided by 28745031\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162 - 146. Let d be 1539\/12 - (-2)\/(-8). Calculate the highest common divisor of x and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 45. Let t = 34 - d. What is the closest to -2\/9 in t, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.014 (b) 1\/5 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1227 - -13.3647. Let c = l - 0.242. Put c, 5, 3\/5 in increasing order.\nAnswer: 3\/5, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 7*o**2 - 2*o - 10. Let s be k(-7). Suppose -3*x + 210 = s*z, 3*z - z + 210 = 3*x. Suppose -2*r + 0*r + x = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.48 times -0.9?\nAnswer: 131.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1080\/(-21))\/(-8) + 1 and 44\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12645 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) - (-2233)\/(-165). Let k = w - -14. Let b(l) = 2*l - 1. Let r be b(-1). Sort k, r, 3\/4.\nAnswer: r, k, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -1.3. Let p = -3 + -2. Which is the second smallest value? (a) q (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**3 - 52*l**2 - 19*l + 91. Is g(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/136824 and -101\/1008.\nAnswer: 5746608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6149.8 or 4\/331?\nAnswer: 4\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.11072 months in decades?\nAnswer: 1.584256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - 177*k + 1109. Calculate d(-95).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4203 - -4233)*(-24)\/10.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 740\/7 + -1011\/14. Let d = -33 + t. Determine i so that d*i**2 - 1\/2 + 0*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 420, 843, 1266, 1689, 2112, 2535?\n\"Answer: 423*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23890429 a multiple of 1717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -189841, -379643, -569455, -759283, -949133, -1139011, -1328923?\n\"Answer: -h**3 + h**2 - 189798*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.447 - 0.997. What is the nearest to t in 3\/5, 1\/4, -0.1, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**3 - 5*y**2 + 105*y. Let i(n) = -25*n**3 - 14*n**2 + 313*n. Determine -4*i(p) + 11*x(p).\nAnswer: p**3 + p**2 - 97*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114430.\nAnswer: 2, 5, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2.1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -1) + (-8)\/(-16)*-932. Let n(l) = 58*l**2 + 3*l - 4. Let z be n(-5). Let k = v + z. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 22.5, -7, 1\/5, 74?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. Suppose 3*k - 4*k = -3*w + 21, 0 = y*w - 16. What is the units digit of 3\/k + 26\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:59 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118828 is divided by 118231?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -14. Let k = 12 - a. Find the third derivative of -5*s**2 + 2*s**k + 2*s**2 - 4*s**4 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390192 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5\/2 + 13*h**4\/2 - 3*h**3 - 13*h**2 + 3*h\/2 + 13\/2 = 0. Calculate h.\nAnswer: -13\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*k**3 + 3986*i*k**2 + 812*i + 2*k**3 + 2*k**2 + 148*k + 8957 wrt i?\nAnswer: -k**3 + 3986*k**2 + 812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20157001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/3 - 35613642*i**3 + 634165783865720*i**2 - 11292479768449842359200*i\/3 + 11292474060958749136000 = 0.\nAnswer: 3, 17806820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 2*j**6\/15 + 19*j**5\/20 - 27*j**2\/2 + 82*j. What is the derivative of g(i) wrt i?\nAnswer: 16*i**3 + 57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + t - 295. What is l(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-657)\/(-438))\/((-15)\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33\/25 + -241\/50. Let l(c) = -c**2 + 6*c - 4. Let z be l(5). Let h = -5.3 + 5. Put g, z, h in increasing order.\nAnswer: g, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7*u**5\/60 + u**4\/12 + u**3\/6 + 3*u**2. Let o be b(-1). Solve -5*v = -l - 7, 3*l - o*v = -2*v - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*w - 8*w + 1394, 4*w - 2796 = -4*q. List the prime factors of q.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 1205 = -7743. List the prime factors of s.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2*n = -8*g + 12, -45 = -4*g - 3*n. Suppose s - 2*z = -4, -s + g = 3*z - 2. Suppose -a - s*a = 0. Put -2, a, 11 in decreasing order.\nAnswer: 11, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.31 + -0.31. Let a = -40 + t. Let z = 8.6 + a. What is z rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(500) - 2*(-1 + sqrt(500)) - sqrt(500) - sqrt(500)) + 4*(sqrt(500) - (sqrt(500) + -2))))**2.\nAnswer: -15000*sqrt(5) + 115000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**5 - o**4\/3 - o**3\/6 + 3*o**2 - 42*o - 7. Let p(t) be the first derivative of u(t). What are the prime factors of p(-2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 4\/15*i**3 - 1\/15*i**4 + 0*i**2 - 1\/25*i**5 - 6*i + 32. Let v(n) be the first derivative of l(n). Solve v(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 4 + -5 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 51 = -50 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2406221, -2 in decreasing order.\nAnswer: -2, -5, -2406221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (37 - 34) + (0 - -3 - 30)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 + 7*i**2 + 2*i - 3. Let b(d) = 11*d**3 - 14*d**2 - 5*d + 7. Let m(p) = -4*b(p) - 9*r(p). Let t = -16 - -23. List the prime factors of m(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -1249.68 from 1.5804.\nAnswer: 1251.2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 56. Suppose -4*z + 408 = x*z. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {u: 1, l: 1, k: 1, d: 1, w: 2, h: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - -2.5. Let y = 107406 - 107401. Which is the biggest value? (a) -0.3 (b) m (c) 49 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h - 3. Let w(k) = 80*k + 14. Let i(r) = -6*w(r) - 28*x(r). List the prime factors of i(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 2*w**2 + w. Let p be a(-1). Suppose p*g + s - 30 = 0, -3*g + 5*s + 65 = 7. Suppose 5*y + 3*v - 50 = -g, 3*v + 38 = 4*y. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12130 + 12115 + (-1 - (-1 - 5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -3, -113, -0.01, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8133989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163307298 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/56 and 115\/108.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 23 + -74 + 68.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 2711850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-99)\/(-90) + 6\/(-4). Let y = 64.3 + -64.4. What is the closest to 2 in y, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**2. Let v(f) = 17*f**2. Let a(w) = 5*b(w) - 4*v(w). Let i(c) be the second derivative of 25*c**4\/12 - 2*c. Give i(a(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 2*q**2 - 3*q - 2. Let x be s(-2). Let i(w) = w**3 + w**2 - 9*w - 2. Is 21 a factor of i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*v - 14 = 0, 3*g + v - 14 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 21*f**2 + f - 36. Let b(a) = 35*a**2 + 2*a - 61. Let n(v) = 7*b(v) - 12*w(v). Let o(r) = -r**2 + 1. Determine n(t) - 4*o(t).\nAnswer: -3*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 + 2*y + 1. Calculate u(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5) + (2 - 0) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.03, 98 in descending order.\nAnswer: 98, 3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/2 - 1) + 400. Suppose -c = -4*j + 199. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7960 + -677. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100576?\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138765 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + -25 + (-8 - (-27 + 49))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/20)\/(3\/12*-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -234. Let s = -108 + y. Let m be 51\/(-68) + 0\/(2*s). Which is the second smallest value? (a) -84 (b) m (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61015972531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226392*0.3.\nAnswer: 67917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2. Let w(g) = -469*g**2 + 10*g + 1. Give w(l(t)).\nAnswer: -4221*t**4 + 30*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7573 is divided by 407?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 23. Let j be 0 + 0 + (-30)\/(-7) + -3. Let v = j + -41\/21. Which is the fourth biggest value? (a) 1\/4 (b) -3 (c) v (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*(q*q*q**(-37)*q*q)\/q*q)\/q)\/q)\/q)\/q*q*q**(-3\/4) assuming q is positive.\nAnswer: q**(-139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 40*j - 226. Let l be o(5). Let i(z) = z**3 - 14*z**2 + 14*z - 9. Let k be i(13). Let v = k - 6. Put l, v, 1, 19 in increasing order.\nAnswer: v, l, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284675*g + 284675*g - 2*g**3 - 27*g**2 + 27*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.05 - 4. What is the smallest value in -1, d, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*g = -18, 2*g + 10 = 2*f - 2*g. Let t be (-1 - 2*f)*(-4 - -6). Let s = 5 + -1. Solve t*x - 14 = -s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(((b\/(b*b**(-1\/5)))\/b*b)\/b)\/b))\/(b\/b**(-1\/5)))**(-2\/103) assuming b is positive.\nAnswer: b**(-6\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -56. Let l be (0\/1)\/(i\/8). Suppose z = 7 - l. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11496 + 11496.3. Let p = 86152\/7 + -12468. Let l = -161 - p. Which is the biggest value? (a) r (b) -0.5 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 - -4.06. Let c = 1.2 - a. Put 0.5, 1\/6, c in increasing order.\nAnswer: c, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988192076.\nAnswer: 2, 3467, 71257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from isos?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 906686.6 to the nearest one hundred.\nAnswer: 906700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 100*k. Let f(p) = -3290*p. Determine f(y(b)).\nAnswer: -329000*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 2*h - 1. Let z be 0 - (7 + -2 + 1)*2. Let b be ((-9)\/(-6))\/(18\/z). Let u be v(b). Solve 7 = 4*k - u*p + 15, 0 = 4*p - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -22*p**2 + 43*p - 12. Let d be n(6). What is d rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40850, -40980, -41198, -41504, -41898, -42380, -42950?\nAnswer: -43608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(10)*-1)\/(sqrt(5) - sqrt(720)\/sqrt(9) - sqrt(5)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 1142, 2423, 4216, 6521, 9338?\nAnswer: 12667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -4, -5, -8, -6 in ascending order.\nAnswer: -8, -6, -5, -4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4*i - 17 = 0, 0 = -2*y + 13*i - 15*i + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-239)\/(-18) + 4\/18. Suppose -79 = -5*f + h, -4*f + 61 - 21 = 5*h. Let i = f - k. Sort -5, i, -1\/3 in decreasing order.\nAnswer: i, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/12*(-1 + 1). Let r(x) = -x - 3 + i + 7. What is r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from nnnnjxuqnnuunxqud.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9044 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25566986?\nAnswer: 2, 12783493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2527 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 549?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 + 673 = -28*s + 272 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 7)*(i + 4 - 4) + 0*i - 2*i + 3*i + (-3 + 4 - 3)*(-4*i + 2*i + 5*i) + 12*i - 49 + 49 to t + z*i and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 225267.3 hours in days?\nAnswer: 9386.1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - 9*o**2 + 33*o - 11. Let s(x) = 2*x**3 + 2*x**2 + 2*x + 1. Let v(n) = 2*s(n) - z(n). Determine v(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.24. Let x = l + -0.04. Let j be (-1 - -2) + 3*-1. Which is the second biggest value? (a) 5 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281648?\nAnswer: 2, 29, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.6 - -23. Let g = 2 + -3. Which is the nearest to g? (a) u (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -31\nAnswer: -34.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22 - 35 + 3*x - 145*x**3 - 120*x**3 - 76*x**3 wrt x.\nAnswer: -2046*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2073346l in millilitres?\nAnswer: 207.3346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 477421 (base 8) to base 11\nAnswer: 101a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 10. Let h be (-12)\/20 + p\/10. Let b(u) = -4*u. Calculate b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34255)\/(-2635) + (-2693)\/207. Let s = 3 + -3.1. What is the nearest to s in x, -4, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 2*h - 4. Let z be n(6). Let l(t) = 3*t - 6. Let f be l(5). Suppose a = -f + 37. Calculate the highest common divisor of a and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18098*n**2 - 18098*n**2 + 37*n**3)*(1 - 2 + 3 + (0 - 1 - 1)*(-3 + 2 + 2) + 6 - 3 - 1 - 4 + 8 + 2).\nAnswer: 296*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((16\/4)\/(-4))\/1)\/((-46)\/4).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 661304027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x - 794*x - 26195 = 0 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1333 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 40?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 649 and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-54)\/(-4). Let c(i) = -2*i + 78. Let j be c(26). What is the greatest common factor of o and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11859*t + 3 - 3 - 10*t**2 - 9*t**3 + 11896*t.\nAnswer: -9*t**3 - 10*t**2 + 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4120751246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m**4 - 5 + 2*m**2 - 595*m**3 - 608*m**3 + 1200*m**3 + 28*m to the form l + h*m**2 + o*m**4 + x*m**3 + i*m and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r**(2\/81)*r)*r**(1\/7))**(-33) assuming r is positive.\nAnswer: r**(-6974\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293.36 - 9.4. Let t = 298 + y. What is t rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) 2\/7 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/22*(-1)\/(-19)*4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115235 is divided by 140.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*x = -2*q - 18, 4*q = -5*x - 3. Suppose n = -q*z + 69, -3*n - 2*n - 7 = -z. Calculate the smallest common multiple of 4 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3\/7 + 2256908*l**2\/7 - 318353235980*l\/7 + 318350979076\/7 = 0. Calculate l.\nAnswer: 1, 282113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10130100110 (base 5) to base 7\nAnswer: 154226365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/9)\/(t*t**(-2\/5)))**(-18))**(-40))**(1\/18) assuming t is positive.\nAnswer: t**(-296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 + 4*n - 7. Let z(q) be the third derivative of q**5\/60 - 5*q**4\/12 + q**3\/3 - q**2. Let k be z(9). Is w(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484.4225ng to tonnes.\nAnswer: 0.0000000000004844225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7709621 - -0.771. Round w to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/133 - 6\/19. Put -0.5, -0.1, b, 0.1 in decreasing order.\nAnswer: 0.1, -0.1, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 542107*l**4 - l**2 - 1859307*l?\nAnswer: 6505284*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v**3 - 38*v + 12*v**3 + 33*v**3 - 45*v**3.\nAnswer: 25*v**3 - 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9447127, -9447129, -9447131, -9447133, -9447135?\n\"Answer: -2*a - 9447125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1276929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3594 + 2352 - 5431 + 2*t)*(-4 + 6 - t - 3) to the form x*t**2 + h + s*t and give h.\nAnswer: 6673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 8. Let f = p + 4.3. Let y = -0.07 - -0.27. Which is the third smallest value? (a) 1\/3 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1613 - 2*y**3 - 182*y**2 + 996 + 182*y**2. Is t(0) 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 xqfgffgfppqkqx. What is prob of sequence gg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7935*b**3 - 7624*b**3 - 320*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-4)*t*t**(7\/3))**(7\/4)\/((t\/(t**(-2)*t))**(-4\/5)\/(t**0\/(t**5*t))) assuming t is positive.\nAnswer: t**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 23*w - 35. Let t(f) = -8*f + 12. Suppose 4*n - 3 = 9. Let p(h) = n*r(h) + 8*t(h). Calculate the remainder when p(10) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/4 + 2369*b**3\/2 + 17808*b**2 + 149695*b\/2 + 232897\/4 = 0.\nAnswer: -7, -1, 4753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -g - 5 - 0, 3*p + 5*g + 25 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 18285985.\nAnswer: 19\/18285985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.12 + 0.12. Let g be (-1430)\/(-429)*18\/40. Let h be ((-5)\/(-4))\/(1\/(-4)). Which is the closest to w? (a) g (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y**2 + 3*y + 4. Let l be k(5). Let j be (2\/l)\/(11\/6). What is the biggest value in 1\/2, j, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 9*q - 49 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Let g(h) = -h**2 - 5*h**2 + 4*h**2 + h**3. Give g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = 0, -2*l + 3*m - 8 = -l. Let s(v) = v - 10. Let g be s(11). Let r be (g - l) + 17\/(-5). What is the nearest to 0.1 in -2, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71.2 - -66. Let y = -7 - w. What is y rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15241 and 739.\nAnswer: 15980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + 115. What is the least common multiple of 54 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*j - 14 - 0, 3*j = -2*a + 10. What is the least common multiple of 3*(2 - -2)\/2 and 3\/a + (-135)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24075.75776 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.0215?\nAnswer: 0.1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least as big as 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 2\/(3 - 5). Is b at most 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -19*g - 204. Let t be b(-11). Let p = 2 - -1. Put t, p, 4 in descending order.\nAnswer: t, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168311323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1736 and 56266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/9 + 286*v**3\/3 - 189913*v**2\/9 + 834716*v\/3 - 2315092\/9 = 0. What is v?\nAnswer: 1, 13, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let z(l) = 2*l - 4*l + 15 - 4 - 11*l. Let v(w) = 3*w - 3. Let a(d) = 22*v(d) + 6*z(d). Give o(a(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**2*j*y**3 + 45*a**2*j*y**2 - 208*a**2*j + 150*a*j*y**3 - 30*j*y**3 - 19*j*y**2 wrt y.\nAnswer: 18*a**2*j + 900*a*j - 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1566 + 1562.2827. Let y = d - -0.0153. Round y to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) 3\/5917 (c) 447 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1.2, 7, 8\/915, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffuffkufufkkffuukff. What is prob of sequence ukf?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((105\/(-20))\/(-7))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(136) - sqrt(136)*-4) - sqrt(136)) + sqrt(136))\/sqrt(8).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 309\/599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + h**3 - 4*h**3)*(4*h - h - h) + 21*h**4 - 34*h**4 + 61*h**4 - 3*h**4 + 2*h**4 + 5*h**4.\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4785 and 881933517?\nAnswer: 881938302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13802061 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 + 118517\nAnswer: 118518.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-84))\/((-27)\/216). Let s = -3.2 + 0.2. Let j = s + 2.8. Which is the nearest to 2\/7? (a) -20\/7 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95845950 divided by 19169190\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 3)\/(10\/5). Let i be 3\/12 - g\/(-4). Suppose -t = -i + 1. Let w(a) = -7*a**3 - 1. What is w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -19. Suppose -3*k + 8 = 2. Suppose -2*a + 2*d + 1 = 3, k*a + 2*d = 18. What is the smallest common multiple of z and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9655 = 185*y + 471*y - 8057 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635808 is divided by 56407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from veye.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115*u**3 + 98.\nAnswer: 345*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 49. Suppose 2*t - 4*p = 30, -2*t + 25 = t - 2*p. Suppose -3*d + t = -31. Calculate the highest common factor of d and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a**4\/5 - 195258*a**3\/5 - 5848956*a**2\/5 + 3390088*a\/5 - 486576\/5 = 0 for a.\nAnswer: -1962, -31, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -65*x**2 + 0*x - 49\/2*x**3 + 0*x**4 + 0 - 1\/60*x**5. Let o(k) = 2*k. What is z(o(m))?\nAnswer: -4*m**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, a: 2, l: 1, i: 2}. What is prob of sequence aa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Rearrange -10*r**4 + 38*r**4 + r**3 - 2 + 179*r - 24*r**4 to the form d + o*r**3 + x*r + u*r**4 + b*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-1)\/20). Let l(u) = u**2 + 7*u - 5. Let h be l(k). Suppose -5*z + 2*w + h = 0, -5*z - 6*w + w = 10. Solve 8*d = z*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147898842 divided by 42.\nAnswer: 3521401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/221 - 1900\/(-2470)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*o*z**2 - 3*o*z + 5977*o + 306*z - 2 wrt z.\nAnswer: -26*o*z - 3*o + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 9}. What is prob of picking 2 c?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukuykujuuk. Give prob of picking 1 y and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2730974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 - 1253036?\nAnswer: -1253038.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 50, 3 in descending order.\nAnswer: 50, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -7*x + 25 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 8*n + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5333*d = -5358*d + 1725. Solve 76*l - d*l = 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 18, q: 2}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 9 - 19. Suppose 3*z - r*z + 23 = 4*q, -13 = -2*q - z. Suppose 2*a - q*a = -104. Solve -4*d - 3*x + 5*x = a, -5*x = -4*d - 41 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21\/25 - -73\/75. Let g(f) = -f**3 + f - 2. Let w be g(-2). Which is the smallest value? (a) w (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832256 and 1221632?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -131, -310, -565, -896?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 1*-3*sqrt(19) + -4)**2 + 4.\nAnswer: 36*sqrt(19) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.11 (c) -61 (d) 0.7 (e) 1 (f) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/880 and 37\/55?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/18 and 44\/513.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422431085.\nAnswer: 5, 19, 4446643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1821.53, 15, -4, 3 in ascending order.\nAnswer: -1821.53, -4, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let o(s) be the third derivative of 206*s**5\/15 + s**3 + 6040*s**2. Calculate v(o(p)).\nAnswer: 824*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9156758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(160)\/sqrt(4))\/sqrt(10))*5 - ((sqrt(108)*-1)**2*-4 + sqrt(108))*-3.\nAnswer: -1296 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/125 and (135\/(-20))\/(-9) + (-1851)\/1500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + (-27)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 7*q - 3*z - 9 = 0, 3*z = -4*q - 44 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7915\/2937 + 16\/89. Calculate the common denominator of 77\/12 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51984379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*m + 156*m - 19278 = 0. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30025, -59942, -89859, -119776?\nAnswer: -149693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -126, -184, -240?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5 + 100*x**4 - 252*x**3 - 11380*x**2 + 11144*x + 258720 = 0.\nAnswer: -22, -12, -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - ((-1576)\/2)\/1. Calculate the remainder when 19 is divided by (-4)\/26 + v\/78.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0126052 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -119, -267, -521, -917, -1491?\n\"Answer: -6*s**3 + s**2 - 39*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/(2*(-2)\/8). Calculate the greatest common factor of l and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, f: 14}. Give prob of picking 1 l and 3 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626, 614, 588, 542, 470, 366?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/425*4\/(-6)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a - 142 = -131 + 213 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -30.794 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**3 - 85*u**2 - 2*u. Let y(j) = -7*j**3 - 85*j**2 - 2*j. What is 5*a(q) - 6*y(q)?\nAnswer: 2*q**3 + 85*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -16, 2 in decreasing order.\nAnswer: 2, -4, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zytmyqfz. Give prob of sequence fzty.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*f - 209*f - 18. Let b be (-16)\/10 - 28\/70 - f. Let t(h) = -h - 7. Let l be t(-7). Solve -b*o + n = 25, l = -2*o + 4*n - 24 - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 0.08 (b) -3 (c) 638\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.2 - -6. Let l = z - -0.2115. What is l rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)\/1*-2. Suppose 0 = -4*d - 3*l + 27, 5*l - w = d - 3. Factor 3*p**2 - d - 9*p**3 + 0*p**3 + 0*p**3 - 2*p**4 + 9*p + 5*p**4.\nAnswer: 3*(p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9*((-7 - 4) + -4). Put i, 2, 1 in decreasing order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -26. Let a(b) = -b**2 + 9*b - 20. Let i be a(r). Suppose i = -5*j - 6*j + 638. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 8*l**2 - 13*l + 11. Let w be n(-4). Is ((-2)\/(w + 3))\/((-6)\/9066) 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 465 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405 a factor of 79672490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 94.18908g?\nAnswer: 94189080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 15) in base 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3552096 to the nearest integer?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232303320 + -33?\nAnswer: 1232303221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -25*t. Let m(q) = 3*q**2 + 167068*q. Determine y(m(v)).\nAnswer: -75*v**2 - 4176700*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(833) + 4 + sqrt(833) - sqrt(833) - (1 + -2*sqrt(833))))**2.\nAnswer: 6048*sqrt(17) + 480132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 1. Suppose w + 3*m = -m - 10, -a*w = -4*m + 26. Let t = 12 + w. Calculate the remainder when 15 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 6 = 18*q - 22*q, -5*n - 13 = 3*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 27 - 3. Let c = 20 + -14. What is the remainder when (-9)\/(-9)*s\/(-2) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1052 and 472.\nAnswer: 124136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -36*w + 810. Calculate x(21).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 30380186503\nAnswer: 30380186486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1491468*m**4 - 6*m**2 - m - 571658354 wrt m?\nAnswer: -5965872*m**3 - 12*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45435 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, j: 1, i: 2, o: 7}. Give prob of sequence bjob.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 6.8. Let a = -4.2 + k. Let l = a + 11. What is l rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 - (-3)\/6. Let h be (2 - (5379 - x))*80. Round h to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 32. Suppose -z - 2*k + 20 = x, -2*k = 3*z - 20. What is the smallest value in 0.3, z, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345104 a multiple of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8992 - 31470 = -2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4, 3*c = 5*p + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(64)*-3))**2 + -4 - (1 + (((sqrt(22) + sqrt(792))\/sqrt(2))**2 - sqrt(11))*1).\nAnswer: -78325\/144 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -1, 174, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3623, -14243, -31943, -56723?\n\"Answer: -3540*h**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z - 24. Let n be (0\/(-2))\/(z\/8). Solve n = 2*h, -3*v = v + h - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3.72, 4.\nAnswer: -3.72, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 53 = 82*m. Let h = 0.9 + 4.1. Which is the fourth biggest value? (a) m (b) 0.3 (c) h (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346883127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -17, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 40\/7*c - 3\/7*c**3 + 11\/7*c**2 + 12\/7 = 0.\nAnswer: -2, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -674, -1346, -2018?\nAnswer: -2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 17*i - f - 13, 2*f = -3*i - 4. Suppose 20*h = -i*h + 881518. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23459000 rounded to the nearest one hundred thousand?\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5\/(j*j\/(j**(-3)*j))*j**(3\/7)*j*(j**(-2)*j)\/j*((j**(-1\/4)\/j)\/j**(-4\/5))\/(j**(2\/5)*j)**(-11\/4) assuming j is positive.\nAnswer: j**(134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/8 - 90\/(-72). Calculate the highest common divisor of k and 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210565 is divided by 712.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 6 - 7 + 10*h - 7*h + 8 to p*h**2 + r*h + f and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2597099 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5063461 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55570 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3245\/17995)\/(66\/6).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224100 - 104?\nAnswer: 223441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m + 4*n, -5*m + n + 4 + 6 = 0. Suppose 4*j = -4*h - 0*j + 1280, -6 = m*j. Solve -y**2 + y + 4*y + 319 - h = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -20. Put j, -5, -5\/4 in increasing order.\nAnswer: -5, -5\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*b - 27*b**5 + 8*b - 18*b wrt b.\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*p - 14, -30 + 5 = -5*p - 5*b. Let c(d) be the third derivative of 0 - 1\/24*d**4 + 1\/2*d**3 + 0*d - d**p. Determine c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1279 - -1871. Does -2\/3 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 106409*h - 425607. Give n(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 41*t**2 + 2*t + 2226. Give l(40).\nAnswer: 3906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5600)*2 + sqrt(5600) - sqrt(5600))\/((sqrt(96)\/sqrt(4))\/sqrt(3)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 12. Let i be y(-8). Suppose f + 3*j + 5 = 0, i*j + 3 = 3*j. Suppose -2*p + f*a + 130 = 0, a + a = -2*p + 112. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -55*p + 894. Let o be h(12). Let l = 22 + 213. Is l at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*j = -98*j. Suppose 30*l - 36*l + 30 = j. Suppose 0 = -5*a - 3*t + 61, -l*a + 38 = -a - 3*t. What is the highest common factor of 176 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55270 is divided by 422.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -158, -241, -324?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7 + 2*m + 210*m**2 - 428*m**2 + 220*m**2. Calculate s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*x - 3*t - 6, 4*t = 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49 and 302256.\nAnswer: 302305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 465 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c + 25*c + 24*c - 54*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65196, 65202, 65208, 65214?\nAnswer: 65220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-14 + 37 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -383a + -18?\nAnswer: -3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/35, -2\/24791, -0.01, -3, -1\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/105)\/((35\/(-63))\/5).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 35. Let w be p(47). Solve 2*q + w = -u, 4*q = u - 6*u - 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1281, -1655, -2041, -2445, -2873, -3331?\n\"Answer: -a**3 - 367*a - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, -6, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(10\/7)*g\/(g\/(g**2*g)))\/(g*g**0*g*g**(4\/5)\/g*g) assuming g is positive.\nAnswer: g**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 614, -2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 928\/(-580)*((-362)\/(-52) + -18 + 11)?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 + 271 - 4*z - 605 - 5*z**3 + 4*z**3.\nAnswer: -z**3 - 4*z - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90877963?\nAnswer: 11, 43, 229, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2 (c) -0.5 (d) 1\/3 (e) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {w: 7, a: 3, g: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 247160.\nAnswer: 247160.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 9. Let t(l) = 161*l - 492. Let p be t(3). What is u(p)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 - 9)*(-2*p - 2*p + 2*p)*(-186 - 261 + 56).\nAnswer: -6256*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5 - 132*f**4 + 1452*f**3 = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8559336869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from {r: 3, w: 3, t: 1, z: 7, g: 2, x: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91, 93, 95, 97?\n\"Answer: 2*k + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 5:04 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + (13 + -4 + 0 - 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 12. Suppose -x*c = -3*c - 4*a - 38, -3 = a. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.25.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 242\/15 smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9727891.4 to the nearest one thousand.\nAnswer: 9728000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, -4, -7252 in increasing order.\nAnswer: -7252, -277, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27205 is divided by 13437?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11962860*f*r**2*s + 2*f*r*s - 3*f*r - 11*f + 5*r*s - 152*s wrt r.\nAnswer: -23925720*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c2fc + 3?\nAnswer: -c2f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 23*z**2. Let u(g) = -58*g + 47*g - 41*g + 4*g - 70*g. Give y(u(v)).\nAnswer: 320252*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-359*a - 1 + 733*a - 350*a - 2)*(-12*a - 7*a**3 + 12*a) to the form i + t*a**3 + b*a**2 + n*a + w*a**4 and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = 24594. Let w be 5\/(5\/j) - -1. Let c = w + 163983\/20. Calculate the common denominator of -37\/8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -294 - -343. Suppose -41 + i = -4*s. Let n be ((-1)\/(-3))\/((-5)\/6). Which is the nearest to n? (a) s (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -506\nAnswer: -1\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 25 = 0, 3*o - 41*y + 38*y + 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 90, 261, 590, 1131, 1938, 3065, 4566?\n\"Answer: 9*i**3 - 2*i**2 + 10*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 104*z**3 + 24*z**2 - 18*z. Let y(p) = -41*p**3 - 10*p**2 + 7*p. What is -5*s(l) - 12*y(l)?\nAnswer: -28*l**3 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*d + 5*i, 19 - 7 = 4*d + 4*i. Suppose 0 = -2*h - 5*k - 9 - 16, -d*k - 15 = 0. Suppose 0*w + w - 13 = h. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 181 - 749. Is o a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2665*l + 43434 + 165360 = -1874*l for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -57\/4. Let s be 547\/12*(-4)\/3. Let w = s + 61. Put w, o, 0 in descending order.\nAnswer: o, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31849*p**3 + 63740*p**3 - 31871*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18 - 104\/(-24))\/((-1)\/(-9)). Sort -5, z, 21.\nAnswer: z, -5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 97*s**2 + 57*s - 434. Determine v(48).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3302*j + 191573. Determine i(58).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6300 times -0.078\nAnswer: -491.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -39. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -449*n**2 + 435*n**2 - 9*n + 915*n**3 - 916*n**3 - 11. Give b(-13).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23*(-2 + 3) + 0. Suppose -9 = 3*c - 4*u - w, 4*c - 4*u = 12. Let p be ((-12)\/20)\/(c\/10). Solve t - p = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 56*a - 6. Let s(m) = -29*m + 3. Determine -5*s(w) - 3*t(w).\nAnswer: -23*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1883200 and 10593?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 5 - (-22 - -18) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 8*h**2 - 6*h**4 - h + 6*h**4 + 2*h**4 + 6*h**2 + 2*h**3 in the form y*h + q + t*h**3 + k*h**2 + o*h**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7 + 8 - 4 + 4 - 2*r. Let p be q(6). Solve -f = -p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, l: 9}. Give prob of picking 4 k.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-6)\/4 - (-2)\/4. Suppose 3*y - 2*y - d - 11 = 0, 3*d + 15 = b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:11 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 872 and 3161.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23956661*-4.\nAnswer: -95826644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdhgdqglqdd. What is prob of sequence hgqd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4467721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r - r - 13*r + (0*r + r + 0*r)*(-5 + 3 + 3) - 2*r + 0 + 0.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 101111?\nAnswer: 101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*n - 326*n = -334866. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130*c**3 - 297*c**2 + 297*c**2)*(-4 + 4 + c).\nAnswer: 130*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(-3\/11))**48 assuming l is positive.\nAnswer: l**(1440\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2954 + -2614. What is the remainder when r is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 m when four letters picked without replacement from {o: 6, e: 4, h: 1, m: 7}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3*r*r**(-3)*((r\/r**(2\/33))\/r*r)**(-49) assuming r is positive.\nAnswer: r**(-1486\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/7 = -790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 5)\/(2 + -3). Let l = 3 + t. What is the smallest common multiple of 22 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 + 1701. Let p = -396 + u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -407 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 16) to base 9.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/1153 - 3517\/33437. Let k = 20\/87 - y. Let x = 0.3 + 0.7. Which is the closest to k? (a) -0.2 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 7*c - 7*c + (2*c**2 + 0 + 0)*(-2 + 1 + 0) + (0 + 0 - c)*(3*c + 2*c - 2*c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3*x - 500 = 0. Let l = 62 + -68. List the prime factors of (l\/(-5))\/((-8)\/x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37881309 is divided by 10710?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -w. Is (-101)\/w + 5\/10 + 1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011775 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q = 2*q - 2*q - 276 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o. Let m(u) be the third derivative of u**4\/4 - 2*u**2 - 43*u. Calculate -4*a(x) - 4*m(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21899.\nAnswer: 61, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {h: 2, d: 2, t: 1, w: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 497*x**2 + 215*x + 1218. Does 21 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21585, -21580, -21575?\nAnswer: -21570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114517 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, 2, 106, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162424 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -330 + 330. What is the closest to -3\/5 in 5, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4911 is divided by -1 - ((-7196)\/91 + 4\/52).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65355 is divided by 778.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -915.99 + 913.99. Let k = -466\/9 - -52. What is the nearest to 0 in g, k, -3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4*s + 3. Let u(b) = -3*b**2 + 8*b + 5. Let r(i) = -3*u(i) + 5*y(i). Let f(o) = o**2 - o. Let j(c) = -8*f(c) + r(c). Factor j(x).\nAnswer: -4*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**3 + 0*b + 7*b**2 - 2 + 11\/4*b**4 + 7\/10*b**5. What is the second derivative of x(i) wrt i?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56b + 4?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1326298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3388*t**4 - 2*t**2 + 53*t - 1426724 wrt t.\nAnswer: -13552*t**3 - 4*t + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164370431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21497 and -0.4.\nAnswer: 21496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.605252 times 0.0272\nAnswer: -0.0164628544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 6, 10, 24, 54?\n\"Answer: q**3 - 4*q**2 + 5*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w + 10. Let t be g(-1). Sort 11, 0, t in decreasing order.\nAnswer: 11, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 5535?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4 + 14 = 0. Let k be 0\/2*(n - 1). Solve k = -h + 4*z, 5*z = -h + 2 + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56036569 * 0.4\nAnswer: -22414627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 7*s**2 + 17*s + 20. Let u be (16\/6)\/(3\/(-9)). What is the remainder when d(9) is divided by ((-14)\/u)\/((-3)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-16)\/(-8) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/5)\/((-11)\/((-16280)\/16)). Let h = 160 - j. What is the smallest common multiple of 22 and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 5 (c) 0 (d) -7\/3 (e) -26 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14585 - 13820 = -153*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 5709 and 0.081.\nAnswer: 5709.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/2)\/(2\/4). Let p = 26 - u. Let f(h) = 24*h**2 - 1. What are the prime factors of f(p)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648025614 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 689 + -665 + (-34 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soso when four letters picked without replacement from sssssssossos?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -11384.32 to the nearest ten.\nAnswer: -11380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321699.\nAnswer: 3, 7, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102771 = 3*q + 2*v, 8*q + 12*v = 5*q + 102801. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = 4*b + 3 + 57, -5*m + 128*b = 250*b - 127*b - 75 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0 + z**2 - 2*z - 8*z + 2 + 1. Let o be n(12). What are the prime factors of o + (3 - 1) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 438579527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 23, -2, 0, 7, -132, 5 in ascending order.\nAnswer: -132, -2, 0, 4, 5, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 46, -31, 3, 4, -16 in decreasing order.\nAnswer: 77, 46, 4, 3, -16, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 129195110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 2*(3 - 2). Suppose 5*k - k - 16 = 4*a, 0 = -p*k - 5*a + 30. Suppose -3*i + 3*d + 18 = 0, 7 = -d + 2. Solve -k*f + 15 = 0, -i = m - 5*f + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1152 - 645. Suppose 3*s - w = -0*s + 10130, 0 = 3*w - 12. Suppose -11*c + s = u. What is the greatest common divisor of c and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x**3 + 7*x**2 + 7*x + 7. Let l(h) = 3*h**3 - 2*h**2 - 2*h - 2. Determine -2*d(y) - 7*l(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-9 - (-156)\/18))\/((-2)\/(-4278354)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48346489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -837, -1679, -2529, -3399, -4301, -5247, -6249?\n\"Answer: -2*m**3 + 8*m**2 - 852*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**3 - 21*q**2\/2 - 21*q + 621. Let u(p) = p**2 - 5*p - 5. What is -5*m(x) + 21*u(x)?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {p: 1, u: 9, x: 5, b: 1, d: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27172807.\nAnswer: 541, 50227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -11, 0.05, -0.4, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 9}. What is prob of sequence ppzp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 6351 = -7911. Suppose 3060 = b + 4*c + 658, 0 = b - c - k. Suppose 3*p - 3*v = 2*v + b, -5*p - 3*v = -4004. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451577512 a multiple of 2041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1477350, 2954702, 4432048, 5909388, 7386722?\n\"Answer: -3*s**2 + 1477361*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133 - 0?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 4) in base 14?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 777 = -7*j - 5*h, -5*j + 1865 = -3*h. Let o = j - 376. Solve 0 = -o*f + 7*f + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -197d - -685?\nAnswer: -12d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 43*r + 273. Let i be d(35). Let t(k) be the third derivative of k**4\/8 - 7*k**3\/6 - k**2. Give t(i).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102000 (base 3) to base 12.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 9*b - 1744. Find the first derivative of -218*m + b*m + 9 + 21*m**3 + 21*m**3 wrt m.\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -282, -412, -540, -666?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 142 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f**2 + 18*f**2 - 10*f**2 - 19*f as k*f**2 + z + x*f and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 - -536. Let p = d + -202. Calculate the remainder when p is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z*z**(-10\/3)))))\/z**19 assuming z is positive.\nAnswer: z**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {z: 3, e: 1, c: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 157452, -3, 0.1, 2\/13, -0.5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d**2 - 4*d**3 + 115*d**2 - d**3 + 442*d - 440*d - 1 + 2*d**3 in the form o*d**3 + t + j*d**2 + x*d and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 - 52*q**2 - 42*q**2)*(0*q - 2*q + 0*q)*(1 - 4 + 4)*(-2 - 2 - 4) as u*q**2 + l + d*q**3 + s*q and give d.\nAnswer: -1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moasossnnmkss. What is prob of sequence as?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139f08 (base 16) in base 11?\nAnswer: 7a9127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*(-6)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -1, -0.03, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j - 9*j**2 - 12*j + (-4 - j + 4)*(-1162 + 1161 - 40*j - 12*j) in the form s + r*j + o*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*r + 2*r. Let f(o) = -o**3 + 6*o**2 + 6. Let z be f(6). Suppose p = z*p + r. Is -2 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -l - 3*j, -l + 2*j = 4*j - 68. Let a = l + -42. Let r be (-1)\/(3\/(-4))*(-33)\/(-2). Is r equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 16*c - 763 = 0. Let g = c - -112. Suppose 0 = -g*v, -4*x - v - v + 468 = 0. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/(-237))\/((2\/9)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 18*w**3 + 3*w - 2. Let v(o) = o**3 - 41*o**2 + 42*o - 79. Let n be v(40). Let u be m(n). Solve 0 = -u*g + 21*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 121184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - y + 4 = -11, 5*i = 3*y - 39. Let u = i + 6. Let h be (2\/3)\/((-4)\/(-6)). Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 13*m**2 + 44*m + 203. Calculate b(-11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l**2 + 16*l. Let w(h) = 3*h**2 + 3*h. Suppose 9*g = 4*g. Suppose g = 3*q - 8 - 25. Determine q*w(i) - 2*y(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 + 2*t**5 - t**5)*(-2 + 1 + 2) + t**4 - 9*t**5 - t**4.\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppa when three letters picked without replacement from {a: 13, p: 5}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvbx when four letters picked without replacement from gvxvgeebgeevxv.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 7. Let i be l(0). Let d = i - -9. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 10*u. Let v be 60\/(-9) - 2\/(-3). Does 13 divide j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -27*w - 15. Let u be x(-5). What is the greatest common factor of 72 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39887873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 18. Let a be g(13). Let w(l) = 42*l**2 - 9*l - 8. Is w(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1673270777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 9 + 0*v**2 - 4*v**2 - 3 + 12*v. Let p be f(8). Suppose 5*a = 5*s - p, -5*s + 12 = a + 2*a. Solve s*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13708, 26860, 40002, 53134?\n\"Answer: -5*h**2 + 13167*h + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.6 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(4\/(-4)) + 4. Solve 0 = -x*k - k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 3039, 7504, 13933, 22326?\nAnswer: 32683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a429 + -1a?\nAnswer: a40e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/7)))\/j**(8\/5)*(j**(1\/2)*j)**(-41) assuming j is positive.\nAnswer: j**(-4437\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38472394843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**3\/3 + 4*l**2 + 11*l - 1. Let r be n(9). Solve -10 = -r*s - q, -2*q = -15 + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/30 + (-24030)\/(-50). Let k = s - 481. Solve 5*v = -q + 6, 2*v + 4*q + 12 = -k*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -362968, -725926, -1088854, -1451740, -1814572?\n\"Answer: 2*v**3 + 3*v**2 - 362981*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1866219 divided by 2\nAnswer: -1866219\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(76) - ((sqrt(76) - 1*sqrt(76)) + sqrt(76) - sqrt(76)))\/sqrt(4) - (-1*sqrt(190) - sqrt(190))\/sqrt(10) - -4*(-5 + sqrt(475)))**2*-6.\nAnswer: -250824 + 22080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117) + sqrt(117))\/sqrt(9)*1)**2 + (sqrt(26)\/(sqrt(4)\/sqrt(2)) - (1 + sqrt(13)*1)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3776 + 3781. Which is the smallest value? (a) 0 (b) 1\/5 (c) m (d) 1\/57 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i - 6. Let v be d(-4). Let h = -13 + v. Let m(u) = u**3 + 2*u - 2. Is m(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 3*u - 4*f, 22*u + 14*u = 40*u - 6*f - 118 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7417 - -0.9.\nAnswer: 1.6417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 680*u - 1279. Let s be w(2). Solve s*y - 4*n - 17 = 76*y, 4*y - 7 = n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by -462?\nAnswer: 40\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 5556 = 10646. What is the remainder when r is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 + 20*t - 9. Let r be v(3). Sort -4, -11, r, 6 in decreasing order.\nAnswer: 6, r, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-61 - 0) + (9 - (33 - 11)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4578409\/70 + -65407. Calculate the common denominator of 85\/6 and i.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 651 + 426. Let l = -612 + g. Suppose 4*y = 9*y - l. What is the remainder when y is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34109 * 0.897.\nAnswer: 30595.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5 = -5*k. Let j(v) = -4*v**3 - 2*v**2 + 1. Let a be j(k). Calculate the remainder when (-22)\/a*(-10)\/(-4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -29*o - 516. Determine d(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 24. Suppose -3*h = -k*h + 42. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 - (1 - 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 868963268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3222 = 3*v, -8*v + 5*i = -9*v + 1088. Calculate the remainder when v is divided by 110.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/30 + (-105)\/(-42)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1.21?\nAnswer: 0.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 43, 67, 91?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -239*p**2 + p - 34862?\nAnswer: -478*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*v**3 - 4*v**3 - 51*v**3 - 38*v**3 - 53*v**3 - 47*v**3.\nAnswer: 129*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**4 + 0*m - 1\/840*m**6 - 55*m**2 + 5\/84*m**5 + 0 + 24\/7*m**3. Factor r(j).\nAnswer: -(j - 12)**2*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 1260*c**2 - 1256*c.\nAnswer: -4*c*(c + 1)*(c + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*p + 25, -3*z - 14 = 2*p + 2*p. Factor y**2 - 4 + z - 25*y + 26*y.\nAnswer: (y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 2\/20409?\nAnswer: 2\/20409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 127585793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/11 (b) 1\/2 (c) 2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 431318 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: What is the second derivative of -10260*l**3 - 12983*l wrt l?\nAnswer: -61560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*w**2 - 24*w**2 + 13*w**2)*(-4*w**2 - 3*w**2 + 3*w**2).\nAnswer: 16*w**4 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 14*s**2 + 32*s - 24. Suppose 4*v = -2*i + 8, -5*i + 5*v + 97 = 2. What is the hundreds digit of k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -n + 2*n + 5*j, -26 = -4*n - 2*j. Let u be (-9)\/6 + n\/4. Which is the closest to 1? (a) -4 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.99945 + -34. Round y to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 63884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65008387*f**2 + 353916674.\nAnswer: -130016774*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 28. Let v be p(-14). Let x(q) = 24592 - 24579 - q + v*q. What is x(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29600*l**3 - 42*l**2 + 25*l + 3.\nAnswer: 177600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k**2 - 35*k**2 - 11*k + 143*k**2 - 3*k**3 - 45*k**2.\nAnswer: -3*k**3 - 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140792 and -4?\nAnswer: 563168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -73, -116, -159?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35.96507 and 11.\nAnswer: -24.96507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 64\/3*h - 1230*h**3 + 12096*h**4 - 306*h**2 + 8\/3 - 10584*h**5 = 0?\nAnswer: -2\/21, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, 0.1, -0.04, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*(t*t**(-4\/3))\/t)*t*t**9)**(-13)\/((t**(-1\/3)\/t*t)**(-16))**(-1) assuming t is positive.\nAnswer: t**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 divided by 16?\nAnswer: 233\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -34. What is the third derivative of a*b**4 + 8*b**4 + 15*b**2 - 3*b**4 - 6*b**2 wrt b?\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -62 in descending order.\nAnswer: 5, 3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 181930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*y**4 + y**2 + 3649 + 293*y**4 + 267*y**4 + 0*y**2 + 403 wrt y?\nAnswer: 2068*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8445533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220*v - 220*v + 0*v**2 + 8*v**2 + 8*v**4 wrt v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + z + 9*z + 14.\nAnswer: 10*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 4. Let k be q(0). Suppose k*h + 5*j - 24 = 0, 0 = -5*h - 2*j + 6*j + 30. Solve 0*u + 2*u = -h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*x - 1214 = -2244 + 11110 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:31 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d**3 - 3*d + 3. Let i(f) = -f**3 + f - 1. Suppose 0 = -73*c + 65*c + 648. Suppose 0 = -53*j + 26*j + c. Determine j*i(n) + o(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + 4*x - 1. Let r be k(-7). Suppose 23*s = 21*s + r. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/6 and -17\/237.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.783 - -3.583. Let i = -6 - -2. Sort -13, i, x in descending order.\nAnswer: x, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -727 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 548, 1108, 1674, 2246, 2824?\nAnswer: 3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/10 and -71\/4269.\nAnswer: 42690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8314*i - 132984. What is x(16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.227 and 1.\nAnswer: -2.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 12. Let i(z) = z - 8. Let j be i(12). What is the remainder when t(j) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 18 = -10 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38185 divided by 7.\nAnswer: -5455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720*s - 11386*s**2 + 730*s + 727*s - 2177*s.\nAnswer: -11386*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14897366 divided by -2\nAnswer: -7448683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 8. Let r(a) = -2*a + 19. Let y(m) = 11*g(m) - 6*r(m). Let f be y(20). Let j(x) be the third derivative of x**4\/24 - x**3\/2 + x**2. What is j(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270 - -384. Let m = -30 + 30. Suppose c - 32 = -g - m*g, -j = -3*g + 3*c. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8379 - -663802.\nAnswer: 655423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by -17.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 810468736 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35556943 + 0.3556. Round f to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4278 or -4207?\nAnswer: -4207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/40 + 783\/(-1080)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (18 + -33))\/(54\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38.8753 and -80?\nAnswer: -3110.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) - 52\/(-20). Suppose 4*o - 23121 - 96876 = -v*x, 2*o + 3*x = 59997. Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 19 = 2*p. Calculate the greatest common divisor of p and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydd when three letters picked without replacement from {n: 2, y: 1, a: 1, q: 4, d: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0*m**2 + 3*m**2)*(-3*m + 2*m - 12 + 5) + 774*m**2 - 373*m**2 - 3*m**3 - 363*m**2.\nAnswer: -4*m**3 + 31*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3176490 is divided by 4093.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003823413 to 7 dps.\nAnswer: 0.0003823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3265 - 170942791\nAnswer: -170942791.3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 663937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 293881 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.94 + -0.06. Let k = 0.2 - -7.8. Let h = k + o. Which is the second smallest value? (a) -0.1 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(475))**2.\nAnswer: -20*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8648 = -75*n + 122*n. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 3. Let p = -39 + 19. Let q be (4\/10)\/((-4)\/p). Give z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**3)\/u**(2\/3)*((u\/u**6)\/u)\/(u\/(u*u*u\/((u\/(u*u**(2\/7)\/u))\/u*u)*u)) assuming u is positive.\nAnswer: u**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1648533601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 0*r**4 + 1\/60*r**5 - 1 + 1\/6*r**3 + 0*r - 1\/2*r**2. Let f(z) be the second derivative of a(z). Differentiate f(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 30, -53, -210, -465, -842, -1365, -2058?\nAnswer: -2945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656 + 176 - g + 127 - 800 + 2*g.\nAnswer: g - 1153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(5\/7)*s*s)**(-36) assuming s is positive.\nAnswer: s**(-936\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 - 3*u**4 - 748632*u + 748629*u - 72 + u**3 to b*u**4 + x*u**2 + q*u + c + d*u**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Let b = 0 + u. Let v(i) = i**3 - 6*i**2 + 6*i + 1. What is the units digit of v(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24325444 and 23276.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(21 + -25)*(-10)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*i - 340 - 141, 163 = i - f. Let u = i + -46. Round u to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42354462 divided by 21177231?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 243 (base 8) to base 11\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 3*q**3 + 0*q**3 + q**3 to the form o*q + u + y*q**2 + n*q**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 158796 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -988379.223115?\nAnswer: 988379.323115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)\/(38*(-22)\/220). Is -17 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 6*h**2. Let i(u) = u**2 - 2 + 2. Let p(l) = -l - 13. Let q be p(-7). Determine q*i(g) + o(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -528\/7, 4, -0.72 in decreasing order.\nAnswer: 4, -0.72, -528\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r. Let t(z) = 5 + z + 548*z**2 - 546*z**2 - 5. What is p(t(w))?\nAnswer: -14*w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-3*m - m - m) - 3*m + 2*m - m + 1.\nAnswer: 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w - 15*w + 38*w - 21*w to d*w + q and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/179)\/n**(8\/3))**(-2\/13))**(-5\/17))**(-2\/13) assuming n is positive.\nAnswer: n**(28520\/1542801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-3))\/(2\/((-24)\/(-10))). Solve -3*f - 3 = -u*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 642102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1189460 by -10.\nAnswer: -118946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 6 - 1. Let g(w) = -w**2 - 6*w + 7. Let q be g(l). Suppose 0*y - 4*y = q. Let i(n) = -n**2 + n - 7. Determine i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1758 and 9\/(2268\/(-696)) - 2 - 1\/6.\nAnswer: 12306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8691, -17380, -26059, -34728, -43387, -52036, -60675?\nAnswer: -69304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6939 divided by -8954.\nAnswer: -6939\/8954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -41, -103, -221, -413, -697, -1091?\n\"Answer: -3*p**3 - p**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 11) to base 5\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(497\/6958).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/10 + 7\/((-140)\/4). Let d(r) be the second derivative of -5\/2*r**2 + 0 - 4*r - 1\/6*r**4 + 2\/3*r**3. Let k(i) = -i + 1. Calculate t*d(f) + 5*k(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/28*14*2872\/(-14). What is m rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2 + 10*p - 3. Let d be o(-5). Suppose -3*a + d = -2*y, a - 6*y + 2*y = 44. List the prime factors of 52\/a + -1 - 632\/(-15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2846291 to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**27))\/(l*l*l**23*l) assuming l is positive.\nAnswer: l**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let i(v) = -33*v. Give i(t(z)).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - 10*m**2)*(-108 - 61 + 77)*(-7 - 1 - 31) to the form w*m + x + s*m**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1 - (-14)\/7. Solve w + r = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:02 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 143a4 (base 12) to base 2\nAnswer: 110111000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 - 0.09. What is the closest to -4 in 3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13*d**2. Let j(y) = -1 - 3825*y + 3827*y + 1. Give j(x(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*p - 33*p - 515. Suppose h + p = 2*b - 1159, -2*h = 3*b - 2525. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-1170))\/((-26961)\/9460)?\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaij when four letters picked without replacement from jajzjjciccccccisiji?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21545 is divided by 10584.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2170 - 5188 = -3*b, 0 = -3*b - 4*u + 3036. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -59*w**4\/12 + w**3\/3 + 201*w**2\/2 + 1210*w. Find the first derivative of d(t) wrt t.\nAnswer: -118*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-3)\/27)\/(68\/(-51))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 392818*l**3 + 51438600108*l**2 - 2245826263251566*l + 56113513593612275.\nAnswer: (l - 130931)**3*(l - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = g + 2*g - 4, 2*z - 5*g + 12 = 0. Suppose 240 = -0*s - z*s. Calculate the common denominator of 886\/s - (-10)\/(-25) and -87\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2275, -2277, -2279?\n\"Answer: -2*l - 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(288) - sqrt(18)) + sqrt(18) - (sqrt(450) - sqrt(450)*-2))\/(sqrt(42)\/(-1*sqrt(7)*-5 + sqrt(7))).\nAnswer: -210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let d(c) be the first derivative of 0*c + 1\/3*c**3 + 0*c**2 - 2. Calculate d(l(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68\/5721 + -4884031\/17163. Let s = -285 - r. Is 0 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6192 is divided by 2115.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = p, -5*p - 80 = 4*n. Let i be 4*(n\/(-4) + -2). Suppose 2*q = -i*w + 3*w + 76, -w + 33 = q. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7730.8 and -369.\nAnswer: -8099.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2 = -551*m + 554*m, 4*m + 2 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -60*x + 1074 + 1926 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, 1, -1, 0.\nAnswer: -21, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 323, 328, 337, 350, 367, 388?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4201*l**4 - l - l - 4054*l**4)*(-9*l - 2*l + 0*l).\nAnswer: -1617*l**5 + 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 23*d**2 + 33*d - 13. Let j(f) = 2*f**3 + 12*f**2 + 17*f - 6. Let t(o) = 3*b(o) - 5*j(o). Give t(11).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -83. Solve r*g + 4*g - 18 = -f, -g + 3 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let w(g) = g. Let j(s) = 4*i(s) + 3*w(s). Let r be j(-4). Let y = 10 - r. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p\/(p*p**(-3)*p*p)))\/p*p**(-10\/3)*p\/p**(-10)*(p\/(p*p\/(p*p\/p**9)))\/p)**(-37) assuming p is positive.\nAnswer: p**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = -2*s - 0*c, -4*s + 68 = -4*c. What is the second derivative of -i**3 - i + 3*i**3 + 26*i**3 + s*i wrt i?\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) -3 (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98578 a multiple of 1177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131946 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -11 + 5 + (-3 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 27930*y. Let i(z) = 2*z. What is c(i(a))?\nAnswer: 55860*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -9 + 26 + 2 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 3*s - 4. Let p be h(-4). Let c = -328 + 280. Let u be c\/(24\/(-6))*12. What is the highest common divisor of p and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326934 divided by 369\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 14, 1\/6, 0.8, -0.0708 in descending order.\nAnswer: 14, 0.8, 1\/2, 1\/6, -0.0708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -13442\/534805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270 is divided by 211.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -22. Suppose -20*j + 26*j + g = 0. Suppose 0 = -0*l + 4*l - 4. Sort -16, l, j in decreasing order.\nAnswer: l, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52448.79m in millimeters?\nAnswer: 52448790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 285. Suppose -67 = -6*n + d. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*z - 9547 - 9680 = 0 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 43*h + 50. Which is bigger: 4\/1933 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 117573*t - 4466333. Give p(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**3 + 3*v**2 - 17482*v - 173667 wrt v?\nAnswer: -3*v**2 + 6*v - 17482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.3. Let k = -0.4 + r. Let y = -1.5 - k. Is y at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*o + 128*o - 35672 = 66*o - 31*o for o.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 143125?\nAnswer: 143126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2112 and 5192.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -9*k**4\/8 + 11*k**3\/3 - 37*k**2. What is the first derivative of v(y) wrt y?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -11*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 4815?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.4.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 5 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(65\/(-10))\/13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 40 + 2. What are the prime factors of (-19)\/(s\/20*4\/(-6))?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z + 1. Let u be o(8). Let a be (u\/3 - 2)*-1. Is (a\/6)\/((-1)\/94) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13625*p + 19*p**2 - 2 + 13625*p - 14*p**2 - 1. Let d(h) = -h**3 + 3*h**2 + 2*h - 3. Let y be d(3). What is the tens digit of g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2 - (16 - (9 - 14))) + -11.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 0*o**2 + 2*o**2 - 15*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -10 - 6 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*3)\/(9\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 0*s**3 + 3*s**3 + s**3 + 3*s**2 - 3*s**2 + (3*s - 5*s + 3*s)*(-3*s**2 + 5*s**2 - 3*s**2) - s**3 - 1 + 1 - 53*s**3 + 33*s**3 - 55*s**3.\nAnswer: -74*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-5))\/(6\/(-10)). Suppose -n = 3*k - z, 5*k - k = 0. Solve -n = h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 0.5, 3, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1679000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -75134 at most as big as -75135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6658?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2 (c) 218\/11 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/40 (b) -5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 59. Solve x*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(44)*-3)\/sqrt(2))\/(sqrt(55)\/((-2*sqrt(245) - sqrt(245)) + sqrt(245))).\nAnswer: -252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 15*z**2 - 27*z + 11. Let q be t(13). Calculate the common denominator of -53\/10 and (-4028)\/2240 + (8\/(-14))\/q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-2\/19))\/b*b\/b**1*b**6\/(b**5*b) assuming b is positive.\nAnswer: b**(17\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11248 is divided by 250?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1013266?\nAnswer: -1013265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 812870 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-9))\/((-4)\/6). Suppose -2*g = -x - 3. Let s = 31 + -36. What is the nearest to 1 in 1, g, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 17*a**2 + 51*a + 17. What are the prime factors of c(-12)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47860 less than -172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*k**2*q**2 + 3*h*q*t**2 - 4*h - 2686*k**2*q*t**2 - 2*k*q**2*t**2 + 22*k*q**2*t wrt k.\nAnswer: -2*h*q**2 - 5372*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/446 not equal to -189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovevuovvvevvveevov. Give prob of picking 2 e and 1 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 187 = 249. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/8 - 7*t**3\/2 + 20*t**2 - 89. Let a(q) be the second derivative of n(q). Give a(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a - 8. Let h(q) = q - 1. Let i(v) = 4*h(v) - s(v). Let g be i(0). Solve 0 = 5*y + 11 + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 824190 and 36852?\nAnswer: 60990060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 45, -8 in decreasing order.\nAnswer: 45, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 836506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.102 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1514 + 6173. Is 4*z - (12 + -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -221?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/4 + n**3\/3 + 2*n**2 - 4*n + 6. Calculate the remainder when 47 is divided by m(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10540 - 9968 = -12*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*v - 439392 - 224239, 0 = 3*v + 4*j - 497733. Let y = 40907 - v. Round y to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762, 1566, 2368, 3168, 3966, 4762?\nAnswer: 5556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3060)\/(-2754) - (-2)\/9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 1234 = 84*w + 2 - 33 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jju when three letters picked without replacement from {j: 6, u: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018711 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(350)\/sqrt(7))**2 + sqrt(2)) - 5*(sqrt(2) - (-2 + sqrt(2) + sqrt(2)) - sqrt(2))*5.\nAnswer: -150 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -140d31a?\nAnswer: -140d319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnj when three letters picked without replacement from {s: 2, u: 1, j: 2, q: 4, d: 6, n: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -q - 9. Suppose q = -5*a + 7*f - 2*f + 425, 2*a + 3*f - 175 = 0. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 714 + 113?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*r - 262*r - 254*r + 138*r - 228*r as k + y*r and give y.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -58. Let o = x + 20. Solve 0 = 2*v + 5 + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let x = z + -3. Suppose x*i - 13 = -i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 8*s - 36. Solve 0 = x - 1 + s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*h + 6*h = 79, -u + 7 = -4*h. Solve -507*l + u = -522*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 - 10)*(2 - 3 + 3) + 0 + 1 - 2)*(4*r - 2*r + 0*r) to the form c*r + b and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 553781254*t*z**3 + 5152*t*z**2 + 40411*z**2 wrt z.\nAnswer: 3322687524*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -74, -338, -884, -1814, -3230, -5234, -7928?\nAnswer: -11414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 4)*4 - (sqrt(153) + -4 - sqrt(153))*-6)**2.\nAnswer: -448*sqrt(17) + 13392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 18. What is the closest to y in 0.3, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/4785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 22*m. Let h(n) = 3*n + 5. Let r be h(m). Which is the second biggest value? (a) 1\/8 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1014 and -45\/141583?\nAnswer: 11043474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1750 is divided by 63?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*r = 18, x = -2*r + r + 2. Let k = x - 5. Let l be ((-20)\/6)\/(k\/(-6)). Solve n = -n + l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.3, -16, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -607*c**6 - c**4*y - 4446*c**3*y + 24*c**2*y + 1322914*c*y wrt c?\nAnswer: -72840*c**3 - 24*c*y - 26676*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 + 130. Let w = -457 - -495. Calculate the greatest common divisor of w and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 1*(sqrt(171) - 2*sqrt(171)))\/sqrt(9) - (1 + (0 + sqrt(1539) - sqrt(1539))).\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*r**4 + 675*r**3 - 1020*r**2 - 10880*r - 15360 = 0. Calculate r.\nAnswer: -16\/5, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 492?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0887 (b) -2\/7 (c) 1 (d) 785 (e) 1\/5 (f) -1\/6 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 16*n + 11. Let b = 3 - 10. Let o(g) = -8*g - 6. Let k(j) = b*o(j) - 4*i(j). List the prime factors of k(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 1:29 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -1216*r**4\/5 - 108464*r**3\/5 - 128523*r**2\/5 - 6947*r + 440 = 0.\nAnswer: -88, -5\/8, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 14*z**3 - 1158*z**2 + 9746*z - 15004.\nAnswer: 2*(z - 11)**2*(z - 2)*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -824 (base 14) in base 15?\nAnswer: -71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:13 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/225716 and 37\/1679729.\nAnswer: 490480868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) -4 (c) -4\/1228049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7166.316 microseconds to minutes.\nAnswer: 0.0001194386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*l - 132*l + 42*l + 234. Determine i so that 6\/11 + 2\/11*i**l - 10\/11*i + 2\/11*i**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 38*j = -34*j - 39900, -j - 29929 = -3*h. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(4\/11)\/v)\/v**(-6\/13))\/(v**(1\/7)*v*v**(-11)))**12)**(3\/2) assuming v is positive.\nAnswer: v**(174456\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.33 - 0.23. Let y = q - 0.1. Sort -1\/5, y, -1.\nAnswer: -1, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:15 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u**2 + 2*u - 2. Suppose 3*x = a - 17, -11 - 16 = -a + 5*x. Let i be w(a). Calculate the greatest common divisor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/30)\/((-35)\/(-168)*-1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 14*d - 16. Let c be (63\/12)\/((-9)\/(-24)). Suppose -c*k = -13*k + 9. What is the units digit of o(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 11. Let r be 38\/(-4) + 5\/10. Let t be r\/18*2*i. Solve -q = t*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 2*q**4 + 1 - 2*q + 15*q**2 - 13*q**2 to b*q**3 + o*q**4 + z*q**2 + p + c*q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*n**5 + 50406*n**3 - 5758088*n**2?\nAnswer: 4380*n**2 + 302436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -427*l**2 + 6*l - 5. Let n(i) = -1282*i**2 + 17*i - 14. Let f(p) = -17*m(p) + 6*n(p). Let x be f(1). Let o = -20306\/47 - x. Is o smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/9, -842, 0, 4 in descending order.\nAnswer: 4, 0, -4\/9, -4, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 18*g**2 + 1 - 8*g**2 - 3*g**2. Suppose 19 = -4*k + 5*q, -2*q + 3 = 4*k - k. Is w(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*m - 32*m + 560. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.123839 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2695 divided by -366\nAnswer: -2695\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2. Let o(q) be the first derivative of -6 + 0 + q**2 + 18. What is o(m(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -16. Suppose 2*j = -v + 58, v + 4*v = -b*j + 258. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, -1, 6 in decreasing order.\nAnswer: 6, 3, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 663 + -656. Suppose -4*g - b*z + 5*z = -1342, -z = -3*g + 1009. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -864, -1718, -2570, -3420, -4268, -5114, -5958?\nAnswer: -6800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117\/4 - -29. Suppose 2*k = -k + 15, j + 5*k - 40 = 0. Suppose 3*f = 4*y + j, -2*y = 3*f + 6 - 3. Which is bigger: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 7124810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120002 (base 3) to base 5.\nAnswer: 40334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 + 2 - 3) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*a + 140 - 44, -4*a - 72 = -4*y. Let u(b) = -b**3 - b**2 + 5*b + 3. What is the lowest common multiple of u(-3) and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*g, -2*g + g + 3*p = -12. Let d(i) = i**3 - 7*i**2 + 5*i + 6. Let k be d(3). What is the biggest value in k, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-15))\/7*15\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10261621 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -12, i - 2 = -3*n + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 140. Suppose 0 = 3*x - 0*x - 5*z + 3, -5*z + v = 5*x. Solve -1 = u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215595 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 766 = 510. Solve -h*q = 12 + 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k + 101*k - 1196 = 0. Solve -25*w = -3*d - k*w - 14, 5*d - w + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -23869\/6, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 1. Solve 3*q - x - a = x, 5 = 2*q - x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 646\/3, 0.06, -2\/77?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i**10)**14*i**(-5\/2)*i**(-6\/7)*i*(i*i**2\/i)\/i**5 assuming i is positive.\nAnswer: i**(1016\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 9, o: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49579\/3 - -16527. Which is the nearest to -1\/182? (a) q (b) -0.01 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 41*w - 21*w - 19*w. Let q(p) = 3*p. Let z = 18 - 19. Let v(u) = z*q(u) + 5*n(u). Let h(k) = -11*k**2. Calculate h(v(r)).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 1}. What is prob of sequence wwr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6871\/4 + 1718. Put -128, 0.6, y in descending order.\nAnswer: 0.6, y, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(1 - -2) - 0. Let c = x + -2. Are -2\/9 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56.4 + -55. Let m = 6.656 - 5.2. Let y = m - a. Round y to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2209873?\nAnswer: -11049365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, q: 1}. What is prob of sequence ee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkwkww. Give prob of sequence kkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 520*a**2*c**2 - 18*a**2*c - a**2 wrt c?\nAnswer: 1040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5745680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - -2.2. What is the closest to -0.2 in -2, y, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 times -0.4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.4 + 39. What is the nearest to -0.3 in h, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-714)\/(-24) + 1\/4. Differentiate -s*q - 22*q - 39 + 53*q - 4*q**2 with respect to q.\nAnswer: -8*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426357541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1343 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*t**3 + 7*t**3 + 0 - 10*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/774460 and 1\/774460?\nAnswer: 774460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 3*j - 3. Let i(b) = -3*b**2 + 3*b + 11. Let g be i(4). Let u be (-83)\/3 + 2\/3. Let n = g - u. Determine m(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -14. Let v be ((-4)\/o)\/((-2)\/1). Let a be 41\/13 + (16\/4 - 7). What is the closest to v in a, 5, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26750 and 75542?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 961032187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3\/6*-2)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 21, 56, 117, 210, 341?\n\"Answer: h**3 + 4*h**2 - 4*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + 8. Let q = 68 - o. Let f = q - 22. What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 541?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let s(p) = 3384*p. Determine s(h(w)).\nAnswer: 3384*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910 a factor of 99912230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - q**2 - q**2 + 5*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8.3169*6\nAnswer: 49.9014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5409708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/210 + 11*a**5\/105 + 13*a**4\/14 + 30*a**3\/7 - 1294*a**2. Factor v(m).\nAnswer: 4*(m + 3)**2*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.27, -2.6, 0.1, 1\/7, -0.3 in descending order.\nAnswer: 1\/7, 0.1, -0.3, -2.27, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 344, 0, -2 in descending order.\nAnswer: 344, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/693714 and -139\/366030?\nAnswer: 72839970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3938396 divided by 29612\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2 + z**3 - 1 - 21*z**2 + 12*z**2. Let n(d) = -2*d**3 - 3*d**2 + d + 1. Give -n(b) - 3*p(b).\nAnswer: -b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-9)\/(324\/16).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 20*j**2 + 11*j - 8. Let k(w) = -40*w**2 - 22*w + 17. Let s(a) = 3*k(a) + 5*r(a). Let h(y) = 7*y**2 + 4*y - 4. Give 11*h(l) + 4*s(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*2)\/sqrt(11) + (sqrt(3) - (sqrt(12)\/sqrt(4) + sqrt(3)))**2*-6.\nAnswer: -18 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6996, -6995, -6992, -6987, -6980?\n\"Answer: k**2 - 2*k - 6995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 64, 90, 146, 244, 396, 614, 910?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 708490.9942 - 708426. Let y = p - 65. Round y to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/14, -1, 0.2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 3*w + 14 = -37*h, 2*w - 2 = -3*h. Suppose 0 = -s + 6*s - 25. Put -7, h, s in descending order.\nAnswer: s, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 21, 27, 33?\n\"Answer: 6*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32688256 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -15*j - 1 + 4, -b - 9*j + 3*j - 12 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3326978 to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)\/((-10)\/30). Suppose 5*i = i. Let k = i + l. Solve -4*p + k*d - 5 = -0*d, -d + 7 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8068169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2 (c) -12478 (d) 26 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 12\/(-9)) + 416\/(-96)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*r - 5 + 206, -4*r = -8. Let t = 44 - y. Put t, 1, 2 in decreasing order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:34 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w. Let d(z) = z. Let p(o) = o**2 - 79*o + 435. Let c be p(6). Determine c*d(r) - s(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v**3 + v**2 + v. Suppose 0 = -3*n - 6*n. Suppose -5*z + 20 + 0 = n. Calculate the least common multiple of z and r(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*l + 41 - 41 - 2*l**2 - 718*l + 161*l.\nAnswer: -2*l**2 - 148*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/383746 and -21\/116937872.\nAnswer: 1286316592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5280 - 79*g + 5280)*(-4*g**2 + 4*g**2 + 2*g**3) to the form h + t*g**2 + c*g**4 + u*g + z*g**3 and give c.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 351477977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*(-18430)\/2736 + 2\/12. Solve -164 = -40*d + p*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10*s = 10. Suppose -42 = -3*a - o, -a + s*a - 14 = -3*o. Let h be 24\/a - 4\/(-14). Solve -3*p - h*p = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 233*a - 81.\nAnswer: -233*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3881, 7824, 11767, 15710, 19653, 23596?\nAnswer: 27539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670990 is divided by 669.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 280510981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, -3, 19691 in increasing order.\nAnswer: -3, 0, 2, 3, 19691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/4371555 and -70\/33.\nAnswer: 48087105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121948, -121949, -121950, -121951?\nAnswer: -121952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/976 and 432 + -422 + (-6740)\/671?\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15938041244 and 287?\nAnswer: 15938041531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = r, 2*r = 2*v + 4*r. Solve -v*q = 3*n - 4, 0 = -2*q + 2*n - 22 + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 60*w + 26. Let s be i(7). Suppose -s = -8*f + 778. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*s, -c - 3*c - 4 = -5*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 4\/3*c**3 + 16 + 0*c - c**4 + 0*c**2. Factor p(o).\nAnswer: -4*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 48.1. Let z = 0.004 + 109.996. Let h = z + -111. Which is the second smallest value? (a) h (b) j (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {w: 1, d: 5, q: 3, i: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baabdcz. Give prob of picking 1 d and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + s = -16, -163*z - 4*s - 5 + 7 = -158*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318198 divided by -159099.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 185, 211, 7, -565, -1643?\nAnswer: -3365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c47b + 11?\nAnswer: c48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*d + 25371 = -8901. What is the greatest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 807 and -154?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**2 - 89*t - 15. Let k be n(-7). Calculate the highest common divisor of 99 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and 11\/570777.\nAnswer: 1141554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + 5*(sqrt(112))**2 + 2 + (-2 + sqrt(112) + sqrt(7) - sqrt(42)\/(sqrt(18)\/sqrt(3) + sqrt(6)))) + 1.\nAnswer: -2799 - 55*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 787930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**2 - 1283*b + 25300. Determine t(-275).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + ((-70 - (-5 + 4)) + -2 - (4 + 4))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5813 + -5662. Calculate the remainder when 301 is divided by s.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.85 - -1.75. Let u = -20.2 + -0.8. Let o = u + 33. Which is greater: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. What is the second smallest value in a, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32*(54\/(-48))\/(-9))\/(10 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:53 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**7*(x\/x**(6\/7))\/x*x*x**(-34)*(x**(4\/3)\/x)\/x assuming x is positive.\nAnswer: x**(-557\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86e (base 15) to base 6\nAnswer: -12452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/60 + a**3\/3 - 2. Let b(j) be the third derivative of u(j). Let p(g) = 2*g**2. Calculate b(p(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:03 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7)*a**(-2))**(-9\/10)*((a\/(a**(-1\/2)\/a))\/a**(-6))\/(a**(3\/2)*a*a**(-1)*a) assuming a is positive.\nAnswer: a**(501\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*(-9)\/7857*94\/4 and -23\/16?\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (7\/(-28))\/((-92)\/(-32) - 3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p**3 + 4*p - 1173172*p**2 + 0*p**4 + 1173250*p**2 + 3*p**4 - 104 - 4*p**4 = 0.\nAnswer: -2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -903.5 plus 40509?\nAnswer: 39605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 12*g**2 - 10*g + 12. Let x be n(-11). Is ((-2)\/(-6))\/(x\/381) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-1 + -1 + -10 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**3 + 55*c**2 + 63*c + 71. Let o(m) = 4 + 42*m + 11 + 7*m**3 + 39 - 7 + 37*m**2. Let h(n) = -8*o(n) + 5*p(n). What is h(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748095847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 315, 696, 1227?\nAnswer: 1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 916804731 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 857?\nAnswer: 22282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 22 - 2 - 7 + 6. Let t be h(9). Solve k = -t*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17493.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**3\/6 + s. Let p(g) be the third derivative of 0 - 2*g**2 + 0*g + 1\/24*g**4 + 0*g**3. Determine p(w(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 31 = 3*i, 0*i + 9 + 0 = -r - 3*i + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, o: 1, a: 2, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27097)\/8848*(-20)\/35?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = -5*n, 0 = -5*n + 6*n - 4*s - 5. Let m be (0 + 1)*(-12 - -3)\/n. Suppose m*z + 9 = 0, -2*z + 37 = r - 14. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*h - 5, 0 = -2*b - 3*h + 6531991. Round b to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 52756?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3986 + 643 = 0. Is 69 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 3. Let y be i(5). Suppose -4*o + 92 = -2*h, 2*h - 3 + y = o. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 585 - 558. What is the highest common divisor of 8 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10179915*d - 11428174 wrt d.\nAnswer: -10179915","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*u - 47 + 125, 0 = -5*v - 5*u + 80. Let k(j) = -3*j + 107. Let m be k(26). Find the first derivative of 23*q**3 - 52 + m + v wrt q.\nAnswer: 69*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 3*g**4\/4 - 2*g**3\/3 - 3*g**2\/2 + 92*g. Suppose -u = q + 4, -3*u - 8 = -2*u + 5*q. What is the tens digit of b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/924966 and -145\/13771716.\nAnswer: 123945444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-376)\/(-40) - 9)\/((-80)\/150).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6 = -3*r, z = 4*r + 11. Suppose 0 = 5*i - z*x - 805, -i - 4*x + 126 = -35. What are the prime factors of i?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*m + 9, -104*l + 17 = -108*l + 5*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.3379377 + -0.6620755. Let q = u + 62. Round q to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 28*h - 78. Suppose -3*l + 2*l - 27 = 5*z, -42 = 2*l - 2*z. Does 27 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892065435 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6. Suppose p - c - 3 = 0. Solve 9 = p*g - g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4897\/102 - (-154176)\/(-3212).\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (182\/37 - (2508\/33)\/38)\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t + 4. Let k = -135 - -149. Let a(m) = -9 - m - 12 + 12 + k*m. Calculate 3*a(n) + 7*v(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Let s = 462 + -392. Suppose -s*i = -5*t - 72*i + 224, 3*i + 170 = 4*t. What is the highest common divisor of w and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 13. Calculate the greatest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296 - 293. Find the first derivative of 654 - 591 + 2*s + 5*s**j + 0*s wrt s.\nAnswer: 15*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 2161 - 2176 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 88*l**3 - 9*l - 9. Let h be n(-2). What are the prime factors of h\/2*(-40)\/100?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*c + 20 = -10, 4*i + 5*c = 23. Suppose 5*n - 5 = 4*f - i*f, 5*f - 5 = -5*n. Suppose f = 2*g + 4 - 16. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/12 + m**3\/3 + 3*m. Factor p(y).\nAnswer: y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/11 + 6*k**3 + 54*k**2 + 1990*k\/11 + 2100\/11 = 0.\nAnswer: -21, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10 and ((-117)\/8 + 5)*8\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6360 = 2*y + 5*x, 3*x + 15919 = -5*y - 0*x. Let q be -1 + (-20)\/(-35) + (-1360)\/y. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -172256313?\nAnswer: -1\/57418771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1, -2\/3, 2852 in descending order.\nAnswer: 2852, 1, -2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*a + 15 + 1, -5*a - 3*w = 2. Let k(b) = -b + b + 2*b - 4*b**a. Let s(z) = z**3 + 9*z**2 - 5*z + 1. Calculate 5*k(c) + 2*s(c).\nAnswer: 2*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**4))\/(v**(3\/2)*v)*v**0*v*v*(v*v**(-6))\/v assuming v is positive.\nAnswer: v**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(704))*5 + sqrt(88)\/sqrt(8) + -1 + sqrt(1331)*3 + -1*sqrt(275))**2.\nAnswer: -148*sqrt(11) + 60237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4514, 3, -3, 6, 0.\nAnswer: -3, -1, 0, 1, 3, 6, 4514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94617853 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4006 times -2267?\nAnswer: 9081602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((v\/v**12)\/v)\/v)\/v)\/v*v*v)**(-19)*v**(-2\/69)*v*v\/v**(2\/9))**(-13\/3) assuming v is positive.\nAnswer: v**(-669383\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpwt when four letters picked without replacement from fwlfsstltllwsp?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 4*t - 500, 535 = 4*x + 3*t. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 568*f**2 - 10*f - 491*f**2 + 10*f in the form w*f**2 + p + d*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*l + 32. Let k(b) = 13*b**2 + b. Let r be k(-1). Let n be (42\/8)\/(r\/64). Calculate the greatest common divisor of l and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m - 11\/3*m**3 + m**2 + 1. Let p(z) = -6*z**2 + z - 1. What is 4*c(f) - 7*p(f)?\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 25 - 88 = 0. Suppose 10 = -5*x - 5*g, -p*x - 4*g - 10 = -4*x. Sort -3, 2, x, 4 in increasing order.\nAnswer: -3, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-171)\/(-1122) - (-4)\/(-22). Let l = 8\/17 - z. Let u = -0.31 + 3.31. What is the third smallest value in u, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - 4) + -2343 + 2345\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = -2*y + t, -150 = -2*y - 3*t + 288. Let s = -45 + y. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c - 14*c + 0*c - 37*c**5 wrt c?\nAnswer: -740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(605) - (sqrt(605)*-5 + 1)) - (-2 + -3 + sqrt(605) + sqrt(605))*5)**2.\nAnswer: -1672*sqrt(5) + 10041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, q: 4, t: 5, v: 2}. What is prob of sequence qq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1055556 divided by -1076.\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -7. Let i be 26\/8 - (-1)\/x. Let s = -116 - -120. Sort s, -3, i in decreasing order.\nAnswer: s, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 2*w**2 - 3*w. Let u be z(-3). Let i = -153 + 156. Solve -3*s + 2*r = -u*s + 23, -3*r = i*s + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11011 - -11214. What is the greatest common divisor of u and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 208. Is -1 + b\/22 + 38068\/44 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) -1\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/5 + -27\/10. What is the closest to j in 3, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 20. Let t = 6.000208 + z. What is t rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9907 (base 12) to base 7.\nAnswer: 100066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-42))\/(((-1120)\/(-60))\/(-28)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2890668410394 + 3?\nAnswer: -2890668410391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -36247080101950.\nAnswer: 36247080101948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = l - 5*z + 12, -2*z - 10 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(162) + 2*1*sqrt(162))*-3 + 4 + -2 + -1 + sqrt(162))**2.\nAnswer: -144*sqrt(2) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/43)\/(-1 - (-1170)\/1152)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 349203\nAnswer: 1\/349203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a*a**(-6\/11)*a)\/a)\/a)*a)\/(a**(-1\/3)*a*a))**(-33\/5) assuming a is positive.\nAnswer: a**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j - 34*j + 9*j + 14*j + 353.\nAnswer: 7*j + 353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13101 + 3?\nAnswer: 13104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108120 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6048578 is divided by 664.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -2*p + 32. Suppose -4*g = 3 + 17. Let u be -10*g\/(10\/p). Solve 2*s + 2*s - u = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 - 0)) + -8 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.2 + -208.8. Which is greater: b or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 3*u**2 - u + 2*u**2 - 5)*(3 - 4 + 0)*(-3 + 0 + 1).\nAnswer: -2*u**2 - 2*u - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 6*u + 0*u**2 + u**2 - 4*u**2 to i*u + c + d*u**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 9*p**2 - 4*p - 5. Let o(q) = q**3 - q**2 + 1. Let f(v) = j(v) + 5*o(v). Let l(n) = -n**2 + n. What is f(x) + 4*l(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -16)*(-1)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48736 and 845265.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5270521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 9*t**2 - 10*t + 2. Let m be y(10). What is the third derivative of 2*z**4 - z**4 - 4*z**m + z**2 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10068 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (-5*((sqrt(32) - sqrt(8)) + sqrt(8) + sqrt(8)) - ((sqrt(8) - sqrt(32)\/sqrt(4)) + (sqrt(2) - sqrt(2)*1*6)))))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 o when three letters picked without replacement from {o: 1, p: 1, n: 6, q: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/800)\/(((-36)\/10)\/3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 + 143*o - 321. What is a(23)?\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1935\/30)\/(-43) + (-57)\/(-38).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 4 - 6 + 1)*(2*u**2 + 4*u**2 - 5*u**2).\nAnswer: 5*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373293732.\nAnswer: 2, 3, 7, 4443973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5863 (b) 2\/13 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 5*m**4\/24 - 2*m**2. Let i(f) be the first derivative of f**2 + 16224. Calculate s(i(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, c: 1, g: 7, y: 2}. What is prob of sequence gci?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3 + 4632*z**2 - 108348*z + 359024 = 0.\nAnswer: -1181, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.66 rounded to one dp?\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3 + 13 = 0. Let l = -1328 - -1328. Put -2, l, d, -5 in descending order.\nAnswer: d, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4) - ((-595)\/(-308) - 1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718447 a multiple of 1999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*b + 67 + 38, 4*b + 5*u + 123 = 0. Let r = 60 + b. Let z be -2 - r\/(-14) - 1\/2. Put -4, -0.3, z in increasing order.\nAnswer: -4, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-351)\/(-52)*((-4)\/(-1) + (-216)\/81).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724 (base 8) to base 11.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 4, -0.4, -1, 0.1, -1.4 in descending order.\nAnswer: 4, 2\/17, 0.1, -0.4, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 8. Let m be b(18). Let f(x) = -500*x + 999*x - x**2 - 505*x - m + 2*x**2. Give f(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5812\/9 (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.8 (b) 3 (c) 1330 (d) 5 (e) -1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d + 8*d)*(0*d**2 - 3*d**3 + 0*d**2).\nAnswer: -33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 267c?\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 41*a + 63. What is n(21)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3\/5 + 46198*g**2\/5 + 169437*g\/5 - 61612\/5 = 0.\nAnswer: -4, 1\/3, 15403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 135, -4 in descending order.\nAnswer: 135, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 26 = -i. Let l be (1\/3 + -3)\/(2\/468). Let a = 754 + l. Calculate the highest common factor of i and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181943 - 1273569\/7. Factor 64\/7*s + 4\/7*s**5 + 0*s**4 + 0*s**2 + 0 - n*s**3.\nAnswer: 4*s*(s - 2)**2*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (46 + -71)*26*-1 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7 = -5. Suppose 1 = 4*l - f - 4, -4*l - 5*f = 25. Suppose l = 4*a - j*a + 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331589 is divided by 173.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 45 = -3*z, -2*m + 70 - 32 = 4*z. Sort -2, -5, m in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 11866 + 34*r**2 - 6*r**2 + 11866.\nAnswer: r**3 + 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 42510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 + 5 - 65*g - 12*g + 77*g.\nAnswer: -12*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 + 35*u**2\/3 + u\/3 - 35\/3.\nAnswer: -(u - 35)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3724)\/(-95) + 1\/(-5). Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/10 + 5)*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -3)*(-5)\/2. Put 0, -1, u in ascending order.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/6786 and -73\/500656?\nAnswer: 4505904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1653\/4 - 413. Which is the nearest to o? (a) -2\/15 (b) 0.5 (c) -175\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) -2 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -982*r**2 - 15 + 1026*r**2 - 17 - 12*r**3 + 24*r.\nAnswer: -4*(r - 4)*(r + 1)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110358 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x - 4*z, -2*x = z + 3 - 2. Let y = 0.02 - 0.12. What is the closest to x in y, 0.4, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l. Let i = l + 1. Calculate the lowest common multiple of i and 132\/(-6)*(-3)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 7)\/((9\/30)\/(-1)). Which is the third biggest value? (a) p (b) -1\/5 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + 16*m**2 - m + 7. Let i be x(-8). Let n = 1 - i. Let a be 16\/n*(-3 - (-2)\/(-4)). Solve p - 5 = 2*d, -p - 19 - a = 5*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 191\nAnswer: -25\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -776, -773, -770?\n\"Answer: 3*h - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/330 and 85\/26.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o - 1649 + 114 = 733. Calculate the remainder when o is divided by 20 - (1 - 3)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1663968 and 40800?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g**3 - 3*g**2 - 3. Let l(w) = 21*w**3 - 7*w**2 - 5. Suppose 1 - 11 = 2*k. Let s(v) = k*d(v) + 3*l(v). What is the third derivative of s(n) wrt n?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -a - 0*a, -2*o - 27 + 7 = 5*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 408.9144 + -409. Let i = 0.3856 + f. What is the third biggest value in 0.5, 0, 0.05, i?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 170\/(-4)*15\/(-325) and ((-2)\/10)\/((-36)\/375).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2c89 (base 13) to base 12\nAnswer: -3947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3\/3 + 100*j**2\/3 + 245*j + 390.\nAnswer: -5*(j - 26)*(j + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(-6\/11)))**(-23)*p\/p**(-8)*p*p**(5\/2)\/p*p*p assuming p is positive.\nAnswer: p**(-485\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - z**2 - z**2 + 3 + z + 2*z**2 - z + (-4 - 2*z + 4)*(-2*z - 2*z + 2*z).\nAnswer: 4*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 517*f - 2. Let c(x) = -7*x - 629. What is c(m(w))?\nAnswer: -3619*w - 615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 4663466*o.\nAnswer: 2*o*(o - 2331733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 = 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*c + 25, -5 = -2*b - 25*c + 22*c. Let w = 1 + 0. Let a = w - 0.7. What is the biggest value in -0.09, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 918204693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*o**2 + 25*o**2 + 69*o**4 + 2*o + 0*o**2 wrt o?\nAnswer: 1656*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from nrnrcyyggnlrgy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 525\/15*(-42)\/(-35)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 1. Let d(g) = 159*g + 4928. Let i be d(-31). Let s(w) = -7*w + 4. Give i*s(r) + 3*j(r).\nAnswer: 4*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(117)*1 + sqrt(117)) + (5 + -1 + sqrt(117) - sqrt(117)) + -5)*-4)**2.\nAnswer: 384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -16. Let s = 6 + y. Let f be s\/(-7) - (-2)\/7. Solve i + f = 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207069 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/32 + 484\/704.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4 + 4*-6*(0 + sqrt(3)) + -1)*6)**2 + -4.\nAnswer: 51840*sqrt(3) + 378644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -0.96. Let c = 0.03 + -2.03. Let s = c - t. What is the closest to 0 in 1, -5, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 768\/7 - 1030\/7*u + 8\/7*u**2 = 0.\nAnswer: 3\/4, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*f - 6 = 2*f, 0 = 4*h - 2*f - 12. Suppose h*n - 4*n = 6. Let p = n - -12. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 578*m = 573*m - 67, -29 = 5*t + 4*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 15 = 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007459 rounded to 4 dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {w: 7, b: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21604 by -26.\nAnswer: 10802\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/429 - (-108)\/(-77)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from kijljjjjlrulklr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:51 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 129 + 27?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320))*-3*-3 + (((sqrt(480) - (sqrt(480) + sqrt(480)*-1)) + sqrt(480))\/sqrt(12) - sqrt(40))\/(sqrt(512)*1).\nAnswer: 9 + 577*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + 0*k**2 - 1 + 4*k**2 + k**2 - k. Let d be b(3). Suppose 0 = -c + 3*h - 8, d*c + 4*h = 2*h + 45. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -5, -w + 1 = 3*w - 3*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let x be (m + -1)*(-25)\/(-50). Solve -2*t - 3*f + 3 = x, -3 = -6*t + 3*t - 4*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -4 (c) 2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 1, x: 2}. Give prob of sequence xt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312408*u + 312127*u = 20794 for u.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24842605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, r: 11}. Give prob of sequence frf.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-4)\/1 + 9. Let x be (-5)\/15*(2 - h). Let t(b) = -19*b**x - 5 - 12 + 2*b + 18. Give t(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - 27*u + 4*u + 22*u.\nAnswer: -12*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2435, 6950, 14457, 24956, 38447, 54930?\n\"Answer: 1496*c**2 + 27*c + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.987 - 0.013. Let i = -21.9996 - h. What is i rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42684 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3921 + -611705\/156. What is the common denominator of -49\/10 and f?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w + 3. Let i be (-1124)\/11 + 10\/55. Let p = i - -169. What is the remainder when p is divided by j(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18266417501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-171) + 586\/(-13300) and 139\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111121 (base 3) in base 14?\nAnswer: -945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9.2 times 732\nAnswer: 6734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3618*g - 19*g**2 + 3618*g.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/3, 1\/7, -2, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 2*f**5\/15 + f**4\/12 + 4*f**3\/3 + f**2 - 19. Let t be z(-2). Which is smaller: 39 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1456, 2758, 3984, 5134, 6208, 7206?\n\"Answer: -38*l**2 + 1416*l + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19173 is divided by 16321?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 6021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 19 = -h, 5*h - 9 = 4*h - 2*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -103334407, -103334408, -103334409, -103334410, -103334411?\n\"Answer: -r - 103334406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 486\/144*8*2\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1191 - 1176. Let p = -13 + 22. Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Let t = 17 + -12. Which is the third biggest value? (a) t (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x + 47767 - 80342 - 131425 = 0. What is the highest common divisor of 240 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -4*x. Suppose 0*o - 4*o = x*l - 220, 0 = 3*o. Let k = l - -9. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*f**2 + 15 - 44 - 4 + 18 + 15.\nAnswer: 86*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5 - 3*w**4 + 72*w**3 - 120*w**2 - 48*w + 144 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/5 + (-4)\/(-10))*5. Let l = -1 + n. Suppose -143 = -5*i + l*t, 0*i - 5*i - t + 133 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(72)\/sqrt(6)))**2 + (2*sqrt(35))\/sqrt(7) - 1*((1 + sqrt(500))**2 + 4).\nAnswer: -500 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3699, 30738, 104541, 248490, 485967, 840354, 1335033, 1993386?\nAnswer: 2838795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 156*r + 5697. What is h(53)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.56 - 5.47. Let g = p - 0.09. Sort 3, 2\/7, g, 0.14.\nAnswer: 0.14, 2\/7, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.103 - -0.303. Which is the nearest to -1\/2? (a) 10\/9 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1bc5b (base 14) to base 11\nAnswer: 49406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 35. Let g = l - 33. Is 15*(-5)\/10*g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2\/15*w - 2\/5*w**3 + 8\/15*w**2 + 0 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 549 - 483. Suppose -4*f + 60 = -0*f. Let u = h + f. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -530?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8*t + 8. Let s be t + 5 - 565428\/(-56). Let v = s - 10106. Calculate the common denominator of v and 93\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3619\/6 + 600. What is the common denominator of -3\/11 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - 3 + 4*o**3 - 6*o + 8*o**2 + 3*o. Is p(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/829 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*k + 2 + 8*k**2 + 4*k - 3*k**2)*(-3 - 1 - 6).\nAnswer: -50*k**2 + 200*k - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11*t**3 - 4*t**2 - 4467*t + 44. Let g(z) = 20*z**3 + 7*z**2 + 8933*z - 77. What is -7*c(n) - 4*g(n)?\nAnswer: -3*n**3 - 4463*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*j**2 + 1537*j**2 - 555*j**2 - 325*j**2 + 0*j - 330*j**2 + 0*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 141232 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 9.15. Let f = 97\/224 + 183\/224. Let o = 1.5 + -1. What is the nearest to z in f, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:14 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, 3271, 110, -6 in descending order.\nAnswer: 3271, 110, 3, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c70 (base 16) in base 7?\nAnswer: -111023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-350))\/((-1)\/3*(-2)\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g + 10090 = 10846 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -305 or -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 36*i - 42. Let n = -1035 - -1016. What is w(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 1, b: 2, z: 1, j: 1, h: 1}. What is prob of picking 1 z and 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*o - 89 - 3561. Let v = 148 + o. Solve 0 = 5*b - b - v*w - 14, 3*b - 2*w - 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -7. Suppose -4*i + r*i = 15. Sort i, -3, -2 in descending order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(300)*-1.\nAnswer: -10*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -54. Let p(s) = -3*s**3 + 2*s**2 - 2. What is p(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/3 + 38 - (1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, 8*l - m = 3*l + 4150. Suppose -828*v = -l*v + 82. What is the remainder when 88 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137 - 4*l - 137)*(-l - 4*l + 12*l) + 70*l**2 + 21*l**2 - 7 + 7 + 17*l**2.\nAnswer: 80*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212492 - 149586. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.525770539 rounded to 3 dps?\nAnswer: -7.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-23207259\nAnswer: -23207258.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 51. What is the remainder when 56 is divided by h(32)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {b: 3, g: 9, r: 7}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 6*h**2 + 5*h + 2. Let x be l(-5). Suppose x + 176 = 2*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*k**2 - 70*k**2 - 92*k**2 as i*k + w*k**2 + v and give w.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4014 and 1138968.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3043\/36 + 331\/4. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 26*t**2 + 85*t - 59. Let w be k(20). Let v = w + 1929. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 6*o - 79. Suppose 0 = -o*h + 59*h - 20. Let k(b) = -3*b**2 - 4*b - 6. Let n(x) = -2*x**2 - 3*x - 4. Give h*k(r) - 7*n(r).\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*w = -8696, 20 = -9*w + 4*w. Let a = -5353 + p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, 32, 138, 308, 548, 864, 1262?\n\"Answer: r**3 + 23*r**2 - 28*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = -75. Let w = a - 4. Calculate the highest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 7.3 (b) -5 (c) 230.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 - r**2 - r + 1. Suppose -b - 3 = -6. Let p be b\/((-2)\/((-12)\/(-9))). Let n = -1 - p. Calculate k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.475 - 0.775. Which is the second smallest value? (a) u (b) 18 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-1*-15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 18*n**2 + 31*n + 1. What is y(16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - 1. Let o(a) = 4*a**3 + a**2 - 38*a - 8. Let b = -882 + 881. Let z(h) = b*o(h) + 6*j(h). Find the second derivative of z(y) wrt y.\nAnswer: 12*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12 - 25 + 3*f + 17 - 4. Let m(c) = 10*c**2 + 21. Give x(m(k)).\nAnswer: 30*k**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 411000 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 28 = 40 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 16 = -4*m, -278*m + 569*m - 285*m - 4*d + 24 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9843 is divided by 197?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-15))\/((-1)\/3). Let l be 2\/(n*(-1)\/8). Let s be (-6 - l) + 106*1. Calculate the highest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0 - 15*f + f**3 + f**2 - 1\/12*f**4. Let x be v(6). Solve x*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 - 87132*m**2 + 12013272*m + 24375040 = 0. Calculate m.\nAnswer: -21920, -2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 362474220 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107151 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 + 2 = 0. Let v be (-2)\/2 + (y - 599998). What is v rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31\/22, 0.1, 2\/3, 344?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-819)\/(-169) - -2*(-2)\/(-26). Suppose -4*r - 13 = -s*x, r + 5 - 1 = 2*x. Sort x, -2, 55.\nAnswer: -2, x, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 5*i - 2, -t + 2*i = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 43 = 2950*k - 2951*k, -257 = 5*k - y - 33 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 1. Suppose 2*q + 3*c = 5, 3*q + c - 18 = -0*q. Let y(s) = 5 + 1 + q*s + 0. Suppose -4*d - 3 = 1. What is d*y(g) - 6*z(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + (3 - 6) + -34 + 3 + 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2*n - 7 = 15, -3*n + 27 + 12 = 5*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3885.516 tonnes to kilograms.\nAnswer: 3885516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v. Suppose v*a + 2244288 = 4*a. Suppose -o + 2*x = -490006, -3*o + a + 908922 = 2*x. What is o rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6932\/(-43325))\/((-90)\/3500).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1464308)\/168 + 4\/14. Let o = 8789 + m. Let x = 73 - o. Which is greater: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -50*2*1\/(-1). Calculate the highest common factor of b and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoxtvovft. What is prob of picking 1 o and 2 t?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -25. Which is the smallest value? (a) 1\/4 (b) 1\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -357*(-452)\/(-678)*6\/(-12)*(-1)\/(-1).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4863050 is divided by 109.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 22, 2, 0, 11 in decreasing order.\nAnswer: 22, 11, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*m + 1159 - 1187 = 0, -4*m = 3*c - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34447, 137822, 310115, 551326, 861455?\nAnswer: 1240502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129\/154 + -9\/22. Suppose 0 = 2*k + 3*t + 15, 6 = -0*k - 3*k + t. Let q be -1 + (-19)\/10 - k. Which is the third biggest value? (a) -5 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 95 - 6?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43811 times -0.193?\nAnswer: -8455.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - 2*33\/(-6). Solve -h - 3 = -t*a + 8, 3*a + 5*h = -19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, 3, -9, 46, 20, 4 in ascending order.\nAnswer: -9, -5, 3, 4, 15, 20, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-57))\/((-16)\/216).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0519643 times -1321?\nAnswer: -68.6448403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w - 2. Let g be m(-1). Suppose -4*t + 21 = -g. Let f(u) = u - 9. Determine f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 + 1281*a**4\/2 + 958*a**3 - 321*a**2 - 959*a - 639\/2 = 0.\nAnswer: -639, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -304, -281, -238, -175, -92?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) -1173 (c) 0 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44 + -1 - 2) + 1. Let p = 2289 - 2331. Let m = w + p. Solve l - 1 - 4 = m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, 2, 11, 20, 29?\n\"Answer: 9*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:23 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 5. Let y be c(-2). Let j be y\/2*(-16)\/60. Let -2\/5*i**2 - 4\/5*i - j = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -76 - 172. Let n = r - 21. Let h = 58 - n. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-304)\/57)\/((-4)\/18). Let u(j) = j**2 + 5 + 3*j + 2*j - 8 + h. Let r(a) = -a**2 - 7*a - 31. Let q(p) = 5*r(p) + 7*u(p). Let q(y) = 0. Calculate y.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4449.1 - 4451.1. Let b = 6 - 3. Let n = 6.9 - 7. What is the closest to n in 0.2, g, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 356 = 5*g, 27*g = 23*g + 3*l - 281. Let t(h) = -10*h + 10. Let o be t(-8). Let m = o + g. Solve -2*u = -2*w - 3*w - m, -4*w - 4 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 22 = -2*a - a, 2*n + 4*a + 12 = 0. Suppose 4*c - 3*c = n*g - 31, -2*g = -2*c - 26. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*g - 60, -531*q - 36 = -527*q - 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9669)\/(-7911))\/(-1*1\/3)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 297745.\nAnswer: 3\/297745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 - 164675*q**3 + 262*q**2 + 7 wrt q.\nAnswer: -24*q - 988050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 3, -264, 4 in descending order.\nAnswer: 4, 3, -2, -5, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/3 and 79\/98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4998\/196*1*(-10)\/(-3). Calculate the highest common divisor of 901 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let u(q) = -2200*q**2 + 3*q + 3. Let g(l) = 11277201*l**2 - 15379*l - 15379. Let z(r) = -6*g(r) - 30758*u(r). What is x(z(o))?\nAnswer: 19307236*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7473*q - 14643*q + 7460*q)*(1 + 0 + 0).\nAnswer: 290*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21770?\nAnswer: 2, 5, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15125 - 15122. What is the fifth smallest value in l, 0.4, 2, 0.2, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020312200 (base 4) in base 13?\nAnswer: a5a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205180488.\nAnswer: 2, 19, 1753, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 38*x - 3. Give j(-40).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 3*h**2 + 2*h - 3. Let m = -8 + 11. What is the remainder when 6 is divided by p(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.5. Let j = -162 - -645\/4. Let h = -19\/3 + 6. Which is the nearest to h? (a) j (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.97 - 0.03. Let q = -0.3 + -0.2. Which is the third biggest value? (a) z (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1329.01 + 1329. Which is the closest to -4? (a) z (b) 2 (c) -7 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/4? (a) 3 (b) -22 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 173\/7. What is the common denominator of z and (-47)\/(-7) + 15 + -23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -621, -0.1, -4\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762 divided by -1008?\nAnswer: -1381\/504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 421133?\nAnswer: -421131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6*j - 20 = 5*k, -5*k + 5 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1720691, -3441381, -5162071, -6882761, -8603451, -10324141?\nAnswer: -12044831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 1 - 5. Suppose 0 = -9*g + 8*g + w. Let m = g + -3. Do m and -2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -71?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*v = -2*v + 14, d - 4*v + 1 = 0. What is the third derivative of -2*a**4 + d*a**4 - 12*a**2 + a**4 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8021674363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -422008 divided by 34?\nAnswer: -12412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0*f + f**2 - 5*f + 2 + f. Let w = 1 - -3. What is the remainder when k(5) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3682865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11354, -22712, -34070, -45428, -56786?\nAnswer: -68144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 3. Let w be y(-2). Suppose -3*f = -5*r - w, 4*r = 6*r - f. Suppose 3*q - 4 = -r. Which is the second biggest value? (a) 1\/4 (b) q (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 68190\/181 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -11*s + 179. Let n = s - -53. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 506 + 1176. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 s when four letters picked without replacement from {k: 4, f: 3, s: 6}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3993 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -11*q**4\/24 + 4*q**3 + q**2. Let u(y) = 5*y - 12. Let r(f) = 4*h(f) + 9*u(f). Let s be r(9). Is s bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-550)\/121) + -13\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 465*o - 1. Let m(z) = -34974*z. Give b(m(k)).\nAnswer: -16262910*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -31385 - -3874. What are the prime factors of g\/(-122) - (1 - (-6)\/(-4))?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 12*y**2 + 2*y - 10. Let j be v(6). Let m(n) = 9 - 21*n**j - 9 + 82*n**2. Let t(a) = a. Give m(t(o)).\nAnswer: 61*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = 219*y - 214*y - 39, -i - 4*y - 3 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 3666, 3, -336, -3 in descending order.\nAnswer: 3666, 3, 0, -3, -4, -5, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 2:05 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(63) + sqrt(63)*-2)\/sqrt(3) - sqrt(21))\/(sqrt(363)*-2))**2 + -3)*6*-4*-2.\nAnswer: -17088\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65 or 39?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6470, -432, 4 in descending order.\nAnswer: 4, -432, -6470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 168?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (-63)\/28*-12. Suppose 0 = -b + 6*b - l, -4*p = -3*b - 3156. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2468 + -2461. Solve 5*q = -l + 2, 2*q - 31*l = -34*l - f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 545608, 13, 2 in descending order.\nAnswer: 545608, 13, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*f - 79. Let q(k) = -k**3 - 28*k**2 + 48*k + 3. Let j be q(-30). Calculate the highest common factor of j and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2\/(-6)*-5. Suppose y*t - 10 = -0*t. Suppose -2*x = -2*x + x. Solve -t*a = -5*i - x*a - 23, 0 = -3*i + 4*a - 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 207, 398, 591?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203490 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396935886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, x: 3, p: 3, j: 1}. What is prob of picking 2 x and 1 j?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 47 = o. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -66*m - 2. Let a = 2099 + -2098. Calculate h(a).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 30 = -b. Let n be (-2)\/3 - b\/9. Suppose 17 = 3*q - 2*d, n*q + 5*q + 4*d = 43. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -335300 - 5?\nAnswer: -335305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.206 to one decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415708.5 grams to milligrams.\nAnswer: 415708500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 7*b - 24 = 0. Let d be b\/(-24) + 7\/28. Solve d = 3*p - 8*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**5\/20 - l**4\/3 + l**3\/2 + 478*l. Calculate x(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*p + 4*p - 27*p + 30 - 30 to the form s + z*p and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n = -53456 - 81112. Is 79 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 8125 = -11*c. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 83*z**2 + 9*z - 5. Let g be t(-3). Let y = g - 452. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from mkmmmfkkdmk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.51. Let l = -80 + 80.01. Let x = b - l. What is x rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1518092 and 232?\nAnswer: 3036184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 2. Let a(k) = -6*k + 20. Let p(u) = -a(u) + 8*y(u). Let j be p(-1). Let i(g) = g - 6*g**2 - 1 + 3 - 2*g. Calculate i(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least -0.49063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + 3 + ((sqrt(63)*-2)\/sqrt(9) + sqrt(1764)\/sqrt(7) + sqrt(7))*-2*-4)*-2)**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**5 - 15*r**4 + 9*r**3 - 9*r**2 + 12*r + 12. Let g(j) = -j**4 + j**3 - j**2 + j + 1. Let p(y) = -12*g(y) + i(y). Factor p(z).\nAnswer: 3*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110498.737 rounded to the nearest one hundred?\nAnswer: -1110500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/((5*sqrt(80) - sqrt(80))\/sqrt(10)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (30\/2)\/3 + 67?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28878, -115517, -259916, -462075, -721994, -1039673, -1415112?\nAnswer: -1848311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-198)*(-32)\/(-14)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 6*g - 15. Let r be z(-8). Find the first derivative of r - 957*n**2 + 7 + 960*n**2 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/13 + 30*v**4\/13 + 150*v**3\/13 + 290*v**2\/13 + 240*v\/13 + 72\/13 = 0. Calculate v.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/155805714 and -19\/90780?\nAnswer: 1558057140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 210310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6900705 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100729, 100722, 100715?\n\"Answer: -7*g + 100736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let u(z) = 3*z**3 - 7*z**2 - 102*z - 3. Let f(w) = w**3 - 2*w**2 - 29*w - 1. Let l(q) = -7*f(q) + 2*u(q). Calculate l(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**19*j)\/j*j*j*((j*j**(-4\/3)*j*j)\/j)\/j*j)**(-6))**(-35) assuming j is positive.\nAnswer: j**4550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86922 + 19470449\/224. What is the common denominator of -107\/168 and k?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 - 91 + 298 = j - 3*s + 94, 14*j + 9*s - 150 = 6*s for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 13. Let f be r(4). Differentiate -1 - f*y + 2 - 3 wrt y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {b: 2, q: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -210. Let a = o + -124. Let q be (a\/3)\/(-4) - 3348018\/27. What is q rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 12. Let x be (-1)\/z - (-648)\/126. Suppose -x*b = b - 18. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -21, -46, -83?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/23)*p)\/p**(-2\/91))\/(p**26\/p*p\/p**(2\/15)*p) assuming p is positive.\nAnswer: p**(-782729\/31395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49246 is divided by 1094.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 43117\nAnswer: 19\/43117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**2*x + 66632*d**2 + 273*d*x + 3*x with respect to x.\nAnswer: 5*d**2 + 273*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -14. Suppose -2*t = n*t - 14. Sort -0.1, -2\/3, t in descending order.\nAnswer: t, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let d be (3 + -2)\/((-5)\/(-10))*-1. Give x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611682296 divided by 3548?\nAnswer: 172402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:05 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 8*d + 31 - 68 as k + r*d and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4 - 16. Suppose -15 = -11*a + 7. What is the second derivative of j + a*j + 5*j**u - 4*j**5 - j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -11\/24*z**4 + 1\/6*z**3 + 1\/30*z**5 + 34*z**2 + 0*z + 0. What is the remainder when 9 is divided by o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3231 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 144 = -3*o, -2*y + 3518*o - 3512*o + 48 = 0 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**8\/48 + 3*v**5\/20 + 11*v**2. Find the third derivative of d(h) wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s - 13. Suppose 6*k = k + 15. Let y(p) = -p**3 + 7*p**2 + 10*p - 11. What is the remainder when g(k) is divided by y(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/9361 and 48\/161.\nAnswer: 65527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -10, -94, -292, -640, -1174, -1930?\n\"Answer: -6*r**3 - 3*r**2 + 45*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2418\/11 + 220. Let p be 122\/5 - 2\/5. Suppose 4*n = 5*c - p, -2*c - 4 = n - 11. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129427, 258809, 388143, 517429, 646667, 775857, 904999?\n\"Answer: -24*m**2 + 129454*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**5 + 47*q**5 + 62*q**5 + ((3*q - 3*q + q**2)*(q - 2 + 2) + 2 + q**3 - 2)*(-4*q**2 + 0*q**2 + 0*q**2) - 3 + 3 - q**5.\nAnswer: 95*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*q + 7. Let a = 2 + 2. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47984 and -159.\nAnswer: 47825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546213 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 588\/13, 2, 0.11, -20, 0.7 in ascending order.\nAnswer: -20, 0.11, 0.7, 2, 588\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 9*i + 54. Calculate w(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 19*c + 3. Let y be b(19). Solve y = 4*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66, -46, -26, -6, 14?\n\"Answer: 20*v - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 900976*n**4 + 4987465?\nAnswer: 3603904*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -759666, -1519339, -2279012, -3038685?\n\"Answer: -759673*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204.8 - 204.76258. Round f to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i + 1398. Let z(h) = -9*h. Determine m(z(l)).\nAnswer: 54*l + 1398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - q**5 + q**5 + (0 + 5*q**2 + 0)*(-2*q**2 + q**2 + 0*q**2)*(58*q + 56*q - 43*q).\nAnswer: -356*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 10*s - 39. Let x be d(8). What is the highest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = -167*m + 161*m. Solve -114*g + 35 = -m*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {i: 3, p: 8, f: 5}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18734 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1\/5 (c) 0 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**6\/105 - 116*q**5\/5 + 23548*q**4 - 38241952*q**3\/3 + 3881558128*q**2 - 7426*q. Factor y(r).\nAnswer: 2*(r - 406)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (sqrt(76)*2 - sqrt(76))*4))\/(2*sqrt(4)*5).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(147)*2 - ((1 + sqrt(3) + 0)**2 + sqrt(3) - sqrt(3))) + (sqrt(30)\/(sqrt(50)\/sqrt(5)) + 4)*-3.\nAnswer: -14 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*m = 605, -5*v - 3*m - 242 + 1005 = 0. Let y be (-1)\/2 + (-633)\/(-6). Let s = v - y. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132863\/48 - 16589\/6. Let b = -32777 + 1442297\/44. What is the common denominator of b and g?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 285\/19 - (((-408)\/108 - 6\/27) + -3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-3)*-2*(-81)\/(-189)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, and 1 u when three letters picked without replacement from {w: 4, u: 2, n: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -2 + sqrt(27) + (1*sqrt(147) - sqrt(147)) + sqrt(6)\/((sqrt(2) + sqrt(6)\/sqrt(3))*5 + sqrt(2)).\nAnswer: -2 + 45*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -1 + (-179 - (-316 - -109))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*o = -5*o - 264. Solve 2*i - 2 = 3*h, -4*i - 2*h = o - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640073 is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*v - 6 = 0, 0*v + 2*v + 12 = 2*n. Suppose -n*c - 2*a = -2, 2*a + 10 = c - 0*c. Suppose -5*z + 2 = -c*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -15*h + 15. Let c(s) be the second derivative of 7*s**3\/6 - 7*s**2\/2 - 20*s. Calculate -13*c(q) - 6*p(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 1 + 3*p**3 + 2 + 2*p - 6 - 5*p**3 as f + z*p + x*p**2 + d*p**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 + 3. Let x be c(6). Let q be 4\/22 - 159\/x. Suppose 0 = -4*w + 4*k - 4, -q - 2 = -2*w - k. Solve -w - 10 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -32*n. Let m(i) = 2*i**2. Calculate f(m(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*p - 5*r, -5*p + r - 82 = 3*r. Let f = p + 25. Let v be f\/6*16\/54. What is the smallest value in 4, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -102 (b) 397 (c) -1480\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 0.07. Let v = h + 2.04. Which is the second biggest value? (a) 3\/4 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33928 is divided by 154.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 132 = 32*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*1\/2 + 769?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 28153*g - 28127*g. Solve -304*x + 300*x - g = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -459394 (base 10) to base 14.\nAnswer: -bd5bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 158275*n + 25. Let g be y(-11). What is g rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.12. Let y = 0.38 + n. Let z = -0.03 - -0.03. Which is the third biggest value? (a) z (b) -3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11773283 rounded to the nearest one hundred thousand?\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319477 is divided by 271.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2*c)*(-2 + 17 + 11 + (-6 + 2 + 3)*(-3 + 0 + 1) + 0 + 1 - 2 - 3 - 8 - 5) in the form p*c + t and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 49266.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14405, -28805, -43201, -57593?\n\"Answer: 2*r**2 - 14406*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 1, b: 5, h: 2, u: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d + 7. Let u(s) = 2*s**3 - s**2 + 10*s + 13. What is 5*h(b) - 3*u(b)?\nAnswer: -b**3 + 3*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1121401739*d + 658095898.\nAnswer: -1121401739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*((-6)\/(-195))\/1*508\/762?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = 2*m - 234. Suppose 5*j = 4*f - 70 + m, -f - 254 = -4*j. Suppose -3969 = -284*q + 1995. Calculate the highest common divisor of q and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 84768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 7*o**2 - 12*o + 35. Let p be q(6). Which is the closest to p? (a) 0 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 741923.704 + -2212.2\nAnswer: 739711.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + z**2 - z**2 + z**2 - 4*z**2 + 2*z**2 + (3*z**2 - 3*z**2 - z**2)*(2 + 1 - 1) + 3*z**2 + 4*z**2 - 5*z**2 + 2*z - 2*z - 3*z**2 + 1 + z**2 - 1.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 343 = -43*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1430*y - 1431*y - o - 9, -2*o = 5*y + 39 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1597 = 9*v + 1274. What is v rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {t: 1, e: 1, c: 2, i: 2, g: 2, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68169 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -942, -2083, -3670, -5709?\nAnswer: -8206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -519 - -1149. Is r a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p**4 + 315*p**3 + 5019*p**2 + 12672*p + 7980 = 0 for p.\nAnswer: -35\/4, -2, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1584708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 34314?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f**2 + 4*f**2 + 0*f**2)*(69*f + 459*f - 255*f) + 2*f - 3*f**3 - 2*f to the form g*f**2 + w*f**3 + u + k*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 371090.36 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/606 and 109\/10.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 11*h**5\/60 + 11*h**2. Let m(v) = v. What is m(p(j))?\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10003*o**6 + 602*o**2 + 1098*o**6 + 1606*o**2 + 1190*o**2 wrt o?\nAnswer: -1068600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 224 + -220. Solve -4*p = -4*g - b, g = -3*p - g + 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-360)\/(-27))\/20)*-2*(-248)\/8\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**6\/3 - 44*p**5 - 1210*p**4 - 53240*p**3\/3 - 146410*p**2 - 644204*p - 68. Factor o(f).\nAnswer: -4*(f + 11)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48335 (base 16) to base 5.\nAnswer: -33430413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1374 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2 - 1 - 6*w + 4*w. Suppose 11 = -3*s + 4*l - 18, -4*s = -4*l + 32. What is the units digit of n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggxxxxxxxxgxxgxxgx. What is prob of sequence gggx?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 18. Let u = 16 - d. What is the remainder when 11 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/100)\/(2\/(-20))*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12660445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50625339 to the power of 1\/2, to the nearest integer?\nAnswer: 7115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4*r + 33126*g**4 + 57113*g*r wrt g.\nAnswer: -24*g**2*r + 397512*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 20. Suppose y + 5*t + 5 = 6*y, -8 = -m*t. Let 3*p**3 + p**2 - 2*p**3 + 0*p**2 + p - y*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1)\/((-4)\/(-2)). Suppose 0 = -d*s - 4*s. What is the common denominator of s - (-29)\/(-5)*1 and -64\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 31 + (-4 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 3*b**2 + 2*b**2 + 18*b + 8 - 7*b. Let o be a(8). Solve -s + 20 = -3*w + 3, o = -4*w - 4*s + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*j**2 + 1160 - 1160 + 3*j**2 - 4*j**2 + 2*j**2 + (-6 + 2 + 2)*(-5*j**2 - 9*j + 9*j).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) -2 (c) 0.5 (d) 1 (e) -147694\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/6720 - z**6\/240 + z**5\/60 - z**4\/3 + 7*z**2. Let a(m) be the second derivative of q(m). Factor a(r).\nAnswer: (r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14244*o - 5783066. Calculate i(406).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -24*a - 1873. Let u(q) = -13*q - 937. Determine -6*o(r) + 11*u(r).\nAnswer: r + 931","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c + 4. Let f(z) = -6*z - 3. What is -5*a(h) - 6*f(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 3*s. Solve -s*f = 3*j - 35, 6*f - f = -2*j + 30 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbrrrbbnbr. Give prob of picking 2 n and 1 b.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-20))\/((-2)\/(-4)). Let i be (445\/(-50))\/((-54)\/(-96)). Let v = i + 78\/5. What is the second biggest value in 4, v, 1\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 881, 1717, 2553, 3389?\nAnswer: 4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**6\/10 + 69*f**5\/10 + f**4 - 65*f**2 + 1946*f. What is the third derivative of q(u) wrt u?\nAnswer: 72*u + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 0.5 (c) 4 (d) 5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 9*k + 5*o + 50, -k = 2*o - 13. What is the smallest value in 16, k, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -1\/6*o**3 + 1\/30*o**5 - 3\/2*o**2 + 0*o + 1\/8*o**4 - 7. Let b(x) be the second derivative of r(x). Calculate b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -5*l**2\/2 - 41*l - 2. Suppose 8*m = -830 + 718. What are the prime factors of s(m)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuucuuuucuu. Give prob of sequence uuuc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 456.7001 millennia?\nAnswer: 5480401.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*t - 8*t. Suppose 4*d - 20 = -0*d, -5*d = -3*x + 8. What is the third derivative of -151*m - 6*m**t - x*m**2 + 151*m wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1231, -2463, -3695, -4927?\nAnswer: -6159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 5*o**4\/6 + 2*o. Let r(s) = s + 12. Let l(i) = -3*i - 54. Let m(z) = 2*l(z) + 9*r(z). Give m(b(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 15. Let i be u(18). Let n be 1\/i*1335\/(-5). Suppose 0 = -4*m - 9 + n. Solve -2*w = 3*w - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -294550.\nAnswer: -294549.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2083*w. Let q(x) = 2*x**2 + 2*x + 947. Calculate m(q(f)).\nAnswer: 4166*f**2 + 4166*f + 1972601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15236 is divided by 763.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -34. Suppose -8*t = -f*t - 7700. Suppose j - 5*h = -4*j + t, 0 = j - 3*h - 310. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.1769ng in tonnes?\nAnswer: 0.0000000000003311769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2570751 is divided by 652.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146\/3 + -48. Find l, given that -t*l**2 + 2\/3 + 0*l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*z + 1863 = -310841. List the prime factors of z.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddh when three letters picked without replacement from {h: 11, d: 5}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 682 - 4782\/7. Let v(s) = 1842*s + 3682. Let o be v(-2). Which is the fourth smallest value? (a) u (b) -4 (c) o (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:57 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293 - 290. Solve -2*m = 3*d + 1, -2*d - 2*m - z*m + 14 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120032 - -11?\nAnswer: 1120103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*q + 9, -4 = 5970*q - 5968*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8582 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-3 + sqrt(252))**2 - sqrt(56)\/sqrt(512)) + -2*sqrt(63)\/(sqrt(36)\/sqrt(36))).\nAnswer: -337*sqrt(7)\/2 + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1173443*f**4 + 3*f**3 + 26247640*f.\nAnswer: -14081316*f**2 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 102187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640992 and 607.\nAnswer: 640992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/3 + 45208*r**3\/3 + 85141732*r**2 - 510986024*r\/3 + 255515618\/3 = 0. Calculate r.\nAnswer: -11303, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.46 + -244749883.\nAnswer: -244749882.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561*d - 129*d = 0. Factor 2\/5*i + d - 2\/5*i**4 - 6\/5*i**2 + 6\/5*i**3.\nAnswer: -2*i*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 6:20 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 1. Let k(l) = 11*l - 1. Let o(j) = 9*j + j - 20*j + 5*j. Let v(h) = 6*k(h) + 14*o(h). Give 11*d(i) - 2*v(i).\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1286894 by 10.\nAnswer: -643447\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 4*w + 1. Let m be d(-7). Suppose -s - 18 = -m. Solve -s = -5*f + 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 5*v - 6. Let g be n(-7). Let j be (-2)\/(-1) + -1 + g. Solve -25 = -4*h - j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 0.1, 38\/65, -0.3, 2\/9, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.3629 micrograms in kilograms?\nAnswer: 0.0000007003629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**38\/(x*x*x**(3\/22)))**(-50) assuming x is positive.\nAnswer: x**(-19725\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1851780.2 to the nearest 1000.\nAnswer: -1852000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2156, -4303, -6450?\n\"Answer: -2147*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*-1*sqrt(170)*1)\/(5*(sqrt(490) + -3*sqrt(490))))**2.\nAnswer: 17\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -2\/5, -20, -1\/2.\nAnswer: -20, -1\/2, -2\/5, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6230435 divided by 1246087.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5637 divide 404633342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468652125 by 375.\nAnswer: 1249739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 110751.901 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*l + 0 + 41*l**2 - 26*l**2 + 2*l**4 - 21*l**2 to the form o*l**4 + s*l**3 + p*l**2 + j + z*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2048.4 take away 0.0210436?\nAnswer: -2048.4210436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137085464.\nAnswer: 2, 47, 443, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/15*5 + 46\/(-460)*-270.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.73 less than 14762?\nAnswer: 14763.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14\/d**(-20))**(-48) assuming d is positive.\nAnswer: d**(-1632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -51.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 3. Let i be q(-5). What is the greatest common factor of 39 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*v + 49*v - 3*v)*((2 + 4 - 4)*(3 + 2 - 7) + 1 - 6 + 4).\nAnswer: -320*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*z - 3*z - 5*g, 5*g = 2*z - 159. Suppose 4*h - 15 = -4*r + z, -4*r - 2*h = -100. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 8*r - 3. Suppose 56 = 2*x + 8*q - 6*q, 2*q + 119 = 5*x. Suppose -o + 98 = b + x, 0 = -5*o + 5. Let w = b - 78. Calculate s(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3695 + 5336. Does 71 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-220)\/112 - 2)*4\/3. What is the second biggest value in j, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31753423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*15\/120*8)\/(-16)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let x = -14 - -14. Let o(w) be the third derivative of x - 1\/24*w**4 + 0*w**3 - w**2 + 0*w. Determine o(b(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*u**3 - 2*u**3 - 2*u**3)*(4 + 3 - 5) + 557*u - 557*u - 22*u**3 + (u - u**3 - u)*(-4 + 1 + 2))*(34*u**2 + 10*u**2 + 27*u**2).\nAnswer: -1207*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(25)\/(sqrt(5)*-5)) - (sqrt(1008) - -6*(-2 + sqrt(1008))).\nAnswer: -89*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, 1, 27.2?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3212 divide 697584142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.9 (c) -2\/5 (d) 116\/7 (e) -0.3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 380*x**2 + 3891*x + 3705. Calculate t(390).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -94, -179, -266, -355, -446, -539?\n\"Answer: -w**2 - 82*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 56 = 35*i - 37*i, -4 = -4*i + 2*c - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynyyyyqyiwb. Give prob of sequence qi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17*y - 4. Let d be f(4). Let n = d - -29. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*l - 2*l - 5*a, 4*l = -5*a + 28. Suppose -8 = -3*g - l*z, -4*g - 3*z = -7*g + 33. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 364.5473.\nAnswer: 838.45879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:42 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251.6 - -251.6. Which is the closest to -2\/9? (a) 29 (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 + 77*m**2 - 184*m + 4. Let h be t(23). Let j(v) be the second derivative of 1\/15*v**h - 8\/15*v**3 + 2*v + 0 - 2*v**2. Factor j(x).\nAnswer: 4*(x - 5)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -140770*b + 281533. Calculate o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 1681998?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77131 or 6556226\/85?\nAnswer: 77131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*g + g - 24, 0 = 4*g - 4*s - 12. Let m(a) = 353*a**2 + 2*a + 1. Is m(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83076 divided by 1932\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 38*h**2 + 2000*h - 10027. What is v(5)?\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**2 - 33*t + 175. Let u be y(13). Calculate the greatest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*f - 5*g, -5*g + 15 = 3*f - 5. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 66*w**2 - 35*w + 256. Determine t(0).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-132)\/27 - -5)\/1. Let c(f) be the first derivative of -2\/3*f + v*f**3 + 2 + 1\/6*f**2. Find u such that c(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-294))\/(-2))\/((-5934)\/(-6923))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 245, 526, 907, 1382?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 6*u - u. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*q + 23, q = -5*b + 2*q + 58. Calculate the least common multiple of 4 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888.155 months in years?\nAnswer: 157.34625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x + 2*f - 18, f = -4*x. Let h(z) = -6*z**3 - 2*z**2 - 3*z - 4. Calculate h(x).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 20. Suppose -95*o + 100*o = -11*u + 42, 3*o - 4*u - 57 = 0. Calculate the highest common divisor of o and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 194*g - 10. Let s(r) = 194*r - 8. Give -4*q(i) + 5*s(i).\nAnswer: 194*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -261.6?\nAnswer: -26.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90252 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3984752.\nAnswer: 2, 37, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13706476 and 17622612.\nAnswer: 123358284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*v + 368, 0 = -194*v + 192*v + 4. What is the greatest common divisor of 25893 and j?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3733382 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.01955 times 52.29\nAnswer: -1.0222695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 18*k + 18. Suppose 0 = -3*q - 4*g - 45, -g = -3*q + g - 63. What are the prime factors of v(q)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*x + 4 = 0, 3*x = -4 - 2. Let l be u\/1*(-11)\/1. Differentiate -1 - 7 + 2 + l*v wrt v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806714.\nAnswer: 2, 251, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {p: 1, o: 1, h: 1, n: 2, a: 2, x: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, q: 1}. Give prob of picking 3 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 632*d + 857 + 853 - 1712 to b*d + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:42 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/19*f**4 - 6\/19*f**3 - 8\/19 - 32\/19*f**2 - 30\/19*f = 0. Calculate f.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - (-4)\/18. Suppose -5*h = -5*x - 9 + 14, -2*h + 22 = 4*x. Which is the nearest to g? (a) -2\/19 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(128) - (sqrt(128) + 5 + (-2*sqrt(128) - sqrt(128)) + sqrt(128) + sqrt(128))) + 4 + sqrt(128) + -2)**2*-4 + -5)*-3.\nAnswer: -1152*sqrt(2) + 6267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 337432, 674894, 1012368, 1349860, 1687376, 2024922, 2362504?\n\"Answer: a**3 + 337455*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 123 times 0.02\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1571239931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (45\/1)\/(-3 - 20\/(-6)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.2 and -0.112427798562?\nAnswer: 11.087572201438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*t + q, -7*t + 3*t - 3*q = -12. Let z = -1 - t. Let b(u) = -u**2 - 3*u + 4. Let v be b(-4). Put -3, z, v in increasing order.\nAnswer: z, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13111 (base 5) to base 12\nAnswer: 71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + 60*f**2 + 317*f - 771. Give m(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*j + 0 + 16 = 0, 5*j = 2*g - 3. Let n be 5 + -2 + 3*1. Let s be (-3)\/n*1*0. Solve m = -r + 5, s = -g*r + m + 3 + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -696 + 710. Let g(q) = -q**3 - q**2 + 1. Let v(u) = -4*u**3 - 20*u**2 + 8*u + 37. Let n(p) = 5*g(p) - v(p). Is 13 a factor of n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, and 2 m when four letters picked without replacement from {g: 1, l: 3, x: 3, m: 3, r: 3, d: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(7*o**3 + 0*o**3 - o**3 + o**3 + 3*o**3 + o**3 - 2*o**3 + 0*o**2 + 0*o**2 + (3*o + 3*o - 4*o)*(5*o**2 - 2*o**2 - o**2)).\nAnswer: -26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 139953, 139771, 139587, 139401?\n\"Answer: -c**2 - 179*c + 140133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 8, -2, 0, -3 in increasing order.\nAnswer: -3, -2, 0, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 0\/(-3) - 21. Let h = -9 - s. Suppose -j = -1 - 0. What is the highest common factor of h and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4894 or 4655?\nAnswer: 4894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - 261854?\nAnswer: -261813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2 + 2*b - 2 + 3. Let u(r) = r - 5. Calculate 6*h(t) + 2*u(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + a = -4*z - 10*z - 38, -z + 0 = -2*a + 5 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:02 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41999 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 3*s**2 - 5*s - 2. Let m be w(-2). Let z be -2 - (-15)\/6*m\/1. What is the greatest common factor of 12 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185469682*d**2*j**2 + 34*d**2*j + d**2 - 6*d*j - d + 1893*j - 3 wrt j?\nAnswer: -370939364*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 819 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1. Let i(s) = 22*s + 3. Suppose 7 = -4*b + 11. Let q(k) = b*i(k) - n(k). What is the first derivative of q(g) wrt g?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjpjjjepjjeeppjpjp. What is prob of sequence jee?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-16) + (-40)\/(-32). Solve m*h = -12, 2*j - 3 = -5*h - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h - 4. Determine d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/8, -6, -2, -37, 8.44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113420841 to the power of 1\/3, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1)\/(-2) + 377\/522. Which is the nearest to 2? (a) k (b) 5 (c) 14 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135.165 - 1.065. Let g = o - 134. Which is the closest to -2\/3? (a) 2\/5 (b) 7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7*q + 56 = 4*u, 0 = 4*u - 8. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a - 60 = 0. Let o = 2 + -5. Let d(g) = -2*g - 3. Let j be d(o). Calculate the highest common factor of j and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1418*p**2 - 5973*p + 63. Let z(i) = -i**2 + 5*i + 7. Let t(f) = x(f) - 9*z(f). Find the second derivative of t(c) wrt c.\nAnswer: 2854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3 - f + 4 + 2*f. Let b(d) be the third derivative of 0*d - 1\/12*d**4 - 1\/60*d**5 - 1\/2*d**3 + 0 + d**2. Give -b(o) - y(o).\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25\/(-60))\/(175\/(-140)). Which is smaller: n or 45\/58?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 7*u + 10. Let v be d(-2). Solve 0 = -4*y + 3*j - 4 - 1, y - v*j = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4 - 1 = -5*a, -5*a + 9 = -4*v. Suppose 0 = 4*b - 5*l - 14 + 4, -a*b = l - 27. Solve -3 = b*q + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v*w**4 - 12*v*w**3 - 15*v*w - 49*w**3 + 22*w**2 - 11 wrt w?\nAnswer: -72*v*w - 72*v - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**6\/120 - z**5\/20 - z**4\/6 + z**3 - 3*z**2\/2 + z. Let o(g) be the first derivative of a(g). What is o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 2. Let q be i(-3). Suppose -q - 13 = -4*c. Suppose 2*m + m + 3*t = 6, -c*m = -5*t - 30. Solve -3*v - m = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.03 - 268.19. Let v = -256 - w. Let s = -4.1600171 + v. Round s to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2\/9 (c) -2\/15 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-9)\/(-6))*(-68)\/(-12)*-6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108544407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 11:47 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7 - 8\/7*p + 1\/7*p**2.\nAnswer: (p - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z**3 + 0 + 0 + 2 + 1 + 3*z. Let a be r(-2). Let t = a + 8. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*g - 10 = g, 2*g = -4. Suppose 4*b - 4*a = 12, -b - 2*a = -58 + 52. Solve 0 = 2*c - w*c - b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29073 + -16414. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(8\/(14\/(-7)))\/(-38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -396.5443 rounded to one decimal place?\nAnswer: -396.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 7*y**2 + 7*y + 127. Give g(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 12*d + d**2 + 12*d. Let q(n) = 7*n**2. Let v(t) = 6*t**2. Let h(g) = -4*q(g) + 5*v(g). Calculate f(h(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*t + 32*t - 830. Find the common denominator of t\/8*(-3)\/6 and -24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27 + 13\/(91\/(-28)). Suppose -7*l + g*l - 80 = 0. Sort -1, 56, 3, l in increasing order.\nAnswer: -1, 3, l, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/34407 and 101\/24.\nAnswer: 275256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2*-6)\/(sqrt(486) + (sqrt(486) - (-5*sqrt(486) - sqrt(486) - sqrt(486))) - sqrt(6)).\nAnswer: 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -98*t + 6602. Determine a(55).\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 16*m**2 - 20*m - 20. Determine h(15).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 1471699 in decreasing order.\nAnswer: 1471699, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/25)*u**(1\/19) assuming u is positive.\nAnswer: u**(-32\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 + t + 22. Is 12 a factor of p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z - 1. Let b(j) = -2*j**3 + 5*j**2 - 4*j - 14. What is -b(a) + 4*g(a)?\nAnswer: 2*a**3 - a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-6050)\/(-80)))\/((-24)\/(-30))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k, -2*k = 2*q + 2. List the prime factors of 50\/3 - q\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2964204\/31 + 95628. Let g = -1493\/310 + y. Let o = -3983\/1014 - -16\/169. Find the common denominator of o and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2040836 < -2041014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)*y)\/(y*y*(y**1*y)\/y))\/(y**(-2\/3)*y*y**(-5)*y) assuming y is positive.\nAnswer: y**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 5347?\nAnswer: 5351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 10*d**2 + 12*d - 21. Calculate y(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**3 + 4*i**2 + 4*i + 4. Let v(z) = -6*z**3 - 5*z**2 - 5*z - 5. Determine 5*l(q) + 4*v(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 166, 149, 132, 121, 122, 141?\n\"Answer: x**3 - 6*x**2 - 6*x + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27145397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 552, 542, 532?\n\"Answer: -10*b + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16611 + 23726. Let q = u + -71047\/10. Let r = 7579 - 75907\/10. What is the common denominator of q and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4454.1 times 33\nAnswer: 146985.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-14))\/((-62)\/(-217)). What is the tens digit of (-12765)\/l + (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*j - 4 = 11, 5*w = 4*j + 31. Suppose z - w = -1. Suppose -z = -t + 4. What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -442773 - -442770.900076. Let m = f - -2.1. Round m to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 6:23 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 748.608504 to 1 dp.\nAnswer: 748.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 96*f**2 + 4359*f - 8723. Determine g(2).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*((4 - 4 + 1)*(-2 + 1 + 3) + 3 - 6 + 4)*(13*h + 6*h - 7*h).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29029 divided by -2235?\nAnswer: -29029\/2235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 2. Let i = w + 1. Calculate the greatest common factor of i and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**6\/6 - 8*b**3\/3 + 9. Find the third derivative of p(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yohhuxh. Give prob of sequence uo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*w + 76 + 199, 3*f = 3*w - 273. Suppose -4*c - 35 - 33 = 4*i, -4*c - w = -2*i. What are the prime factors of c\/49 + 318\/7?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1283*b**2 + 6*b + 7280. Let z(h) = 428*h**2 - 2*h - 2427. Let j(g) = -4*f(g) - 13*z(g). What is the first derivative of j(u) wrt u?\nAnswer: -864*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.4 and 191304716.828.\nAnswer: 191304715.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 50*i**2 + 152*i - 369. Let u be c(-53). Solve 5*v - j - 4*j = -15, u*v + 4*j = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 29 = 5*q, -4*q - 2 = -r + 20. Let c(s) = -s**3 + s**2 + s + 2. Let d be c(2). Solve d = -2*w + 4*w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110011?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*g - 20 = 0, c - 7 - 7 = -3*g. Suppose 83 = c*k - 147. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -13. Suppose -c = 10 + x. Let s be (-4)\/14 - 69\/c. Solve -u = s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s**2 - 2*s + 1. Let m be d(1). Let z = 2 + -7. Which is the second biggest value? (a) 0.1 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005392?\nAnswer: 2, 3, 41, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2325*x - 14641 + 61141 = 0 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -312, -881, -1936, -3633, -6128?\nAnswer: -9577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*o - 12 = -0*j, 2*j + 5*o - 16 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21290413 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 44 + 16*z**3)*(4 + 0 + 1) + (-2*z - z + z)*(-4*z**2 + 0*z**2 + 3*z**2).\nAnswer: 82*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2108950 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-9)*r*r))\/r)**(-38)\/(r**24*(r**(-23)\/r)\/r) assuming r is positive.\nAnswer: r**(-265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10529 - -42117\/4. Which is the third biggest value? (a) h (b) -5 (c) -0.83 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**6\/15 + 153*v**5\/5 - v**3\/6 - 4579*v**2\/2 + 960*v. What is the first derivative of i(c) wrt c?\nAnswer: -8*c**3 + 1836*c**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3524 (base 6) in base 8?\nAnswer: -1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 36602.78 years?\nAnswer: 439233.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 11*a + 19*a. Let l be 16 - (2 + -4 + 3). Put l, a, -2, 2 in descending order.\nAnswer: l, 2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + ((5*(sqrt(1700) + -2))**2 - (1 + sqrt(1700) + 4)) + (sqrt(1700) + 4)*-5 + 3).\nAnswer: -1060*sqrt(17) + 42578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(162) + 1)*4 - (sqrt(162) + 1*sqrt(162)*-5)*-4) + 3)*1)**2*-1.\nAnswer: -23377 + 1512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 7 = 5*k, 0 = -2*t + 3*k - 30 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**3 - 5*p**2\/2 + 3*p. Find the first derivative of z(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3208863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 12 = 7*r. Suppose 2 = 2*k - g - 11, -4*g - 4 = 4*k. Suppose -p - 54 = -k*p. What is the greatest common factor of p and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 24 = -6*t - x, 5*t + 5*x - 30 = 0. Let v be (-6)\/(4 - t\/((-15030)\/(-6676))). What is v rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/6)\/((-109225)\/(-26985)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*h**3 - 572*h**2*p**2 - 2*p**2 - 5*p + 97 wrt h?\nAnswer: 42*h**2 - 1144*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.2 - -0.2. Let x = -7.2 - u. Which is the smallest value? (a) 0 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101010 + -100000011?\nAnswer: 10010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*m + 550 = 80 - 3461 - 115 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*w**4 + 30 - 61 + 28 + 13*w wrt w?\nAnswer: 456*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*o**4 + 252*o**2 - 14679*o**5 + 12976*o**5 + 8*o**4 wrt o?\nAnswer: -102180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/12*(90\/117)\/5. What is the fifth biggest value in c, 0.2, 4, 0.5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(140)*-2)\/(sqrt(140)\/sqrt(5) + sqrt(7)))\/(sqrt(1000)*1*-2 + (sqrt(1000) - (-6*sqrt(1000)*2 + sqrt(1000)))) + 2.\nAnswer: -2*sqrt(2)\/75 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*-3 - -1. Suppose -48 = -4*z + f*p, 2*p = 4*p. Solve -3*o = o + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, 1 p, and 1 x when four letters picked without replacement from {s: 8, t: 2, c: 1, p: 4, x: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 622 divided by 1.\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 966*1\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21a4 + -8?\nAnswer: -21ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/16569 and -31\/47589850?\nAnswer: 428308650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + 6*((sqrt(567) - (sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567)*-3 + sqrt(567) - sqrt(567)) - sqrt(567))*-3 + -5) + -2)**2.\nAnswer: -11664*sqrt(7) + 185004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -19 - (725 + -727).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26974 or -5026?\nAnswer: -5026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k**5 - 5*k**4 + 15*k**3 = 0. What is k?\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1334 + 1324 - (4 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**3 + 25*m**2 + 21*m - 3. Let s(q) = 28*q**3 + 176*q**2 + 148*q - 20. Let j(x) = -20*i(x) + 3*s(x). Let j(n) = 0. Calculate n.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 360 + -57?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 11*y**2 - 6. Let p be x(-11). Let r = 12 + p. Calculate the highest common factor of r and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 11243461*d**3 + 22486949*d**3 - 11243476*d**3 - 2*d**2.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8498, 8499, 8504, 8513?\n\"Answer: 2*f**2 - 5*f + 8501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 53115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -113699 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*128\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -539 + 544. Let a = 78 - 704\/9. What is the nearest to -1 in f, 1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 3. Suppose 0 = -5*b + 5*n + 3120, 20*b - 24*b = 3*n - 2496. Let u = -626 + b. What is d(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*a = 1869, -1859 = -5*s + a - 4*a. What are the prime factors of s?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19566)\/(-14) - 28\/49. Suppose 6*t = 191 - z. Let l = -144 - t. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281 - 279.67. Let b = c + -1.3191. Round b to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h**2 - 3*h**2 + h**2 - 2*h**2 + 0 + 2 - 4 - 3*h**2 + 4 - 4*h**2 + h**2 + 2*h**2 + (2*h + 3 - 3)*(-1 + 1 + h) - h**2 - h**2 + 3*h**2.\nAnswer: -6*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 5) + -1 + 124. Let p = s + -120. Let r = -8 - -4. What is the third biggest value in r, -0.3, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -242, -230, -216, -200?\n\"Answer: c**2 + 9*c - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/4464 and 41\/6696?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3698388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 114*w**2. Let b(h) be the third derivative of 0*h**3 + 33*h**2 + 0*h**4 - 1\/30*h**5 + 0 + 0*h. Determine b(q(p)).\nAnswer: -25992*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**2 + 17*a + 31. Let j(y) = -2*y + 1. Let o(w) = -i(w) - 4*j(w). What is the hundreds digit of o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 4*x**2 - x - 5. What is f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.8, -3, 0.3?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 1. Let c be n(1). Put c, 3, -4 in increasing order.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 - 163. Is 1077 + (11 - (-12)\/b)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131167283*i**3 - 380*i**2 + 452970*i wrt i.\nAnswer: 787003698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (6 + -4 - (-9 - -3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -4*k + 2*w + 195, 3*w = 3*k - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-2) + -123*3\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 122\/(-15) - 24\/(-6) and -31\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5339 divided by 242\nAnswer: -5339\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/7, -1\/4, 0.121, 1\/5 in ascending order.\nAnswer: -2\/7, -1\/4, -0.2, 0.121, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -11. Suppose 3*z + 15 = w, -5*z + 3*z + 1 = 3*w. What is the first derivative of -4 + h*j + 4 - w wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4799169089.\nAnswer: 11, 13, 33560623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 0. Let r be k\/(-6)*1143\/12. Suppose 5*o = -r + 1369. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2172 and -87.\nAnswer: -18.8964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -549.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.2, 0, 73, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3150\/(-19425)*(-148)\/6. Solve -155*q - 45*q**3 + 5\/2*q**o - 150*q**2 - 105\/2 = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 0*t**2 + 0*t**2)*(43 - 43 - 65*t)*(5 + 5 - 7 + 1 + 1 - 1 + (0 + 2 + 0)*(2 - 1 + 1) - 3 + 1 + 1 + 0 - 3 + 1).\nAnswer: -325*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*z + 4*d + 261, -5*z + 270 = 2*d. Let o = z + 87. List the prime factors of o.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 75. Calculate the remainder when 34 is divided by v(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3604, 3607, 3598, 3571, 3520, 3439, 3322?\n\"Answer: -t**3 + 10*t + 3595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 3*i**2 + 1. Let x be r(-3). Suppose 0 = -4*h - 5*u - 0*u, -2*h - 5*u = 0. Put x, 5, h in increasing order.\nAnswer: h, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*f*p*z**2 + 71*f*z**2 - 11338*f*z + 104753*p*z**2 wrt p.\nAnswer: 9*f*z**2 + 104753*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -78*t - 16. Let u be m(-2). Let h be ((-15)\/u)\/((-7)\/4 - -2). Sort 8, h, 0 in decreasing order.\nAnswer: 8, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 8*c**2 + 5*c. Let n(o) = 3*o**3 - 16*o**2 + 9*o + 1. Calculate 5*a(x) - 3*n(x).\nAnswer: x**3 + 8*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3386530903 + -72.\nAnswer: 3386530831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 877?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5393 at most as big as 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(17) + 0) + ((sqrt(17) - sqrt(34)\/sqrt(2)) + 5)**2).\nAnswer: -25 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 25*w**4 + 315*w**3 + 120*w**2 - 700*w + 240 = 0.\nAnswer: -12, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361 - 2616. Is g smaller than -2256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -582*j**3*p**3 + 15*j**3*p**2 + 29*j**3 + 2*j**2*p**3 - 2*j**2*p - 84*j**2 - j*p**3 - 21*p**2 wrt j?\nAnswer: -3492*p**3 + 90*p**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/2060 and -59\/484100.\nAnswer: 484100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oddc when four letters picked without replacement from cmccodocd.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 153*j**2 - 457*j + 1189. Calculate x(150).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 51.02*-19235\nAnswer: -981369.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 2181 = -2*z, s - 727 = -4*z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 15 = -17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56378802 to the power of 1\/3, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 - -298. Calculate the remainder when v is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089.013 to the nearest ten.\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/30 - 13*h**2. Let f(n) = -6 + 7*n - 1 + 0 - 5. Give f(s(p)).\nAnswer: 14*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 2. Let c be k(-7). Let g = c + -10. Let d be (8 + (-231)\/28)*0. Sort g, 4, d.\nAnswer: g, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6.9. Let t = i - 0.1. Let m = -74 - -70. What is the third smallest value in 4\/7, t, m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10303 (base 10) to base 6.\nAnswer: 115411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -242, -2575, -8986, -21539, -42298, -73327, -116690?\n\"Answer: -344*c**3 + 25*c**2 + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 157*x + 318. Let a be o(-2). Let f = 1 + -4. Let w = 2.5 - 2. What is the closest to a in w, f, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 205?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 272748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43512 and 2590?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) 2 (b) -127 (c) -5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1 + (0 + 3 - 5)*(0 + 2 - 6) + 3 - 1 - 1)*(2*u**2 + u**2 - 4*u**2).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 80837?\nAnswer: -5\/80837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11181543 to the nearest integer?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10.5. Let k(r) = 3*r + 1. Let n be k(-2). Which is the nearest to 1? (a) n (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = f - 12, 5*f + u = 72. Let k = 1 - 1. Suppose -3*q + 3*p = -27, k = -5*q - 2*p - 1 + 18. What is the remainder when f is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, x: 5, z: 2, c: 2, s: 3, b: 6}. Give prob of picking 3 x and 1 s.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -659749 or -659678?\nAnswer: -659749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35038401 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 562*t - 1355. What is f(1)?\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 8) in base 3?\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, -25, -1983, -3 in increasing order.\nAnswer: -1983, -25, -3, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -126, -226, -346, -480, -622?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1\/20*z**5 + 0*z + 0*z**3 + 1\/12*z**4 + 3*z**2 + 0. What is the second derivative of y(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. What is the nearest to -2 in 2\/7, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3215 divided by 3500\nAnswer: -643\/700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 - h**4\/3 + h**3\/3 + h**2 + 2*h. Let v be w(2). Is (14\/6)\/(v\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -160907 and -4?\nAnswer: 643628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 + -123. Solve 0 = 4*z + 8 - j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 - 27*j**2 - 8*j - 28. Let d be (38\/8)\/(6 + 100\/(-16)). Let x be p(d). Suppose 0 = -12*r + 3672 - x. What is r rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-73)\/(-2) + (-7)\/14. Suppose 5*h - 20 = 4*j + 56, 0 = 2*h - 3*j - b. Let l be (-18)\/h*1\/6. Is l < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) - (sqrt(162) + 0)) - sqrt(18) - sqrt(18) - (sqrt(6)\/sqrt(3) + -3 + -1*sqrt(242)))*3)**2.\nAnswer: 702*sqrt(2) + 3123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f + 1. Let j be k(1). Suppose 0 = w - 1 - j. Suppose 7*u = w*u + 105. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -338291\/84 - -16111\/4. Calculate the common denominator of -95\/318 and u.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = 5*n + 179. Let l(c) = -4*c**4 - 4*c**3 - 36*c**2 - 10. Let f(k) = -k**4 - k**3 - 12*k**2 - 3. Let p(y) = n*f(y) - 6*l(y). Factor p(b).\nAnswer: 4*b**2*(b - 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 (base 14) in base 15?\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 116 + 113 + 122 + 2*l - 349. Let k(d) = 2*d + 3. Calculate -3*c(q) + 2*k(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1224\/5, -3, 45.1 in decreasing order.\nAnswer: 1224\/5, 45.1, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2+-1476591\nAnswer: -1476589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1525 - 79 + m**2 + 9048*m**4 - 3678 - m**2 with respect to m.\nAnswer: 36192*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (43\/5 - -1)*10. Let z = -465\/4 + v. Let u = -1051 + 11521\/11. What is the common denominator of u and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-91*11\/22. Which is the nearest to y? (a) -1\/5 (b) 0.5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/5 + 678*f**3\/5 + 57798*f**2\/5 + 57122*f\/5.\nAnswer: 2*f*(f + 1)*(f + 169)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 2, h: 7}. What is prob of picking 4 h?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 41?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693) + (sqrt(693) - (sqrt(693) + (sqrt(693)*2*4 + sqrt(693) - sqrt(693)))))\/sqrt(11))\/((sqrt(72) + -2*sqrt(72)*-4)\/sqrt(8)).\nAnswer: -7*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3500 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 2.37. Let t(o) = o**3 - 8*o**2 - 2*o + 12. Let q be t(8). Suppose -3*l = -3 + 12. What is the second biggest value in l, g, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjgg. What is prob of picking 1 n, 1 g, and 1 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 bigger than -0.59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -3 - -53 - (47 - ((3 - 1) + -3)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 249, -1\/8, -34\/7, -4, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 10 = 5*s. Let l = 11 - s. Calculate the least common multiple of l and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (-4*(-5 + 3 + sqrt(1573))*2 + 4 + 4)**2).\nAnswer: -101248 + 4224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -201 + 301. Suppose -d*h + 3491 + 26984 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 462 = -2*k - 2*m, -3*m + 924 = 4*k. Let i = k + 0. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*0.61\nAnswer: 0.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6 = -19. Sort 0, -3, s, 1 in increasing order.\nAnswer: -3, 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89.2 and 0.47?\nAnswer: 88.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*d - 101, 4*g - g = -3*d + 285. Let z = g + -30. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 + 2*d - 6. Let o be m(7). Let j be (9\/(-30))\/((-4)\/o). What is the closest to -2\/7 in j, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 114171?\nAnswer: 114173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4 = -2*c, 3*c = 6*b - 4*b + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.4 + 51.3. Which is the closest to -0.1? (a) 5\/3 (b) 1.8 (c) 1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37007 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 0 = -27. What is the third derivative of -283*f**p + 0*f**6 + 16*f**2 + 283*f**3 - 7*f**6 wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 divided by 1266?\nAnswer: 112\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284724 and 91396404?\nAnswer: 91396404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*z**5 + 585*z**4 - 320*z**3 - 9660*z**2 + 14080*z + 4800 = 0. What is z?\nAnswer: -4, -2\/7, 2, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l - 87 + 59 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 598171.4\nAnswer: 1794514.2","meta":{"dup_signals":{},"source":"arithmetic__mul_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 the biggest value in 15, 0.2, 0, 150\/67, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2288\/(-616))\/(8\/14) - -7. What is the second smallest value in j, -4, -65\/9, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in -3\/28, -0.032, 0.2, 3\/2?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63113 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 -168, -253, -226, -87, 164, 527, 1002?\n\"Answer: 56*o**2 - 253*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/65 + 1153\/2340. Let k(z) be the third derivative of -1\/18*z**6 + 5\/18*z**3 + 0*z - 5*z**2 - 7\/36*z**5 + 0 - u*z**4. Find v such that k(v) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2713949, 5, 6.\nAnswer: 5, 6, 2713949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*g - 10, -4*t + 5*t - 2*g = -10. Let x be t\/(-8) - 2035\/(-20). Suppose -3*b + 45 + x = 0. Calculate the remainder when b is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 464 - 362 - (-24402)\/(-238)?\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1*-307.489.\nAnswer: -1568.1939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i + 1067 - 1067. Let v(a) = -27*a. Give -4*v(q) - 11*x(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 11*k - 66. Calculate the smallest common multiple of 66 and v(-4).\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/(1\/((-6)\/3)). Let b(t) = 2*t**3 - 5*t**2 - 4*t. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcszswszzzszszssw. Give prob of picking 3 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/28 - 384\/21. What is the units digit of 4 - (1 + 3*p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 12. Which is the biggest value? (a) -1 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9889 + 9888.6. Put 20\/7, -3\/11, p in increasing order.\nAnswer: p, -3\/11, 20\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277 + 417. Let d = j + -138. Solve -3*k - 3*u + 37 = d*k, 2*k - 2 = 2*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1873725 divided by 2075.\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2271*o**5 + 105397*o**3 - 105397*o**3 - 2*o + (2*o**2 - 3 + 3)*(-4*o**3 + 5*o**3 - 2*o**3) - 2*o**3 + 2*o**3 - 2*o**5 + o**5 - 2*o**5 + 0*o**5.\nAnswer: 2266*o**5 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.3. Let z = -7.9 + -0.1. Let w = z + 13. What is the smallest value in w, v, 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317561*s + 317565*s + 5*n - 270 = 0, 0 = -2*s + 3*n - 162 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.9 - -14.2. Let c = p - 6. Put 1\/2, c, 2 in increasing order.\nAnswer: c, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.3 * 497.\nAnswer: -12077.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9682 by -25323.\nAnswer: 9682\/25323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0039 - -0.051. What is d rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -48.5. Let r = 1\/19 - -23\/285. What is the biggest value in d, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/10)\/(2 - (7 + -2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**3 - 6*v**2 - 10*v + 1198. Let w(t) = -30*t**3 + 14*t**2 + 23*t - 2795. Determine 23*p(y) + 10*w(y).\nAnswer: -y**3 + 2*y**2 - 396","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 16*x + 21. Let o be p(15). What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -37. Suppose 15 = -3*u, -r*k - 2*u + 5*u = -57. Find the first derivative of k*v**3 + 4 - 6*v**4 - 11*v**3 - 10*v**3 wrt v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c - 4*d + 20, 0 = -c - d + 5. Let y(v) = -5*v**2 + 6*v. Let b(w) = 4*w**2 - 5*w. What is c*b(a) + 5*y(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-1)\/(6\/(-144)*-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -7008258.\nAnswer: -5\/7008258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f + 7. Let z(o) = o**2 - 2*o - 3. Let p be z(3). Suppose -2*y - 11 = 5*w, 3*w - 2*w - 3*y + 9 = p. List the prime factors of v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425)*-1)*-3 + (sqrt(425) + 0)*1)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 64 (b) 4 (c) 0.16502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(78)\/sqrt(6) + 2)*-4.\nAnswer: 16 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**4 - 50*s**3 + 935*s**2 + 3190*s + 2175. Let k(i) = 5*i**4 + 49*i**3 - 944*i**2 - 3188*i - 2172. Let p(y) = -5*k(y) - 4*x(y). Solve p(u) = 0.\nAnswer: -18, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/5 - 6286*n**2\/5 - 6288*n\/5 = 0. Calculate n.\nAnswer: -1, 0, 3144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/30805 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*t + 15 = 0, 0 = -0*c + c + 2*t - 3. Suppose -p + 6 = c. Suppose 2*s + 6*s**2 - 3 - s**3 + 3 + 5*s**p = 0. What is s?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 5*b = 0. What is the derivative of 4*m**2 + 5 + 2*m**2 + b*m**2 wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k + 10. Let a(g) = g + 1. Let w(j) be the third derivative of j**4\/24 + 5*j**3\/6 + 3*j**2. Let z be w(-4). Give z*v(o) - 10*a(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 407493.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71, 72, 73?\n\"Answer: k + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2026554 by -6.\nAnswer: -337759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:29 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 141479, 0.2, 0.8, -2\/11, 2 in decreasing order.\nAnswer: 141479, 2, 0.8, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-300))\/(-7)*6.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -3) + -33 + 24 + -33?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + 32 - 26) + -38 + 9\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -21\/2 (c) -1\/2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2151 - -11?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 4*t**2 + 0*t**2 + (-12*t + 4 - 4)*(12 + 3*t - 12) - 2*t**2 - 4*t + 4*t to the form r*t**2 + s*t + v and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3645488468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173242718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.62383mm in meters?\nAnswer: 0.08562383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o - 20, -4*b + 3*o = -52. Suppose 3 + 9 = -4*q. Let p(v) = -34*v - 8. Calculate the remainder when p(q) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3384 and 301458?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 44\/7, -4\/7, 238, -0.5, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23 and -33.\nAnswer: -7.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 5. Let t(h) = 132 - 296 - h + 170. Let r be (5\/3)\/(2\/(-6)). Give r*y(m) + 4*t(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -2 + 5 + -6. Let d = -3 - k. Suppose 6*h = d*h + 124. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 + 153 - (6 + (3 - 2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 8:44 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let o(s) = -775*s**2 - 6*s - 3. Let l(w) = -99974*w**2 - 772*w - 386. Let h(a) = -3*l(a) + 386*o(a). What is h(k(z))?\nAnswer: 772*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-422*q**3 + 296*q**3 - 580*q**3)*(4*q**2 - 5*q**2 - 2*q**2).\nAnswer: 2118*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/397917 and 47\/530556.\nAnswer: 1591668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/2755 and -81\/3340?\nAnswer: 1840340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274 or -1399?\nAnswer: -1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -63, -96, -127, -156, -183?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6471200 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(4)\/sqrt(128) - sqrt(2))*4)**2 - (1 + (4*sqrt(200))**2 + -3)) + 1.\nAnswer: -3246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2153344 + -14330?\nAnswer: 2135014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r**3 - 5*r**2 + 5*r - 42. What are the prime factors of u(-6)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/18 - 16*s**3\/3 - 192*s**2 - 29*s + 24. Factor z(w).\nAnswer: -2*(w + 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -7)\/(-2) - (-16)\/4. Find s, given that -4\/5*s**2 - 2\/5*s + 3\/5*s**4 + 1\/5 + 2\/5*s**h = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 20. Suppose 49 = -s*n + 44. Let p be -2 + n + 25\/5. Solve p*v - 2 = -3*o, -o - 3*o - 3*v + 1 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21490 + 21490. Solve w - 1419 + 1422 = g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 390400 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -575 - 556 + 1144 - i. Let k(b) = 3 - 5 - 7*b + 3 - b**2. Let j be k(-6). Determine t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let u(z) = -3*z**2 - 29*z + 4. Let w(v) = 22*v**2 + 199*v - 30. Let p(n) = 30*u(n) + 4*w(n). Calculate q(p(a)).\nAnswer: -2*a**2 - 74*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10430 and 6370.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 3*sqrt(432))\/(sqrt(162)\/sqrt(3))*-2.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 42210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let t(a) = 4*a**3 + 11*a**2 - a - 1. Give 2*t(h) + 22*z(h).\nAnswer: 8*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -13\/20, -1\/3, -2\/11 in ascending order.\nAnswer: -13\/20, -1\/3, -2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*f - 1581, -2*a - 787 - 263 = -2*f. Is f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 3\/15)*5. Let o be 2378\/(-820) - (0 - 0 - (-12)\/(-8)). Which is the smallest value? (a) -3 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-21)\/(-18)*2\/6 and -103\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/(z*z*z\/(z*((z\/z**(-8))\/z)\/z)))\/z)\/z)**(-1\/84)\/((z\/z**(5\/4))\/z)**(-1\/16) assuming z is positive.\nAnswer: z**(-67\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -2)**2 + -1.\nAnswer: -20*sqrt(2) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((4*sqrt(468) - sqrt(468)) + sqrt(468))*6)\/(sqrt(324) - (sqrt(324) + (1*sqrt(324)*-4 - sqrt(324)) - sqrt(324))).\nAnswer: 1 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -547*k**3 + 7*k**2 - 243*k - 979. Let c be h(-4). Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, w: 1, i: 2, c: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7236858089 to the nearest integer?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -1 - 1. What are the prime factors of (0\/2)\/m - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.081 (c) -0.5 (d) 0.4 (e) -0.09 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 4. Let d be p(4). Suppose 4*q + q - 17 = 4*s, -d*q = -20. Let u = -0.2 - -1.2. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, g: 1, h: 6, s: 5, a: 4}. Give prob of picking 3 a.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(120\/24*(8\/(-10))\/(-4)*-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 - 17974480*y**3 + 16154366178470*y**2 - 484618852647600*y + 3634611063175125 = 0. Calculate y.\nAnswer: 15, 1797433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/((-245)\/168))\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/60)\/(1 + 4 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -400*p + 208*p + 167*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16154704 and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338322830 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 38709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15556488, -31112960, -46669432, -62225904?\n\"Answer: -15556472*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5 - 5 - 2*m - 45*m**3 - 2*m**2 + 40*m**3. Let w(x) = -9*x**3 - 4*x**2 - 4*x. Give -5*q(j) + 3*w(j).\nAnswer: -2*j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -42. Suppose -4*b + 5*b = -51. Let g = r - b. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 31.4. Let r = 1.3 + g. Which is the closest to 0? (a) 0 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 254869, 254867, 254863, 254857?\n\"Answer: -p**2 + p + 254869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*b**3*l**2*z**2 - b**3*z + b*l**2*z**3 - 2*b*l*z**2 + 70*z**3 wrt l?\nAnswer: 126*b**3*z**2 + 2*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7106135.\nAnswer: 5, 1421227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 2935268?\nAnswer: -2935275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 + 21*o**3 + (o + 5 - 5)*(o**2 - 15*o**2 + 7*o**2).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-18)))\/(m**12\/m*m))**(-15))**(2\/103) assuming m is positive.\nAnswer: m**(900\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-381)\/(-6) - 3\/(-2). Let g = 106 - m. Suppose 5 = p + 5*t, -t = -3*p - 3*t + g. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + 50. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n. Let m(k) = 2*k**2 + 14*k. What is v(m(o))?\nAnswer: 12*o**2 + 84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3166348\/11 - 287405. Let x = q + -447. Suppose -4*s + 2*f + 6 = 0, -4*s - 3*f - 14 = -f. Which is bigger: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 times -2.74\nAnswer: 131.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -6. Let i = -0.04 - -0.44. Which is the second smallest value? (a) 2\/17 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549385?\nAnswer: 5, 19, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 33, 76, 147, 252, 397, 588?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156\/52 - (1 - (1 - -2)). Let j = -21 - -34. Find the first derivative of 9 + 6 - d*l - j*l - 2 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4848 and -95\/12?\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9176456207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 4*r. Let f be 3\/(-2)*(-24)\/18. Let b(x) = -x**2 - x. Suppose -4*n + 0*n = -d - 1, -4*d - 4 = 5*n. Let y(a) = d*o(a) + f*b(a). Give y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -9.5 (c) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 14. Let v be r(6). Suppose 0 = -2*t + 2*o + 22, -v*t = 5*o - 1 - 28. Suppose t*u - 11*u - 307 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/48 and -62\/15?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b + 35b?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 348 - 349. What is the fourth smallest value in 0.2, 1\/7, t, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44a205 (base 11) to base 8\nAnswer: -2567045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 13*k + 100 = 0. Suppose -k = 5*n, -n = t - 4*n - 25. Suppose 0 = 8*o - 22 - t. Solve o*g = g - 5*w - 14, 2*w - 1 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 1b40?\nAnswer: 1b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/7)*w)\/w*w**(2\/5)\/w*(w\/w**(-1\/3))**(-2\/25))**(1\/45) assuming w is positive.\nAnswer: w**(-671\/23625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/9 and (568\/480 - 5) + 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*g = 3*n - 26, 2*g + 4 = 0. Let u(c) = -3*c - 22. What is u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673998043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - 71*v**2 + 269*v - 14. Let q be j(-27). Sort -9, -3, -1, q, 0 in ascending order.\nAnswer: -9, -3, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:23 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546938 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:36 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9)*p*p*(p*(p**28*p)\/p)\/p*p*p)\/(p**7*p**(-35)))**(-38) assuming p is positive.\nAnswer: p**(-1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.1. What is the biggest value in 1\/5, v, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*r - 3288 - 1691 + 239 = 0 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 + 1. Let c(r) = 131 - 4*r**2 - r**3 - 122 - 2*r**2 - r**2 + 8*r. Let b be c(-8). Suppose -3*p + b = -3*w, -7 - 2 = -5*w - p. What is f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618 - 673 = -6*c - 5*o, 10 = 2*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {g: 2, m: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28065 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -265*a + 1060. Let x be t(4). Is 8\/349 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + 21 + (89 - 77).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 567, 551, 529?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/40 + 73\/680. Let h = -2 + 2.1. Sort 4, x, h.\nAnswer: x, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24624434 (base 7) in base 3?\nAnswer: 11012001000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 1. Let q(x) = 4*x**2 + 4*x - 8. Let z(w) = -8*d(w) + q(w). Suppose z(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**2 + 311 + 3462*l**3 - 710*l**3 + 3690*l**3 + 287 + 2*l**2 wrt l?\nAnswer: 38652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than -1.85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -26 - (-8 + -7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*b**3*h**2*s - 6*b**3*h - b**2*h*s - 43*b + 518*h**2*s + h*s wrt h?\nAnswer: 28*b**3*s + 1036*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 7. Let o(a) = a**3 - a**2 - a. Let d be o(2). Let b(y) = 7 - 1 - d*y + 0*y. Let h be ((-36)\/(-16)*-4)\/(3\/2). What is h*z(x) - 7*b(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-10*(-20)\/(-3500))\/((-4)\/(-10))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.401173288023 and 4.8.\nAnswer: 6.201173288023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*j. Suppose x + 4*o - 8727 = j, 35003 = 4*x - 0*o - 3*o. Suppose 2*i = 0, i + x = -2*t - 2653. Round t to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130195000 to the nearest 1000000.\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 24.5, -0.7 in decreasing order.\nAnswer: 24.5, -0.7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 = -26*f - 3*f - 109. Factor -f*r + 54 + 3\/2*r**2.\nAnswer: 3*(r - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3628 - 2135 - 2026)*(4*k**2 + 2*k**3 + k - k).\nAnswer: -1066*k**3 - 2132*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhqr when four letters picked without replacement from {h: 1, d: 1, q: 1, r: 1, j: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 c when four letters picked without replacement from fffsscfffsfsfcfsssc.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 7) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 8\/3 (c) -0.5 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70611 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -314.\nAnswer: -313.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + (sqrt(1620) - 2*sqrt(1620)) + -2*sqrt(1280))\/((sqrt(1280)*-1 + sqrt(1280) + sqrt(1280))\/(sqrt(4)\/(sqrt(8)\/sqrt(4)))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 507.1853 centuries?\nAnswer: 50718.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1882854708 divided by 6\nAnswer: 313809118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11741708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 34*c**2 + 35*c - 64. Let a be j(33). Let b(g) be the second derivative of 2*g**3\/3 + 3*g. Calculate b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1132, -2638, -4084, -5440, -6676?\nAnswer: -7762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ail when three letters picked without replacement from rliaw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 516 and 55734.\nAnswer: 4793124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 7. Let z be j(-4). Let v = -2 + -3. Let f(b) = -b**3 - 5*b**2 - b. Let h be f(v). Solve 7*r - z*r = 2*n - 4, 0 = -h*n - 5*r - 35 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 10 - 30. Solve -2 + 12 = m*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, q: 2, u: 2, m: 5}. What is prob of picking 1 f, 2 m, and 1 u?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/8 - 27*c**2\/8 - 51*c\/4 - 9 = 0. Calculate c.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 10, 15, 20, 25?\n\"Answer: 5*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -107*u**2 - 157*u + 40*u**2 + 156*u - 58*u**2. Let x(y) = 35*y. Determine b(x(i)).\nAnswer: -153125*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 8 + 8 + (3 + 4 - 5)*(-6*g + 0*g + 3*g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(17\/9 - 2). Let r = -0.05 + -0.05. Which is the third biggest value? (a) r (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246 - -145. Let j = n + 101.82. Which is bigger: 1\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 9) + -21 + -6 + 21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**3\/6 + 3*h**2 - 11*h. Let b(s) = -s + 6. Let l(q) = -3*b(q) + 4*r(q). Let z(d) = 9 - 6 - 4. Determine -2*l(i) - 10*z(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 785 + 5551940\nAnswer: 5552725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 51. Let b be f(-20). Sort -3, 1, b, -4 in descending order.\nAnswer: 1, -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -268*r - 15. Suppose 0 = 6*t - 9*t - 2*x - 49, 0 = -3*t - 4*x - 41. Is k(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303 and 480.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**6\/15 - 3*h**5\/10 - h**4\/3 + 101*h. Determine z, given that b(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + k. Suppose 5*c + 4*f = c + 12, 5*c = 4*f - 3. Let m be w(c). Suppose 0 = 5*h - m*h - 95. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.13, -3, 100, -0.4, -2 in decreasing order.\nAnswer: 100, -0.13, -0.4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1357, -4090, -8641, -15010, -23197?\nAnswer: -33202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -27*z - 21. Let x be q(7). Let u = x + 204. Let a(k) = k**3 + 5*k**2 - 5*k. What is a(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2000021010211 (base 3) to base 12\nAnswer: 436134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5\/3 - 5*n**4\/3 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 13, 2, -9?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10064 = 7*u + 898. Let q = 3107 + u. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Solve -w*h + h - 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -135 and -135 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -402, 0, -3.\nAnswer: -402, -3, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 10184?\nAnswer: 61104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1552200 divided by -15\nAnswer: 103480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/7 + 32082*r**2\/7 + 608976*r\/7 + 320440 = 0. What is r?\nAnswer: -16022, -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*l + 0*l - 3*l)*(3 - 2 - 2) + l + 1 - 1 + 0*l - 2*l + 0*l + 2*l + 2*l - 3*l)*(-12*l - 8*l + l) as c*l + a + x*l**2 and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 15 - (6 + -7) - (-7 + 12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 624293165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*-60026097\nAnswer: 240104388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g**4 + 0)*(0*g + 0*g - g) + (4*g**4 - 38*g**3 + 38*g**3)*(-13*g - 9*g + 19*g).\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/((-12)\/(-16)). Let t be g\/(-7) - 346\/(-14). Suppose 5*m = -3*q + t, -2*m - 4*q - 1 = -25. Solve 3*o = m*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 6. Let r(b) = 43*b - 1. Let m be r(h). Suppose 4*o + 1 = -3, -2*o = 4*q - m. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/9828 and -17\/73710.\nAnswer: 147420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u - 105 = 0. Let j(c) = -u*c**2 + 20*c**2 + 3 + 4 - 11*c. Is j(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 659*b**2*v**3 + 5*b*v**2 + 2*v**3 + 20*v + 51 wrt b?\nAnswer: 1318*b*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50052638.\nAnswer: 2, 37, 676387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 less than 411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-16)\/10)\/(-4))\/(20 + (-1919)\/95). Let j = 5.7 + -6. Sort 13, w, j in decreasing order.\nAnswer: 13, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 12, p: 3}. Give prob of sequence yggp.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(0 + 9\/(-6)). Is t\/10*3*5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.22 in 227, -0.01, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 5, l: 3}. What is prob of sequence lj?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26142?\nAnswer: 2, 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 3, -18, -59, -126, -225, -362?\n\"Answer: -y**3 - y**2 + 3*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p - 10. Solve -p*t + 4*t = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083830961?\nAnswer: 23, 409, 327823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h + 252 = 46*h. Calculate the highest common divisor of 112 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279204573.\nAnswer: 3, 6659, 164149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/21466 - -1066666\/2092935. What is the common denominator of 63\/10 and n?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(27) + 2 + 2)**2.\nAnswer: 24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1269176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*g = k + 2, 3*g - 4 = -k. Let h be 1\/(-3) + (-70)\/(-3). Let y = h + k. What is the highest common divisor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -273229*r - 1263. Let w(j) = 433*j + 2. Let g(l) = -2*s(l) - 1263*w(l). Let v(a) = a. What is v(g(u))?\nAnswer: -421*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let u(d) = d**3 - 24*d**2 + 63*d + 5. Suppose 5*b = 3*y - 4*y + 105, y = 5*b - 105. Let j be u(b). Sort 8, j, h in ascending order.\nAnswer: h, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1776747762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 - 6*t**2 + 2*t + 63. Let u(h) = 17*h**3 - 27*h**2 + 9*h + 251. What is -9*j(i) + 2*u(i)?\nAnswer: -2*i**3 - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, -105, -40?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * 63.\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2dc4a36a - -3?\nAnswer: -2dc4a367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.481 + 3.4. Let r = n + -0.419. Which is the nearest to -2\/5? (a) r (b) 2.3 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5636611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 6. Let u be 4\/22 + ((-234)\/99)\/2. Calculate d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a, -99 + 28 = 3*j + 2*a. Let u be (j\/2)\/((-3)\/4). Let p = 20 - u. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*c - 335*c - 59*c + c + c - 4*c + (2 + 2 - 3)*(c + c + c) + (-3*c - c + 5*c)*(0 - 2 + 3).\nAnswer: -483*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-5*sqrt(120)\/sqrt(5))\/sqrt(8)).\nAnswer: -5 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 83.9 * 0.0794\nAnswer: 6.66166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -119. Let b be -7 - h - (-450 + -2). Is b + ((-2)\/(-6))\/((-13)\/117) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = 3*g. Let q be (g\/2)\/((-7)\/28). Solve 0 = 4*r - q*r - m - 13, 0 = -5*r + m + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(-6)\/81 + (-2522)\/(-9).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -606?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3 - 4)*(2 + 1 + 4) + 5 + 1 - 3)*(-1 + 1 + 5*v) in the form d + m*v and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61024 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1519, -4909, -9975, -16717, -25135?\n\"Answer: -838*d**2 - 876*d + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 87*m**2 + m + 2. Let c(n) = 130*n**2 + n + 5. Let z(j) = -5*c(j) + 7*q(j). What is the second derivative of z(y) wrt y?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -45\/2. Let b = 2.9 - 3. What is the biggest value in 2\/9, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*v - 4, -2*k - 1 = -v - 2. Solve 3*t = 3, -3*f + k = 4*t + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228106?\nAnswer: 2, 17, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2154878 and 0.4?\nAnswer: 861951.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**9\/3024 - w**6\/120 + w**3\/3 - 3*w. Let d(x) be the second derivative of k(x). Find the third derivative of d(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/sqrt(6)*1 + sqrt(360)\/sqrt(648))\/(6*sqrt(576)*1 - (sqrt(576) + (sqrt(576) + 3*sqrt(576))*-4)))**2.\nAnswer: 125\/571536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Let l(t) = -6487*t**2 - 3315*t. Let c(a) = a**2 + 51*a. Let q(x) = 65*c(x) + l(x). Calculate i(q(z)).\nAnswer: 82484168*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and 56\/99?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223012131 (base 4) to base 3.\nAnswer: -22222011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1735858 millimeters in centimeters?\nAnswer: 0.01735858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16765 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/20 - g**4\/2 + g**3\/2 - g**2 - 2*g + 8. What is the units digit of w(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6454629 divided by -1409?\nAnswer: 4581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24822 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 8*d**2 + 8. Let t be y(7). Suppose t = 2*h + 4*b - 83, 5*h - 322 = 4*b. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*p - 9*p = 51*p - 232 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + g + 12 - 3 = 0, -5*g = 2*t - 21. Which is the biggest value? (a) 0.4 (b) t (c) -5 (d) 24\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:01 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27873*g**4 - 139786*g**2.\nAnswer: 668952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 4*n + 4*d + 6, -3*n - 2*d = -7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790776.\nAnswer: 2, 3, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6 + 0*q**2 - 2*q**2 + 4*q**2 + 7*q - 3*q**2. Let z be x(5). Suppose z*i - r = 19, 2*i + 5*r = r + 14. Solve i*m - 17 = 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -263134, -1052597, -2368396, -4210531, -6579002, -9473809?\n\"Answer: -263168*w**2 + 41*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 8. Let h(b) = -1. Let s(p) = -a(p) + 4*h(p). Let i be s(2). Suppose 5*g - 5*d + 25 = -10, -i*g - 22 = -4*d. Sort g, -2, -5.\nAnswer: -5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-168) + 15\/60 - 70432\/26040.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12164)\/(-18) + (-6)\/(-27). What is the units digit of r\/20 + (-1)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12451\/28 + -118763\/476. Which is smaller: i or 196?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8388 from -0.418.\nAnswer: -1.2568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -704, -1380, -2058, -2738, -3420, -4104?\n\"Answer: -g**2 - 673*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuuwwwuwwwwwww. What is prob of sequence uw?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 8*k + 3*k + 1857 - 1857.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*z - 11914 - 1736 = 0 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -874 - -873.6. Which is the nearest to 0? (a) 1\/5 (b) -0.11 (c) w (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 8*y + 15. Let h be n(10). Let k be 5 - (2 - h\/(-5)). Suppose -k*q + 234 = -q. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 1632588*v**2 - 375336540*v - 21578809300.\nAnswer: -4*(v + 115)**2*(v + 407917)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = -3*f, 4*f + 0 = 4*w - 4. Suppose -4 = y + 3*l - 34, 60 = f*y - 3*l. Let i = 8 - -10. Calculate the highest common divisor of y and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - 28\/20. Which is greater: y or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let t(r) = 42182*r. Calculate s(t(d)).\nAnswer: -84364*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5280691 - 0.4.\nAnswer: 5280690.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 2, -15\/10969 in descending order.\nAnswer: 2, -15\/10969, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149333663 to the nearest integer?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*b**5 + 6484*b**4 + b**3 - 1367519*b**2 wrt b.\nAnswer: 3060*b**2 + 155616*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzn when four letters picked without replacement from {n: 5, z: 7}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 21*k = -154. What is the second derivative of -2 - 4*h + 0 + 11*h**3 + 9*h**2 + 2*h - k*h**2 wrt h?\nAnswer: 66*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.2 - 9. What is the second biggest value in -3, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)*(-1)\/2. Suppose -16 = -g*a + 4*a, -3*a - 47 = -5*d. Suppose 3*i - d*i = -80. Calculate the least common multiple of 22 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 16) in base 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 2*k**2 + 2*k - 2. Let i be c(3). Let h = 7 + i. Solve -2*t - t**3 + t**4 - 3 + 3*t**3 + 4 - h = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6809307.7 take away 3139?\nAnswer: -6812446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:49 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*n - 2566 + 2424. Sort 5, n, 282, -5, -1 in decreasing order.\nAnswer: 282, 5, n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18743 = 4*j + 4*w - 27021, -4*w = -j + 11461. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 1591*t**5 - 2180*t + 9754. Find the first derivative of f(u) wrt u.\nAnswer: 31820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*l**4 + 81*l**3 - 45*l**2 - 325*l - 250.\nAnswer: (l - 2)*(3*l + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 10*x**2 + 8*x - 3. Let a be z(-9). Suppose 4*v - 6*v + a = 0. Suppose 0 = r - v*r + 4. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560173 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103907278*o**2 - 114*o - 149667 wrt o.\nAnswer: -207814556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 2768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + (145 + -132 - (35 - 0))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80375 and 250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 4*a - 8, -4*r - 2 = -2*a - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34 + -3 + (0 - -2). Suppose 2*x - k = 5*l, 5*l + 14 = -11. Suppose x = u + g - 3*g, -3*g + 9 = 0. Calculate the remainder when 29 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 361 divided by 260375\nAnswer: 361\/260375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196885885?\nAnswer: 5, 7, 19, 107, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 0*a + 3*a)*(-4*a - 101 + 15*a**2 + 2*a + 103) as p + z*a**3 + t*a + v*a**2 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 7. Suppose 2*y = -4*z + 354, 0 = -5*y - z + 357 + 501. Let h be y\/(-15) - 12\/20. Determine g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 19. Calculate t(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 104, 2, 0.4, 1, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 18*y + 72. Give k(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w**4 - w)*(-1 + 5 - 5)*(2*w - 5*w + 2*w).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + l + 1. Let p be g(-1). What is the third derivative of -u**2 - 4*u**2 + 3*u - p*u + 4*u**3 wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 + 2 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(6 + 2*w - 3 - 2*w**2 - 7).\nAnswer: 6*w**2 - 6*w + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 6, -28, 8 in decreasing order.\nAnswer: 8, 6, 4, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-33))\/((9282\/504)\/221).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 5*h - 2. Let y be r(3). Let s = 0.4 + -0.3. Let z = -0.1 + s. Sort 1\/3, y, z.\nAnswer: y, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -13, 85, 3, -4 in ascending order.\nAnswer: -14, -13, -4, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-32)\/(-176)*((-9)\/3)\/(-69)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + (-6)\/((-12)\/1598)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 4962 (c) 0 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67234937.\nAnswer: 7, 11, 661, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2*(-3)\/(-12))*-1. Is 2 - ((s - -6) + -377 + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19789 equal to 19203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrqx when four letters picked without replacement from {x: 1, m: 9, q: 4, r: 2, o: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 706 and 7?\nAnswer: 4942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Let h = f + -1. Let k = 478\/7 + -68. What is the closest to k in -1, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1698938826?\nAnswer: 2, 3, 13, 17, 149, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*p + 15*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21987, -43975, -65963, -87951, -109939?\nAnswer: -131927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2862172\nAnswer: -1\/1431086","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(4 + -2) - -66. Suppose -2*u - 16 = -p. Calculate the remainder when 51 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffyofofy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i - 8. Let p(s) = 6*s + 75. List the prime factors of p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 951 + 325 + 326 + 322.\nAnswer: -3*a + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 1. Let z be x(2). Suppose -z*q = -5*q + 16200. What is q rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 2. Let s(k) = 3*k**2 + 17*k - 8. Let x be s(-6). Let j(y) = y**2. Calculate x*j(q) - r(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -64. Calculate the lowest common multiple of 14 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from ookkkckkkokukco.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -415 + 145 + 452 + 289 + 2*u as j + x*u and give j.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10858, 10864, 10876, 10894?\n\"Answer: 3*c**2 - 3*c + 10858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11861 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r. Let z(m) be the first derivative of -2*m**3\/3 - 15*m - 584. Determine a(z(i)).\nAnswer: -20*i**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0, -4, 6, 4, 11 in decreasing order.\nAnswer: 59, 11, 6, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -4)\/((-30)\/(-9) - 3). Suppose -r - 15*d - 13 = -12*d, -r + a*d = -17. Which is smaller: 18\/11 or r?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/75 and 33\/125.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 45.0001142. What is c rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/2 + 10. Let z be 23*-44*1\/18. Let j = -56 - z. What is the smallest value in -4\/7, d, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 4:28 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5, 1\/73, 1, -232.5, -2?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 25. Suppose -p + 55 + 25 = 0. Suppose 11*y - 151 = p. Solve w*q + 4 + y = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12 and (-66276)\/44688 + 2 + 24\/(-14)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -840, 12420 in decreasing order.\nAnswer: 12420, -2, -840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1, -646 in decreasing order.\nAnswer: 5, 1, -5, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228*u**2 - 153*u**2 + 205*u**2 + 3*u**2 - u**2 + 0*u**2 + (3*u + 0*u - u)*(0*u - 3*u + 4*u) + 4*u**2 - u**2 - u**2)*(-3*u + u + u).\nAnswer: -286*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2100266700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 - l + 4. Let f be w(0). Let i(t) = t**2 + f*t**2 - t**2. Let c(n) = 3*n. Determine i(c(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5 + 20. Calculate the common denominator of 31\/3 and (-2)\/l + (-3377)\/(-330).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 15) to base 16\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 15.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 + 868\/63. Suppose 2*v + 50 - h = 0. Let r = v - -28. Calculate the highest common factor of r and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 0 - 2*w + 2 - 1. Let m be q(-1). Suppose -5 = 5*v, -4*k - v + 44 = 17. Solve c + j - 6*j + 15 = m, 0 = c - j + k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 1214, 2733, 4860, 7595, 10938?\nAnswer: 14889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -25. Calculate the remainder when l is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3983*j + 3968*j + 3963*j - 11895*j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2 in ascending order.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13740, -13390, -13040, -12690?\n\"Answer: 350*h - 14090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3412*n + 86768 = 7356*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184\/13*o**3 - 48\/13*o + 0 - 8\/13*o**4 + 190\/13*o**2.\nAnswer: -2*o*(o + 24)*(2*o - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -863*k. Let c(q) = -2*q. Calculate w(c(l)).\nAnswer: 1726*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8694733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 i, and 1 l when three letters picked without replacement from {p: 5, a: 1, s: 2, i: 3, d: 1, l: 3}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12 - 3*i + 6 + 11. Calculate z(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/93 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 20. Let v = -6.5 + a. What is the biggest value in 4, -0.3, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2. Let x be (-8)\/14*9\/18*-7. Let n(r) = x - 2 - 4*r. What is n(i(p))?\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -76.305. Let z = u + -0.205. What is the closest to z in -1\/7, -0.9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohza when four letters picked without replacement from {h: 2, o: 3, z: 2, a: 8}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 10*w**5 - 2292*w**4\/13 - 3374*w**3\/13 - 192*w**2\/13 + 760*w\/13 = 0.\nAnswer: -1, -10\/13, 0, 2\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 + 2*y**2 + 3*y**2 - 2*y. Let x be v(3). What is the second derivative of x*f - f**3 - f**3 - f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8686 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001111100 - 100?\nAnswer: 1001001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 3349*a - 200637. What is m(-61)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -214, -1\/3, -3\/7, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141665?\nAnswer: 5, 29, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.8 + -7. Let d = -1.3 + b. What is the closest to 2\/13 in -0.3, d, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9631 is divided by 4779?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q + 114. Let h = -23 + q. Calculate the highest common factor of h and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*n + 4465, 3*o = 2*o + n + 1485. Calculate the remainder when o is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 17*f**2 - 8*f + 8. Let g(v) = 11*v**2 - 5*v + 5. Let o(j) = -2*j - 9. Let r be o(-4). Let x be (-93)\/(-12) + r\/(-4). Give x*g(l) - 5*y(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1520 and 26114360?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12884, -12931, -12980, -13031?\nAnswer: -13084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.85352*-100.\nAnswer: 985.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/4 + 563*b**2\/2 - 751*b\/4 - 53016094 = 0.\nAnswer: -751, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 401*m - 1181 wrt m?\nAnswer: 401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2855381.3 times -0.4\nAnswer: 1142152.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70355 + 4*j**3 - 70355 - 3*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -3, 5\/3, 71, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -65*g**3 + 261*g**2 + 2*g - 1. Determine t(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 5*s**3\/6 - 3*s**2\/2 - 3*s. Let w be i(2). Solve -4*l + 17 = -4*m - w*l, 0 = 5*m + 2*l + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.01 (b) 0.2 (c) 4 (d) -1 (e) -4 (f) -1277\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11286041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 73047499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-2)*2\/(-3). Let j = -1 - v. Let w(r) be the second derivative of -r**3\/6 - r**2\/2 + 3*r. Let s(l) = 3*l + 2. What is j*w(o) + s(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31442400 = -3*b + p, -18*p + 20*p = 5*b + 52404000. Round b to the nearest 100000.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158386 + 166867.\nAnswer: 325253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-1) - (8 + -15). Suppose l*u = i + 7, 3*u - 5*i - 2 = -3*i. Suppose -u*g = -9*g + 320. What is the remainder when g is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001668213 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 2. Let z(b) = -5871503*b. What is k(z(c))?\nAnswer: 17614509*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*o - 67*o + 10 = 0, 0 = 5*f - 5*o - 1661075. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 735750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 7*h**2 - 7*h + 5. Let v be w(-8). Let l be (-33)\/12*(v + -1). Solve 6*a - q = 3*a + 5, l = 5*a - q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-3) - (0 - -3). Suppose p*u = -2 - 4. Calculate the smallest common multiple of 12 and -3*u\/((-4)\/(-24)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**3 - 512*g**2 + 99*g + 154. Give q(51).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 + 3 = 2*i, -i = -5*u + 11. Suppose -3*s + 9 = 3*l, 4*l + u*s = 2*l + 3. Suppose -8*k + 5*a + 106 = -4*k, l = -3*a. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-9) - (-9 - -7). Let k(j) be the third derivative of 1\/36*j**4 + 3*j**2 - 1\/90*j**5 + a*j**3 + 0 + 0*j. Factor k(i).\nAnswer: -2*(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 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: Collect the terms in 18*j**2 + 15*j**2 - 21*j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-2\/5)*z)))**(-2\/17)\/(z**(-2\/29)*z**(-11\/3)) assuming z is positive.\nAnswer: z**(27103\/7395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.075.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)*o*o)**(2\/7) assuming o is positive.\nAnswer: o**(13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78589996 divided by -2?\nAnswer: -39294998","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let -16*j**2\/7 - 60*j\/7 - 36\/7 = 0. Calculate j.\nAnswer: -3, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/120 - w**5\/12 - w**4\/4 + 3*w**2. Let f = 8 - 2. Let u be r(f). Solve 5 = -u*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87169037 to the power of 1\/2, to the nearest integer?\nAnswer: 9336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 at most -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*i + (2 + 1 + 1)*(i - 8*i + 0*i) - 2*i + 3*i + 2*i.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, -74, 0, -12 in ascending order.\nAnswer: -74, -12, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - (22 + -16 - 21) - (-2 + 0) - 0.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30025 plus 4086210?\nAnswer: 4086209.69975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*b + 16 = 0, -124 = 3*o + b - 117 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 466*h**2 + 20*h + 31. Let w be u(-2). Let j = -991 + w. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944 = 223*z + 16*z + 1685 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.7513 times 5630\nAnswer: 4229.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -12, 1 in descending order.\nAnswer: 1, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1892 divided by -160.\nAnswer: -473\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152262 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: How many months are there in 86.65645 millennia?\nAnswer: 1039877.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {q: 2, t: 1, r: 10, c: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2776 - 2772 - (1 - -2 - -2 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-98)\/(-42))*-1*1\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1112 + 1115. Put x, 0.228, -0.3, -1\/7 in increasing order.\nAnswer: -0.3, -1\/7, 0.228, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58770616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28816974 is divided by 28816971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 11:23 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50691 is divided by 8448.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h**3 + 21*h**2 - 36*h + 163. Determine a(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/40)\/4 + 36\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -3*w**7\/70 + 203*w**6\/8 + 681*w**5\/20 - 1015*w**4\/8 - 339*w**3 + 578*w**2 - 3. Determine m so that j(m) = 0.\nAnswer: -1, -2\/3, 1, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/14)*i*i**(9\/5))**10)**41 assuming i is positive.\nAnswer: i**(8241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 61.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2. Let b(n) = -13*n + 3. Let v(u) = 17*u - 3*u + 12*u - 5. Let d(a) = -5*b(a) - 3*v(a). Calculate d(r(c)).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 4.201\nAnswer: -92.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -9 - -5 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 300 + -301. Let p be g + -1 + 345\/15. Solve -2*r = 3*i + 12, -2 = 4*i + 5*r + p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-9))\/((-3)\/(45\/(-5)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174\/4 - 1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 6\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 3*x**2 + 2. Suppose -1 - 3 = -2*q. Calculate g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -787, -786, -785?\n\"Answer: p - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 2*k**2 - 6*k + 8. Let q be u(-6). What are the prime factors of (-4 + 1)*470\/q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from fdfddddfdfffd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4\/(-1)*-3. Suppose 41 = 5*w + 4*l + 9, 0 = 4*w - 3*l - 7. Determine t so that w*t**3 - 8*t**2 + 65 - 65 - g*t = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74589 = 26*l - 74563 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37049461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*n + 48621 - 9158 = 1181*n - 449*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1818437360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242126025?\nAnswer: 3, 5, 19, 169913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*j + 5 - 18 = -2*j - 13 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797703073 to the power of 1\/3, to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 - 20*w**2 - 16*w + 2. Let h be j(4). Let f(n) = n. Let q(p) = 8*p + 4. Let m(s) = 5*f(s) - q(s). Let r be m(-3). Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72509854?\nAnswer: 2, 36254927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -191 + -14843161992.\nAnswer: -14843162183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.301556 to three dps.\nAnswer: -0.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/49? (a) -4\/3 (b) 2\/13 (c) -0.2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 212\/(-21)*(-30)\/80 - 248\/(-112). Let x = 3 - -9. Let q = 0 - -2. Solve -i*d - q*d = x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/8 - 549*i**2\/8 - 3105*i + 3174 = 0. Calculate i.\nAnswer: -92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3 - 3)*(-118*j + 31*j + 53*j) - 3*j**2 + j**3 + 3*j**2.\nAnswer: -67*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**2*y**3 - 15*j**2*y**2 + 4364*j - 2780*y**3 + 20*y wrt j?\nAnswer: 6*j*y**3 - 30*j*y**2 + 4364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 - 3*z**2 - 2*z - 2. Let f be s(-2). Suppose -4*j = 5*v - 52, -2 + f = 5*v. What is the least common multiple of j and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -10, 7, -1, -1\/2 in increasing order.\nAnswer: -10, -1, -1\/2, -3\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3285 = -1101*u + 444*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 61.443.\nAnswer: -60.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1562 - 1028. Suppose 3*f - k = 2376. What is f rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-7)\/j))\/j)**(-1)\/(j**(13\/2)\/(j*j\/((j*j**22*j)\/j))))**14 assuming j is positive.\nAnswer: j**(-497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 0 + 3 - o**2 - 2. Let t be d(2). Suppose 0 = 4*z, 3*b + 5*z - 2*z = 0. Solve t*c + b*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msmx when four letters picked without replacement from lxvmvllslmnssml?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 569066 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 65136*x - 1060674624.\nAnswer: -(x + 32568)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/3, -1736, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:42 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404 (base 5) in base 14?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c + 18*c**2 + 7*c - 5*c + 87*c**4 wrt c.\nAnswer: 2088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1042 divided by 137915.\nAnswer: 1042\/137915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Let j(d) = 3*d + 9. Let z(q) = -1. Let h(x) = 2*j(x) + 18*z(x). What is n(h(k))?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197688321*c**3 - 5190*c**2 + 249*c - 2 wrt c?\nAnswer: -1186129926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1039.845713?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q + 3. Let m(j) be the first derivative of 7*j**2\/2 + 46*j + 5. Let d be m(-7). Give n(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 52*x**2 + 4*x + 5. Let m(h) = -156*h**2 - 12*h - 15. Let l(k) = -6*m(k) - 17*u(k). What is the tens digit of l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 + 227. What is the nearest to -1 in d, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7805, 675, 9157, 17641?\nAnswer: 26127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16) + (-24459)\/124 + 78\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -64*x**3 - 4*x**2 + 4*x - 2. Let i(v) = 63*v**3 + 5*v**2 - 5*v + 1. What is 5*f(u) + 4*i(u)?\nAnswer: -68*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let i(b) = -484*b. Determine i(j(m)).\nAnswer: -484*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 353993 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/26980 and -25\/12.\nAnswer: 80940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38130, 76259, 114388, 152517, 190646?\nAnswer: 228775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*y = -177*y + 2*j - 1684771, -5*j = 5*y - 1684780. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/4*(-490)\/(-14700) - 11*(-1)\/40?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12247 - -9482. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5 - 14. Suppose -3 = k, -3 = -2*p + 3*p + x*k. What is the greatest common divisor of p and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/40 - 2951077\/120. Let n = j - -24572. Let u = -85\/4 - n. Calculate the common denominator of u and 97\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 21*q**2 - 21*q - 13. Give k(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 0.5269397.\nAnswer: 10.538794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223178 is divided by 457.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*u + 79*u - 3904 = 122*u - 47185 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:14 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 26*i**2 + 29*i - 670. Let k be w(26). Solve 0 = -14*c + 56 - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*u**2 - 7*u**4 + 24*u**4 + 3*u**2 wrt u?\nAnswer: 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9115.79mg?\nAnswer: 0.00000911579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 2*h**2 - h. Let c = 26 - 22. Let b(n) = 4*n**3 + 5*n**2 - 2*n. Give c*b(o) - 9*z(o).\nAnswer: -2*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 28 + 30 + 26 - 88 + 3*b**2 to d*b**2 + x*b + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15 - (-120)\/(-50). Let n be (-38)\/95*1\/2*x. Let n*v + 4\/5 - 2\/5*v**2 = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104630 - 202?\nAnswer: 104426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-15)\/(-12) + 4. Sort m, 2, 0, 8.\nAnswer: m, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1712 minus 314?\nAnswer: -314.1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 6*-1*sqrt(99))*-2)\/((sqrt(441) - sqrt(441)*3)*6 + sqrt(441)).\nAnswer: 2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 - q + 13. Let w be r(9). Suppose -u = 4*u - 10. Suppose 9 = -3*p - 0*p. Put u, p, w in decreasing order.\nAnswer: w, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 124 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-140)\/(-336)*(-8)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**2 - 2*s**2 + 2*s**2)*(-3*s + 1 - 1) + 4 - 4 - 2*s**3 + 2*s**3 - 3*s**3 - s**3)*(2 + 1 - 4).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + (38 - (-118 - -108)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6582297144 to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27295 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-105)*(-1)\/((-2)\/4). What is the nearest to 1 in y, 60, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2946 + -2.4946. Sort 16.96, 1, r, 1\/2, 2 in decreasing order.\nAnswer: 16.96, 2, 1, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-26352)\/(-2646) + -20)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6474 plus 1424?\nAnswer: 7898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 0 + -1 + -2. Let y be (1 - -4) + 0\/2. Suppose a*r + 2 = 4*q - 3, 4*r = 5*q - y. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*2)\/sqrt(7).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -102*q**2. Let j(p) = 215*p**2 + 7*p. What is j(v(t))?\nAnswer: 2236860*t**4 - 714*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(110) + 4*sqrt(110))\/sqrt(10).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2\/5*g**5 + 0*g**3 + 0*g**4 + 2 + 8*g + 0*g**2. Find the first derivative of q(c) wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414 divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 3*c - 2. Let g be f(-3). Let u be 3 + g + 2\/2. Does 4 divide (u\/(-5))\/((-2 - -1)\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 4500 = -11*k. Let r = 401 + k. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/5, 0.4, -645, 29, -4\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.630161 decades in years?\nAnswer: 56.30161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669815 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a factor of 384895548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/463 + 3253\/2778. Let p = -34730\/166391 - -48\/227. Let a = p - -12453\/2932. What is the common denominator of x and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0.1, -0.5, 0.054?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 69?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 1772. Let i be d(0). Let f = -802 + i. Round f to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3)*1*-93. Let z be 1*(-3 + 20\/6)*822. Let j = z + a. Calculate the greatest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q + 5*q - 7*q**2 + 3 + 8 - 3. Let j be u(-7). Calculate the greatest common divisor of j and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352048252.\nAnswer: 2, 683, 128861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1979 + -1592. Is a >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 187*o - 3176. Calculate z(-20).\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188946 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1513 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 4*a - 3*a + (a - 3*a + 3*a)*(-1 - 4 + 0) - 2*a + a - a - 3*a + 4*a - 2*a in the form o + i*a and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*s + 20, 0 = -3*s + 17151*h - 17144*h - 55 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-28)*(15\/6 - 1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -4\/7 (c) -11 (d) 40 (e) -0.2 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmahm. Give prob of picking 3 h and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-22))\/((1495\/(-46))\/65).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 108 = 5*b. Let r(q) = 51*q + 27. Let t = 12919 + -12923. Let j(u) = -4*u - 2. Calculate b*j(y) + t*r(y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.91 rounded to zero dps?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274\/5 - -2437\/40. Let z = r - 319\/56. Let t be -1 + 7\/4 - 2. Which is the nearest to 1\/2? (a) z (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 - 315*d + 900 = 0. What is d?\nAnswer: 3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 28 (c) 9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0 + 0*n**2 + 7*n + 1\/14*n**3 + 1\/28*n**4. Suppose o(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/32*((-36)\/14)\/3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 83. Let p(b) = b**3 + 8*b**2 - 9*b + 19. Let l be p(t). Let g = l + 21. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/90 - 5*t**4\/36 - 4*t**3\/9 + 14*t**2. Factor l(d).\nAnswer: -2*(d + 1)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1168.588856 to one dp.\nAnswer: 1168.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -21. Find the common denominator of (-58)\/3*18\/(-64) and 606\/8*w\/(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 6*t - t, -2*t = 5*l - 70. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22252?\nAnswer: 2, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 544 + -550. Let f(g) = 7*g**2 + 39*g - 15. Let q be f(u). Suppose 5*w - 100 = 4*z, -4*w + 6*z - 2*z + 84 = 0. Solve -o + w = q*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 2*s - 3*s)*(1 - 6 - 4*s + 5*s) in the form f*s**2 + d + l*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 45. Suppose 695 + 3568 = y*c. List the prime factors of c.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 3 - 8\/5*q - 6\/5*q**2 + 12\/5*q**3. Find u such that f(u) = 0.\nAnswer: -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4221 - 4218. Which is the nearest to -21? (a) 3\/2 (b) -0.13 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 322965931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*g - c, 2*g - 10 = g + 4*c. Suppose 2*w - 8 + g = 0. Put w, -3, 4 in descending order.\nAnswer: 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000509476 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 2*d - 5. Give s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-3)*(-90)\/8. Let r = 25 + c. Let n = -16 + r. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/10*8\/1020*(-18)\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*i + 81*i + 85*i + 85*i - 894*i + 567*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2 (c) -0.26 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**(-4\/7)\/(j*j**4*j*(j\/(j*j**(2\/9)\/j))\/j*j*j) assuming j is positive.\nAnswer: j**(-562\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6*w - 3*w - 876299 = 0, 5*u + 5*w = 876295. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 132*l**2 - 224*l + 2. Calculate z(2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 863488843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - 5*c**2 + c**2)*(21*c**3 - 9*c**3 - 6*c**3 + 67*c**3).\nAnswer: 219*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 39825*x**2 + 19936*x**2 + 19957*x**2 to o + b*x**2 + m*x and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q**3 - 4*q**2. Let b(y) = y**3 + y**2. Give -2*b(w) - i(w).\nAnswer: 22*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -3.8. Let j be (-4)\/112 + (-1)\/4. Let f = -30 + 34. Sort v, j, f.\nAnswer: v, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -15*s. Solve 14 = 3*a - 3*i + 2*i, -3*a - 5*i + 20 = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31975\/6 - 5343. Find the common denominator of 53\/3 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.261974266 rounded to three dps?\nAnswer: -0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from wyciwkyckkcc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006272437 rounded to 6 dps?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3618, -3616, -3614, -3612?\nAnswer: -3610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 60495960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 281132?\nAnswer: -281133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 563\/2 - 281. Which is the closest to 8? (a) 2 (b) n (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42002 (base 7) to base 13.\nAnswer: 48b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199477.\nAnswer: 43, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12100050 - 25?\nAnswer: 12100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 24 = -0*f + f, 48 = -2*f - 2*j. Let o(k) = -k**2 - 3*k - 6. Let t be o(-4). Let n = t - f. What is the greatest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10*105\/126. Let v = 66 - 65.83. Which is the closest to s? (a) v (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111010101010101010 (base 2) to base 9.\nAnswer: 2374002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let b(u) be the second derivative of -1 + 1\/12*u**4 - 1\/2*u**3 + 0*u**2 - 14*u. What is a(b(q))?\nAnswer: q**4 - 6*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264 + 124. Let s = -704\/5 - o. Let y = -11.4 - -12.4. Is y at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*b)*(-4*b**2 - 2*b**2 + 4*b**2) + 0*b**3 - 2*b**3 + 3*b**3)*(-20*b**2 + 4*b**2 + 3*b**2).\nAnswer: 39*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -126*h - 120. What are the prime factors of i(-11)?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + w. Let s(z) be the second derivative of -3*z**5\/10 + 5*z**3\/2 - 335*z. Give -5*m(y) + s(y).\nAnswer: -y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*b + 15 = 0, -322*j + 319*j + b = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -3292479.\nAnswer: -8\/1097493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(176) + sqrt(11)) + sqrt(45))\/sqrt(9)*-1 + -4.\nAnswer: -4 - 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.144 + -76.836. Let x = -1.26 + -82.74. Let u = x - c. Round u to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**13)\/(o**(2\/43)\/o*o)*(o*o\/(((o\/(o\/(o*o\/(o\/o**(-2\/27)))*o))\/o)\/o)*o)\/((o*o*o**1)\/o) assuming o is positive.\nAnswer: o**(19769\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(352\/180) - 6) + (-23)\/24?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -75. Let d = s - -53. Let z be 2\/(-4) - (-91)\/2. What is the highest common factor of z and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 25 - 20 = 0. Let o be 1\/(-2) + (-15)\/(-6). Solve -p - o = -h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/16810995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**4 + g**3 + g**2. Let h(l) = 41*l**4 - 6*l**3 - 6*l**2 - 16. Let f(x) = h(x) + 6*s(x). Differentiate f(v) wrt v.\nAnswer: 188*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r + 5 = 4*w, 0 = -2*w - 4*r + 8. Let g(j) be the first derivative of -1\/2*j**4 + 0*j**2 - w + 2\/3*j**3 + 0*j. Factor g(l).\nAnswer: -2*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -12*(2 + 2). Let z = 22 - a. Round z to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (2*sqrt(605) + -1 - sqrt(605))) + (sqrt(605) - (-5*sqrt(605)*-1)**2) - (-2*sqrt(2450))\/(sqrt(250) - (2*sqrt(250) + sqrt(250))).\nAnswer: -15124 + 48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 16 = -39. Let l = k - -85. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in minutes?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b - 4*w - 46 = 0, 3*w - 96 = -5*b. What is the least common multiple of 6 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 12*u**2 + 2*u - 14. Let i be w(12). Suppose -9*t = -i*t. Sort 2, -3, t, -5 in increasing order.\nAnswer: -5, -3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1442\/(-618)*12\/10?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + 0 + -5176 + 5197?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.52 - -4.52. Let g = 0.5 - 0.6. What is the nearest to 0 in g, r, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 145. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -551 - -555. Suppose r - 28 = -12*g. Solve 0 = -g*x - 2*f - 4, -x + 2*x + 12 = 4*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Let c(j) = 7*j - j + 2*j + 6. Let k be 9\/((-54)\/40) + (-14)\/(-21). Let a(n) = k*g(n) + c(n). Let t(q) = 5*q**2. Determine t(a(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3657*o - 3693*o - 900 = 3695*o - 11090*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 184, 185, 176, 157, 128?\n\"Answer: -5*x**2 + 16*x + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 29. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.12701484 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010010111 (base 2) in base 5?\nAnswer: 113442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(432) + -2)**2 + -5.\nAnswer: -504*sqrt(3) + 1438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3\/6 + 13*j**2\/2 + 19*j\/3 = 0.\nAnswer: -38, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -1349*s**4\/8 + 1014*s**3 + 558*s**2 + 3. What is the derivative of k(g) wrt g?\nAnswer: -4047","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 24*d**2 + 933*d - 17681. Calculate r(14).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-15) - 12\/90.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 + 17*n + 19. Let v be m(-4). Put 0, v, 3 in increasing order.\nAnswer: 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*l - 3*j, 3*j + 58 = 4*l - 21. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1465320 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = 2. Let w be (-58)\/(-18) + (-2)\/q. Suppose 0 = -w*d + 4*v + 18, 4*d - 3*v - 30 = -d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iirwpcr. What is prob of sequence wwpr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 71 + 31 = -2*y, -2*y - 414 = 4*c. Let m be (-4)\/(-18) + 983\/(-9). Let s = c - m. Is 45\/7 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 11 + 44 = -t - 8, -30*t - 554 = 196 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -1565687.\nAnswer: -33\/1565687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(81\/180*-4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 8*c**2 - 6*c. Let u be a(4). Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, -2\/2307, -2, -1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l**2 - 33*l - 21. What is t(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3422, 6826, 10216, 13586, 16930?\nAnswer: 20242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 6. What is the remainder when 1*(2 + 13 - 0) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -30f?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 - 6*x + 113. Let u(l) = 6*l**2 + 5*l - 113. Calculate 6*u(w) + 5*v(w).\nAnswer: w**2 - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232865.\nAnswer: 3, 5, 27397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.4 (c) 0.4 (d) 0.2 (e) -4\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11223)\/602)\/(-87) - (-2)\/(-4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*k + 20 = 0, -2*n + 2*k + 22 = -7*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 - 16*n - 12. Let g(x) = x + 1. Let w(j) = f(j) + 4*g(j). Suppose w(z) = 0. Calculate z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. Let q be 11\/1 - (0 + c). What is the tens digit of (-4 - -3) + q + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*n - 8, 9*n - 5*n - 68 = -21*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*y + 131*y + 47*y)*(4 + 4 - 4) + (-3 - 3 + 5)*(0*y + y + y).\nAnswer: 630*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 + -113220?\nAnswer: -113040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/2043 - -90563\/4086. Find the common denominator of q and (28\/220)\/((-6)\/(-45)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1224\/84611 - -2\/401. Let w = -416\/633 + x. Let a be 1 - (-61)\/(-20) - -2. Sort -0.2, a, w.\nAnswer: w, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/((-56)\/(-400)))\/(2 + -4). Which is smaller: t or -189\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 4. Suppose -3*v = 2*a - 3, 4*a - 7 = a - 2*v. Let z = a - 9. Give m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12174 and -24.6?\nAnswer: -299480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-3)\/(6\/2)). Let x be (0 - -1 - 2)*u. Let k(b) = -2*b**2 - 5*b - 2. What is k(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3 + 85*w**2 - 230*w - 760 = 0.\nAnswer: -19, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (2*sqrt(1008))**2*3)*1*1 + 1.\nAnswer: 36298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u - u)*(-42 + 14*u + 42) + (0*u**2 - 3*u**2 + u**2)*(0 + 1 + 0) - 2 - 2*u**2 + 2.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.08 - -4. Let g = 0 + b. Let x = g - 0.12. Put 1\/6, x, -3 in ascending order.\nAnswer: -3, x, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ojttoug.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 5. Let m be (-6 - -7)*(-6)\/2. Let d be k(m). Suppose 0 = -0*v - d*v + 508. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f - 12. Calculate the remainder when 23 is divided by a(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazaaa. Give prob of sequence aaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/9 >= -8720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3917.\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1575547897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 625 or 272104?\nAnswer: 625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 625\/6 and 104 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375714375 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -673.0232 + 673. Let i = -0.1032 - o. Is -15 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (2 - (-56)\/(-12)). Let f be -4 + 5 - 11\/13. What is the third biggest value in f, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2. Let i(a) be the third derivative of -a**4\/8 - 3*a**3\/2 + 28*a**2. Let z(d) = d. Let p(h) = -i(h) - 4*z(h). Give 2*p(y) + 9*v(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 131146.8 nanometers in millimeters?\nAnswer: 0.1311468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (0 - 8 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/36)\/((-10)\/(-8565)). Let f be (-1)\/1 + 3 - 194. Let h = f + z. Which is the nearest to -1? (a) h (b) -2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 53*m**2 - 112*m - 139. Determine x(29).\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 8. Let r = 3\/58 + -73\/290. Which is the second biggest value? (a) 0.1 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*f + 2683 = 0, y + 4480 = 6*y - 5*f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 4576 = -15*u - 153*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 446 + -518. Let r be (90\/(-54))\/(-2*(-2)\/k). What is the highest common divisor of 40 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 506237.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 663 - -2876?\nAnswer: 3650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7101, -12, -2, -1.\nAnswer: -7101, -12, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.43 - 0.89. Let r = 0.06 + d. What is r rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*v - 12 = 0, 3*q + 97*v - 102*v = -6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 1. Suppose 10 = -2*h - 4*b + 30, 5*h - 98 = 2*b. Let c = h - y. Solve 0 = 3*d + p - 2*p + c, 3*d + p - 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 15*n + 36. Let y be t(3). Suppose y = 5*b + 2*b - 189. What is the highest common factor of 297 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 + -72. Suppose 8*h - b*h - 174 = 0. Differentiate -29*s**2 - h - 28*s**2 + 53*s**2 wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(sqrt(832)*1)**2 + 5) + (-2*(sqrt(832) + -1)**2 + (-1*sqrt(832) + sqrt(832) + 0)**2)*2)*5.\nAnswer: -4105 + 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -124.8 (b) -0.11 (c) -0.4408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + -37. Sort -0.1, h, 0.2.\nAnswer: h, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 3*p - 88, -264 = 26*p - 810 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 21. Let c be (-4)\/2 - (1 + 1). Let x(h) = h + 5. What is the remainder when t is divided by x(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)*q)\/(q\/q**(-2\/7)*q)*q\/q**1*q*q**1*q*q)\/((q**(-4\/5)*q**(1\/4))\/(q**(-2)*q*q\/q**(4\/5))) assuming q is positive.\nAnswer: q**(61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 440d06?\nAnswer: 440d0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 17*z + 14. Let g(u) = 6*u + 5. Give 8*g(i) - 3*v(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/4, -0.12, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 8425064*w.\nAnswer: -2*w*(w + 4212532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 961977 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624479827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(32)*-5) + 2 + 4)**2.\nAnswer: -3*sqrt(5)\/5 + 2881\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) - sqrt(40) - sqrt(40))*-2 + (sqrt(40) - sqrt(200)\/sqrt(5))*-4)\/((sqrt(1152) + sqrt(1152)*3 + sqrt(1152))*-4).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15553 - 4*o + 55033 + 0*o + 9*o.\nAnswer: 5*o + 39480","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-4) - (-3 + 4))*12. What are the prime factors of (-636)\/f - -4 - 2\/3?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -22.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 0*i - 2*i)*(2 + 3 - 3 + 6 - 3 - 1 + (0 - 1 + 0)*(-2 + 0 + 4)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 112376?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**2\/2 - t - 472. Let o = -1 + 5. Suppose -5*c + 2*p = p - 3, -o*p - 12 = 0. What is f(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(17) + 2).\nAnswer: 10 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**2 - 27*c - 43*c**2 - 26*c - 15*c**2.\nAnswer: -77*c**2 - 53*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174636 is divided by 58196?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 13200498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(-1\/6)))**(-3) assuming c is positive.\nAnswer: c**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43323, -345964, -1167407, -2767050, -5404291, -9338528, -14829159, -22135582?\n\"Answer: -43233*o**3 - 3*o**2 - o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1539))*-3 + ((sqrt(1539) + -1)*-2 - sqrt(1539)))*-6)**2.\nAnswer: -7776*sqrt(19) + 1994688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94818 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, 4, 2, 16 in ascending order.\nAnswer: 2, 4, 16, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/5 or 5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i = -71*i + 21006. Let n = 89857\/77 - i. Which is the closest to -1? (a) n (b) 3 (c) -3\/8 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19296 rounded to the nearest 100?\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 + -1.17.\nAnswer: 194.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 93*r**2 - 672*r - 768.\nAnswer: -3*(r - 16)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12577706.\nAnswer: 2, 29, 37, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/120 + 19*k**4\/24 + 5*k**3 + 8*k**2 + 121*k. Factor w(t).\nAnswer: -(t - 5)*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**2 - 1915*z - 173900 = 0.\nAnswer: -235, -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 4*i**2 - 16*i - 30. Does 10 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 l when three letters picked without replacement from {l: 1, z: 1, v: 5, g: 2, x: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 892868.3 tonnes?\nAnswer: 892868300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p - 134. Let z be r(0). Let v = 1476\/11 + z. Let h = -1 + -3. Which is the nearest to 0.1? (a) -1 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/49576 and 37\/3073712?\nAnswer: 3073712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/4 - -1) + 27. Let z = 26 - t. Suppose 42 = y + 2*d, -y + z*d + 62 = -3*d. 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: 209*((-6431)\/(-649) + -10)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*h - 416 = -3*h, -h = 2*a - 275. Suppose 5*d + a = -5*l + 1057, 9 = 3*l. What is the remainder when d is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148.77701 - -0.15999. Let u = 224 - 373. Let l = u + b. Round l to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**4 - 71*g**3\/3 + 35*g**2. What is the remainder when 63 is divided by j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/6)\/((-30)\/8))\/((-61)\/61).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + w + w, -2*g = w + 1. Put -5, 1, 10, g in increasing order.\nAnswer: -5, g, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1027, 1022, 1007, 976, 923, 842, 727?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 144. Is 2 a factor of (u\/20)\/(6\/(-100)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -48. Let k = 13 - z. Let d = 17.42 + k. Round d to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**4 - 1076*x**5 + 1066*x**5 - 19*x**4 + (6*x - 8*x + x)*(2*x**4 + x - x).\nAnswer: -12*x**5 - 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**2\/2 - 5*v - 1. Let h(n) = -124*n - 124*n + 242*n - 11. What is 13*d(m) - 6*h(m)?\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8)*1904\/(-140). Is -0.04 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 40 - 74 = 0. Let r be 3\/6 - n\/6. Calculate the greatest common divisor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and -1*18\/12 + (-44)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 10 + 1 + 11*u**3 - 15*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-45))\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 259 and -610.12.\nAnswer: -158021.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 22\/(-18) - 0. Suppose -5*m = 2*c - 16, 0 = 11*m - 13*m + 5*c - 11. Suppose -5*r + 11 = 1, 0 = m*j + 3*r - 8. What is the smallest value in j, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/25 - 2\/5. Let p(m) = m**2 + 4*m - 4. Let y be p(-5). What is the nearest to f in y, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3142345019, 3142345019, 3142345029, 3142345055, 3142345103, 3142345179, 3142345289?\nAnswer: 3142345439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 + 2*j**4 - 3*j**4 + (6 - 12*j + 18*j - 3)*((-j**2 + j**2 + 2*j**2)*(3 - 3 - j) + 3*j**3 - 3*j**3 - 2*j**3).\nAnswer: -30*j**4 - 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 6) to base 15\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-28*j**3 - j**2 + 2381*j - 2381*j)*(4 - 3*j - 4) to l*j + v*j**2 + s*j**4 + m + p*j**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l + b - 83, 2*l + 2*b - 74 = 0. Suppose -l = -s + 7*s. Let w = s + 19. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12184977?\nAnswer: 3, 7, 82891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428331814 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, k: 6, q: 1}. What is prob of sequence kqk?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5 - 21*g**4 - 9*g**3 + 177*g**2 + 312*g + 144 = 0?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711.5475kg to tonnes.\nAnswer: 0.7115475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 + -4 - (-13 + 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(181\/1267 - 8\/14) + -12\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(2\/91))*h**(-17)\/h*(h*h**(-7))**(-6))**(4\/15) assuming h is positive.\nAnswer: h**(1312\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*r - 2548 - 48 = -654*r + 1318*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b23a5 (base 13) in base 3?\nAnswer: -121012212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 5*w**2 - w - 5. Let o be g(-5). Let d be ((-68)\/20 - -4)*55. Let p be 19\/d + 10\/(-15). Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z + 1. Calculate o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -986, 20 in ascending order.\nAnswer: -986, 19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/3)\/(15 - (-39969)\/(-2664)). Calculate the highest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 733 and 87927748?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:44 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*(4\/150)\/((-12)\/(-18))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k\/(k\/(k\/(k**(-4)*k*k))))**(3\/19) assuming k is positive.\nAnswer: k**(24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(6*sqrt(32)) + sqrt(304) + 2 + -5)**2*2.\nAnswer: -97*sqrt(19)\/2 + 183955\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6202*d - 49614. Let a be x(8). Suppose 1 = 2*j - 7. Solve -b - 6 = -j*k, -4*b = a*k - k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770 + 2328 - 782 - 3*b - 776.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w**2 + 183*w - 608. What is a(5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(3\/2)\/b)\/b**8)**(-25))**(4\/7) assuming b is positive.\nAnswer: b**(750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 2*u - 2. Let i(c) = -c + 8. Let d be i(0). Let p(q) = -3*q**2 + 3*q + 3. What is d*o(t) + 5*p(t)?\nAnswer: t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**4 + 2*p**2 - p**4 - 3*p**4 - 49*p**3 - 17*p + 4*p - 3*p**2 in the form x*p**4 + f + n*p + r*p**2 + o*p**3 and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 17*u + 8. Determine f(4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*r**2 + 1347*r**2 - 658*r**2.\nAnswer: 79*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 19*d + 8. Let h be w(10). Let f be 6\/((-1)\/(h\/(-4))). Sort -2, -9, f in ascending order.\nAnswer: -9, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3700 - -3727 - (-4 + 2 + -2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 867, -231, -1329, -2427, -3525?\n\"Answer: -1098*z + 1965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -187 + 31*h - 55 - 14*h + (0 + 3 - 4)*(1 - 1 - 2*h).\nAnswer: 19*h - 242","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86946 (base 12) to base 2.\nAnswer: 101011010111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17576659129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 11:51 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d + 4\/3 - 1\/3*d**2.\nAnswer: -(d - 4)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s**4 - 7*s**3 - 3*s + 7. Let j(d) = -10*d**4 + 5*d**3 + 2*d - 5. Let f(l) = 7*j(l) + 5*q(l). Find the second derivative of f(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6262485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 2. Let k(a) = -9*a - 5. Let l(o) = 3*o**2 - 3*o - 1. Let m be l(2). Suppose -2*f + 0*f - 2*y = 22, -f = m*y + 27. What is f*h(u) - 3*k(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9260 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a - 3 - 12*a + 2*a**2 - 2 in the form t*a**2 + v + z*a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:34 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029690.56 rounded to the nearest 10000?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1176, 1864, 3010, 4614, 6676, 9196, 12174?\n\"Answer: 229*k**2 + k + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7*o - 11. Let n(z) = z**2 - z. Let u(j) = g(j) + 2*n(j). Let l be u(11). Suppose 3*w = -l + 281. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-3 + 9)\/(-2). Suppose x = s + s - 4. Let y(v) = 17*v**2 - 4*v + 13. Let p(w) = -8*w**2 + 2*w - 6. Let f(a) = -13*p(a) - 6*y(a). Calculate f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*a = -w + 9, -18 = -w + 5*a. Suppose 2*i = -4*s, i + 3*i = w*s. Suppose i = -y - 2*y + 42. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/5 + 73*z\/5 + 356\/5.\nAnswer: -(z + 4)*(4*z - 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/2 + (-22176)\/(-504)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3477 is divided by 869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620338 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41613028 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174010\/(-6)*(-25 + (-1952)\/(-80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*w**2 + 112*w**2 - w**4 - 3*w - 2*w**5 + 5*w**3 + 0*w**5 - 4*w**4 = 0. What is w?\nAnswer: -3, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 + -11 + (-1 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19945 and 935?\nAnswer: 3729715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.13 (b) -0.2 (c) -4 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2 + g**3 + 7*g - 2 - 2*g**4 in the form x + j*g**4 + y*g**3 + m*g + w*g**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11618 (base 9) in base 8?\nAnswer: -17161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461884 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00696497642 rounded to 5 dps?\nAnswer: -0.00696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*u - 16, -6 = 3*c - 2*c - 2*u. Solve 5*y + 3*b = -37, -y + 0*b + 3 = -c*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 44.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 13 = -5*c - 5*l, -6 = 252*c - 250*c - 0*l - 3*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1007*s**3 + s**2 + 110*s - 19477 wrt s?\nAnswer: 3021*s**2 + 2*s + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 15*m + 64. Calculate t(19).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 13) in base 11?\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -421, 148, -8.\nAnswer: -421, -8, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 78043 = -74245 + 22378. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 - (5 - 1) - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 1057 + 181 - 814. What is the greatest common factor of 1220 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -186*n + 199 + 297. Solve b + 16 - 6 = 3*x, -n*b - 5*x = 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + z + 6, 0 = -4*i - 5*z - 14 + 8. Let p be (10 + -6)\/((-1)\/(-8)). Which is the nearest to i? (a) p (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -17*c + 18*c - 8, 10 = 2*c - v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {r: 8, u: 3, v: 2, c: 6}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 5041 - 2545 = 2377 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -1\/30*r**4 + 1\/5*r**3 + 0 + 0*r**2 - 33*r. Factor g(t).\nAnswer: -2*t*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**3 + 4 - 25*t**3 - 4*t**2 - 1.\nAnswer: -68*t**3 - 4*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -56*k + 1664. Determine f(28).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/3, -0.5, 0, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 - -166. What is the biggest value in j, 2\/23, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 9 = -0*r + r, 2127*q - 2126*q = -4*r - 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(1 - -1) - (-25)\/(-5). Solve 6*m - z = -41 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*3*(-4)\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*2.2635.\nAnswer: -22.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67882\/9 - -1271452\/171. Let g = t - -107. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*(-2)\/5)\/(16\/40). Let -6\/5*w**l - 2*w + 2*w**3 + 8\/5*w**4 - 2\/5 = 0. What is w?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/2 - 158859*h\/2 - 158865.\nAnswer: 3*(h - 52955)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0413 - -7.0413. Which is the nearest to l? (a) 6 (b) -0.5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -484, -802, -1106, -1390, -1648, -1874, -2062?\n\"Answer: p**3 + p**2 - 328*p - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 5:03 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -5*m**4\/4 + m**3\/3 - m**2 + m + 2. Let b be d(1). Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, y: 2}. Give prob of sequence aaya.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/211 != -351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does -2763745 = -2763747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4569869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -2)*5\/3 + -602*96\/11592?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 191, 508, 955, 1538, 2263?\nAnswer: 3136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01431019885 rounded to six dps?\nAnswer: 0.01431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-612) - 18\/54?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3777*r**2 - 45326*r - 24.\nAnswer: -(r + 12)*(3777*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 11*k**2 + 108*k - 88. Give o(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((12\/(-32))\/3). Let x(l) = 2*l**2 - 2*l - 1. Let h be x(-1). Suppose -h*w + 5*w = y. Solve w*g + 3*f + 29 = 0, -3*f = -3*g + 2*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*o**2\/5 - 3*o + 1\/5.\nAnswer: (o - 1)*(14*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5368 - 1\/(-2)*-6. Let b = p + -64499\/12. Let z = -38869 + 1399375\/36. What is the common denominator of z and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248947.\nAnswer: 7, 67, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10299, 10301, 10303, 10305?\n\"Answer: 2*f + 10297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 0*h. Let v be (2 - -1)*2\/h. Find the second derivative of 0 + s + 0 + v*s**2 wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 1231?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -5. Suppose 0 = -o - o - k. Let a = o + 11. Solve -16 = a*s + 4*b, -2*s - 7 - 5 = -4*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 20\/129 (b) 24\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = w - 552, -5*w + 2788 = -6*y + 3*y. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 299 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 24*b**4 + 2*b**3 - 8*b**5 - 16*b**4 - 4*b**3 = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725 = 200*h - 28*h - 2715 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -160*l + 4\/3*l**3 + 0 + 0*l**2 + 1\/84*l**7 + 3\/5*l**5 - 2\/15*l**6 - 4\/3*l**4. Find j such that o(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3236745926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4292921 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 - 2*r + 12. Give n(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (153*g - 74*g - 111*g)*(-28*g**3 + 2*g**2 + 12*g**3 - 42*g**3) to z*g**2 + l*g**4 + b*g + f*g**3 + q and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d0bc6 (base 14) to base 9.\nAnswer: -844226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.860159 millimeters to nanometers.\nAnswer: 7860159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/12 + p**3 - 67*p**2\/2 - 209*p\/3 - 4830. Factor c(g).\nAnswer: (g - 11)*(g + 1)*(g + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49033635 to the power of 1\/2, to the nearest integer?\nAnswer: 7002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/(-22)*18\/(-15) and ((-86)\/22)\/(12 - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40351, -52414, -64477, -76540?\n\"Answer: -12063*s - 28288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 188125?\nAnswer: -188128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 0*n - 19 + 1\/2*n**2. What is the units digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 23*p**2 + 20 - 2*p**2 + 17*p. Let x(d) = -7*d**2 - 6*d - 7. Let c be ((-20)\/2 + 9)\/(2\/34). Determine c*x(l) - 6*h(l).\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13145520 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f + 62*f + 40 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (11 - -28) + 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (3*((2*sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152)))\/(sqrt(24)\/(sqrt(3) + sqrt(3)*-4)))**2.\nAnswer: -6192 - 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -33\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 11395 = 2*u + 11315, -u = w - 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1930 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(2442\/((-1517)\/41)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 401532 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/503024 or -1?\nAnswer: 1\/503024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1245 + 4131. What is the highest common divisor of 84 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 36, 66, 104, 150?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5.2165 - -86474\nAnswer: 86468.7835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*x + 115 = -132*x + 3*n, 2*x - n - 46 = 0. Calculate the remainder when (1 + -4)\/((-1)\/57) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991 is divided by 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/9))\/(c\/(c\/c**(1\/13))*c))\/(c*(c*c\/(c*c*c**(-8)*c)*c)\/c*c\/(c*c**2)*c) assuming c is positive.\nAnswer: c**(-802\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1000 and 9600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuov when four letters picked without replacement from ojvojuvjuuoov?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 6. Let z be r(4). Let i(s) = -s**3 - s**2 - s - 2. Determine i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2 = b + 16, -5*y + 4*b = -11. Suppose 0 = 3*j - 3*u - 12, 12 + 8 = y*j + u. Let k = 61 + j. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(288) + sqrt(288) + 2.\nAnswer: 2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -n + 23200003, 2 + 7 = 3*n. What is y rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/7, -1, 5, -639, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 149*a - 3740. Determine r(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfjfm. Give prob of picking 1 j and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/5)*b*b)**(-17)\/(b\/((b\/(b\/b**(-2)))\/b))**35 assuming b is positive.\nAnswer: b**(-904\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189 - 129. Suppose -4*t - d = 4*h, -2*h + 0*t - 23 = -5*t. Is ((-7)\/h)\/(1\/22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2 + 0)*(-8)\/(-4). Let y be (-2 - -12*1)\/f. Put 3, y, 2 in increasing order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*c**2 - 2 + c**2 in the form j*c + a*c**2 + z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 41 = x. Let z = x - 39. What is the third derivative of -10*o**z + 2*o**5 - 8*o**2 + 14*o**5 wrt o?\nAnswer: 960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.02 - 1.01. Sort 1, 3, d in descending order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486695605 a multiple of 5327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 2*u**2 + 4*u**2 + 3*u**2 + 3 - 3 + (-4*u + 2*u + 7*u)*(-2*u - 2*u + 2*u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-2 + 3 + 352\/40 + -5. Let c = -31 + 32. Put x, c, 2 in increasing order.\nAnswer: x, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/22*(-110)\/(-16*(-1)\/(-4))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.75 - 0.75. Let l(a) = 4*a + 1. Let z be l(1). Suppose 0 = 2*i + p + 4*p + 21, -i + z*p = -12. Put i, o, -4 in increasing order.\nAnswer: -4, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82215 - 1239018?\nAnswer: -1156803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/12 - 4*t**3\/3 + 7*t**2\/2 - t. Let k = -78 - -84. Calculate y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0*q - q + 6*q. Let y(x) be the second derivative of -1\/3*x**4 + 3 + 0*x**2 + 8*x + 0*x**3. Give b(y(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*q**2*v - 34296895*l*v**3 + 3*q**2*v**3 - 8*q**2*v**2 + q**2 + 2638*q wrt l.\nAnswer: -q**2*v - 34296895*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*-5*sqrt(63) - sqrt(63)))\/(-1*(sqrt(9) + sqrt(900)*-1)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232482 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 42 + (1 - (7 + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 373843918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3864 and 5520.\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.56401 - -3.7642. Let i = -1.2 + a. Round i to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0)\/v)\/v)**(-8)\/(v\/v**(2\/5))**(-13\/5) assuming v is positive.\nAnswer: v**(239\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155158?\nAnswer: 2, 23, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -50.3 times 3.66\nAnswer: -184.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*f - 44*f + 40 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*y = 2, -2*p + 0*p + 5*y = 11. Let f = p - 5. Suppose 6*l = 2*l + 20. Put f, l, -1 in descending order.\nAnswer: l, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45050 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887036043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6576415634*r**2 + 6576415634*r**2 + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from hhyyyyhyyyhh?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseezzzeiseesezziee. What is prob of picking 1 e and 1 z?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/4127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 216, 546, 1184, 2232, 3792, 5966, 8856?\nAnswer: 12564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -10. Suppose r = 4*l + 2. Let g(s) = -8*s**3 - s**2. Determine g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -41 (b) 1 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-8)*328\/(-12)*3. Suppose 7*u - 4*u = -9, 0 = -2*s - 5*u + w. What is the remainder when 340 is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148031 is divided by 514.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 21. Find the first derivative of 0 + 7 + 6*k**2 - h*k**2 + 0*k**2 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8611 (base 16) in base 3?\nAnswer: -1202002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200972 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 the tens digit of 4649238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -738\/7 + 106. Let b = 45 - 44. What is the closest to b in j, -3\/8, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:53 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 10*g - 14. Let y be l(11). Suppose 21*r - 15*r + 24 = 0. Sort 2, r, y in descending order.\nAnswer: 2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-1*sqrt(847)).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (-4)\/4*3. Suppose -4*z - 5*q = -3, j*q + 15 = -0*q. Find the third derivative of z*o**6 - 2*o**6 + 2*o**2 - o**4 + o**4 wrt o.\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 + 39417670*s + 388438177057225 = 0.\nAnswer: -19708835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 7:04 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 368 (b) -3\/7 (c) 2.9 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -402*h**3 - 8*h**2 - 4*h + 6. Let g(z) = 5*z**3 + 2*z**2 + z. Give 4*g(m) + o(m).\nAnswer: -382*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 463767 and 463768 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**3\/3 + 3*y**2\/2 + 6*y + 20. What is the least common multiple of 8 and l(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8976375379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5344*u**3 - 33551*u**2 + 505266990*u?\nAnswer: -32064*u - 67102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + 3 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/5)*t\/(t\/t**21))\/(t\/t**(-15))**(11\/5))**(-1\/17) assuming t is positive.\nAnswer: t**(77\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 257.35 + 4.\nAnswer: 261.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137\/3 - 45. Let v be 57\/(-9) + 7 - 1. Which is the closest to v? (a) q (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2240161 = 172*o - 776375. Is o a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 - 119. Sort v, -4, 9, -3 in ascending order.\nAnswer: -4, -3, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*p - 4*m, 0 = 7*p - 6*p + m + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20339 - -23396. Calculate the remainder when v is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10860, 20419, 29978?\n\"Answer: 9559*s + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*h + 15*h - 101*h - 56*h as c + w*h and give w.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 71 = -4*f - 13, -f - 9*s + 22 = -7*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 + 1286\/13. Let u = -1.93 + -0.07. Let j be -1 + -1 + -4 + 2. Put j, r, u in decreasing order.\nAnswer: r, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 340813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/150 + y**4\/10 - 3*y**3\/5 - 8*y**2. Find t, given that v(t) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - -bcbc?\nAnswer: bc94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 121. Suppose -543 = -t*y + 81. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3863+3877.6683195\nAnswer: 3878.0546195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -547039\/61640 - 2\/7705. Calculate the common denominator of (-2)\/(-4) - (51\/(-216) + 1) and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3901 + 0.0884.\nAnswer: -3900.9116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(0 + 2)*-2. Suppose -y*j + 16 = 0, -2*c + 84 = 2*c + 5*j. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 3\/5 (c) 3\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 788 or 14999\/19?\nAnswer: 14999\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(18) + -3 + 0 - (-2*sqrt(40))\/sqrt(5))*-5.\nAnswer: -35*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144579900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/822 and -11\/32803828.\nAnswer: 98411484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1741*d**5 - 5*d**4 - 1061*d**2 - 5*d - 15. Let h(j) = j**4 + j**2 + j + 3. Let k(q) = 5*h(q) + m(q). What is the third derivative of k(s) wrt s?\nAnswer: 104460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -2. Let u = -6 + k. Which is the closest to u? (a) -1\/3 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f - 6*f + 9*f - 26*f in the form d*f + z and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2832 - 2873 + 2777)*(-2*g**2 + 2*g**2 - 4*g**2).\nAnswer: -10944*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeee when four letters picked without replacement from akkokaeaarekek?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1988? (a) -59 (b) 3.7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*m**2 + 8\/13*m - 8\/13.\nAnswer: -2*(m - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 395*n**2 + 299*n?\nAnswer: 790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 3*s)*(s - s - s + (-3*s + 2*s + 7*s)*(1 - 3 + 4)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 9 = -89. Let p(c) = 3*c**2 - 1. Let v be p(1). Solve -5 - i = -v*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 74*j**2 - j + 1. Let w be p(-1). Suppose 4*y - 2*l - 42 = 0, -5*y + 10*y + 5*l - 15 = 0. Calculate the greatest common factor of w and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -22*d**2 - 64*d + 111. Give q(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*u + 23*u. Suppose u*d = -0*d - d. What are the prime factors of 1 - (d - 1) - (-11 + -13)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/12 + 2*y**3\/3 + 2*y**2 + 5*y. Let k be z(-9). Let w = k + -26. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-1185)\/(-7 - -2). Suppose -r - f + n - 10 = 0, 2*r = -5*f + 448. Suppose -y + r = 66. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58245\/8 - -7268. Find the common denominator of t and 59\/482.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -25. What is the biggest value in 0.1, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -1 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from cjc?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c - 80. Let n be s(7). Let b = 1 + -2. Let y(v) = v**3 + v**2 + v + 1. Let g(d) = 5*d**3 + 7*d**2 + 3*d + 4. Determine b*g(p) + n*y(p).\nAnswer: -p**3 - 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.10591635 from -11.\nAnswer: -10.89408365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*320\/100?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10243*f - 133158. Give a(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359202.8 days to microseconds.\nAnswer: 31035121920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 484*i**3\/5 - 7524*i**2\/5 - 56064*i\/5 + 937904\/5 = 0.\nAnswer: -11, 146\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 309 + -61826?\nAnswer: -61517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*k - 7880 = 316717. What are the prime factors of k?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 57821*n**2\/3 + 280494424*n - 54511958256.\nAnswer: (n - 28812)**2*(n - 197)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*n - 399 = 0, 2*n - 3*n - 285 = -3*l. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*w**2 + 3*w**4 + 25*w**3 + 4*w**4 + 15*w - 2*w**4 - 21*w**2.\nAnswer: 5*w*(w + 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 20. Let p = z + 13. Let w(m) = m**2 - 5*m + 6. Give w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/12*6\/(-30)*(-9 + 9). Let k be 4\/10*(4 + 1). Suppose 4*p - 5*p - 5*n - 20 = 0, k*n - 4 = 2*p. What is the second smallest value in 1\/4, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 550, 545, 534, 517, 494, 465?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*q + 3. Let h be 301\/35 - q\/10. Which is smaller: h or 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**29*f*f**(7\/8) assuming f is positive.\nAnswer: f**(247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 173*u**4 - 6*u**3 - 6*u**2 + 6*u + 114. Let v(p) = p**3 + p**2 - p - 1. Let t(z) = -m(z) - 6*v(z). Differentiate t(g) with respect to g.\nAnswer: -692*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5*t + 18 - 48, -5 = t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 8. Let q = 9 - 4. Let l be n(q). Suppose -3*j = -a - 72, -l*j = -j - 4*a - 48. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 97 + 163 = 0. Let x = 325\/9 - 260\/9. Calculate the common denominator of x and (0 - c)*(-1)\/(-11).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - 4*v)*(-2*v**2 + 2*v**2 - 2*v**2) + 4*v - 4*v + v**3 + (-v + 2*v - 3*v)*(4 - 4 + v**2).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272))**2 + 3 + -2 - (-4*sqrt(153)*-2)**2.\nAnswer: -9519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.1, -5\/52?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -84*p**3 - 500*p**2 + 1152*p + 368 = 0.\nAnswer: -23\/3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(416) - sqrt(416)*-3) + sqrt(416) - (sqrt(3744) + 1*sqrt(3744))))\/((-1*sqrt(36)\/sqrt(6))\/(sqrt(9)\/(-2*sqrt(3) - sqrt(3)))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 - q**2 - q + 4. Let l be g(-3). Let t = 340 + l. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -928.2 rounded to the nearest ten?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2311656480 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 44*i**4 + 2*i**3 - 2*i**3 - 50*i**4 with respect to i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s - 16*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 8:48 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 - 3*m - 1. Let u(a) = a**3 + 34*a**2 - 20*a - 5. Let q(g) = -5*n(g) + u(g). Factor q(d).\nAnswer: d*(d - 1)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14652*u + 14670*u = 53064. What are the prime factors of u?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -431 + 412.11. Let u = -18.890002358 - g. What is u rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 23780*y**3 + 71364*y**2 + 71372*y + 23792.\nAnswer: -4*(y - 5948)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 13) in base 12?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 5*m**2 + 3*m**2 + 3*m**2 + 12*m to s*m + x*m**2 + g and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -352\/2967 less than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p. Suppose -2*c - 10 = -p, -53 = -4*a + c. Solve 9 + 7 = 3*g + f, g = 4*f - a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and -83\/6328.\nAnswer: 31640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4) - sqrt(14)\/(sqrt(7)*-3))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508496.3l in millilitres?\nAnswer: 508496300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -49 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322, 618, 914, 1210?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-638.7\nAnswer: 319.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -329765299, -659530597, -989295897, -1319061199?\n\"Answer: -r**2 - 329765295*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 12*g**2 - 5*g - 565. What are the prime factors of a(-27)?\nAnswer: 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 + 36*g + 18. Let c be s(-14). Sort c, 5, -1\/2 in descending order.\nAnswer: c, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-4))\/(t**2\/t))\/((t\/((t*t*t**(4\/3))\/t))\/t**3))**(9\/4) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2666725 (base 10) in base 11?\nAnswer: -1561606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*p + 67, 37 = k + 5*p - 7*p. Put 2, k, -1 in ascending order.\nAnswer: -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -9.\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 - (-2 + 5 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 23*n - 80. Give l(-11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/19 + 668*r**3\/19 + 60258*r**2\/19 + 748160*r\/19 + 2508800\/19 = 0. Calculate r.\nAnswer: -160, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 226568317?\nAnswer: -1\/226568317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 898065 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = 625 - 770. Solve 3*h - 8 = 2*z, 8 = -3*h + x*h - 2*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u = -66*u + 550. Let z be 1*(-3)\/12 + u\/8. Which is smaller: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -4, -1127, -3 in increasing order.\nAnswer: -1127, -4, -3, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108882, 108880, 108878?\nAnswer: 108876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 12357500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 (base 8) in base 16?\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 400 = -4*f - 100, -2*v - 256 = 3*f. Are v and -112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/230)\/(1\/(-6)). Suppose 64 = -71852*r + 71856*r, 2*f + r - 16 = 0. Is n less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 3577592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6004981 is divided by 334?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -886 - 596*d**2 + 293*d**2 + 301*d**2 as n + b*d + f*d**2 and give n.\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4 (c) -3 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:10 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*j = 5, 3*h = j - 0*j - 25. Let q = 4 + h. Let r be (-1)\/(((-15)\/q)\/(-5)). Solve -c + 11 = r*n, -c - 3*n = 4*c - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -9*h**5\/4 - 91293*h**4 - 3706129821*h**3\/4 - 19744466121*h**2\/2 + 4011424665*h + 6787432146 = 0.\nAnswer: -20282, -11, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8738 and 5808.\nAnswer: -50750304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - (-34)\/8. Suppose -2*x = 4*q - r, -6 = q - 2*x - x. Let c be (-2)\/((-6)\/27*-3). Is q greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 - a - 6. What is q(3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = -q - 5, -5*r + q - 97 = 0. Suppose 0 = 2*l - 3*c + 69, 3*l - 6*c + 76 = -44. Which is bigger: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/4 - 136487*k\/2 - 818913\/4 = 0?\nAnswer: -272971, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/46 and -27\/22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, 49, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(-30)*12\/(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 32 = -2*z - g, -2*z + 49 = -g. Is 23 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.500885 take away 4.4289?\nAnswer: 424.071985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(20\/75)*(-1)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let n = -102 + 98. Put i, n, 0.2 in increasing order.\nAnswer: n, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 349 - 797 = -3*a, -5*a - 4*f + 751 = 0. Solve -2*z = 147 - a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 100 = 0. Calculate the greatest common divisor of 40 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768437247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*1\/1*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**2 + 0*d**4 - 4*d + 0*d**5 - 1\/2*d**3 + 0*d**6 + 0 - 5\/42*d**7. What is the second derivative of a(g) wrt g?\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k**2 + 9*k - 11. Let z(t) = 5*t**2 + 4*t - 5. Determine 6*h(y) - 13*z(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12 + 13 - 1 - 42*t**2. Let z(c) = -2*c**2 + 5. Let q(y) = -y**2 + 2. Let s(b) = -5*q(b) + 2*z(b). Calculate v(s(d)).\nAnswer: -42*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + 0.05. Let d = -15 + 16. What is the nearest to -1\/2 in q, d, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.8 * 20\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Suppose n*m + t + 122 = 0, 5*m + 0*m + 131 = 2*t. Let h = m + 37. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 11, 6, -1?\n\"Answer: -w**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 380.8 + -662. Let z = r - -281. Which is smaller: z or 36?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1\/22, 3, -0.03?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -4*o**3\/3 - 7*o**2 + o. Suppose 4*j - r = -4*r - 20, 5*r - 20 = 4*j. What is the tens digit of y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 6787150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1452, -5815, -13084, -23259, -36340?\n\"Answer: -1453*m**2 - 4*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 5*b - 7*b**2 + 316 - 9*b.\nAnswer: -7*b**2 + 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 - -22?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -690, -1048?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foff when four letters picked without replacement from offfofffofofff.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-255)*(-9)\/(-114). Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171))**2 + (sqrt(57)\/sqrt(3) + 3 + sqrt(19))**2 + (sqrt(133)\/(sqrt(70)\/(sqrt(10) + 2*sqrt(10) - sqrt(10))))**2.\nAnswer: 12*sqrt(19) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:46 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6653*v**2 + 8134*v**2 - 2227*v**2.\nAnswer: -746*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*(w**(2\/3)*w)\/w*w*w*w)**(-2\/31))**(-1\/4)\/(((w*(w\/((w*w*w\/((w\/w**(-1))\/w*w))\/w))\/w)\/w*w**(-3)*w)\/(w**(-3)*w**(-1\/5)*w)) assuming w is positive.\nAnswer: w**(-43\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iszksoisiiiki. Give prob of picking 1 k, 1 o, and 1 z.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -44*o - 433. What is f(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 19*q**4 - 75*q**3 + 203*q**2 + 560*q + 300 = 0. Calculate q.\nAnswer: -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 722\/3*m**2 + 76*m.\nAnswer: 2*(19*m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.67193 decades to centuries.\nAnswer: 9.967193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47923496 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2476\/15561 - 1\/819. Let k = i - -51\/38. What is the nearest to -2 in k, -3, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -1\/3, 25.89, -33, 0.3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1019267*r**4 - r**3 - 517821*r**2?\nAnswer: 24462408*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 879, 888, 897, 906, 915?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -89*t. Let q(o) = -o - 5*o + 3*o. Calculate q(c(h)).\nAnswer: 267*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 105. Let r = 49 - l. Solve 3*h - r = -5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 688693 and 134.\nAnswer: 1377386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66900207, -133800414, -200700619, -267600822?\nAnswer: -334501023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.8 - 26. Let p = h - -4.200136. What is p rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8685, -16421, -23185, -28971, -33773, -37585?\n\"Answer: d**3 + 480*d**2 - 9183*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-16)\/(-18))*2. Suppose m = -3*t - 0*t. Is (10\/t)\/((-8)\/132) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 846013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 352000 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 1. Let l be f(3). Let a(s) be the third derivative of s**5\/30 + s**4\/12 - s**3\/3 + 2*s**2 - 7*s. What are the prime factors of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 + 46*u\/11 + 84\/11.\nAnswer: 2*(u + 2)*(u + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, p: 4}. Give prob of picking 4 p.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -342e?\nAnswer: -342d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -7 + 46. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-20)*-5 - (-2 - 4). What is the greatest common factor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3 + 2442286*g**2 - 2442292*g - 4884576 = 0. What is g?\nAnswer: -1221144, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + sqrt(1300)*1 + ((-2 + sqrt(1300))*-3 - sqrt(1300)) - 1*(sqrt(1300)*-4 + -2))**2.\nAnswer: 100*sqrt(13) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 37481280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 - 4. Let l = 0.8 + 0.2. What is the nearest to l in x, 5, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2\/2 + 30*w + 15. Does 13 divide g(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, j: 2, a: 8, l: 1}. Give prob of sequence ab.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(931) + -1 + sqrt(931)) + sqrt(931) - sqrt(931) - -2*(sqrt(931) + 0 + sqrt(931)))*-2*-5)**2.\nAnswer: -22400*sqrt(19) + 5958800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 78\/25825?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 12, 6, -28, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2607 divide 274012293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 126513479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 286\/(-77)*(-42)\/120 and -55\/268.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2071397, 2071343, 2071253, 2071127, 2070965, 2070767?\n\"Answer: -18*n**2 + 2071415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.35 - 0.65. Let n = -134 + 98. Let h be 16\/(-36) + (-16)\/n. What is the nearest to 2 in -5\/6, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*t - 6. Let c = 503\/6 - 84. Is c not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(5*z - 3*z + 0*z)*((-2*z + 4*z + 11*z)*(-2*z + 2*z**2 + 2*z) + 3 - 3 + 2*z**3 + 3*z**3 + 0*z**3 + z**3).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 2. Let d = 4 - 0. Suppose 0 = -d*p - 27 - 5. Does 13 divide v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*h = 6*h + 15799, -3*g + 47369 = -2*h. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21 + -2.21. Is 0.04 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 71 - 40\/3*d**3 + 0*d - 2\/5*d**5 + 0*d**4 + 63\/2*d**2. Find the second derivative of t(j) wrt j.\nAnswer: -24*j**2 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121872.\nAnswer: 2, 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20564 and 32204.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6045782 and -1498727.2?\nAnswer: 4547054.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24280524 (base 9) to base 2\nAnswer: 101101010000001010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111442 (base 5) to base 13\nAnswer: -1a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*w + 32, -31*d + 38*d - 95 = 31*w + 17 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -12 + -18 + 18 + -13 + 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 9500003. Let g = 723070 - -1275031. Suppose k - 2*y - g + 98099 = 0, 0 = 5*k - 3*y - a. What is k rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11.9. Let f = -0.1 - 0.1. Suppose p - 49 + 52 = 0. What is the nearest to i in f, 5, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 12 = 243. Let d(u) = -4*u**3 - 27*u**2 + 5*u - 5. Give d(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16686677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 57 = 5*f. Suppose 2 = 4*a + f*z, -4*a = z - 4*z - 18. Solve 0*t - a*t = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00847523728 rounded to four dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6202 and 694.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 2, q: 2, j: 2, h: 1, p: 1}. Give prob of sequence hqtj.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:53 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619122575?\nAnswer: 5, 17, 1456759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -45227, 5, -1 in decreasing order.\nAnswer: 5, -1, -45227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 6. Let a(g) = g**2 + 6*g - 45. Let f be a(-10). Let u(m) = -3*m + 11. Determine f*v(t) + 2*u(t).\nAnswer: -t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/679167 - -32312728375\/5433336. Suppose -5*k - 29790 = -0*k. Let j = m + k. Find the common denominator of 67\/12 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268888.\nAnswer: 2, 19, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223639 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71418*a + 11 - 7 - 9.\nAnswer: 71418*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) -111.17 (c) -126\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-15)*-1*5. Let b(i) = -4*i + 5*i**2 + 3*i**2 - 4*i**2 - 3*i**2 + 4. What is b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.969 + -0.031. Which is greater: i or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, i: 3}. What is prob of sequence ii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229 - -244. Let a(x) = x**3 + 6*x**2 + 8*x + 3. Let j be a(-4). Solve -j = -3*q - s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/23 in -5\/7, 6, 2, -2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -h, 1 = -r + h + 2. Let u = r + 1. Sort -4, -1, u in increasing order.\nAnswer: -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Suppose -l = -4*d + o*l + 44, -d + 4*l = -11. What is the greatest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 986180?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 9*f - 4. Calculate g(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64955 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (442 + 244 - 154)*(2 - 2*b**4 - 2).\nAnswer: -1064*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-10)*(710732\/(-71050) - -10)\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5266 - 5264 + 15793 - 3*n - 5257. Let h(t) be the second derivative of -2*t**3\/3 + 5*t**2\/2 - t. Give 6*h(b) - 5*v(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5397425, 10794847, 16192267, 21589685?\n\"Answer: -k**2 + 5397425*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 15. Let n be z(8). Let q be n + -3 + 5 + 70. Round q to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 81\/4 of a hour?\nAnswer: 1215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10628 is divided by 10622.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -702 divided by 6?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 3*h**3 - 2*h**3)*(-h + 2 - 2 + (-3 + 3 + 2)*(-2*h - 5*h + 5*h)).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433156 is divided by 35788.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*f + 0 + 0)*(-f**4 + f**3 - f**3).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r = -3. Suppose w - 417 = 2*g, -7*w + r*g + 1236 = -4*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 653 + q - 236.\nAnswer: -2*q + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 3\nAnswer: -176\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82417 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 47*y**4 - 16*y**3 + 28*y**2 - 18. Let m(z) = -2*z**3 + z**2 - 2. Let i(o) = k(o) - 9*m(o). What is the third derivative of i(d) wrt d?\nAnswer: 1128*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from phpcl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16 - 9*f**4 - f**4 + 1 - f - 3*f**4 - 4*f**4 - 3*f**3 wrt f?\nAnswer: -204*f**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 196*x**3 + 832*x**2 + 848*x.\nAnswer: -4*x*(x - 53)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 87309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvwbkvbvsspw. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 1293336.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*w + 180 = -269*w. Suppose 2*h = -2*h + 360. Let o = h + w. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one fifths of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 3952 = 52*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -977 = -2*k - 171. What are the prime factors of k?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 1, 235, 0.019, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 7:55 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(2) + sqrt(450)\/sqrt(9) - sqrt(14)\/(sqrt(7)*2 + sqrt(7)))**2.\nAnswer: 605\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1403 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26375164 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 28*p + 13. Let m = p + 15. Solve -x + m - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284 and 345983?\nAnswer: 1383932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578.9124 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 596*y**2 - 5*y + 2. Is s(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 - 1692\/(-42). Suppose 0 = 6*r - 3*r + 5*a + w, 44 = -3*r - 4*a. Let p be (-12)\/9*6\/r. Are 1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v + 2. Suppose -3*j + 3*t = -2 - v, -5*j - 5*t + 5 = 0. Find the third derivative of -3*p**3 - 3*p**2 - j*p**4 + 3*p**3 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-998 + 0)*(6 + -9). Is 1 + v + 8 + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 at most as big as 994526.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137341 is divided by 141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123121 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.94 + 5.94. Is i less than 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/22)\/(19464\/89210)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12710*j - 6 - 12710*j - 69 + j**2.\nAnswer: j**2 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*r**3 - 248*r**2 - 26 + 498*r**2 - 248*r**2 - 122*r**3 + 28 - 2*r to the form p + n*r + f*r**3 + s*r**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 64*x = 266526. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(50) - 4*sqrt(3645))\/(1*(sqrt(441)*-2 - sqrt(441))*4).\nAnswer: 179*sqrt(5)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9 + -6 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 8*k - 1. Let z be 4\/1*21\/14. What are the prime factors of a(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 55. Let x be i(-20). Solve 8*j - 3*j - x = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7152 - -7207. Suppose -2*w - 2*p + 26 = 0, -4*w - p = -6*p - 7. Suppose -7*y - n = -w*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 526346 * -2314\nAnswer: -1217964644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iabc when four letters picked without replacement from iaajwbcjc.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4959375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-177)\/(-295)*5\/(-81))\/(2\/12). Let o = 15 + -11. Put q, o, 1\/5 in descending order.\nAnswer: o, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425) + 1)*5)**2.\nAnswer: 500*sqrt(17) + 42525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551, -1119, -1711, -2327, -2967?\nAnswer: -3631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6097556*q**6*s - q**2 - 66*q*s + 931 wrt q?\nAnswer: 731706720*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 19*d**2. Let a(p) = 700*p - 2802. Let j be a(4). Let k(w) = -588*w**2. What is j*k(t) - 63*u(t)?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 19 - 17 = 0. Sort 2, -5, -1, k.\nAnswer: -5, -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6029, 12056, 18083, 24110, 30137?\n\"Answer: 6027*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*3)\/sqrt(6).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*w - 15, -7 = 5*w + 3*v + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 2*f + f - 2*f. Give j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 8.26869\nAnswer: 1.653738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbkgnkfcccccgbkbbnb. What is prob of sequence gb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128372, -256849, -385444, -514157, -642988?\nAnswer: -771937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.55172 nanoseconds in seconds?\nAnswer: 0.00000009855172","meta":{"dup_signals":{},"source":"measurement__conversion_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 b = 342111 + -139850. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(-6)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y = 3*i - 38, -4*y - 54 = -5*i. Let l be (-138)\/(-12)*(1 - -1). Let u = 61 - l. Calculate the remainder when u is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(12\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t**2 - 8*t - 10. Let c be h(8). Let z(n) = -n**2 - 10*n + 5. Let x be z(c). Let r = x - -3. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 338 - 198. Suppose -5*l + z + 1170 = 0. List the prime factors of l.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7677 or 1883?\nAnswer: 1883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5909 by -1845.\nAnswer: -5909\/1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 39. Let q(a) = -a + 3. Let x(l) = 5*l. Let r(c) = -c - 1. Let u(o) = 4*r(o) + x(o). What is b*u(f) - 5*q(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r. Let p(v) = 24*v. Give p(i(w)).\nAnswer: 144*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**5\/15 - 5*n**4\/12 - n**3 - 7*n**2\/6 - 2*n\/3 - 34. Find b, given that m(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 2*c**3 - 5*c**2 - 4*c**3 + 5*c**3 - 14. Let o be l(-6). Solve 2*j = -w - 5, -3*w + 3 = -o*w - j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5699, 10760, 15183, 18968, 22115?\n\"Answer: -319*l**2 + 6018*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from gppsspgpppps?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(7) + 0 - sqrt(7))**2*1 + sqrt(7)) + (4*-3*(sqrt(63) + sqrt(7)))**2.\nAnswer: 4*sqrt(7) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157543679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 10. Let a(n) = -n - 5. Let c(w) = -9*a(w) - 4*v(w). Let f = 240 - 227. Let d be c(f). What is the highest common divisor of d and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 21*s - 25*s + 27.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -7*k**3\/2 - 15*k**2\/2 + 3*k. Is q(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9772, -0.1, 4, 5 in descending order.\nAnswer: 9772, 5, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37022 + 17*a**2 + 18504 + 18518.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from mkpududpkuvkdkkkuump.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**5\/5 + 2385*k**4\/2 - 5*k**3 - 4*k + 4799. What is the third derivative of h(q) wrt q?\nAnswer: -24*q + 28620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15507465, 15507464, 15507463, 15507462?\nAnswer: 15507461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2113*c + 2120*c - 4233*c - 8557*c**2.\nAnswer: -8557*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 519839, 519829, 519819, 519809, 519799?\n\"Answer: -10*n + 519849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 7*t - 13. Let l be h(9). Suppose -2*v = 15 - l. What is the second biggest value in -0.2, v, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:38 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 + 376*m**2 - 8836*m = 0. Calculate m.\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, c: 1, q: 2, z: 1, g: 1}. Give prob of picking 1 b and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-14))\/((-17)\/34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5.107, 1\/2, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 3*n + 7 + 4*n - 12. Let w be v(2). Let f = -1\/29 - -322\/87. Is f < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbcb when four letters picked without replacement from cdcccbbbcb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25810)\/50 + (1\/(-5))\/(-1). Let z be (-8)\/20 - m\/15. What is the highest common factor of 306 and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:12 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 369451 to the power of 1\/2, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631540 + 5*i + 631540.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 109, 246, 439, 688, 993, 1354?\n\"Answer: 28*h**2 - 3*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 2, -1\/2, 0.1 in decreasing order.\nAnswer: 2, 0.1, -0.08, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 9*i**2 + 24*i - 5. Determine t(8).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:01 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwjuxwxxxuwuwy. Give prob of sequence jx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10085 - -141301\/14. Let k = 21 + -29. Calculate the common denominator of g and (-342)\/k + (-1)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2 - 7*x + 349. Let k be q(34). Calculate the highest common divisor of 137 and k.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(6\/11)\/h))\/h**(-1\/17)*(h*h**(-6))**11 assuming h is positive.\nAnswer: h**(-10002\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k + 4*g + 1, -2*k - 2 = -2*g. What is the closest to 1 in 11, k, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**2 - 3*v. Let f(h) = h**2 - 1. What is 2*f(i) - y(i)?\nAnswer: -11*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -2 (c) 0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0074 (base 11) to base 4.\nAnswer: -203300323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/(-15) + -2 + 33\/15. Let v(y) = 3*y + 11. Let w(k) = k + 5. What is c*w(j) + 2*v(j)?\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (-522)\/(-957)*88\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*t**2 + 6*t**3 - 422*t**2 + 955*t**2.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(12\/7))**(-10) assuming a is positive.\nAnswer: a**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**2 - 804*p - 404.\nAnswer: 4*(p - 101)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(8\/(-20))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*g + 136*g + 295 = 297*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 5*h + 15, 0 = -17*l + 19*l + 5*h - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*w + 33, 44 = 4*w - 4*g + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l**2 + 2*l - 6 + 0*l - 5*l - 12 - l**3. Let z be m(-11). What is the greatest common factor of z and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((((-3321)\/(-216))\/41)\/(3\/8*-2)). Factor 32\/7*k - 34\/7 + 2\/7*k**i.\nAnswer: 2*(k - 1)*(k + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:10 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, y: 3, o: 1, c: 1, w: 3}. What is prob of sequence cy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3244 + 3897. Calculate the remainder when q is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11013 + 2?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-242)\/(-4) - (91\/14 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-3) - (-3 + 0). Let x(v) = 4 + 0*v**2 - 9*v**2 - 4*v + 8*v**2. Give x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + s - 1. What are the prime factors of h(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37608 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-5)*13\/156*-4.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 - 8*y - 4. Let s(f) = 5*f**2 - 7*f - 4. Let x(b) = -4*a(b) + 5*s(b). Let l be x(4). Solve -v - 2*v = l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 84. Let g be a(18). Calculate the greatest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113 is divided by 246?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*k + 2*n, 2*k + 10 = 5*n + 66. Suppose -4*g - 5*s = -k, -s - 32 = -5*g + 2*s. Let l = 3 + 1. Calculate the remainder when g is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + f - 269, 0*f + 4 = 4*f. What is the common denominator of 2\/(-5) - 114\/(-15) and (-12)\/8 - w\/44?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-152)\/(-133))\/(72\/2478))\/(2\/(-6)).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00463005587 to five dps.\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 27 + -29.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*j = -12052, -h - 1544 = -2*j - 4557. What is the highest common divisor of h and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 1a0?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slfflpsslffssfs. Give prob of picking 3 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = b + d, -8*b + 17*d - 19*d = -42 - 52 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752089532*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aamamvvmmmvv. Give prob of picking 1 a and 3 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72.3 + 11.3. Let n = q + 60.99884. What is n rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -205. Let o = v - -376. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = -0*d. Let b be (-4)\/d + -4 + 6. Suppose -8*c = -7*c. Solve b*r + c*r + 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -60.042. Which is the second biggest value? (a) -0.3 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2895 divided by 1.\nAnswer: -2895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17332720 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53424 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(48) - -1*sqrt(1900))*-2.\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 48. What is the units digit of (-304)\/8*l\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1566 divided by 10.\nAnswer: -783\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 4 + (-1251002)\/22. Let j = f + 110355\/2. Let u = j - -1690. What is the common denominator of 41\/14 and u?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-671 - 672 + 23544*u + 2064 - 721)*(-4*u + 6*u - 4*u)*(5*u - 2*u + 0*u).\nAnswer: -141264*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 8*f - 13 = -5*h, 0 = h. Sort f, 3, 20 in increasing order.\nAnswer: f, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3309 is divided by 229.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3756 - -3755.9. Which is the second smallest value? (a) 90 (b) s (c) 2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109325*p + p**3 + 109328*p - 218653*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 152. Suppose -5*k + d = 4*n, -2*n + 5*k - 2*k = -41. What is n rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k + 81*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 19*r - 67. Let k be h(25). Let a = -404 + k. Solve a*y - y = 4*q - 23, 3*y + 19 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2837 divided by 77\nAnswer: -2837\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -200*v**3 + 602*v**2 - 15*v + 40. What is z(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (22 + (2 - 14) + -8) - -90) + 11?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/6 + -1*3\/6. Let c(h) = s + h**3 + 41*h**2 - 44*h**2 - 2*h**3. Let g(f) = 2*f**3 + 7*f**2 - 7. Give 7*c(v) + 3*g(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383340\/60 + (-4)\/12?\nAnswer: 2, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (-2 + -1)) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + -5 + (sqrt(336) - (sqrt(336)*-2 + sqrt(336)))\/(-4*sqrt(7)*-4).\nAnswer: -3 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a factor of 637543008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29325 + -20384. List the prime factors of v.\nAnswer: 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 - 17*m - 27. Let b be f(-6). Suppose 0 = -16*a + b*a + 91. What is the greatest common factor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3 + 5 - 23*n - 9*n**2 - 6 - 4*n + 8. Solve d(g) = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195 - 190. Solve -h*x = -2*r - 7, 3*r - 5*x + 9 = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -65*y + 2545. What are the prime factors of z(0)?\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 10*c - 12. Calculate the remainder when 117 is divided by i(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29516075.39999996 + -29516076. Let n = 0.6 + q. What is n rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 - -2.3. What is the nearest to 2 in g, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*c - 81 = 2*t, c + 69 = t. Let b = 75 - t. Factor -3 - 1\/3*n**b - 2*n.\nAnswer: -(n + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 5*a**2 + 2*a + 4. Let q be z(-5). Let h be (-4)\/q + (-21)\/(-9). Solve -4*k = -5*d - 0*d - 6, h*d + 2 = 4*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-8) + -4 - 651\/210\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 6*o + 14. Calculate the smallest common multiple of 60 and a(4).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(1008) + sqrt(7) + sqrt(14)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: 170352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/20 - v**4\/4 + v**3 + 5*v**2\/2 + 4*v. What is t(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8971 + -4235.14\nAnswer: -4237.0371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l. Let g(q) = 47*q. Determine g(s(x)).\nAnswer: -376*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -62024956.82 to the nearest one million.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4379*s - 123 + 50 + 15 + 58. Let c(i) = i**2. Calculate c(h(f)).\nAnswer: 19175641*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 12, 3, 0, 9, 36, 87?\n\"Answer: a**3 - 6*a**2 + 2*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 15*v + 23. Let y be n(13). Let k(i) = -2*i**3 + 2*i**2 + i - 1. Let d be k(y). Suppose -u + 3*u = d. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from zzzzkzzkz?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 578489*d. Let b be q(1). Let f = b - 2296297\/4. Let l = f + -4392. Find the common denominator of l and 145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 12) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.2. Let r = -0.1172 + 4.1172. What is the closest to -0.1 in -1, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3491530?\nAnswer: 2, 5, 7, 31, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11278*g = 11196*g + 6314 - 1394 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -112, 1, 0 in decreasing order.\nAnswer: 4, 1, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52210*k**5 + 2*k**4 + 165*k**2 + k - 85 wrt k.\nAnswer: 3132600*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6197 take away 0.50428?\nAnswer: -3.12398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -8)\/(5\/5). Suppose 0 = -b*l - 2*g + 3276, g = -l - 2*l + 1966. Suppose -5*p + 269 + l = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 2. Let k = 72 - 67. Let d(f) = -2*f - 3. Determine k*d(i) + 6*m(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-3))\/((-8)\/3*(-4)\/48)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 604 + -6b?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -977*c. Let z(i) = 454*i. Let b(f) = 160*f. Let j(p) = 17*b(p) - 6*z(p). Give j(l(u)).\nAnswer: 3908*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v*v*v\/v**(3\/4)*v)**(-37) assuming v is positive.\nAnswer: v**(851\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1707 + -63716670613.\nAnswer: -63716668906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/89? (a) -5 (b) -3 (c) -0.01 (d) -2 (e) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 109391.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*f + 14, 0*f = 2*s - f - 23. Suppose -7*m - 8052 = -s*m. Suppose -7*h + m = -6843. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - 172. Suppose 5*l + 368 = 2*s + 3*l, -w*s + 366 = -l. What is the highest common divisor of s and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*d - 5295 + 3337 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/20 and 27\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 943 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*c + 646*c - 325*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -43*o**3\/3 - 262*o - 1. Let u(a) = 22*a. Give j(u(z)).\nAnswer: -1892*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/333 and ((-4)\/370)\/((16\/39)\/4).\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 times 5?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-6))\/((-18)\/(-27)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 14*w**2 + 1346*w - 18797. Give u(14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by 41\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/((-285)\/266)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16543 + -5333. What is s rounded to the nearest one hundred?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - v + v - 125*v**2 + 72*v**2 + 248*v**2 to j*v**2 + t + s*v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*y + 5, 5 - 30 = -3*n + 2*y. Let p(d) = -1039*d + 1030*d - d**2 - n*d**2. Let l(q) = -q. What is l(p(k))?\nAnswer: 6*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17167 is divided by 5719?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -5*f**8\/112 - 11*f**4\/24 + f**2. Find the second derivative of c(j) wrt j.\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3482.9 - -3483. Which is smaller: -4939 or v?\nAnswer: -4939","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1180\/37 + 23941\/666. Find the common denominator of 79\/8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) - 200\/(-72). Calculate the common denominator of (-52)\/g + (-1)\/2 and 12\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(3*i - i + 0*i) + (5 - 2 - 2)*(33 + 38*i - 33) as g*i + w and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 627617541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 23*t + 25. Give p(23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294524 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 65, 95, 125, 155, 185?\n\"Answer: 30*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose q - w*q = -6. Let r(u) = u - 4. What is r(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3045051170 rounded to the nearest 1000000?\nAnswer: -3045000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 31*g**2 - 44*g + 112. Determine a(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81281864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*n**3 + 40*n**3 + 18*n**4)*(13 + 1 - 3)*(11 + 6 + 4) to y*n + c*n**4 + i*n**3 + w + u*n**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 66 = 30. Suppose 2 = -u*m + 10*m. What is the second smallest value in 0, m, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 93308052.\nAnswer: -5\/93308052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**2 + 143*h - 108. Give s(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7426.994054 + 7427. Round l to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/((d*d**(-6\/13))\/d))\/d)\/d)\/((d*d**(-3\/13))\/d*d)*d\/((d*d**(-12))\/d)*d*d**(10\/11) assuming d is positive.\nAnswer: d**(2088\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + b + 734 = 2834, -3144 = 3*m - 3*b. Let a = m + 12569\/12. Let j = -133511\/10 + 13340. Calculate the common denominator of a and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c - 15*c - 5*c - 10*c + 71*c - 8*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136830893.\nAnswer: 251, 545143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 393 - 394. Which is bigger: 113 or x?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 252?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z - 5*h - 707 = 37*z, -5*h = 4*z - 1001. Calculate the remainder when 951 is divided by z.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 315\/134 - 90149\/670. Let x = j + 132. Let z = -1 + 3. What is the nearest to -8 in z, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*o + 6 = 0, 5*o = -47*x + 52*x + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - n - 6. Let j(b) = 12*b**2 - 11 - 2*b - 21*b**2 + 5*b**2. Calculate 6*j(g) - 11*w(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22850209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110101010 (base 2) in base 16?\nAnswer: -9aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 298 + 375. Let b = -2303 + w. What is b rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b + 89 = -40 - 95 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -311 + 508 + -108 + -12?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(4 + -1 + sqrt(2420)) + -4))**2.\nAnswer: 23760*sqrt(5) + 784980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2 + a - 1 + 2*a + 0*a**3 + a**3 + 0*a**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19099 + -19086.901. Round f to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 998\/(-7) + (-36)\/(-63). Let l = -101 - i. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmmmmmmmdmmmmm. What is prob of sequence dm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -36*w - 5 - 53 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-1)*1)\/((-4)\/(-6)). Let c(f) = -2 + f**2 + h - 4. Determine c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234736 times 0.3?\nAnswer: 370420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ffdzfddffdfffdz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-78) - (1002\/252 - 4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-3*-4 + (0 + 1*sqrt(175) + sqrt(175))**2.\nAnswer: 96*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1459 >= -1465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217744 is divided by 217742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2064 and 114208?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -318, 0, 3, 4, 5, 7 in descending order.\nAnswer: 7, 5, 4, 3, 2, 0, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5801 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkm when four letters picked without replacement from {o: 3, k: 4, m: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*k - 167, 543 = i + 7*k + 567 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*x + 27, -x = -2*w + 4 - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -36302?\nAnswer: -36302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16639\/20 + 832. Let x(r) be the third derivative of -1\/2*r**3 + 0*r + 3\/8*r**4 + 7*r**2 - 3\/40*r**6 + 0 + t*r**5. Factor x(v).\nAnswer: -3*(v - 1)*(v + 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g + g**2)*(1683 + 62 + 318)*(2 - 4 + 4).\nAnswer: 4126*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010101011 (base 3) to base 4.\nAnswer: -22031203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169914?\nAnswer: 2, 3, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*y - 20 + 6, -5*y = -3*v + 14. Suppose -4*s + 52 = 2*q, -v = 2*s - 9. Suppose -q = -4*m, -5*m - 7 = -5*u - 37. Are u and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 88*g + 3066. What is s(-48)?\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 19\/((-95)\/60). Calculate the highest common divisor of 60 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35086 is divided by 5547.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1500200440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/(-6)) - -1. Suppose -l*u - u + 5 = -5*i, 3*u = -3*i + 15. Let m(q) = -u*q**2 + q - q. Let a(h) = -3*h**2. Give a(m(r)).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -264114 or -264116?\nAnswer: -264114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, a: 1, z: 3, g: 4, f: 1}. What is prob of sequence azef?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*z - 72, -4*d + 39 = -2*d - z. Calculate the remainder when 59 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:16 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5178 greater than -5177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 14*l - 9*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4242*c**2 + 4 - 17*c.\nAnswer: -4242*c**2 - 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891515 divided by -29.\nAnswer: 891515\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 6*x + 12. Let z be -4*(-2)\/(-12)*x. Let n be (3 + z)*(1 - 2). Is -1\/7 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 13*v + 3. Let q be p(-6). Suppose 0 = 23*t - 7*t. Sort t, 12, q.\nAnswer: q, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**2 - 473*u - 197. Give h(-58).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 18546*m\/5 + 222264\/5.\nAnswer: 2*(m + 12)*(m + 9261)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 54 = 29*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**3 + 7672*o**2 - 15356*o + 7680 = 0.\nAnswer: -1920, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 404008041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-56) - (-72)\/7. Solve s = -s + z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16759 - -0.026.\nAnswer: -16758.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiihtttith. What is prob of sequence itth?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 5*l - 4*l)*(-3*l**2 - 4*l**2 - 2*l + 3*l).\nAnswer: 14*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.028288 micrometers to nanometers.\nAnswer: 4028.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 622 - 290 = 0. What is the highest common divisor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 2. Let l be (5\/4)\/((-1)\/4). Let f = l + 4. Let c(s) = s**2 + s + 1. Determine f*m(w) + 2*c(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7623 + 91363\/12. What is the common denominator of -3\/8 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 173*h**3\/6 + 107*h**2\/2 - 15*h - 3. Differentiate c(s) wrt s.\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83493.\nAnswer: 3, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let h(d) = 140*d**2 - 32*d - 30. Let x(w) = -w**2 - 4*w - 3. Let r(f) = -h(f) + 10*x(f). Determine a(r(l)).\nAnswer: 300*l**2 + 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8717 + -3\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/378 and 68\/567.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 183904?\nAnswer: -183904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 429 + -201. Suppose -3*g + 63 = -r. Suppose 24 = n - g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -63. Let m be 8\/12 + 124\/s. What is the highest common divisor of m and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let q = -1220 + 1223. Let i be (-1)\/(-2)*(-30)\/(-3). Sort i, q, a in increasing order.\nAnswer: a, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 0.6. Let b be (-20)\/150 - 59\/(-105). What is the nearest to r in 0.4, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 20, -10, -12, 6.\nAnswer: -12, -10, 6, 17, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9 + 0*v**2 + 4*v + 1 - 4*v**2 + 6*v**2. Let a(p) = p**2 + 2*p + 5. Give 5*a(t) - 3*m(t).\nAnswer: -t**2 - 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2210001332 (base 4) to base 5\nAnswer: -132444440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 15*v + 9. Let i be f(-8). Let c = i + 41. Let q = c - 71. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-4) + (-2)\/(-8). Let a = -77 - -691\/9. What is the nearest to 0 in 3, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -2*q**3\/3 + 35*q**2 + q - 3. Let v be n(17). Put 5, v, 0 in ascending order.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438850243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 - 416*x**3 - 430*x**3 + 639763*x - 639761*x in the form r + t*x + f*x**3 + o*x**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-4 - -8) - -1461. Suppose -y + 12*y - o = 0. What are the prime factors of y?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30588, 61178, 91768, 122358, 152948, 183538?\nAnswer: 214128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 19*i - 3. Let k be y(3). Let n be (-38)\/(-10) + (-27)\/(-135). Let v be n\/1 + 64\/32. Calculate the highest common factor of k and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/18)\/((-5)\/250) + -3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -163b + -5?\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2 - 6 - p - 5. Let l be s(-5). Let t be ((-6)\/9)\/(l\/42). Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**8\/168 + 3*d**5\/20 - 5*d**2. What is the third derivative of h(n) wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873183802?\nAnswer: 2, 7, 23, 43, 59, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3029607 and 8379?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 91\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 5, t: 1, x: 1, g: 1, r: 2, h: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 - 4*n - 8. Let j be d(6). Suppose 0 = -j*g - 4. Let c(r) = -8*r**3 - 2*r**2 - r. Is c(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-519)\/1557)\/(1\/99).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 126 + 14. Let k(w) = -1 + w**2 - 7*w + l*w - 12*w - 11*w. Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115703.\nAnswer: 7, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/96)\/(2180\/26160).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.791297 years?\nAnswer: 0.00791297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:29 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*g + 13311 = 3*x - 83*g, 0 = 2*x + g - 8875. What is the highest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787*q - 8485 + 3957 = 5703 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -5\/3*q**3 + 0*q**2 + 11*q - 1\/12*q**4 + 0. What is the second derivative of m(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9237*l**2 - 7*l + 44. Let i be f(-12). What is i rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z + z + 17*z. Solve 3*l = -z*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z*z*z*z\/(z**2\/z)*z*z*z\/z**(-2)*z*z*z**(-4\/5))\/((z**1)**47*((z*z**(-4))\/z)\/(z*z*z*(z*z**(-1\/4))\/z*z)) assuming z is positive.\nAnswer: z**(-521\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.052, 0, 4, 13\/48, -4?\nAnswer: 13\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:28 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 1. Let y be (-6)\/(-4) - 21\/12. Let h be 55\/84 - (-12)\/(-16). What is the closest to y in -0.1, f, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -15. Let d(c) be the second derivative of c**4\/6 - 2*c**3\/3 - 13*c**2\/2 - 9*c. Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 0. Let m be o\/12 + 4\/6. Solve m*d - 5*d = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7958, -15912, -23866, -31820?\n\"Answer: -7954*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 62*t**2 - 18*t + 20. Is 20 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*s + 423*s - 131498 = -682*s for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*j**2*v**3 + d**2*j**2*v**2 + 511*d**2*j**2*v - 3*d**2*j*v**2 - 511598*j*v**4 wrt v.\nAnswer: -6*d**2*j**2 - 12278352*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*f**3 - 9*f**2 - 11*f + 31 wrt f?\nAnswer: -450*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3 - 1\/5*j**5 - 11\/5*j**4 + 0 + 0*j**2 + 0*j = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56257879 by -1751.\nAnswer: -32129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 117586891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 42993 + 509522. Suppose -20503 + k = -5*j. Round j to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/11 and -2*(-9)\/30*-1?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -64 (b) -9 (c) -4175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {o: 3, t: 1, d: 2, n: 1, u: 1, a: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1751\/(-1030))\/((1\/(-1))\/(-2)) + (41 - 36).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttd when three letters picked without replacement from {r: 1, n: 1, t: 2, d: 1, v: 1, k: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10304020 (base 5) to base 16.\nAnswer: 157ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5777 is divided by 1850?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/160?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-40))\/(((-2)\/(-12))\/((-74)\/(-111))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 - (-2 + (2 - (-2 - 1))))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 31 - 13 = -13. Let a(g) be the third derivative of -1\/6*g**4 + g**3 + 0 + 0*g + d*g**2. Give a(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 499047 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*k**2 + 86*k - 3256.\nAnswer: 122*k + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*c*w**2 - 2*c + 5*w + 8 wrt w?\nAnswer: -46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*1)\/sqrt(11))\/sqrt(6) + (sqrt(192) - (1 + sqrt(192) + -3)).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r - 6. Let g be k(-13). Let o = 122 - g. Suppose 3*h - o = -0*h + 5*z, 0 = -3*h + 2*z + 31. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*o + 4)*(3 - 3 - 1)*(345*o - 410*o - 1 - 677*o) to d*o**2 + j*o + k and give d.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -307\/2, -1, 0 in decreasing order.\nAnswer: 0, -1, -307\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38380.\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*k - 1, -3*j + 9 = -3*k + 4*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*i = 67*i - 32. Let t(p) be the second derivative of 23\/30*p**6 + 0*p**3 - 11*p + 0*p**5 + 17\/2*p**2 + 0*p**i + 0. Differentiate t(d) wrt d.\nAnswer: 92*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3630, 3631, 3632, 3633, 3634, 3635?\nAnswer: 3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1427.118 + 1430. Let k = x + 0.118. What is the nearest to 2 in -0.4, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, 3, 12, -0.5 in decreasing order.\nAnswer: 12, 3, 1\/26, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3013448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 2*g = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 8325*j + 200389. Determine z(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0 - 4\/3*d**3 + 0*d**2 + 2*d. Let a(i) be the third derivative of i**4\/12 - 20*i**2. Give a(t(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -16, 5, 3, 4.\nAnswer: -16, 3, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -37?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (-46 - 13)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1928 - ((-9)\/18)\/(2\/(-32)). Round b to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20931976 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -0*k - 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 80*j**3 + 464*j**2 - 256*j - 3072.\nAnswer: 4*(j - 8)**2*(j - 6)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 12481, -2\/5, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v - 461 = -18*v - 414 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7477 - 37518\/5. Let g = r - -27. Determine s so that 6\/5*s**4 - 4\/5*s**2 + 4\/5*s**3 + 2\/5*s**5 - g - 6\/5*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -19, -48, -89, -142, -207?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + h + 22 = -h, -4*j + h = -21. Suppose -2*i + j = -m, 4*m + m + 4*i - 22 = 0. Which is the nearest to 2\/7? (a) 2\/13 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let t(p) = p. Suppose 0 = c - 4*v - 16, -c + 3*c + v = 14. Let l(u) = c*t(u) + 3*z(u). Let g(y) = -80*y. Calculate l(g(n)).\nAnswer: 80*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 844.\nAnswer: -4220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((-15)\/50) - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-208)\/1352)\/((-2)\/(-8)*2)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1467199 divided by 53.\nAnswer: -27683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -8*s + 4*s - 2 + 6, 4*s - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 5*x - 3. Let d be r(-6). Let f be (d - 0 - 4)*-1. Let p be 2 + 1 - 0\/1. Solve -f = -p*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 12*d**2 + 30*d - 13. Calculate the remainder when x(9) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 134*u**2 - 396*u + 2112. Calculate z(-137).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 0, 468, 2, -0.11 in decreasing order.\nAnswer: 468, 2, 0, -0.11, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -590 in 0.5, -2, -0.2, -0.5, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shrphprrhphehhxr. What is prob of sequence xh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 5651162?\nAnswer: -5651161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8689 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4100, 16432, 36994, 65792, 102832, 148120, 201662, 263464?\n\"Answer: r**3 + 4109*r**2 - 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + i + 4 = 0, 2*n + 3*i + 16 - 2 = 4*i + i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7757553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 > 451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 27 = -1. Let x = v + 7. Let c = 1 - x. Calculate the smallest common multiple of 18 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -1, 5, 1, -44480 in decreasing order.\nAnswer: 5, 1, -1, -3, -5, -44480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46729280 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164207 divided by 2.\nAnswer: -164207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 29 = -7*j - d, 0 = -j + 5*d + 23. What is the remainder when j is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 119 = 4. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2*f**3)*(f + 2*f - f) - 3*f**4 - f + f + 2*f**4 + 0*f**4 - 5*f**4)*(-1 + 1 + 3)*(-3 + 3 - 2).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 17, -5, 1, -4, 2 in increasing order.\nAnswer: -111, -5, -4, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 60*y**2 - 65*y + 1. Calculate d(61).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.62 - 27.62. Let n = 25 + s. Which is smaller: 7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -5, 3, 15, 4 in increasing order.\nAnswer: -5, 3, 4, 15, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - n**2 - 3*n**2 - 8 + 4*n**2 + 4*n**2 to the form r*n**2 + t*n + o and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 47*s - 150. Sort 0.23, 3, s in increasing order.\nAnswer: 0.23, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13557*s**2 - s**3 + 8*s**4 + 13558*s**2 + 9*s + 2*s to the form w*s**2 + x*s + q*s**3 + n*s**4 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a**3)*((a + 0*a + 0*a)*(2*a + a - 5*a) - 10*a**2 - 8*a**2 + 7*a**2).\nAnswer: 13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/9 + (-2)\/6. Let v be 1 - 1 - b - 2. Let y be ((-16)\/380)\/(v\/5). What is the second biggest value in y, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -35\/2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-4)\/4)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*z - b - 8319, z - 2773 = -4*b. What is the greatest common divisor of z and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 724 divided by 56.\nAnswer: 181\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**4*t**2 - 84*c**4 + 87*c**3*t**2 + 155*c**2*t**2 - 2*c*t**2 + 3*c - 11*t**2 wrt c.\nAnswer: 24*c*t**2 - 2016*c + 522*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 3. Let a be w(0). Suppose -4*t = -4*p, 0*p + 10 = 2*p + a*t. What is the third derivative of -f**6 - f**2 + p*f**6 + 0*f**6 wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 58. Let l(h) = 9 + 13 - r + h + 18. Let j be l(-16). Solve -5*u - 5 + 30 = j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/731059 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -18590*f + 189 = -18752*f + 1161 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/3 + 0)*156\/91. Let r = f - 77. Round r to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -1.3 (c) 0.2 (d) -10 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/5)*w**3*(w\/w**(2\/7))\/(w\/w**(-5)*w) assuming w is positive.\nAnswer: w**(-101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 6 = 2*a + 13*s, 0 = -5*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -10, -176, 1, -1, 0 in decreasing order.\nAnswer: 4, 1, 0, -1, -7, -10, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - -3.08. Let m = -2.5 + o. Let t = m + 0.5. Which is the closest to t? (a) -3 (b) 2\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -25. Let u(z) = z**3 + z**2 + 5. Let v be u(4). Let d = v - 257\/3. Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + i - 3. Let r be p(-4). Let z(a) = 6*a**2 + 9*a + 8. Let l be z(-6). Let g = l - r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and 0.2111.\nAnswer: -6.7889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 11. Let s(h) = h + 2. Let y(g) = 2*m(g) + 11*s(g). Let c be y(2). Let n = c + 5. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -5)\/((-28)\/(-11260)*-6). Let n = -268 + g. Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*b - 2304 = 71*b. Suppose -384 = 97*j - 103*j. What is the greatest common factor of j and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162966 or -162972?\nAnswer: -162966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-5 - -1) + -5 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1574492 - 436621. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188.4702 - 0.0298. Let b = l - -189. Sort 3\/10, 0.1, b in decreasing order.\nAnswer: b, 3\/10, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 25. Let l = -8 + t. Which is the third biggest value? (a) 4 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 5*i**2 - 34*i - 13. Let h be d(9). Put 1, -7, h, -3 in increasing order.\nAnswer: -7, -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (1*-2 - -2). Suppose -15*p = -20*p - 10, 0 = 2*v - 2*p. Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*4\/56*160\/(-1640).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-9)*(-162)\/(-1080)*-30?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -71*t**2 + 23. Let f(i) = 1992*i. Determine q(f(s)).\nAnswer: -281732544*s**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4823, 19292, 43415, 77198, 120647, 173768, 236567?\n\"Answer: d**3 + 4821*d**2 - d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -80757000 rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3203 - 9607\/3. Let d = -0.6 - -0.4. What is the third smallest value in p, 0, -6, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 13*s**2 - 14*s + 3. Let w be l(14). What is the greatest common divisor of w and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 307*o. Let i(f) = -336*f**2. Calculate i(s(w)).\nAnswer: -31667664*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(2\/9)))**(4\/17)*(m\/m**0*m)**(1\/10))\/((m*m\/((m\/m**3)\/m))\/(m*m**(-3\/7)\/m))**22 assuming m is positive.\nAnswer: m**(-639449\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r - r**2 + (-r + r - r)*(0*r + 0*r + 2*r) + 21*r**2 - 20*r**2 - 11*r**2)*(1 + 4 - 4).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r - 138*r - 2 + 43*r**2 - 47*r**2 - 74*r - 225*r in the form w*r**2 + n*r + q and give n.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50285462 is divided by 3352363.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/17)\/(p*(p\/(p\/p**(-6\/13)))\/p) assuming p is positive.\nAnswer: p**(76\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c**4\/11 - 314*c**3\/11 + 666*c**2\/11 - 54*c\/11 - 756\/11 = 0.\nAnswer: -6\/7, 7\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5045 + -60629\/12. Let t be ((-6)\/(-9))\/(10\/(-225)). What is the common denominator of (-6)\/(-8)*(-142)\/t and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13865054 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216142.\nAnswer: 2, 67, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 3*j - 11*j - 6*j + (0 + 2*j + 0)*(5 - 2 - 2) + 3*j - 5*j + 4*j to d + w*j and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -124185400 rounded to the nearest 1000000?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411487548.\nAnswer: 2, 3, 53, 646993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus -0.05?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -34. Let g(t) = -t + 1. Let q(f) = 34*g(f) + k(f). Let y(x) be the third derivative of x**5\/20 - 2*x**2 + 14. Determine q(y(l)).\nAnswer: -102*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 75, -42, -247, -528, -873, -1270?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + a**2 + 3*a**2)*(75 + 2*a - 96 + 3*a).\nAnswer: 5*a**3 - 21*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 318*y - 120*y.\nAnswer: -427*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 + 9*l**2 + 9*l + 9. Let o(p) = 3*p**2 - 8*p**2 + 4 + 4*p**3 - 5*p**3 + 4*p + 9*p**2. Give -4*j(v) + 9*o(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55086785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2. Let b(l) = 942715*l. Determine b(m(r)).\nAnswer: 3770860*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 15.92. Let m = -0.02 + q. Which is the closest to 0? (a) 2 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 93. Let g = 11 + -10. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + 0.039.\nAnswer: 57.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -46. Let j = -2.6 - -5. Let b = j - 2. What is the closest to l in 2, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-12)\/8)\/(12\/16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i**3 - 1727*i + 1727*i)*(-18 - 16 + 35).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 301544143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288 - 313.955. Let q = v + 26. Let x = -0.055 - q. What is the second smallest value in -1\/7, x, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*w + 6 = 0, 0 = -3*a + 5*a + 5*w - 18. Suppose -a*u - 3*g - 7 + 24 = 0, 3*g + 8 = u. Let v = 10 - u. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*m = -91*m - 3*b - 32, 26 = 2*m - 4*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6598769*a**3 + 852*a**2 + 6290 wrt a.\nAnswer: -39592614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4567*h - 4570*h - 27 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9149 (base 10) to base 6.\nAnswer: 110205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**3 + 3*g**2 + 4*g - 6. Let t(x) be the third derivative of x**6\/24 - x**5\/30 - x**4\/8 + 5*x**3\/6 + 6*x**2. Determine -3*o(v) - 4*t(v).\nAnswer: -2*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -38 (c) 5 (d) -82314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 13. Let n be u(6). Let w be (-14)\/6*(-9 + 6). Solve 0 = -5*h + 2*v - w, 0 = 2*h - 4*v - 3 - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4155555038.\nAnswer: 2, 17, 23, 5314009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * -1.02\nAnswer: 2.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 100?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -768452 divided by 4.\nAnswer: -192113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -287164\/55 + 5221. Let c = -4\/14373 + 1279277\/287460. Find the common denominator of c and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 5*y + 113 = -111 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9*s + 13*s + 269, -4*f - 264 = 4*s. Are s and -71 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1181*u + 35452. What is j(30)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 4*n**2 - 5*n**2 - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*z - 10016 + 82496 = 0. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/(-5) + -2 + (120\/(-10))\/60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 + -116. Calculate the greatest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/629876 and 27\/2204566.\nAnswer: 4409132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 - 434620*p + 9444727220 = 0. Calculate p.\nAnswer: 43462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 29149.31?\nAnswer: 29153.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 33*p**2 + 148*p - 1883. Give a(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 + 12 - 17)*(135*a - 3581 + 3581) to v + w*a and give w.\nAnswer: -7020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 396, 1461, 3580, 7113, 12420, 19861, 29796?\n\"Answer: 60*w**3 - 13*w**2 - 10*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.730281267 + -0.3.\nAnswer: -59.030281267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2724 + -2721. Which is the second biggest value? (a) -3\/35 (b) -0.02 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 16. Let p = 7 + -7. Determine a(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -1015215?\nAnswer: -1015215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -1. Is x equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9163 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039227861?\nAnswer: 11, 185384351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-19)\/(-2))*(-5 - (-174)\/36)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)\/k)**(22\/7)*(k**(-1))**24 assuming k is positive.\nAnswer: k**(-190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056 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: In base 16, what is -310 - -c?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -4. Let j be 20\/63 - 84\/378. Sort q, -0.7, j in ascending order.\nAnswer: q, -0.7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 155173?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -87882.05 to the nearest 100.\nAnswer: -87900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-14))\/(78\/1092).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346387 != 346387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 4*o - 7. Let b(l) = -l**2 + l - 1. Calculate a(h) - 6*b(h).\nAnswer: 3*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 10349.\nAnswer: 4\/10349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -650*k**3 + 2889*k**2?\nAnswer: -3900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbz when three letters picked without replacement from zzzfzxffbbzzb?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1234)\/10 - 4\/(-10). Let l = 98 + 170. Let o = y + l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and -1158.\nAnswer: 277.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14801 = 3*a, 3*p = -a - 1304 + 6227. Is 97 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 21*k**2 - 26*k + 29. Determine y(22).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 30473?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4927.39 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2282 + -2281.996574. Round h to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*d - 4*r + 3, 5*d + r + 10 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -193, -6, 14, 87 in increasing order.\nAnswer: -193, -6, -5, 14, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) -0.14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 2, l: 8}. Give prob of picking 4 l.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40b344 (base 14) to base 13\nAnswer: 5b5300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -2*d + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -6, -2\/3, -0.1, -1809?\nAnswer: -1809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7829 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0.027572 (c) 13 (d) 24\/11 (e) 4 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h**2 - 3*h + 1. Is d(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*r - 4 - 4, 0 = -4*v + 3*r - 4. Suppose -3*x - 3 = -15, -40 = -4*c - 5*x. Solve v*f - f = -c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4379 + 4395. Solve -c*y + 19*y - 9 = 0, -3*k - y - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (5\/((-25)\/(-10)))\/1. Which is the nearest to 1? (a) h (b) 0.1 (c) -2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 2*h**2 + h - 15. Calculate u(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 410*i - 398*i. Let n(k) be the second derivative of k**3 - 5*k + i*k**2 - 1\/20*k**5 - 5\/12*k**4 + 0. What is n(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -424, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43649 + 4?\nAnswer: 43653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 371188*p\/3 - 23607982.\nAnswer: -2*(p + 191)*(p + 185403)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0035 (base 14) to base 12.\nAnswer: 1a297b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19383 and 12141?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l, -2*p + 5*l + 129 = 17. Let u = 2 - 8. What is the units digit of p\/(-9)*u\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 e when four letters picked without replacement from kcppceemccpppeek?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 308*h**2 - 11858*h.\nAnswer: -2*h*(h + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 15*a**2 - 3*a - 35. Let d be m(-15). Let y be 6\/20*2 + (-96)\/d. Let w = y - -106. What are the prime factors of w?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*m**3 - 95*m**2 + 95*m**2.\nAnswer: -98*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 3*k - 1. Let r be a(4). Let g(x) = -5*x - 2. Let y(o) be the second derivative of o**4\/12 + 11*o**3\/6 + 2*o**2 + 204*o. Give r*y(b) + 7*g(b).\nAnswer: 3*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/((-4212)\/99))\/((-2)\/9).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 11*q**2 - 2. Determine k(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 42*r + 34 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-5) - (4 + -3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*n - 17 - 8 = 0, 2*r + 22 = 4*n. Let c be (-4)\/10*(2 - 22). Let a = r + c. Solve -d + a = 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111100010101111101 (base 2) to base 16.\nAnswer: 2bc57d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/52528 and 107\/6566?\nAnswer: 52528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -338 times -51115?\nAnswer: 17276870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918 = 3*f + 3*f. Let r = f - -79. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -458 - -461. Suppose -50*s = -48*s - x*n - 274, 0 = -n + 2. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.3 (c) -6089 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 4. Let m(d) = d**3 + 6*d**2 + 6*d + 1. Let z be m(-5). Let l be 4\/(2 - 6)*-5. Let x(j) = -3*j**2 - 5. Calculate l*n(w) + z*x(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 6*a - 5. Let u be r(-6). Let l be ((-8)\/20)\/(32\/80). Let j be (-36)\/(-6) + l + -9 - -6. Sort j, 0, u in ascending order.\nAnswer: u, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100759 - 1895?\nAnswer: -102654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -158211, -632813, -1423817, -2531223, -3955031, -5695241?\n\"Answer: -158201*h**2 + h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = 2*z - 12, -5*z + 8 = -2*a. Suppose 7*x - 20 = 2*x, p - 5*x + 12 = z. Calculate the remainder when 30 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 2 y when four letters picked without replacement from {r: 4, i: 3, l: 4, t: 1, y: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*w - 206*w + 391*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/88 and -29\/49203432?\nAnswer: 541237752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 425 + 3?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssws. What is prob of sequence sw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 - -2) + 4. Let x = n - 10. Is 12\/x*(1 + -13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 4 = 2*g, 2*c - 16 = 4*g. Suppose c*a - 24 = -4. Suppose a*u + 278 = 7*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 3048 = 5*w + 2997, 2*k = -5*w - 37 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93.15 + -3.35. Let u = -96 - y. Let o = 83\/3 - 28. Sort o, -1\/7, u in descending order.\nAnswer: u, -1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 22 = -5*g - 3, 25 = 4*s - 5*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 73, 74, 75?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 + 0 = -2*p, 2*p = 4*g + 10. Suppose -9*a = -g*a - 5454. List the prime factors of a.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*j**3*q*z - 2*j**3*q - 75*j**3*z + 2*j*q*z wrt q?\nAnswer: 20*j**3*z - 2*j**3 + 2*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 4*i + 1162 - 1233, 12*u = -5*i - 106 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1782\/7, -5, 1, -1\/4 in increasing order.\nAnswer: -1782\/7, -5, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-156)\/(-15) - (-2)\/(-5). Let n be (-2)\/d*10\/8. Sort 0, 2, n, -0.4 in increasing order.\nAnswer: -0.4, n, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -255*h + 1549. Let w be o(6). Calculate the greatest common divisor of w and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 1329 + 1568. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 727, -1\/20, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33279131 + 19479131. What is u rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/7 + 88*p**4 + 54416*p**3\/7 + 207936*p**2\/7 - 112597344*p\/7 - 450389376\/7 = 0.\nAnswer: -114, -4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 + (96\/56)\/((-50)\/(-525))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1071519 divided by -357173\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, t: 7}. Give prob of sequence bbt.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1422 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 11180, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 + o**5\/20 - 5*o**4\/24 - 2*o**3\/3 - 19*o**2. Let n be i(2). Solve -11 - 1 = -n*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/d**(-2\/63)*d)\/d))*(d\/((d*d**(-21))\/d))\/d)**(-1\/49) assuming d is positive.\nAnswer: d**(-1388\/3087)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034 (base 5) to base 10.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 27. Suppose -2*v - 3*z = 2*v + 627, -2*v - 307 = -5*z. Let j = v + 174. Calculate the greatest common divisor of j and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -11 - -174 - 42\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1251151 + 1131?\nAnswer: -1250020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwiwmwwmwwwiwwww. What is prob of picking 1 i and 1 m?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 9*u + 6*u + 73 = -10*l, -l - 12*u + 9*u = -1 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 396\/24*(-2)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47682648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -226 + 513. Let o = b - 12627\/44. Is o != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 243790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f. Let d(z) = -z. Give 4*d(k) + s(k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 13*d + 12*d = 31, -185 = d - 174 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 0.1, 0.36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + (sqrt(27) - sqrt(3)) + (1 + (sqrt(3) - (sqrt(12)\/sqrt(4) + sqrt(3)) - sqrt(3) - sqrt(3)))**2 + sqrt(3) + -1.\nAnswer: -3*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403\/(-3627)*81\/(-180).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 14*q - 24. Let f = q + 3. Let c(h) = -5*h**3 - 3*h**2 + 9. Is c(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363724044*f**3 + 16*f**2 + f + 1083038 wrt f.\nAnswer: -2182344264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503261135 divided by -5.\nAnswer: -100652227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 95324.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -26. Let h = r + 1.3. Let b = 1.5 + h. What is the second smallest value in -5, 0.05, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 15*r - 42. Suppose -60*g - 61 - 779 = 0. Give p(g).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x**3 + x. Let p be t(-1). Which is the biggest value? (a) -0.4 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243) + -1 + -2 - (0 + sqrt(108)*1 + sqrt(108)))**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652, 693, 756, 841, 948, 1077, 1228?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9 + 4*m + 23 - 10.\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 307716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -183*t - 75957. Give s(-415).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/4406400 - -13774414093\/4842633600. Let h = n - -2\/157. Solve 0 + 2\/7*b - h*b**2 = 0.\nAnswer: 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 19 = 5*i, g + 2*i + 2*i = 14. Suppose 3*q - 72 = -5*d - 20, 4*q - g*d - 104 = 0. Suppose -3*m + 12 = -q. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d5 (base 15) to base 10\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 725, 1451, 2177?\n\"Answer: 726*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 9. Calculate the remainder when 34 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26225713 to the power of 1\/2, to the nearest integer?\nAnswer: 5121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 16 - 16 = 0. Is 144 + 0 + (o - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) 3\/7 (d) -5 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15051 divided by 5.\nAnswer: 15051\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o - 294*o**3 - 2*o**2 - 43\/15*o**5 - 32 - 161\/2*o**4 - 1\/30*o**6. Factor l(w).\nAnswer: -4*(w + 1)*(w + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = j - 14*z + 2, -2*j - 4 = -2*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -879\/284 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15*q**2 + 7*q + 3. Let i be a(1). Sort 0.6, -0.1, 4, i.\nAnswer: i, -0.1, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 65. Suppose -5*q + 15 = 2*x + 5, x - 4*q = 5. Suppose x*z = -d, -8 = 2*z - 0*z. Calculate the remainder when d is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkkkkbbkkbg. Give prob of sequence kbbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by -29?\nAnswer: 98\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 91998\/8 - (-1)\/4. Round x to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5\/9 - 5266*q**4\/3 - 24190*q**3\/3 - 15724*q**2\/9 + 53629*q\/3 - 6310 = 0. What is q?\nAnswer: -3155, -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517 = 5*o + p, 6*o - 2*o - 5*p - 431 = 0. Calculate the highest common divisor of o and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0*v**3 + 1\/6*v**4 + 2*v + 0 + 0*v**2. Let a(j) = -44 + 44 - 2*j. Calculate a(n(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 + 8*m - 4. Let g be h(-8). Put 25, g, -3 in increasing order.\nAnswer: g, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 3. List the prime factors of a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -600 + -33410055?\nAnswer: -33410655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37948011*b**5 + 38925213*b**4 + 2731271202*b**3 - 70350132*b**2 + 603912*b - 1728 = 0. What is b?\nAnswer: -8, 2\/233, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 3014.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1129*u**3 + 17*u**2 - 22*u + 4. Is 11 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + (-1 - 7) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1200 and 45840?\nAnswer: 229200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373324.\nAnswer: 2, 7, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47904 and 8736864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 204\/119*14\/2. Suppose v + 0 = 3. Suppose 0 + y = -4*p - b, 0 = 2*p - v*b - 8. Put -7, p, 0.2 in descending order.\nAnswer: 0.2, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*t - 42*t - 5*t**3 + 2*t**3.\nAnswer: -3*t**3 - 225*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usgugggggggsg. Give prob of picking 1 s and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((840\/49)\/10)\/(2\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s - 62530 = -62*s. Calculate the greatest common factor of s and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 2*u**2 + u**4 + u**2 + 3*u**4 + 0 + 0 + (-3*u + 3*u - 2*u)*(214*u**3 + 109 - 109).\nAnswer: -426*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/120 + o**5\/60 + o**3\/6 - 3*o**2. Let f be y(0). What is the first derivative of f + 2 + 1 + 8*m**2 - 11*m**2 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4926*q**2\/7 + 5546*q\/7 + 620\/7.\nAnswer: 2*(q + 1)*(2463*q + 310)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-36*6\/(-864)*(-8)\/1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -3 - (-7 + -24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31097 divided by 11.\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 2, w: 5}. Give prob of picking 2 w, 1 p, and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.218 + 0.068. Let k = 6.15 + -6. Let j = k + l. What is the biggest value in -0.5, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 555 = 3*q + 2*k, -4*k = -3*q + 555. Let z = 231 - q. Calculate the remainder when 163 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, e: 1, n: 1, u: 3}. Give prob of picking 1 u and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/((8 + (-106)\/16)*48\/2904)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7403*g**2. Let o(q) = q**2. Determine b(o(p)).\nAnswer: -7403*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19264275 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + f - 6*f - 5, 0 = -4*f - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9589 divide 747714284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16*10*60\/(-25))\/(-5)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*o - 7782*j**2 - 2*j*o*s + o + 144*s - 1 with respect to j.\nAnswer: -4*j*o - 15564*j - 2*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 27 = y. Let b be 6\/y - 3779996\/6. What is b rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-12)\/((-14)\/7) + -8). Is -6\/1319 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/31)*x**48)\/(x**23*x**3) assuming x is positive.\nAnswer: x**(712\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370483356 by -1311.\nAnswer: 282596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6278 is divided by 3070.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 209*z**2 + 1. Let k be o(1). Suppose -5*d - 60 = -k. What is the greatest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/7 + 10*f**2\/7 + 12*f\/7 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/2, -1326, 0.22, 1 in decreasing order.\nAnswer: 3\/2, 1, 0.22, 0, -1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-55) - 146\/10. Let p = d + 38. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.03 + -49. Round a to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3956.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/24 + b**3\/2 - 3*b**2. Let y be u(5). Solve 0*k - 5*k + y = 2*v, v = k - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (-3*sqrt(240) + sqrt(240) + sqrt(240) - sqrt(240))\/sqrt(6))\/sqrt(8).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 6*y - 125988. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/((-29)\/5*-5)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8*0.07794\nAnswer: -0.62352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 161356?\nAnswer: 322712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 - (1 + -39 + (-20 + 35 - 13))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-77) + (-350)\/(-11). What is the tens digit of x\/3*45\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 126\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1129 in -8\/3, 5, -4, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2400))\/sqrt(12).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0.6000333. Round j to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 168*x**4 + 102*x**4 + x + 83*x**4 + 2 + 2*x**3 to the form v*x**3 + f*x + y*x**2 + m + l*x**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, i: 3, p: 2}. What is prob of sequence iipi?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.83419 to the nearest integer.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from mmjjmmfjmjcfjjjjmmz?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475362 is divided by 475362.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c. Suppose -10 = -2*q - c*q. Solve 0 = z - 5*w - q, -3*w = 3*z - 7 - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*q**2 + 0 - q - 1\/2*q**4 + 9\/4*q**3.\nAnswer: -q*(q - 4)*(q - 1)*(2*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2396 - -2379.09. Let f = s + 82.93. Let c = f + -66. Is 3 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 48971.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2041310 and -7.\nAnswer: -14289170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 2.02. Let o = -40.2351 - 0.0649. Let w = o + 40. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*k**4 - 2*k**3 - 2*k - 88?\nAnswer: -1788*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-108)\/(-63))\/(0 + 1)*(-189)\/18. Is p greater than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 9, 32*v - 29 = 27*v - 6*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/((s\/s**(-1\/9))\/s))\/s*s))\/(s\/s**(2\/7))*s**0*s**(-4) assuming s is positive.\nAnswer: s**(-290\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*t**5 - 2864*t**2 + 493*t**5 - 14394*t**4 + 14394*t**4 wrt t?\nAnswer: 33540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**6\/f))\/(f*f*f*f*f**3*f))**(26\/9) assuming f is positive.\nAnswer: f**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 365000000 rounded to the nearest one million?\nAnswer: 365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 35 + 43 = 4*g, -3*g + 3*z = 12. Solve g = b + l + l - 3, 4*l = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(95\/380).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/11)*g*(g**(-2\/15)*g)\/g*(g**(-1\/3))**(1\/6)*((g*g\/g**(-6))\/(g*(g*g**1\/g)\/g))\/((g\/g**(1\/6))\/g*g*g**4*g) assuming g is positive.\nAnswer: g**(1069\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 87, 195, 357, 579, 867?\n\"Answer: i**3 + 18*i**2 - i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12349 and 3728?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5626 + -5626. Let q(a) be the second derivative of -7*a**2 + 0*a**3 + 0*a**4 + 21\/20*a**5 + b + 17*a. Differentiate q(h) wrt h.\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) -2\/5 (c) -8 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 take away 0.053?\nAnswer: -603.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 65*g**3 + 65*g**3 - 4*g**2 + 66*g**3 - 196*g**3 - 2*g**4 + 73*g to p*g**2 + d*g + f*g**3 + a*g**4 + n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173304 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 19*p**2 + 39*p - 32. Let y(i) = 7*i**2 + 14*i - 11. Give -4*l(b) + 11*y(b).\nAnswer: b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*q**3 + 41*q**4 + 39*q**3 + (0 - q**2 + 0)*(0*q**2 - q**2 - 3*q**2) + 15*q**4 - 9*q**4 - 9*q**4 as g*q**3 + j*q + b + o*q**2 + i*q**4 and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14) - (sqrt(126)*1)\/sqrt(9)) + sqrt(224)*6)*-6)\/(6*-6*sqrt(1008)*-4).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.057691 to the nearest integer.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13523, 13510, 13483, 13436, 13363, 13258, 13115, 12928?\nAnswer: 12691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1490, -2143, -2796?\n\"Answer: -653*w - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18269912?\nAnswer: 2, 23, 31, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*l - 18*l + 19*l)*((-5*l**2 - l**2 + 3*l**2)*(1 - 1 + 1) + l**2 - 2*l**2 + 2*l**2) to k*l + u*l**2 + t*l**3 + o and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 755318 divided by 118?\nAnswer: 6401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-560)\/980)\/((-2)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2\/21, -2\/9 in descending order.\nAnswer: 2\/21, -2\/9, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:18 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7656 (base 9) to base 16\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 0*i**2 + 0*i + 0*i - i**2 + 3. Let c be l(3). Let y = c + -2. Put y, -2, 2 in descending order.\nAnswer: 2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 6*n**2 - n - 1. Let a be k(-6). Suppose -3*f - 18 = -a*f. Calculate the remainder when 17*(1 - (1 + -1)) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.3 (c) -1\/3 (d) 17\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36518*w**3 - 73045*w**3 + 4*w**2 + 36529*w**3 + 9 + 3*w - 3*w - 2*w**3 + (2*w**2 - 2*w**2 + w**2)*(5 - 5 - 2*w).\nAnswer: -2*w**3 + 4*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92435667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjtt when four letters picked without replacement from jtjtjjt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 14 (b) -0.07 (c) 2 (d) 8 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 times 14580.9?\nAnswer: -8106980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.352039 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/11 - 171638*q\/11 + 7364900761\/11.\nAnswer: (q - 85819)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -103*k + 45*k + 11 + 29*k - 125 + 3*k**2. What are the prime factors of m(23)?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 3*n - 2. Let i be h(-3). Is i\/(7\/((-1827)\/6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-33)*1*-2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 3, u: 2, n: 4, y: 1}. What is prob of sequence hoyh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 4, v: 2, b: 4, d: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 48*r - 103. Let x be g(18). Solve 0 = 4*k + 4*n - x*n - 20, 0 = k + 5*n + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 4673542270.\nAnswer: 4673542273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*q**2 - 497*q**2 - 372*q**2.\nAnswer: -195*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3185 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7638 + -2802. Suppose 0 = 7*u + 5*u - k. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(171) + -1)**2 - sqrt(152)\/(1*sqrt(128))) + -1.\nAnswer: -861 - 115*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001620795 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43942676471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let t be 2 - (-4 + 2 + 2). Let l(u) = -2*u - 3*u + 2 + 4*u - 2*u. Calculate t*b(q) + l(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92955?\nAnswer: 3, 5, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*p + 5*u - 47 = 281*p, -3*p + 3*u - 30 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j + 21. Let f be u(-6). Let q be f\/(-20)*(-6)\/9 - -1. Which is the closest to q? (a) -2\/9 (b) -1 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q. Let y(h) = 127*h**2. What is m(y(t))?\nAnswer: -508*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 39*r**2 - 28*r - 857. Is z(-62) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -13*q - 2. Let v(r) = -r**3 + 53*r + 9. Give -9*t(d) - 2*v(d).\nAnswer: 2*d**3 + 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285457 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1230?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -4, 2, 6, -24\/7, -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 42833?\nAnswer: -42837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 0*o + 950 = -5*o. Calculate the highest common factor of o and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, -36, -230, -606, -1224, -2144?\n\"Answer: -10*f**3 - f**2 + f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/((a\/((a\/(a\/(a**22\/a)))\/a))\/a*a)*a*a)\/a*a\/a**(-13))\/(((a\/a**(6\/5))\/a)\/a*a)**(-40))**(2\/9) assuming a is positive.\nAnswer: a**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 938911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/29, 24, 0.01?\nAnswer: -11\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.33 from -241.9.\nAnswer: -235.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443411556 less than 8?\nAnswer: 1443411564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -465?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -62\/2907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 3)*(-1792*u + 61*u - 414*u)*(2*u + u - u) to j*u**2 + b + i*u and give j.\nAnswer: -21450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113180009159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5379 - -5381. Let k be 3 - 1*(1 + -2). Solve o*q = k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24*(-10)\/450)\/(2\/(-3)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -602 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/7, -17, 127?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1574884, 6299560, 14174024, 25198276?\nAnswer: 39372316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -3 + 7 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5889*i - 5855*i - 1700 = 0. Suppose 3*g + 5*q = 590, -2*g - 2*g + 785 = 5*q. What is the remainder when g is divided by i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 104*z + 719 + 204 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*m**4 - 3)*(-2*m - m + 0*m - 3 - 2*m + 3 + (0*m + 0*m - 2*m)*(2 + 1 - 5) - m - m + m + 53*m + 56*m + 51*m).\nAnswer: -474*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 838 (b) -0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 1, -54543.\nAnswer: -54543, -47, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 96 = 3*m, -2*m + 69 = 4*h + 5. Suppose 2*o - 3 = -4*l + 15, l - m = -3*o. Let s = -15 + o. Let q(a) = a**3 + 5*a**2 + 4*a + 3. Calculate q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*x**3 + 9 - 24*x**3 - 8.\nAnswer: 101*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 15*d**2 + 16*d + 14. Determine b(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 162 + 35 = -15 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w - 56*w - 118*w + 219 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i + 4*t - 8, 5*i + 5*t - 5 = 0. Put i, 0, -3, -4 in descending order.\nAnswer: 0, i, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/11730 and -50\/391.\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 483 + 329. Let p = -183 + l. What is the remainder when (-1)\/(-3) - 340\/(-6) is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54157815 divided by 5.\nAnswer: 10831563","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927041.\nAnswer: 3, 41, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gapdj. What is prob of picking 2 g and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3360 - -3377. Solve -n*m - 1 = -16*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 149*r - 3. Let x(k) = -37*k + 1. Let z(f) = -b(f) - 4*x(f). Let p = -5 + 8. Let h(d) = -5 - 3*d - 2*d + p*d. What is h(j) - 6*z(j)?\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*r = -28 + 76, -f + 4*r + 9 = 0. Let k = f - -11. Let g(v) = v - 9. Give g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -110, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 6, z: 3, u: 3}. What is prob of picking 1 t and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 4*n**2 + 3*n + 3. Let c = -2 - -5. Let j be d(c). Suppose 5*v - 2*a = 25, 0 = -4*v + 2*a - j*a + 33. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -2, 11, 44, 103, 194?\n\"Answer: d**3 + d**2 - 11*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176377*t**4 - 2*t - 352742*t**4 + 176509*t**4 - 1688 wrt t.\nAnswer: 576*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558538 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: How many millilitres are there in 95.23225l?\nAnswer: 95232.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/4, -0.068, -1, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10125 divided by -5\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*z = -366*z - 2065*z - 161915 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0 + 0 - g. Let f(i) = 7*i. Let h(s) = 41*s. Let m(q) = -21*q. Let o(k) = -6*h(k) - 10*m(k). Let y(v) = 16*f(v) + 3*o(v). Calculate 6*j(p) + y(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 13024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 + 4*k**2 - 30*k - 6. Let y(q) = -6*q**3 + 4*q**2 - 33*q - 7. Let a(h) = -7*b(h) + 6*y(h). Factor a(l).\nAnswer: -l*(l - 2)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29550023 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((3\/(-1))\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 15*n - 24. Suppose -12*v + 18*v = 78. Let u be z(v). Does 9 divide u\/(18\/735) - (-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = 2. Suppose -5*c + 25 = 0, f + c - 4 = 3. Suppose -i + n = -0*i - 7, 0 = 3*i - f*n - 16. Put 4, i, d in increasing order.\nAnswer: d, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (-7 + 6 - 77)) + (-1 - -63).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1140384 and 896.\nAnswer: 4561536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.0092 and 1?\nAnswer: 5.0092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose 3*y + 10 = 5*y - 2*h, 3*y - 2*h - 10 = x. Let t(o) = -3*o**2 + 38*o - 115. Let a be t(7). Solve -j = -4*r - 19, a = -r - y*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2. Let b(h) = 0*h**2 + h**2 - 6*h**2 + 6*h**2. Calculate b(v(o)).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3978 is divided by 85?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -25*f**2 + 100*f + 4. Let g be c(4). Solve y + 8 = 2*n - 4*n, g*n + 30 = 5*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 + 6*g**2 + g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:33 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/152 and 23\/96900.\nAnswer: 193800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4393991 is divided by 669?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*a - 6, 4*r - 1 = 2*a + 5. Let d(c) = -7*c**3 + 6*c**3 + 4*c**a + 2 + c**2 + 17*c**3 + c. Is d(2) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - g + 7. Let d(r) = -r**2 + 3. Let a(q) = -5*d(q) + 2*m(q). Suppose k - 5 = -0*k. What is the remainder when a(-3) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033 (base 6) in base 11?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 1 a when three letters picked without replacement from aalaauuhaal?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**2 + 2*o + 4. What is the least common multiple of g(10) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:08 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*k + 13 - 37, 5*k + 12 = 2*c. Suppose -11 = -a - 2*n, -n = 3*a - c - 12. Solve 5*x + a = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = p, 3*t + 5 + 10 = -3*p. Let l(q) = -q. Let d(u) = 1. Calculate p*d(a) - l(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 8. Let s be k(18). What is the third derivative of 3*v - 3*v + 8*v**5 + s*v**2 wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093*t + 6076*t + 106*t**3 - 317*t**3 - 1894*t - 2089*t.\nAnswer: -211*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -205.7*17\nAnswer: -3496.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 22619, -2 in descending order.\nAnswer: 22619, -2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2548*n**3 + 806*n**2?\nAnswer: 15288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(156))\/((-1*sqrt(60))\/sqrt(5)) + 4.\nAnswer: -6*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/7 + 5913*p**2\/7 + 95184*p\/7 - 3528573996\/7.\nAnswer: -3*(p - 1322)**2*(p + 673)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxxyyyyxyyyyyy. What is prob of picking 2 y?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76493, -152981, -229471, -305963?\n\"Answer: -o**2 - 76485*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -53*k - 5443 - 5474 + 10917. Let q(p) = -63*p**2. Calculate b(q(y)).\nAnswer: 3339*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*a - 918 + 918 as w + b*a and give b.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 6*h - 11*h - 85, -17*b + 5*h = -16*b - 85 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 14*v**2 - 7*v + 17. Let l be s(-14). Let j(x) = -15*x + 18. Let f be j(-4). Let u = l - f. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 162188884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 74, 109, 144, 179?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3538, -4 in decreasing order.\nAnswer: 11, -4, -3538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:33 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 110 = 24*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121*k**6 + 6*k**2 + 6*k?\nAnswer: 14520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 195939, 195943, 195947, 195951?\n\"Answer: 4*j + 195935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acmdq. What is prob of sequence dcaq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyypypyypp. What is prob of sequence yp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -275621742 rounded to the nearest one million?\nAnswer: -276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-7)\/((-84)\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 1\/525*p**7 + 0 + 0*p**3 + 1\/150*p**6 - 1\/840*p**8 + 0*p**5 + 7*p**2 + 0*p + 0*p**4. Factor o(f).\nAnswer: -2*f**3*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54569\/(-1662) + (-169)\/78?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 24873642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(245) + -3))**2.\nAnswer: -882*sqrt(5) + 2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -18*g**3 + 7*g**2 - 19. Let k(d) = -9*d**3 + 3*d**2 - 10. Let q(n) = -3*b(n) + 7*k(n). Find the first derivative of q(m) wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86843*m**2 - 86837*m**2 - 86832*m**2 + 434193*m**2 - 86835*m**2 - 86838*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*c + 124. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t\/(t\/t**(7\/4)*t))))\/t)**(-3\/44)*((((t**(-1\/15)\/t)\/t*t)\/t)\/t)\/t**(-4\/5) assuming t is positive.\nAnswer: t**(-6119\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(3\/((-30)\/(-5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17325 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (70\/(-20))\/((-2)\/4). Let p = k - 4. Solve 0*h - 7 = -5*l - 2*h, 2*l + p*h = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-18) + (-2)\/(-9). Let r = -0.1 + -3.9. Let i = -271.5 + 271. Which is the closest to k? (a) i (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.2 - 12.1. Which is smaller: x or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.475766 to 0 dps.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -2*z**5\/5 + z**4\/6 - z**3\/6 + z. Let y = -3 + 3. Suppose y = -p - 4 + 5. What is d(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66294593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 61. Let s = n + -59. Let y = 66.9963 + s. Round y to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 79 = 193. Suppose -x = -5*p - 19. Let i = p + 12. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26530*b - 1308 = 26748*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 13*f**2 + 69*f - 149. Let x be o(6). Let j be (1 + -1)\/(-1 + 3). Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18095.0160455 and -1.9.\nAnswer: -18096.9160455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:12 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3))**10 assuming h is positive.\nAnswer: h**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Suppose -2*w - 6 = -5*w. Let u = -22 + 22. Let l(b) = u*b**2 + 0*b**w + 4*b**2. Calculate l(j(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -4082.\nAnswer: 10\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(384) + -3*sqrt(384))*-2)\/(-3*(sqrt(12) - sqrt(12)*3)*-5).\nAnswer: -32*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -285 + 285.027. Let c = u + 0.013. What is the closest to -1 in 0.5, 0.4, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28471*j + 0*j**2 - 28471*j - 7*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 1\/16 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1668474990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (5 - (-2 - -2)). Let x = 1 - w. Calculate the remainder when x is divided by 1\/(4\/(-6) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 24*v = 21*v - 1311, 0 = 5*g + 4*v - 1662. Put g, 5, 4, -1 in increasing order.\nAnswer: -1, 4, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 0 = 2*w, 3*w = 2*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2244557 and 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 43 - 2*r**3 + 3*r**3 - 48 - 6*r + 2*r**2. Let i be f(-3). Suppose 7400000 = 5*m - i*m. What is m rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 5001200242?\nAnswer: -5001200304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4046 is divided by 503.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/3 (b) 0.16 (c) -7 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383, -78, -1493, -4336, -9081, -16202, -26173, -39468?\nAnswer: -56561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = -0. Suppose -x*q + 28 + 0 = 0. What is the lowest common multiple of 8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 5 - -1) + 5 + -54 + 33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -4397095.5\nAnswer: -4397095.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {j: 7, k: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*i - 759 = -145*i - 4*j, 4*i - 2946 = 2*j. Sort -4, 4, i in descending order.\nAnswer: i, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*p - 270, 0 = -3*u + 8*p - 5*p + 162. Suppose 17*r + u = 11*r. What is the units digit of -3*(24\/r + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(1 - 15\/9). Suppose 3*u = -4*l + 227, -3*l = m*u - 120 - 33. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -588 - 5be?\nAnswer: -b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -15*d. Let u(x) = 38*x + 1. Determine u(a(g)).\nAnswer: -570*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27608287 is divided by 423?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/7, -15, 631 in decreasing order.\nAnswer: 631, 4, -3\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.36 - 96.4. Round p to zero dps.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 92822918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12468 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20660 - -4462. Is 158 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 2*q + 5*q)*(-2*q + 0*q + 4*q) + (-4*q + 0*q + 3*q)*(-q + 5 - 5) to the form n*q**2 + v*q + k and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213\/1115 - 2\/223. Let c = -15.21 + 0.21. Let n = 14.5 + c. What is the nearest to i in 0.3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*2\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.6, -4, 6\/5 in ascending order.\nAnswer: -4, -1, -0.6, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -450837 + 638592. Is (2 + -6 + 7)\/(45\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 10*k**2 - k - 2. Let t(o) = 10*o. Let l be t(-1). Calculate the smallest common multiple of r(l) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.59?\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1275073\/44 + -28977. Calculate the common denominator of u and 121\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1918 divide 935111548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -4. Suppose -5*s + 8*i = 5*i - 6, -2*i + 6 = 0. What is the closest to -1\/14 in -2, s, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57236, -57071, -56906?\nAnswer: -56741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 238620, 477253, 715898, 954555, 1193224, 1431905, 1670598?\n\"Answer: 6*d**2 + 238615*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31\/15 + -12\/5. Let d = -74 + 73.9. Which is the closest to -2? (a) d (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(((sqrt(242) - ((sqrt(242) - (1*sqrt(242) + sqrt(242))) + sqrt(242) - sqrt(242))) + sqrt(242))\/sqrt(11))\/(sqrt(704)*-2))**2.\nAnswer: 73\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3684.235 millilitres to litres.\nAnswer: 3.684235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*s + 4, -3*s - p - 8 = 3*p. Let j = s - 18. Let c = j - -23. What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 1.3. Let s = j - -5.1. Sort 0, 2, s.\nAnswer: 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13659*k + 13655*k = -35*u - 1882, 2*k + 4*u + 220 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30319 + 60583 + 2*s**3 - 30264.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 6\/13 (c) 206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 105 (b) 0.1 (c) 0.2 (d) 3\/2 (e) 4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h)**(-4\/21))**(41\/5)*((h**(-1\/4))**(17\/2))**(-17) assuming h is positive.\nAnswer: h**(32969\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a - a = -36378. Let l = a - -1299. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + i**3 + 144 + 103*i.\nAnswer: i**3 + 103*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -610\/159?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 36312*c + 1818093. Give t(-50).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23133203 (base 4) to base 8\nAnswer: -133743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-15) + (-42)\/(-20). Let k be (-110)\/30 + (-1)\/3. Sort 1, o, k in decreasing order.\nAnswer: o, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1175 - -3.8825. Put 1\/18, 0.5, x, 1 in decreasing order.\nAnswer: x, 1, 0.5, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**3 - 7*a**2 + 15*a + 30. What is the tens digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83626276 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752) + 2*sqrt(4752))\/(-2*sqrt(99))*3)**2*-5.\nAnswer: -4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldt when three letters picked without replacement from dddttltyttttlllyl?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let c(f) = -16*f**2 - 18*f**2 + 33*f**2 - 48 + 10. Give c(a(d)).\nAnswer: -d**4 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 + 9383?\nAnswer: 9312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21135172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (-2204)\/(-10). Suppose 2*y = -b + 2112, -b - t - 1888 = -2*y. Suppose -5*f + y = -0*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/9))**(6\/11)*(d*(d\/(d*d*(d**(-36)\/d)\/d*d))\/d*d)**(-2\/3) assuming d is positive.\nAnswer: d**(-788\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 651 = -1729. Suppose 8*l - x = -20*l. Solve -3*b - 9 = 3*r - 36, -25 = -l*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8009 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: What is 162 divided by -108?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41339839 to the power of 1\/2, to the nearest integer?\nAnswer: 6430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103694059, -103694058, -103694057, -103694056?\nAnswer: -103694055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*4\/(-252) + 3948\/1890.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2\/5 - 63840756*f\/5 + 339636843887628\/5 = 0.\nAnswer: 10640126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4))\/u**(6\/19))\/(u**(-3\/7)\/u**(1\/19)) assuming u is positive.\nAnswer: u**(687\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 4. Let k(c) = -2*c - 20. Let p be k(-5). What is the units digit of t(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1872) + -1)**2 + sqrt(1872) + sqrt(1872)*2 + 1 + (-3*((sqrt(637) - sqrt(637)*2) + -5))**2.\nAnswer: 642*sqrt(13) + 7833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -831, -866, -897, -924, -947?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1945, -0.11, 2\/53?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 4*q**2)*(-5*q**3 + 2*q**3 + 5*q**3) + q**5 - q**5 - q**5.\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 + -51 + -16 + -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10\/9)*w\/w**17*(w*w*w*w**(3\/5))**(-33) assuming w is positive.\nAnswer: w**(-6116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11 = 3*q, -4*q - 17 = -75*n + 72*n. Solve 3*t - n = y, -2*t - 2*t + 20 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j**2 + 28*j - 30 - 21\/4*j**4 + j**3. Differentiate n(i) wrt i.\nAnswer: -63*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4 (b) 2\/9 (c) 1\/7 (d) -1\/6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + 2*s**4 - s**4)*(326*s - 1142 + 1142 + (0 + 0 - 2*s)*(-2 - 2 + 2)).\nAnswer: 660*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2308.245.\nAnswer: 4616.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 10\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -182750*s - 26316004. Give d(-144).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203206476 by 5676.\nAnswer: -35801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -441 - -497 - (2 + -18)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 2\/3 (b) -27 (c) -127 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -205.8 * 0.09172.\nAnswer: -18.875976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867709653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - -0.02. Let j(o) = 15*o - 14. Let y be j(1). What is the biggest value in -3, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*v + (1 - 3 + 3)*(-3*v + v + 0*v) + 2*v - 6*v - v + v - 2*v - 2*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 8. Let y(q) = -2*q + 2. Let c(n) = 2*s(n) + 5*y(n). Let u(l) = 3*l + 5. Calculate 4*c(a) + 5*u(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -697, 6, -1.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 586*a - 4620. What is y(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2312)\/210 - 14*1\/105. Is -12 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9342782?\nAnswer: 2, 43, 108637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9c0248 (base 13) to base 4\nAnswer: -32003212133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (-2 + 8 + 1)*(2 + 0 - 3) - 1 + 1 - 1)*(1 - 3 + 0)*(-24 - 5*r**3 + 24).\nAnswer: -70*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 - 10598*w**2\/11 - 10600*w\/11.\nAnswer: 2*w*(w - 5300)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -968 divided by 1486\nAnswer: -484\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 64 = 16*v + 62*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1785 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2483 and 382?\nAnswer: 4966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3925, -7893, -11905, -15961?\n\"Answer: -22*r**2 - 3902*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*f**5 - 296*f**4*h**3 - 2*f*h**3 + 2*f*h**2 + 255*h**3 - 22*h wrt f?\nAnswer: 1100*f**3 - 3552*f**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 179064860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 74 times -56\nAnswer: -4144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:00 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5421, -9298, -13189, -17100, -21037, -25006?\n\"Answer: -t**3 - t**2 - 3867*t - 1552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205970 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/25 - (-1 - (-282)\/(-5)). Suppose s = -3*a + 15. Let p(w) = w**3 + 16*w**2 + 19*w + 2. List the prime factors of p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 4 - 1)*(-3*t**2 - 2*t**3 + 165 + 2*t**2 - 520) to the form b + x*t + r*t**3 + u*t**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5 - 9582*y**4 - 57567*y**3 - 105582*y**2 - 57600*y = 0.\nAnswer: -3, -2, -1, 0, 3200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 22653 = 22278 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25528 + -4c?\nAnswer: 254a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 3:42 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12503, -11756, -10511, -8768, -6527, -3788, -551?\nAnswer: 3184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(-36)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344 (base 6) in base 5?\nAnswer: -4233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*60\/(-18)*(-6)\/(-4). Let v be (-1)\/(0 + y\/10) - -8. Suppose -q + 3 = 2*q. Solve -q + v = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -127. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 + 3*u**3 - 4*u**2 + (2*u - 2 + 2)*(u**2 - 5*u**2 + 2*u**2) + (-16*u**2 + 8*u**2 - 24*u**2)*(69*u + 0*u - 2*u).\nAnswer: -2145*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let p = 2\/323 + 291\/5168. Which is bigger: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65491, 131759, 198041, 264343, 330671, 397031?\n\"Answer: r**3 + r**2 + 66258*r - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.2 and -3120865171.\nAnswer: -3120865168.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36396 - 36738 = -19*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25465 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 99\/5, 4, -2\/3 in descending order.\nAnswer: 99\/5, 4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.880166 + 67.8801776. Let l = 0.31 - 19.31. Let u = l + m. What is u rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 9*j**2 + 7*j. Give h(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + -109.749. Let n = -14357 + 14356.75254. Let l = n + y. Round l to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 464 - 294 = 0. Let s(i) = -i**3 - 35*i**2 - 35*i - 21. Let x be s(n). Calculate the highest common divisor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24395679163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0*u**2 + 0 - 1\/4*u**4 - 4*u + 0*u**3 - 1\/20*u**5. What is the third derivative of g(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/461292 and 39\/44.\nAnswer: 5074212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/50)\/(3*(-6)\/20). What is k in 0*k**3 + 1\/3*k + 2\/3*k**4 - s*k**2 + 0 - 1\/3*k**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 6*j - 2. Let w be y(-4). Let a(t) = -5*t - 4 + w*t - 2*t. Suppose 0 = 4*h + 2*b - 20, -b = -2*h - 0*b + 6. Give a(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - (-62)\/(-5). Let x = 1 - w. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f + 15. Let x = f - -21\/4. Suppose 3 = -3*h + 5*v, -5*v = 5*h - 0*h + 5. Is h equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -354.02617 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let s = -84 + 333\/4. Let w = -6.09 - -0.09. What is the closest to w in -4, s, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.141, 0.3, 2, 0.2, -1?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 9*w**2 + 13*w - 11. Let h(b) = 4*b + 2. Let d be h(2). Is t(d) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1401932853*y**5 - 1390125416*y**2 wrt y?\nAnswer: 84115971180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3042642*f**4 + 1609585?\nAnswer: 12170568*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 1. Let k be l(0). Let a = 9.519 + -9.636. What is the third smallest value in 0.5, a, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o + 1. Let l be f(4). Suppose -22 = l*s - 2821. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1390*b + 1391*b = 0. Solve 3*g - 5*m - 3 = 0, -2*g + 2 + b = 3*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**6\/14 - 3*x**5\/35 - 3*x**4\/7 + 4*x**3\/7 + 26. Find w, given that n(w) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 4\/3*z**3 - 4*z + 2\/3*z**4 + 0*z**2 + 0. What is the second derivative of k(v) wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/60 - 19*l**4\/24 + 17*l**3\/6 + 12*l. Let x(b) be the second derivative of i(b). What is the units digit of x(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78))\/sqrt(6) + (sqrt(13) + -3 - sqrt(13))*5.\nAnswer: -15 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -2\/3, 4, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (1180\/15 - 4). Suppose -6*h = -24, -3*o - 5*h + 13 = -34. Calculate the greatest common factor of w and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190\/(-285)*12\/(-32)*(-2)\/(-4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28943.29nm in centimeters?\nAnswer: 0.002894329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 98764628*t**2 - 395058560*t + 395058576.\nAnswer: 4*(t - 2)**2*(t + 24691161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l**2 + 10*l**2 + 5*l**2)*(28 - 18 - 70)*(-4*l + 4*l - 3*l) to the form i*l**3 + z*l + r + d*l**2 and give i.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) -4\/7 (d) -390066 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -557 (c) 32 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/2 - 51\/10. Suppose 4*m - 4 = 4*i + 4, -2*m = -i - 4. Is l smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 6*x**2 + 4*x + 4. Let v be r(6). What is the highest common divisor of v and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/8 + 2 + -2 and (2 + 2574\/(-36))\/(-18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/17, 5, -0.4, -6\/11 in increasing order.\nAnswer: -6\/11, -0.4, -1\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 5*v**6\/3 - v**3 + 3. Find the third derivative of j(l) wrt l.\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 59 = 5*d, -d = 5*c - 3*c - 48. Solve -2*s = c - 19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**4 + 369476*t**3 - 47983102*t**2 wrt t?\nAnswer: 96*t + 2216856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0424628 * 0.06.\nAnswer: -0.002547768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9084816 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6276, 12555, 18832, 25107, 31380?\nAnswer: 37651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13544361 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -248 - -a?\nAnswer: -23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -3. Suppose -12 = -j*y + 2*y. List the prime factors of ((-1)\/(5\/(-85)))\/(y\/16).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4545 rounded to two dps?\nAnswer: -6.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171859710.\nAnswer: 2, 3, 5, 11, 520787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -1. Let l = -1.8 - -1.7. Put 0.1, l, f in increasing order.\nAnswer: f, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llzuuuzuuuuullzl. Give prob of sequence zuul.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -6. Suppose 5*u - d = 12. Is 2 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 - 35180*u\/9 + 35182\/9.\nAnswer: -2*(u - 1)*(u + 17591)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101827637 is divided by 581872?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Suppose 2*x - 27 = -5*v, 2*v - 6*v + i*x = -36. Let d = -9 + 14. What is the smallest common multiple of v and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 81\/988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) + sqrt(2)*3*-5) - sqrt(133)\/(sqrt(35)\/sqrt(5)*5 + sqrt(7)).\nAnswer: -5*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 4, v: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/4 + 8429706*o**3 + 168594171*o**2\/4 + 67437675*o + 33718839 = 0 for o.\nAnswer: -2, -1, 11239613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -2\/15*g**3 + 0*g + 1\/10*g**4 + 0*g**2 + 28. Find w such that v(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 2*x + 2, 78*t + 54 = 76*t - 10*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -101*m - 2. Let z(k) = 19*k**2 + 35*k**2 - 85*k**2 + 25*k**2. Determine z(a(h)).\nAnswer: -61206*h**2 - 2424*h - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2320 = 7*t. Suppose 0 = -131*w + 127*w - t. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -4. Let z be (24\/(-20))\/(m\/10). What is the third derivative of -2*t**6 - 2*t**z + t**2 + 2*t**2 + 7*t**6 wrt t?\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j + 20 - 11*j**2 - 48*j + 51*j. Let p(f) = -4*f**2 - 5*f + 7. Calculate 17*p(c) - 6*v(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2720 divided by 32.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/11))\/u**(-3))\/((u*u**(-19))\/u**(-20)) assuming u is positive.\nAnswer: u**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53000049499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285251233.\nAnswer: 71, 4017623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.221 and -122.3.\nAnswer: -122.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 264)\/(-14))\/((-75)\/70 - 2\/(-28)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2010 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**3 + 0*u + 1\/5*u**4 + 0 + 1\/5*u**5 + 0*u**2.\nAnswer: u**4*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/15)\/((-6)\/(-15)). Suppose 0 = 3*l - 5*i - 21, 4*i + 20 = l + o*l. Solve -2*a = -l*n + 6*n - 8, -n + 2 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16875 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7519)\/1533 + (0\/(-3) - -3) and -62\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 203144793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3294181*g**2*j**2 - 56*g**2*j - 13963*g**2 wrt j.\nAnswer: 6588362*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 11251?\nAnswer: -11253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 226217 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 82 (c) -1023 (d) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + p = -1399, 4*k - 5*p - 1220 = 175. Is k a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 364*o\/3 + 496.\nAnswer: -2*(o - 4)*(o + 186)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:33 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.25, 1380 in ascending order.\nAnswer: 1\/5, 0.25, 1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 134 - 18\/30*5. Suppose -5*f + a = -1711, f - 3*a - 211 = s. Does 38 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-50) + (-2356)\/(-10). Let r = c - 232. What is the nearest to 3 in -2, 3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 263269, 174 in decreasing order.\nAnswer: 263269, 174, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Let x(l) = 15*l + 3. Let n be x(3). Suppose -3*g + j*c = n, -6*g + 2*g = -4*c + 60. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -448824 + -3?\nAnswer: -448827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 13\/2. Which is the closest to u? (a) 0.5 (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -4*m, -5*h - 5*m + 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 61.51, 8\/65, 1\/5 in increasing order.\nAnswer: 8\/65, 1\/5, 61.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 35\/(-5))\/(-11). Let i be (-9 - -1)*1\/2. Put i, 2\/17, c, 0.3 in increasing order.\nAnswer: i, 2\/17, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(2 + 1 - 2)*(-3 + 3 - 2703*z + 173*z + 30231*z) in the form p*z + j and give p.\nAnswer: 27701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7347299125.\nAnswer: 5, 58778393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + y**3)*(0*y - 3*y + 2*y) - y**4 - 1 + 1 - 5 - 11*y**3 - 10*y**3 + 19*y**3 - 2*y**4.\nAnswer: -4*y**4 - 2*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 5*i + k, -2*k - 3*k - 134 = -i. Suppose -4*g - 216 = -4*t, 2*t + 3*g + i = 4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:03 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 89*h = -228608. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -5. Let f(p) = p**2 - 14*p + 5. Let w be f(14). Is w < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 + -60. Suppose 0 = 8*d + 72 + h. Let i(c) = -4*c - 1. Let j be i(6). Is d greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89154 by -3.\nAnswer: -29718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86 and 18.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/126 and -163\/1344.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 19*n + 12. Let f(r) be the second derivative of -r**3\/6 - r**2\/2 + 12*r. Let g(y) = -4*f(y) + u(y). Is 19 a factor of g(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let p be -2*h\/2 - -1. Suppose p = 2*n - 3*y - 57, -2*n + 4*y + 54 = 2*y. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 13\/98 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -50127?\nAnswer: -50127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1476834734 and 0.1429.\nAnswer: -1476834733.8571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, c: 1, o: 1, r: 1}. Give prob of picking 1 v and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -219*i**3*r**2 + 10*i**3 + 324*i**2*r - 112*i**2 - 322*i - r**2 wrt r?\nAnswer: -438*i**3*r + 324*i**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + h + 4. Let y(i) = -2*i**2 + 19*i - 31. Let f be y(7). Calculate w(f).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-30)*(-2)\/(-7). Is -1 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.05 (b) -0.2 (c) 0.5 (d) 4\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5 + 72*w + 316*w + 203*w. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**6\/420 - 2*v**5\/105 - v**4\/28 - 5*v**2 + 8. Let w(a) be the second derivative of j(a). Factor w(k).\nAnswer: -2*k*(k + 1)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270852 = -49*n + 779659. List the prime factors of n.\nAnswer: 11, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 22 = -4*a, -3*k + 2*k - a = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x - 4*x - 5*x - 7*x - 4*x - 81*x**3 - 5 in the form d*x**3 + r*x + y + q*x**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.6? (a) 2 (b) 1\/3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*b + 443*b = -64. Let c = 0 - 1. Put b, c, 0 in decreasing order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.346 years in centuries?\nAnswer: 0.05346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242205 + -5?\nAnswer: 242200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1152161?\nAnswer: 1152160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 1. Let z = j + -0.1. Let w = -0.19984 - z. What is w rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 7*y + 5. Let j be c(4). Let i(r) = -2549*r - 246. Is i(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 46*d**2 - 143*d - 3. Let b(s) = 81*s**2 - 285*s - 5. What is 4*b(w) - 7*j(w)?\nAnswer: 2*w**2 - 139*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195378 a multiple of 1082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28823454?\nAnswer: 2, 3, 11, 149, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 656 - 660. Let n(a) = -3*a - 2. Let u(m) = 2*m + 3. What is r*n(y) - 5*u(y)?\nAnswer: 2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 216, 314, 396, 456, 488, 486, 444?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*-42*(-31 - (-156621)\/5049).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:08 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/9, -0.16, 0.4.\nAnswer: -6, -2\/9, -0.16, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = y + 29. Calculate the greatest common factor of 60 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 126*l**3 + 4*l**2 - 4*l + 1. Let w be j(1). Suppose -5*x + w = 2*k, 2*k + 0*x - 5*x = 137. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/12)*g*g**(-3\/13))**8)**25 assuming g is positive.\nAnswer: g**(5350\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79079 to 3 decimal places.\nAnswer: 0.791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.258 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/(-1) - (-23 - -29)) + 221 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 812 = -o, 2*x - 496 = 5*x + 5*o. What is the tens digit of (-1)\/7 - x\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5235)\/(-1047))\/((1 - -32)*(-7)\/21).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/10*(13108\/3190)\/113?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -3*q - 36. Suppose 106 + 4337 = q*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:40 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 5*f**2 - 14*f**2 + 5*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 37*o - 14. Let f = 5 + 4. Is p(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2, 6, 10109, 4, -4 in decreasing order.\nAnswer: 10109, 33, 6, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 at most as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 1 - (-3)\/1. Suppose 4*o - 6 = -2*z + 20, 0 = 3*o - 3*z - g. What is the highest common divisor of 40 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/(596\/78). Let v = -14323\/1490 + j. Find the common denominator of (-6)\/(-21) + 1555\/315 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -14. Suppose -4*g + l*g - 124 = 0. What is the remainder when g is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539\/(-147)*258\/29326?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -954800 rounded to the nearest 10000?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k + 5. Let b = 23 + -22.5. Let a = 40.46 + -40.5. What is the closest to -2\/3 in a, b, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 27*s + 427. Determine n(-27).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = 5*l + 200, -20 = -3393*c + 3390*c + 5*l for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 + 197*j - 15. Give r(-33).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65037 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (5 - 9 - -73) + -7 + 2?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 0*k**2 + k**2 + (3 - 6 + 1)*(5*k**2 - 2*k**2 + 0*k**2).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Suppose 0 = 2*x + 3*x - 10*x. Suppose -4*w + 12 = 2*j, -3*j = w - 13 - x. Put 2, j, -1, d in increasing order.\nAnswer: -1, 2, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*o**2*y + 781*k**2*o - 49*k**2*y**2 + 52*k*o**2*y**2 - 2*k*o**2*y + 2*k*y**2 - 2*k*y wrt y?\nAnswer: -98*k**2 + 104*k*o**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 551, 1103, 1655, 2207, 2759?\n\"Answer: 552*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -972421162, -972421161, -972421160, -972421159, -972421158, -972421157?\nAnswer: -972421156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + x + 4 = 3*a, -5*a + 28 = 3*x. What is the remainder when 15 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/23629900 and 29\/60?\nAnswer: 70889700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 788677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 35, 74, 147, 266, 443, 690, 1019?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 101 = r, 2*s = -3*r - 42 + 295. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4450)\/3115)\/((192\/190)\/16*20\/(-14)).\nAnswer: 95\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 201973 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 15*r**2 - 14*r + 6. Let z be m(-14). Let v = z - -18. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s**2. Let u(a) = -a**2. Let o(m) = k(m) + 8*u(m). Let v(r) = r. Determine o(v(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 14*z + 45. Let g be j(7). Let q(k) = -7*k - 16. Let x(n) = 6*n + 15. Let f(c) = 5*q(c) + 6*x(c). Let r be f(g). Solve -a + 4*a = r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 6*l + 9. Let h be n(-6). Let o = 14 - h. Suppose -5*c = o*j, j + 6 = c - 0*j. Let p(x) = -x**2 + 2*x + 1. Give p(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -130146*q**2 + 241802 wrt q.\nAnswer: -260292*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 85, 362, 843, 1540, 2465, 3630, 5047?\n\"Answer: 2*h**3 + 90*h**2 - 7*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 0 + 3 + 5*c - 5 - c**2. Let f be s(5). What are the prime factors of -3 - 1\/(f\/22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/120 + k**5\/30 - k**4\/12 + k**3\/6 - 6*k**2. Let g(d) = d + 2. Let z be g(-1). List the prime factors of j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3215 - -9319. Let n be x + -1 + -5 + 2. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2\/2 - 6*o - 2. Let h be t(-8). Suppose -2*y = h + 4. Put y, -4, -2 in decreasing order.\nAnswer: -2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from uufwuxuffw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595949?\nAnswer: 595949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -9836, 36 in descending order.\nAnswer: 36, -6, -9836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h - 3. Suppose 0 = -4*x + o - 32, 3*x + 7 = 5*o - 34. Let u be i(x). Sort -5, 3, u in descending order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**7\/840 + f**4\/6 - 4*f**3\/3 - 5. Let b(l) be the third derivative of z(l). What is the first derivative of b(r) wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, -3, 0, 4, 35 in decreasing order.\nAnswer: 35, 4, 2, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g**3 - 6*g**2 - 2*g + 3. Let x(t) = 6*t**3 + 7*t**2 + 3*t - 4. Calculate 4*f(l) + 3*x(l).\nAnswer: -6*l**3 - 3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 37066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 234\/10. Let n = -159 - -176. Let w = n + q. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 8)*(-1026)\/(-63). Let f = -112 - b. Calculate the remainder when 45 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/55 (b) 3 (c) -3\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q + 1. Let f(a) = -5*a**3 + 6*a**2 + 5*a + 6. Let z = 16 - 13. Suppose 4*i - 6 = z*i. Let b(s) = i*c(s) - f(s). Determine b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -5*d**2 + 0 + 0*d**3 + 0*d - 1\/12*d**4. Let q(o) = o. What is j(q(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 22540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 34, 4 in ascending order.\nAnswer: -1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/166 - -691\/1494. Which is the closest to 2? (a) t (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:03 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -22) + -16 + (-11)\/11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 14. Is 31 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n, -6*x + x + 3*n = -7*x - 1196. Is -593 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*w, 2*w = -y + 5*w + 15. Let j be (y + (-56)\/21)*9. Solve 2*r = v - j, -5*v + 3 = 2*r - 0*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114.9 and -9563.\nAnswer: -1098788.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -1\/6, 36, -0.5, -2, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01312649033 and 34.\nAnswer: 34.01312649033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:10 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10694053.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -5. Let r = -5 + i. What is the third biggest value in 2, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - -449.4253.\nAnswer: 430.4253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 133935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 833013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-two fifths of a second?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 7, t: 4}. Give prob of picking 2 y.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 - 14 = -5*z, 5*z + 2*m - 18 = 0. Suppose -4*w - z*w = -40. Suppose -5*u - 25 = -0*u. Which is the nearest to 1? (a) u (b) w (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htthetr. What is prob of picking 2 t, 1 r, and 1 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8\/7)*k)\/k**12)**(-3) assuming k is positive.\nAnswer: k**(255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5 - 6*o**2 + 14*o**2 - 2*o**2 - 10*o**2 + 4*o**3 - 5*o**3. Determine i(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 13*p**6\/120 + p**5\/60 + p**4\/24 - p**3\/6 + 31*p**2. Calculate u(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -13 - (-85 + 47)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13907.5 - -4403.1. Round c to the nearest 100.\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v + 103*v = 39, 0*m + 3*v + 10 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*s - 28 = 0, 60 = -9*x + 14*x + 3*s. Let p(f) = 6*f**2 - 36*f + x + 10*f + 28*f + f**3. Determine p(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548 - 8*g + 3*g + 7*g - 131.\nAnswer: 2*g - 679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22780\/187 - 2\/(-11). Let o = q - 82. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65832ba - -4?\nAnswer: 65832c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 6*s - 54. Let d(r) be the first derivative of 0*r**2 - 3*r + 1 + 4\/3*r**3. Let n(k) = 9*k**2 - 7. Give s*n(z) - 5*d(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 11.1?\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231\/2 - -116. Which is the third smallest value? (a) h (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2. Let p(j) = j**2 + j. Let h(m) = -m**2 + 3*m. Let a(q) = 2*h(q) - 6*p(q). Calculate a(c(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*n*t + 3*i**2 + 26*i*t - 19*n**4*t - 2*n**3 - 1 wrt n.\nAnswer: -i**2*t - 76*n**3*t - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -244.15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*d = 243*d - 42 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 + 146. Suppose l*b - 9408 + 3585 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.3 less than 18654719?\nAnswer: 18654752.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 7. Let n = 15.4 + z. Let m = 2.39999954 - n. Round m to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*h + 2*h. Let n be 0*3*(-1)\/9. Suppose h = 2*x - 8, 3*a - 3*x - 93 = -n*x. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:37 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 25 + 20*s to y*s + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/1295*(-50)\/40.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3604 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2902 + y + y + 2*y - 6*y.\nAnswer: -2*y + 2902","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*z - 8*z + 15 = 0, 0 = 2*z + 6 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 7) in base 14?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erp when three letters picked without replacement from {p: 8, e: 4, m: 2, n: 4, r: 1}.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.32 - -0.08. Let c = 0.38 + -0.08. What is the smallest value in k, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*j, 0 = 5*m - 0*m - 2*j - 12. Suppose -5*a - 37 = 4*q, -q = 4*a + m*q + 29. What is the second smallest value in 0.3, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20 - 0)*8\/20. Solve -r**5 - 12*r**3 - 2*r - 3*r**5 - 5*r**4 + 2*r**5 - 3*r**4 - l*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-14 - (-6 - (-15 + 20)))) + 46?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -31*b**3 - 82*b**2 + 5*b - 15. Calculate the remainder when a(-4) is divided by 95.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24283 = -24*t + 33533. Calculate the remainder when t is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0287800041 rounded to four dps?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (78\/63)\/((-827)\/11578)*6\/(-4)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17260 less than or equal to 17168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**2 - w - 1. Suppose 5*c = -v - 7, c - 4*v - 9 = v. Let f be n(c). Suppose b + b + 2*g = 2, 8 = 2*b - 4*g. Solve 6*a = b*a - f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 14 - 27 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60786.\nAnswer: 2, 3, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36752.39 and -0.0252.\nAnswer: -36752.4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from ggbcccccgcgcbccgcct.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 2*x + 3. Let b be p(-3). Let y be -8*2*39\/b. Calculate the least common multiple of 2 and (-152)\/y + (-20)\/(-130).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408 - -436. What is the remainder when 166 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) + (-372)\/21. Let v = o - -38. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 5, 5*d = 2*m - 12. Let n be (-51 + 52)\/(1*(-2)\/4). Let p be 22\/(-1221)*n\/(2\/3). Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -206864 + -1?\nAnswer: -206865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*h = -19, 33*l = 37*l + 4*h + 4. Sort -2, -8, l, 5, 9 in increasing order.\nAnswer: -8, l, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -29*j. Let r(f) = 30*f + 1. Let u(w) = 283*w + 9. Let a(m) = 9*r(m) - u(m). Give a(i(v)).\nAnswer: 377*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.19, -4\/9, -2\/167, -8\/1053, -5\/3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(2\/3))\/(s**(1\/7)\/(s*s**(-5\/4)))*s*(s*s**(2\/5))\/s*s\/s**0*s*s**(1\/4)\/s*s*s**(-7) assuming s is positive.\nAnswer: s**(202\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -514*l - 1264 - 2842 - 2716 - 888 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 430f00?\nAnswer: 430f04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.728492840790822 + 94733421.071509439209178. Let g = -94733432 + y. Let i = g - -6.2. What is i rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.653 - 0.5.\nAnswer: -3.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 64272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/63)*u**(-29)*u)**(-2\/3))**15 assuming u is positive.\nAnswer: u**(17630\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (16\/(-2))\/(-2). Let y be 15\/(-3 + k\/(-1)). Let j = y + -9. Solve 0 = 4*o - 3*x + 12, -j*o + x = -3*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*n - 25763 + 25766, -2*q + 3 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let h be ((-2)\/(-7))\/(76 - (-40515)\/(-511)). What is the smallest value in u, -0.5, -10, h?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m = 110*m - 106*m - 105*m + 16906 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8150?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*h**3 + 313*h?\nAnswer: 576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*k*n**3*u**2 + 13*k*n**3 + k*u**3 + 2*n**3 + 6*u**3 + 7*u wrt u?\nAnswer: 72*k*n**3 + 6*k*u + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -8)*(-3)\/9. Suppose -2 = 3*j - 5. Is 20 a factor of y - -1*97\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4*p - 5 = 23, -b = 2*p + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 + 73. Let k be (6\/18*-1)\/(4\/(-492)). What is the remainder when n(0) is divided by ((-3)\/(-2) - 1)\/(k\/2050)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*t + 7*d**3*u**2 + 53*d**2*t - 2*t*u**2 + t*u - u**2 with respect to u.\nAnswer: 14*d**3*u - 4*t*u + t - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 14*c**2 - 12*c - 10. What is the units digit of g(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s - 2. Let z(h) be the third derivative of -5*h**4\/24 + h**3\/3 - 2*h**2 - 31. Let q = 9 + -2. What is q*z(c) + 6*g(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -4 - 3 - (1 - 8). Suppose p*w = 32 - 8. Let j be 26 + (-2)\/w*2. Solve -6*z + z + j = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7550.709s to minutes.\nAnswer: 125.84515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90571 is divided by 963?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(1300)) + (2*1*sqrt(1300) - sqrt(1300)) + 2 + sqrt(117)\/(sqrt(9)*-2) + -5.\nAnswer: -21*sqrt(13)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -16, -18, -30?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8461377, 8461380, 8461381, 8461380, 8461377?\nAnswer: 8461372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 153*p - 46*p - 75*p - 76*p - 13*p**2 as h + n*p + y*p**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t - 3*t)*(3 - 1 - 4) + (4 + 1 - 7)*(-42 + 15*t + 42) as p + m*t and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*k - 4*d, 4*k - 7*k + 5*d + 19 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1\/(-1))\/(-61 + -2 - -16)?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63 + 0?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1992 and 1622982.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517 - (8\/(-28) - (-130)\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -2 - (2 + 8). Let w be (2\/(-22))\/((-4)\/o). Let x = 30.5 + -30. Which is the closest to -0.1? (a) x (b) -3\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, c: 3}. Give prob of sequence cc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16521523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-8 - 2)) + 15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1257, -2725, -4193?\n\"Answer: -1468*i + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1051 - -1055. Let i = -3.12 - -0.12. Which is the smallest value? (a) i (b) -6 (c) 1\/2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 2, g: 1, z: 1, u: 1, o: 1}. What is prob of sequence guv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36955021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 17*t**2 + 61*t**2 - 2*t**2 - 11*t**2 - 20*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 14*s**2 - 32*s + 5. Let z be k(16). Suppose 0 = -z*g + 2670 + 590. Suppose 0 = -5*b - 4*l + g + 362, 3*l = -12. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = 3*d - 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5002.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -375 + 380. Suppose u*z + 1292 = -1048. What is z rounded to the nearest 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2 + 334*k - 442. Determine d(-57).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 899 - 902 - (0 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 4 + s - s**2 - 2*s**2 - 4*s**2 + 0*s**2. Is 10 a factor of c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26395, 52923, 79451?\n\"Answer: 26528*o - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 144?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 3*k + 23*v - 215, -k + 69 = 2*v. What is the remainder when 2384 is divided by k?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8636.79 years in millennia?\nAnswer: 8.63679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.98 - -13. Let x = s + 2.98. Which is the second biggest value? (a) 4\/7 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-4)*b*b*b**(-1\/3)*b**(-1\/6)\/(b\/b**5) assuming b is positive.\nAnswer: b**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*4715\nAnswer: -14145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 20*y**2 + 17 + 23*y + 17*y**2 - 35*y**2. What is the units digit of d(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/1044 and 37\/21768.\nAnswer: 1893816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3 - 21*y**2\/2 - 6*y. Differentiate w(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdzzdzczdddzdd. What is prob of picking 2 z, 1 d, and 1 c?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpidib. Give prob of picking 1 r and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i**2. Let b(u) = -u + 25. Let o be b(2). Let a(x) = -22*x + o*x - 5*x. Determine f(a(s)).\nAnswer: -160*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*t = 10, 5*t - 4 = -14. Suppose -z + l + 14 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 554979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 55146 = v + 55141, 0 = 5*v + 4*b + 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 2*q - 8, 4*h = -2*q. Let p(d) = -8 + h - d + 2 + 10. What is p(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 1 + 4 + 9 + -18 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {x: 9, n: 1, f: 9}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27)*1*-3)\/(sqrt(9) + sqrt(81) + sqrt(81)*-2))**2 + 1 + ((-1*sqrt(189) + sqrt(189) - sqrt(189))\/sqrt(7))**2)*-6.\nAnswer: -417\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2442*j**2*z**2 - 118*j**2 + 14*j*z**2 + 90*j*z - 2*z**2 - 81*z wrt j?\nAnswer: 4884*z**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -294 + 289. Is 3 a factor of (168\/(-105))\/(1 - (-7)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(296\/(-24) + (2 - -9)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 11. What is the remainder when u is divided by (-6*2\/(-15))\/(2\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let a = 0.1 - 0.16. Let d = a + 0.26. Sort d, 1, l in increasing order.\nAnswer: l, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = -4*n - 7, 2*l - 2*n + 2 = 0. What is the smallest value in 7, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0268 take away 730143?\nAnswer: -730143.0268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 637.90586 rounded to one decimal place?\nAnswer: 637.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3098*k + 142734. Determine c(46).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -26\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5 - 34\/(-10). Let q(b) = -18*b + 39. Let g be q(-2). Suppose 0 = 6*p - a*p - g. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + -5 + 6*(sqrt(200) + -4))**2 + 5 + -1.\nAnswer: -3240*sqrt(2) + 7933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*w**4 + 43*w**2 - 49*w**2 + 7*w**4 - 7*w**4 wrt w.\nAnswer: 408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 541909 and 10033.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 102320333?\nAnswer: -102320343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 35 + (1 - 2) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4693985ng in micrograms?\nAnswer: 0.0004693985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8111 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 23. Let v(f) = -8 - f**2 + 2 + 5 + n. Let y(o) = 8*o**2 + 5. Give -5*v(c) - y(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0932 and -643?\nAnswer: 643.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 7*m - 1. Let b(i) = 2*i**2 - 11*i - 3. Suppose -7 = -5*n - y + 28, 3*n + y - 23 = 0. Let c be b(n). What is the units digit of q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = 4*j - 0, 4*u = 3*j - 5. Let q be (3\/(-9))\/(u\/6). Solve 3*l + q = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/527, -2\/5, 2\/19, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/5, -1\/527, 2\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-7060)\/(-70)*(-7)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 467914170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/3 + (318095\/(-3729) - -83).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14522*g**3 + 8298*g**3 + g**2 - g**2.\nAnswer: -6224*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -861 + 2010. Suppose 0 = 13*c - 4688 - x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -59. Let b = 16 + a. Put b, 4\/3, -3 in increasing order.\nAnswer: -3, b, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 18. Let r(a) = -6*a**l + 4 - 3 + a**3 - 2 + 2 + 4*a. Suppose -7*n + 25 = -2*n. What is r(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 10*o**2 - 18*o - 12. Let d be i(-8). Let v(p) = 25 - 21 - p + d*p. Let r be v(3). Solve -3*f - 1 + r = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -202774550?\nAnswer: 202774545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/5, -5, 0.38?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-5))\/((b\/(b**0*b))\/b))**(12\/11))**(2\/35) assuming b is positive.\nAnswer: b**(-72\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7\/2)*a**26*a**17*a*a**29*a assuming a is positive.\nAnswer: a**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2632, 7529, 15680, 27085?\n\"Answer: 1627*b**2 + 16*b + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63529 by 3.\nAnswer: -63529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 596413831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/4 + 48\/32)\/1. Which is greater: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7503 by -7503.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-4)\/(1 + 11). Suppose m = -o + i - 14, -4*i + 8 = o - 2*o. Let u be ((-6)\/(-8))\/((-6)\/o). Solve f + 3*f + j = 14, 2 = u*f - 2*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 4a078?\nAnswer: -4a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 18 + 9)*(8*f + 0*f - 2*f)*(-1 - 1 + 1).\nAnswer: -102*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 21 + 25 = -a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2388625 and 34241?\nAnswer: 843184625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {j: 5, p: 1, z: 2, g: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370359199 to the power of 1\/2, to the nearest integer?\nAnswer: 37018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 4*r + 2035656, -r = b - 678552. Let j = b - 463552. What is j rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*c = -82*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -705\/2 + 403. Calculate the common denominator of (-2)\/2 + 121\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 - 69. Let n = i - 19. What is the third derivative of 23*c**2 + 18*c**n + 4*c**2 - 3*c**2 wrt c?\nAnswer: 2160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 56*y - 14*y - 10919084 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j**3 - 6*j**2 - 6*j + 6. Let c(s) be the first derivative of 25*s**4\/4 - 11*s**3\/3 - 11*s**2\/2 + 11*s + 55. Determine 6*c(o) - 11*n(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000.15 rounded to the nearest ten?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 2 - 2 + 16*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**3 - 2*p**4 - 8*p**3 + 20*p**3 + 2*p**2 - p - 1 as n*p**3 + o*p**4 + h*p**2 + x + z*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17848 (base 12) to base 11\nAnswer: -23636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152392*j - 165246*j - 165250*j + 482889*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28596)\/(-23830))\/((-18)\/1005)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3802, 7565, 11324, 15079?\nAnswer: 18830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4263 is divided by 1187?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 354950144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 335754 - 2637*p**2 - 335754 + (0*p**2 + p**2 + p**2)*(2 - 2 - 2) as r*p + q*p**2 + c and give q.\nAnswer: -2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -566, 1 in increasing order.\nAnswer: -566, -79, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.057 and 32342.395?\nAnswer: 32335.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 196 + -99. Let b = 97.0000197 - r. Round b to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**2\/2 + 7*q + 183. Give u(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.1 - 4.1. Let z = -183.3 + 183. Put -4, z, w, -1\/5 in increasing order.\nAnswer: -4, z, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68183\/7 + ((-4)\/140 - 24\/60). Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcc when three letters picked without replacement from ctctttcmitticiciict.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 14 = 2*p, 3*p - 599*k = -596*k + 15 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1a5 (base 15) to base 2\nAnswer: 101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181*a**2*m + 3*a*m - 34*a wrt a?\nAnswer: -362*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05263 and 222?\nAnswer: 221.94737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/40 and -103\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461630?\nAnswer: 2, 5, 13, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8703 (b) 5 (c) 57.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -119*r. Let z(g) = 237*g - 1. Let i(y) = -5*f(y) - 2*z(y). Suppose -12 = 240*v - 252*v. What is the units digit of i(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000890187397 rounded to seven dps?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(-2\/29))\/k)*k)\/(k**(2\/13)\/k))**(11\/4) assuming k is positive.\nAnswer: k**(12089\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 165, -3330, -6825, -10320?\n\"Answer: -3495*n + 3660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 111114304?\nAnswer: -111114243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1105119 divided by 368373.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:51 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**2 + 12*n - 15. Let v(j) = -11*j**2 + 15*j - 16. Give -4*m(r) + 3*v(r).\nAnswer: -r**2 - 3*r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134288476463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*q + 5. Let v(n) = n**3 + 81*n**2 - 83*n - 86. Let u be v(-82). Sort 4, 5, q, u in decreasing order.\nAnswer: 5, 4, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -526138 and -227.\nAnswer: 119433326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 45?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102330 (base 4) to base 5.\nAnswer: -14322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 4. Let f(z) = 3*z**2 + 5. Let n(b) = -5*c(b) - 4*f(b). Let a(k) = -6*k. What is n(a(q))?\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/26 - 1\/13. What is the nearest to -2 in t, 3, 1\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663157 < 4663158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 866291\/70 - 12374. Calculate the common denominator of -31\/1610 and x.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**28\/b*b*b*b\/((b*b**(-19))\/b)*b*(b*b\/b**(-6\/11))**23 assuming b is positive.\nAnswer: b**(1194\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222951 is divided by 4297?\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136377 + -136378.38118. Let x = 14.04 + -12.66. Let f = y + x. Round f to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -627, 3, 5, 2, 7, -3 in ascending order.\nAnswer: -627, -3, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 + 27*f - 5. Let c(g) = -3*g**2 - 18*g + 4. Let t(k) = -8*c(k) - 5*v(k). What is t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55001612 (base 8) to base 6\nAnswer: -1100505310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + m - 18 = 3*m, o = -3*m - 13. Let q be o*(-2)\/((-12)\/(-9)). Suppose -26 = -4*t + 4*c + q, 2 = t + 2*c. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -a82?\nAnswer: a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)*(26 + -24). Suppose v = i*t - 2379, 3*t - 1767 = 3*v - 8*v. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = z + 11, -5*s - z - 3*z = -40. Solve 0 = 3*b - s*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (6 + -8 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 - 150 = 0. Suppose -4*a - y = 3*z, 2*z = 5*z - a + 29. Let h = z + 12. Solve -v - 1 = -h*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 0*h**4 - 10 - 9*h**4 - h**4 + 1 - 3*h**2 + 0*h**4 to the form j*h**3 + u*h**4 + v + i*h**2 + q*h and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 1. Let f = q - 0.2. Let p = -2 - f. Which is the biggest value? (a) -3\/2 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8056163 = x + 3*r, 2*r = 8. Let h = x + -3656143. Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from {f: 7, i: 2, s: 4, y: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 2*o + 147629 = -9*q, 2*q + 2*o - 98424 = 0. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122202 (base 3) in base 6?\nAnswer: -2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137200 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r + 15 - 7*r - 37 + 3*r - 66 - 218*r**2 wrt r.\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642845298 to the nearest integer?\nAnswer: 40532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 4. Let a be (-14)\/(0\/2 + -2). Let u = a - 2. What is the remainder when u is divided by b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 7. Let g be (35\/10 + o)*-6. Let k(q) = q**2 + 2*q - 3. Give k(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -919, -2 in descending order.\nAnswer: 1, -2, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356251348.\nAnswer: 2, 12211, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -3 (b) 2\/5 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 10*x - 10. Let a be t(-6). Let j = a + -7. What is the highest common divisor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 21*j = 5*d - 48, -4*j + 4*d = -12. Suppose -3 = h - 2*h. Solve -h*f + j = 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1819 less than or equal to -1822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-10)\/c)**(-19\/2)\/(((c*c**(19\/4)\/c)\/c)\/(c*c**(-14\/5)*c)))**37 assuming c is positive.\nAnswer: c**(73963\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 472510856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*r - 13 - 49*r - 3*r - r**4 in the form q*r**3 + h*r + k + u*r**2 + s*r**4 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -5*r**4\/12 + 35*r**3 - 779*r**2 + 2. Let g(a) = -2*a + 42. Determine 3*b(p) - 14*g(p).\nAnswer: -2*p + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 6*z + 8. Let b(w) = w**2 + 9*w - 7. What are the prime factors of b(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5535255 (base 7) in base 9?\nAnswer: -1247550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**5\/150 + m**4\/30 + m**3\/15 + m**2\/2 - 5. Let s(b) be the second derivative of t(b). Solve s(f) = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+0.1483\nAnswer: -0.8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 80*n - 22. Let r be i(-27). What is the fourth biggest value in 0.01, 1, 0.49, r?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 24*u + 143. Let j be d(14). List the prime factors of (694\/j*1)\/((-2)\/(-3)).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2479332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*134*2019\/(-8076))\/(2\/4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 + (6\/(-45) - -2). Sort a, -2, 1\/4, -0.02 in ascending order.\nAnswer: -2, a, -0.02, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 88 = -2*j, -2*j + 5*z + 6 = -73. Calculate the remainder when j is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 6154424*b**2 - 6154422*b.\nAnswer: -2*b*(b - 3077211)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 18*p - 4. Let m be o(-5). Let y = -61 + m. Do y and -3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*b, 2*o - o + 2*b = 0. Let k(m) = m**2 + 4*m + 7. Let t be k(o). Is (53\/1)\/(t + -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 28 + 52)*(3 - 3 + 1)*(o**4 + 0*o**4 - 4*o**4).\nAnswer: -228*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 742920350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(31 + -27). Suppose -3*a = -c*a - 372. What are the prime factors of a?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -12. Let o(a) = -a**3 + 6*a**2 + 7*a + 2. Let i be o(5). Let u be (-1)\/(-3) + i\/(-6). Sort 4, w, u in descending order.\nAnswer: 4, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 5*j**3\/3 - 376*j. Let k(s) = 54*s. What is x(k(l))?\nAnswer: 540*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*y + 425*y + 12789 = 224*y - 15501 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + -4 + sqrt(7) + 1 + 3.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 0)*(40*f - 264 + 264) in the form n + r*f and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.068, -2, -3\/316 in increasing order.\nAnswer: -2, -3\/316, 0.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1560 and -101\/7410.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 120799.14 months?\nAnswer: 10066.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**8\/12600 - c**7\/1260 + c**6\/675 - c**3 + 5*c - 66. Let z(q) be the third derivative of u(q). Factor z(l).\nAnswer: 2*l**2*(l - 4)*(l - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8934 - -8936. Solve v + 5 = 0, q*v = -5*n + v + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -41. What are the prime factors of 0 + (-8)\/h*-15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 35 = 18*s. Solve s*w = 27*w + 66 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 771*q - 139211. Determine r(-151).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5*2\/(-3))\/(186\/279). Put r, 2, 5, 0 in descending order.\nAnswer: 5, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323771, -647543, -971315, -1295087, -1618859, -1942631?\nAnswer: -2266403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/18*(-54)\/((200\/(-175)*-7)\/2)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-7))\/(o*o\/o**(-1))*(o\/(o**(-8)*o))\/o**(-2\/3))\/((o\/((o\/o**(-4\/5))\/o)*o**(-4\/9))\/(o**0)**(-22)) assuming o is positive.\nAnswer: o**(626\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -6321\nAnswer: -6321.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 5. Let g(x) = -9*x + 17. Let b(p) = 90*p - 168. Let y(o) = 2*b(o) + 21*g(o). Determine -21*t(i) + 5*y(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 262 in 1\/8, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 131270 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 158*p + 11648\/3.\nAnswer: (p - 448)*(p - 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/13)\/(29\/(-116)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 602620072 - 57401972339367\/95254. Let v = 1\/982 + o. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110202 (base 3) in base 2?\nAnswer: 101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s + 23*s - 51 - 57 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.097, 5, 0, -2\/3, -0.03, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 < -20375\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70055526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 - 2210?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -18.88. Let a = p - 0.121. Round a to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 take away 14?\nAnswer: -14.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p + 338 = -55*p. Suppose 3*r + 5*o = 156, 3*r + 0*o - 156 = 2*o. What is the highest common divisor of r and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -1 + 5\/2. Let v = 0.951 + -0.551. What is the closest to -3 in v, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -42. Suppose -7*i = -w*i + 87. Is i bigger than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 8 - -16) + 2. Suppose -r*l = -25*l + 159. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 6*x = -s, -20 = -3*x - 2*s. Let d = 4.8 - 4.3. What is the closest to -1 in d, x, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*o = -4, 3*w - 30 = 6*w + 5*o. Is ((-14)\/4)\/(w\/130) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.449311 tonnes in grams?\nAnswer: 1449311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 64. Let b be g(-29). Suppose -2*f = 5*r - 2*r - 13, 0 = 2*f - 4*r + 22. Is 3 + (f\/b - (-532)\/24) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 7:04 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 5*l - 1 - 9, 4*n - l + 21 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107727 divided by -35909.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2369, 4604, 6691, 8618, 10373, 11944, 13319?\n\"Answer: -2*p**3 - 62*p**2 + 2435*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -406506*i + 1338. Let z be l(-27). Round z to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3*q**3 + 71 + 21*q**3 + 53 + 22. Let n(z) = 3*z. Give j(n(a)).\nAnswer: 486*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - 11220201?\nAnswer: -11212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/39? (a) -4 (b) 4\/9 (c) 1\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1973536295.\nAnswer: 5, 97, 1667, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 11*f**2 + 8*f - 12. Let n(g) = -2*g**3 - 22*g**2 - 16*g + 23. Let x(k) = -7*i(k) - 4*n(k). What is the units digit of x(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5) - (136\/(-255))\/((-2)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4*(-62470)\/(-12). Let p = f + -3913. Find the common denominator of p and 38\/(-95)*(-110)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*f = 32, -3036628*f = -2*h - 3036629*f - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4 + sqrt(11)*-2 - sqrt(11)) + 5)**2.\nAnswer: -720 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 6*a - 2. Suppose -3*i = -l + 3 - 23, 5*l + i = -20. Let g be t(l). Suppose 3*q = -2*q + 10, 5*v = q - 22. Sort -3, g, v in decreasing order.\nAnswer: g, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1021 + 0.0021. Put 1, 42, d in increasing order.\nAnswer: d, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - t)*(-35 - 7089*t + 3*t**2 + 7089*t).\nAnswer: -3*t**3 + 35*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/2 + 2427*g**2\/2 + 1214*g = 0.\nAnswer: -1, 0, 2428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 13*m - 7. Let o be n(-12). Solve 5 = -2*z - o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5829*c**2 - 3270*c + 33. Let w(d) = -1943*d**2 + 1089*d - 12. Let s(b) = 4*t(b) + 11*w(b). Find the second derivative of s(q) wrt q.\nAnswer: 3886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -40*a + 6. Is k(-3) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-55)\/(-8)*2\/5 + (-696)\/928. Let v(d) = 3 + 2*d - 5 - 1. Calculate v(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and -33195872676768?\nAnswer: 33195872676781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108918 by 36306.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223446975 to the power of 1\/2, to the nearest integer?\nAnswer: 14948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:55 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 295 = 558321*n - 558325*n, 5*d - n - 61 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 47168.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 51*u**2 - 5*u + 23. Is p(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqkqqkqqkqqk.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66385, 263806, 592833, 1053460, 1645681, 2369490, 3224881, 4211848?\n\"Answer: -i**3 + 65809*i**2 + i + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 3*w - 2. Calculate r(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*-6*sqrt(280)\/(sqrt(7)*2))\/(((sqrt(88) - (1*sqrt(88) - sqrt(88))*-1) + sqrt(88) + sqrt(88))\/(sqrt(22)\/sqrt(32))).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*n - 10. Let a = n + -14. Let d be (0 - a)*(-10)\/12. Solve 12 = d*m + 3*t, m - 4*t - 13 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 5*d - 3 - 3 + 2. Let f be i(-5). Let g be (500\/(-6))\/(f\/(-1920)). Round g to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 33, -26, 5, 1, -3, -72 in decreasing order.\nAnswer: 33, 5, 4, 1, -3, -26, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.5921 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*u - 3 = 2*x, 2*x + 4 = -u. Let w(g) = 9*g + 9. Let j(y) = -13*y - 13. Let r(s) = 5*j(s) + 7*w(s). Give r(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*k*p**3*t + 1628*k*p**3 - 10*k*p*t + k + p**3*t + 2*p**3 with respect to t.\nAnswer: -11*k*p**3 - 10*k*p + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p. Let r(a) = 3*a**2 - 9*a - 9. Let b(w) = r(w) - 2*x(w). Let j be (-1)\/(-1) + 224\/32. What is b(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u. Let y(s) = s**3 - 13*s**2 + 5. Let x(q) = 6*c(q) - y(q). Let m be 52\/390 - (-3)\/(360\/704). Give x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**2 + 1\/6*s**3 + 0 + s. Let t be x(3). Let o(j) = -j**3 + 4*j**2 + 4*j + 2. Determine o(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 524*g**2*l**2 - 41*g**2*l*o**3 - 2*g**2 - 24*g*l**2*o**3 - 9*g*o**3 - 5*l wrt l?\nAnswer: 1048*g**2 - 48*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 7*w**2 + 5*w**2 + 7*w**3 - 13*w**2 + 14*w - 1 - 3*w**3 as a + v*w**2 + u*w**3 + k*w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 217*f + 3033. What is p(-13)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -48, 2\/9, -3, -24, 108, -1 in descending order.\nAnswer: 108, 4, 2\/9, -1, -3, -24, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4429 - -9124. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1010\/7 + -144. Let n = 190 + -189.27. Let j = n + -0.13. What is the nearest to -1 in i, j, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvc when three letters picked without replacement from ycvvyvvvyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2831, -5662, -8493?\n\"Answer: -2831*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.95 + -0.05. Let o = 10 + b. Let s be 4 + 3\/(-18)*(-7 - -1). What is the smallest value in s, -10, o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24381 and 3685444.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyjxjj. What is prob of picking 3 j and 1 y?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7924.77 + 1428.6.\nAnswer: 9353.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -2.0942.\nAnswer: -4.0942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13891 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 4}. What is prob of sequence cc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4060.640052 to the nearest ten.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4519744 to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 13 = 3*t, 2*c = -2*t + 3 + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 7*q**2 + 3*q - 5. Let r be i(-6). Suppose 0 = k - 2*a - 8, 3*a = 4*k - r + 1. List the prime factors of (-4 + -2)*(k - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a147 + -20?\nAnswer: -a167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-178)\/4*(8 - -144). Let s = -135 - z. Suppose s + 4571 = 7*j. What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, a: 4, w: 2, m: 8, c: 4}. What is prob of picking 1 p, 1 m, 1 w, and 1 a?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1031 + 1055. Are 298\/13 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m = -32*m + 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - 6*v - 4*v)*(-3*v - 2*v + 3*v).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*h - 0*h - 18, -w + 5*h - 24 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399 take away -0.2?\nAnswer: -1398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3692421875.\nAnswer: 5, 151, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168188, 0, 9, -6 in ascending order.\nAnswer: -168188, -6, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 124 = 4*q, -4*t - 1740*q + 1742*q = -142. Let f be (1*3)\/((-3)\/(-4)). Suppose 3*u - 41 = -4*s + 9, 3*s + f*u = t. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 1.37 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*j = -409*j - 37414. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 16. Suppose -3*d + 10 = -4*r, b*d + 4*r - 3*r = 3. Solve 3*g + d*s - 3 = -s, 4*s = -12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 12*d - 66. Suppose 2*k = 5*k - d. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1099, -1184, -1281, -1396, -1535, -1704, -1909?\n\"Answer: -q**3 - 78*q - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/2))\/j)**(-5))**(-39) assuming j is positive.\nAnswer: j**(195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7508+70903\nAnswer: 78411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + 71 + -69\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2334 - 5?\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.6692 + -0.1492. Let m = -35 + q. What is m rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 441.9499970723 - 441.95. Round z to 7 decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 107 = 2*h, 2*h - f = 69 + 58. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 659662701 and 0.21.\nAnswer: 659662701.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 8*t - 5. Let y be n(-4). Suppose -3*r - y = 13. Sort -3, 3, r, 5 in decreasing order.\nAnswer: 5, 3, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -1 - (-125 + 116)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g - 40. Let j be l(8). Suppose j*v + 2*k - 8 = 4*v, 5*v + 3*k = 10. Solve q - 3*i = 2*i - 1, 0 = -v*q + 4*i - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/25 + o**4\/5 - 4*o**3\/3 - 48*o**2\/5 + 514*o. Determine r, given that s(r) = 0.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*d + 17 = 0, 2 = u - 2*d - 8. Let v(j) = 11*j + 3. Let a(k) = -5*k - 2. Give u*v(x) + 9*a(x).\nAnswer: -x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402ed (base 15) in base 4?\nAnswer: 3222333310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 4. Let l be r(-5). Let b be (-4)\/((-3)\/(-9)*l). What is the tens digit of 3\/b + 45\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -62. Sort -1, 25, l in decreasing order.\nAnswer: 25, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39014.42 centimeters in nanometers?\nAnswer: 390144200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 190487, 761946, 1714369, 3047750, 4762083?\n\"Answer: -y**3 + 190488*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 greater than or equal to -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 78. Calculate the remainder when 52 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyp when four letters picked without replacement from {p: 4, y: 3, l: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let s(f) = -8163820*f + 3. What is p(s(l))?\nAnswer: 16327640*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223111667*y**3 + 13117896*y**2 - 2*y + 4.\nAnswer: 1338670002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2. Let i(z) be the first derivative of -5*z**3\/6 - 18*z - 18. Let d(v) be the first derivative of i(v). Determine d(u(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 1, r: 1}. What is prob of sequence frw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*b - 3*v, -5*b - v - 64 = -63 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + ((sqrt(30)*1 - sqrt(30))\/sqrt(6) - (2 + (sqrt(20)\/sqrt(4) - sqrt(5))))**2 - (5 + sqrt(720) + (sqrt(5) - (sqrt(2880) - sqrt(45))))).\nAnswer: -32*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8353?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(((-3*sqrt(19) - sqrt(19))*1)**2 + -5 + sqrt(1539) + 2 + 4).\nAnswer: -610 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 69, 276, 583, 996, 1521, 2164?\n\"Answer: i**3 + 44*i**2 + 68*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 1:50 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*m**3 - 10*m**2 - 31*m**3 + 61*m**3 - 29*m**3 wrt m.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-2*(-2)\/(-16)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.954173.\nAnswer: 1.908346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.1. Suppose 5*d - 3*t - 12 = 0, 5*d = t + 9 + 5. What is the nearest to -3 in d, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, r: 3, v: 1, q: 7}. What is prob of picking 1 r, 1 q, and 1 v?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -599, 9\/4?\nAnswer: -599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 14 - 10)*(0*x + x + 58*x).\nAnswer: -472*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-9*x**4 + 0*x**4 + 3 + 8*x**4).\nAnswer: -2*x**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 9:25 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/11 and -48 - -48 - 74\/(-159).\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*l + 18, -4*d = -7*l + 6*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 44*r - 990556 = -990284, -5*r + 38 = -u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72\/11 + 2\/11*d**2 - 48\/11*d + 2\/11*d**3 = 0. What is d?\nAnswer: -6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156821 is divided by 1660.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -1\/6*h**3 + 3*h**2 - 1\/60*h**5 + 0*h + 0 + 1\/24*h**4. Let a(y) = y**3 + 3*y**2 - 3*y + 3. Calculate a(t) + 3*m(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 3*y**5\/5 + 3*y**4\/4 - 3*y**3 - 3*y**2\/2 + 6*y - 284. Find p such that h(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouuouo. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84685039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -856 + 756. Let s be 1\/3 + (-20)\/(-3). Suppose s*c - f = 1. Solve -19 + c = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101195 is divided by 1749.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -12) + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - -3. Let q = 17.4 - 18. Which is bigger: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345 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: Expand (1 - 1 + 2*o)*(2*o**4 - 2*o**4 + 2*o**4) - 6339*o**5 + 2091*o**5 - 3175*o**5.\nAnswer: -7419*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -13653161 to the nearest one thousand.\nAnswer: -13653000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 192*c**2 + 159*c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16613826 to the nearest integer?\nAnswer: 4076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0064255395 rounded to four decimal places?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236243 is divided by 214?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 3. Let q be 2 - ((7 - 4) + -4 - 0). Suppose -2*i - 14 - 60 = 4*u, 15 = -u + q*i. Let n = u - -18. Calculate s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + 698. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -725 + 191*s**2 + 725 to p*s**2 + l*s + j and give p.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**20)**(1\/24) assuming n is positive.\nAnswer: n**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 19*h - 26. Let n be y(18). What is the tens digit of 414\/8 + n\/(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*j + 122*j - 10994000. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 63*i**2\/2 + 102*i + 82. Does 22 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2535\/56 - 316\/7. Let a = -0.8 + 1.1. Suppose v - 1 + 2 = 0. What is the biggest value in v, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-315))\/(1\/10). What is the second biggest value in 1, k, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44222373 is divided by 100?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 687 + -367. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -122, -186?\n\"Answer: -64*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 27*l + 15)*(-1 - 3 + 2)*(-29 + 72 + 71)*(2*l + 2*l - l).\nAnswer: 18468*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -18.1. Let q = n - 1.100014. Round q to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1091104336797 - 0.\nAnswer: 0.1091104336797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-5))\/(1\/5). Suppose -6*h = -a*h + 165. Let j = 90 - h. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10816 + 10830 = 2*q - 4*g, 3*q + 4*g - 5 - 36 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 5. Let d be (-2)\/3 + (-82)\/i. Let u = d + -2. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - w = 100, w = -2699*q + 2698*q + 30. Solve 0 = 2*g - 2, 23*c - q*c - 5*g + 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-32) - (-1 - 114\/(-48)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80168.92 nanometers to centimeters.\nAnswer: 0.008016892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-30) + 13\/(-3). What are the prime factors of ((-13437)\/27)\/1*h?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*d + 128*d = 140. Solve 697 = d*y + 682 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113815\/8 + -14227. What is the second smallest value in g, 31, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + (sqrt(1573) + 0)*6 - (-5 + (sqrt(468) - (sqrt(468) - (sqrt(468) + -1 + sqrt(468))**2)) + 3*(sqrt(468) - (1*sqrt(468) + sqrt(468))))).\nAnswer: -1866 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*c - 8*c**4 + 42*c)*(9 + 5 - 20).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*y - 912 = 0, -3*w + 2*y + 419 = -128. Solve 133 - w = 10*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*w - 118*w - 82*w + 1 + 122*w.\nAnswer: -227*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 80*q**2 + 723. Determine h(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9215 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -55. Let h(r) = -6*r + 30. What is the lowest common multiple of v and h(-5)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and 7397436.977.\nAnswer: 7397437.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13469 = 381*r + 134 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (sqrt(272) + sqrt(272)*-3 - sqrt(272)) + -2)**2*5*1.\nAnswer: 160*sqrt(17) + 5460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -0.4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.83 less than 100.8378644?\nAnswer: 115.6678644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001*j - 977*j = 720 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1a5660 (base 11) to base 5\nAnswer: -40034113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.00731 - 4.00731. Which is the smallest value? (a) h (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.068 and 0.3.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19125 and 153?\nAnswer: 19125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-746048)\/(-5) + 2\/5. Round c to the nearest one thousand.\nAnswer: 149000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40097663?\nAnswer: 31, 1293473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 51, 49, 47, 45?\n\"Answer: -2*h + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3137 - 51?\nAnswer: -3188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 0. Solve k = r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11719 (base 16) to base 14\nAnswer: -1c077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*v + 56*v - 162*v - 5*v to o + i*v and give i.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/896)\/((-2)\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 266. What are the prime factors of x?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2 + 6*p**4 + 9*p**3 + p**4 - 2*p - 2*p**4 - 7*p**5 = 0. Calculate p.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*g = -10, 0 = 3*g - 11 + 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*-3*14\/3. Round h to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 76 = 17*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1467 - -1481. Suppose 2*o - 365 = -4*m + 3*o, 0 = -m + o + 89. What is the remainder when m is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*m**4 - 2\/5*m**5 - 2\/5*m + 24\/5*m**2 + 4\/5*m**3 - 12\/5 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53862131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2640 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 215 = -10*d. Solve 3*u - 15 = -d*j - 2*u, 6 = 3*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8852, 8848, 8844, 8840, 8836, 8832?\nAnswer: 8828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 10, 2, 13.\nAnswer: 0, 2, 4, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 - 0.4. Let n = z + 11. Which is the second biggest value? (a) n (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.102 * 20\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*((sqrt(13) + -1)**2 + -4 + sqrt(13)) + -1)*-5.\nAnswer: -525 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002941418 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 5*d**2 - 6*d - 2. Let w be x(-5). Is w\/4*(-20)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -370, 3, 2\/13, 1.3, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172b869 (base 15) to base 3.\nAnswer: 1011200220002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 40, 71, 124, 205?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102120 - -1?\nAnswer: -102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m + 4*m + 3*m**2 + 3*m**2 - 7*m**2 wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*c + 660, -8*c + 819 = 5*f - 9*c. Let z = -117 + f. What is the highest common divisor of 846 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 42*t - 103*t + 93 = -57*t, -2*t = -4*r - 54 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 - 50*c**3 - 378*c**2 - 814*c - 484 = 0. What is c?\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1241*g + 4*g**3 - 636*g - 605*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69077, -69063, -69035, -68987, -68913, -68807, -68663, -68475?\nAnswer: -68237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4854500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-42)\/616 - 1\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316 - 18 - 113)*(0 + 0 + 2)*(d - 4*d + d)*(19 - 4 + 1).\nAnswer: -11840*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1011001011001101000 (base 2) to base 4\nAnswer: -1121121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 19*o - 2. Let z(n) = 2*n**3 - 5*n**2 - 39*n + 5. Let j = 4168 - 4170. Give j*z(x) - 5*b(x).\nAnswer: x**3 - 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 107*x + 140. Let h be l(-1). Solve 21*g - 72 = h*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 6*u + 10*u - 3.\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -12\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1009, 2505, 4837, 8005?\n\"Answer: 418*y**2 + 242*y + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 21. Let n be b(-26). Let i(y) = 5*y**3 - 4*y**2 + 2*y + 1. Let m be i(2). Solve m = 4*u + n*s, -2*u - 2*s = -s - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a5870 (base 12) to base 2\nAnswer: 1110001110010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14454 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b + 2*b)*(-38*b**2 + 46*b - 46*b)*(-7 - 1 + 10)*(-3 - 1 + 3)*(-2 + 2 - 1)*(2 + 2 - 3).\nAnswer: -228*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 49, 25\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 378449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/22 and (-10)\/(11000\/1555) - -1?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 849750, 849743, 849736, 849729, 849722?\n\"Answer: -7*f + 849757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29989036?\nAnswer: 2, 7, 11, 97367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5941586 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303518450 rounded to the nearest one hundred thousand?\nAnswer: 303500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 7*k + 5. Let v be l(5). Let j be (1\/(-27))\/(v\/15). Which is the closest to 2? (a) j (b) -1\/5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75.94 + -76. Suppose p - 2 = 2. What is the third smallest value in 1, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 19 = -4. Let g = 0.56 - 2.56. Which is the closest to g? (a) 2 (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 7. Let b be w(6). Let j = b + -9. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(162)*-2)**2 + 4)*-2.\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = -21. Let y(t) = -3*t**3 - 4*t**2 + 3*t. Let i = -7 - -3. Let q(k) = 5*k**3 + 7*k**2 - 5*k. Determine f*y(c) + i*q(c).\nAnswer: c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 - 0.26. Let i = 52 + -51.7. Which is the nearest to g? (a) i (b) -0.3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2 + 48*f + 2*f + f**2 - 52*f + f**3. Determine l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26623, 53268, 79913, 106558, 133203, 159848?\n\"Answer: 26645*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 10*g**2 - 26*g + 22. Let i be s(12). What is the common denominator of -109\/40 and i\/(-6)*(-14442)\/3944?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3106*-122.\nAnswer: 378932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 372530, 372524, 372518, 372512?\n\"Answer: -6*s + 372536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v = 0. Suppose -7*l + 11 - 4 = v. Let p(r) = 6*r**2 + r - 1. Determine p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11111 + -11076. Sort -4, 5, 4, r in descending order.\nAnswer: r, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 35328?\nAnswer: 105984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -2) + 7 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -0.04, -1\/4, -0.3, 2\/5, -38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + 4*w**4 - w**4 + (0*w**2 + 3*w**2 - 4*w**2)*(0*w**2 - w**2 - w**2) - w**4 + 3*w**4 + 0*w**4 + (5*w**3 - 5*w**3 - w**3)*(-3 - 3*w + 3).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.2. Let r be 1078\/(-48) - (-26)\/(-39). Let q = r - -23. Is q greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*(-345)\/(-1449).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217309?\nAnswer: 217309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 3*s - 1. Let m be g(-3). Let l be (-575)\/2*m\/10. Does 5 divide 4\/(-7) + l\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 12*j - 162. Let a(y) = 2*y - 6. What is 6*a(g) - z(g)?\nAnswer: 5*g**2 + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 208*b. Let y(g) = -g. What is y(m(c))?\nAnswer: -208*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 8*r + 12. Let g = 21 + -27. Let j = -125 - -134. Calculate the remainder when q(g) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3 + 9036*o**2 + 9034*o = 0. Calculate o.\nAnswer: -4517, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d74 (base 14) to base 9.\nAnswer: -7353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 6) + (-4)\/(-2). Suppose v*g = 3*g - 4. Suppose -g*z + 5*k = -3, 2*z - z - 4*k = -2. Solve -d + 7 = -z*d - l, l + 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(72) - 3*sqrt(72)) + (2*-2*sqrt(70))\/sqrt(10))**2.\nAnswer: 4375\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 256\/8832*(-108)\/144\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 975.2 - 974.2. What is the closest to x in 0.1, 25, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -205585, -411221, -616857, -822493, -1028129?\n\"Answer: -205636*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 11*i - 8*i + 2*i - 2*i.\nAnswer: -19*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28416, -21918, -15420, -8922, -2424, 4074?\n\"Answer: 6498*x - 34914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-425))\/(63\/9870) - 9\/(-153)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10021 - 710?\nAnswer: 9311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 364284 and 99?\nAnswer: 4007124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 22*l - 15 = 0, -15 = -3*h + 2*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 32. Calculate the remainder when 65 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*n = -85 + 501 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1841*o - 388418. What is j(-211)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 247 (b) -0.7 (c) 9\/4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1)))**28*b**(-5\/6)\/(b\/(b**(16\/5)\/b)) assuming b is positive.\nAnswer: b**(851\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36194*h - 77234 wrt h.\nAnswer: -36194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q**2\/6 + 167*q + 1540\/3 = 0.\nAnswer: -140, -22\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**(-17)*y)\/y)*y*y*y\/y**(-22) assuming y is positive.\nAnswer: y**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 41 (c) 0.3 (d) 1155 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/399)\/8*(-4)\/6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 30216*x**2 + 57543300*x - 1810575488.\nAnswer: 4*(x - 3761)**2*(x - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697935133.\nAnswer: 19, 383, 233329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)\/(v\/(v*v**(-1\/4))))\/(v**(1\/7)*v**(-1\/2))*(v**(-8)\/v*v\/v**0*v)**(-1\/21) assuming v is positive.\nAnswer: v**(29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.134 times 0.12\nAnswer: 0.37608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -410 (base 9) to base 14\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 + 29*v - 339. Let w(s) = 5*s**2 - 35*s + 338. Calculate -6*n(k) - 5*w(k).\nAnswer: -k**2 + k + 344","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3622 + 4887 = 0. Suppose 506 = 2*n - 4*n. Is n less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4971*n**2 + 1692*n**2 + 2543*n**2 - 72*n**2.\nAnswer: 9134*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42887 divided by 2.\nAnswer: 42887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/4 - 2*s**4 - 5*s**3 - 5*s**2\/2 + 21*s\/4 + 9\/2 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -38*i**2. Let x(z) = 0*z - 2*z + 3*z + 0*z. Calculate n(x(j)).\nAnswer: -38*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 4723446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 404, 566?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s. Suppose -u + 3*u - 8 = s. Is 4 a factor of ((-9)\/15)\/(u\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*m = -169*m - 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48008\/11 + -4378. Let v be ((-16)\/(-28))\/(28\/(-686)). Is v bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 6400000. Let g(w) = 7 + u*w - 7. Let p be g(2). Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 1017602566?\nAnswer: 1017602565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203.28 - -4.28. Let d = o + 121. Let i = d + 76.04. What is i rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 7) to base 13.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 - 5*r. Let n be y(-4). Suppose 0 = 2*a - 4*a + n. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = 3*i - 4, -3*q - 3*i = 0. Let l = q - -6. Is l less than -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.5, -44, 0.4, 13?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-822)\/(-9864) + 0 + 0.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -630990 divided by 210330\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r - 20 = 50*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 13788 + 14119 - 46249 = 0. List the prime factors of x.\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -94\/3. Let o = 0.33 - 0.03. Which is the closest to z? (a) o (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 377 + 359. Calculate the greatest common divisor of y and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26981 (b) -2\/93 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 4. Let p(b) = 14*b + 3. Is p(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*j - 11 - 6, -4*s - j + 11 = 0. Let w be (1 + -5)*1\/(-2). Suppose 14 = -q + w*q. Solve -5*n - 3*h = -7 - 12, s*h - q = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2839177787 + -3.\nAnswer: -2839177790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 20499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + i + 9971661, 33*y - 36*y - 3*i + 5982975 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 8*i**2 - i - 10. Let h be j(-8). Let s be 8*(2 + (-1 - h)). Let v be (-1)\/3 + (-20)\/(-6). Solve -l = 4*a + v*l, 5*a - l + s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3514636*w**3 + 6*w**2 - 1828*w - 6 wrt w?\nAnswer: 21087816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/5 - l**4\/24 - l**3\/6 - 3*l**2. What is i(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 1877*k**2 + 557758*k + 555880.\nAnswer: -(k - 2138)*(k + 1)*(k + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -0.5, -1.5328?\nAnswer: -1.5328","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/1 + -2)\/1. Suppose -w*z = -7*z - 52. What are the prime factors of -1 - ((-1 - -4) + z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**3 - 13*c**2 - 4*c + 4. Let x(t) = -7*t**3 - 13*t**2 - 5*t + 5. Let y(m) = 5*k(m) - 4*x(m). What is the third derivative of y(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8895861*-29.\nAnswer: -257979969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 801 - 797. Solve 0 = -4*v + z - c*z - 32, v + 21 = -4*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 3:26 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41156*z - 24036*z + 1080*z**2 + 5*z**3 + 41200*z.\nAnswer: 5*z*(z + 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 - 2*b + 6. Suppose 0 = 8*i - 10*i + 16. Let h be s(i). Suppose 2413 = 5*p + 2*g, 2*p + 0*p - h = 3*g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6470 + 16*h - 6462 + 20*h)*(-2*h + 3*h**4 + 2*h).\nAnswer: 108*h**5 + 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yffy when four letters picked without replacement from {y: 2, f: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*q - 5263 - 122, 3*q - 5*j - 4010 = 0. What are the prime factors of q?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -27 - (2 + 3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -662*g + 659*g - 3*z, 12*g + 52 = -z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-40)*15\/(-2194). Let i = 62481\/8776 - u. What is the common denominator of -63\/8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/120 - 7*p**5\/60 - 31*p**4\/24 - p**3\/3 - 3*p**2 - 59. Determine b(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.2. Let w = u + 0.17. Let x = 0.14 + w. Round x to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**5\/20 - h**4\/4 - h**3\/3 + 2*h + 8. Suppose 3*f = -j, 0*j = 2*f + j. Suppose i = 3 - f. Give a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 33 - (20 - 11 - 1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 - 9*t + 16. Suppose -59 = -5*z - 84. Calculate the remainder when n(z) is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.7 (c) 3\/4 (d) -2286 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 3298*b + 49495\/3.\nAnswer: -(b - 9899)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -896, -775, -476, 79, 968, 2269, 4060?\n\"Answer: 13*p**3 + 11*p**2 - 3*p - 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139361631*x + 268246247 with respect to x.\nAnswer: 139361631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1120 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/63*2\/(-2))\/(-1*65\/(-2340)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 124.99999802. What is k rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 10, i: 3, m: 2}. Give prob of sequence ml.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -58*-6.6\nAnswer: 382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microsecond in nanoseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 3*u**5\/2 - u**4\/12 - 18*u**2 - 75*u - 55. Let x(l) be the first derivative of s(l). Find the third derivative of x(t) wrt t.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 384 = -280 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22558121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 652099 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 42089488.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17201337*t**3 + 296*t + 650.\nAnswer: -103208022*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 + -104?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 - -197. Solve 2*v = -f*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (354 - 380 - (-1 - 33)) + (-2 - (-35 + -2))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*35\/(-70)*(-13)\/104\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45963 (b) -0.5 (c) 3\/2 (d) -1 (e) -0.108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24, -1792, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4311 + 28.2211. Let p = -28 + d. Let m = 0.71 + p. Which is the closest to 2? (a) 5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20216 divided by -8329?\nAnswer: -20216\/8329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w - 123. Let p be g(24). Solve -15 = -p*n + 120*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-94*3\/18)\/(-3) and 46\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 + 5 - -6) + 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05456804 minus -0.03?\nAnswer: -0.02456804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:54 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.757 + 5.757. Which is the nearest to 1? (a) -0.03 (b) h (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25761970\/2275 - 4\/(-70) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2024723227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 11, t: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6673, -6672, -6671, -6670, -6669?\n\"Answer: p - 6674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/13))**(-1\/2)\/(q\/(q\/(q*q*q**3)*q)*(((q\/q**0*q)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(-75\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.585 times -1.7?\nAnswer: 0.9945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.7*2039803.\nAnswer: 19786089.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 20*o + 106. Give i(-21).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*3 + sqrt(931) + 0)*5)**2.\nAnswer: 372400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2, 2\/3, 4\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 4*c + 3 = -z, 3*z + 2*c = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 5*o - 4. Let t(i) = -3*i**2 - 20*i - 130. Let s be t(-11). Let b = -279 - s. Determine a(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -552 - -1000. Suppose 14*f - y = -2*f. What is the greatest common divisor of 182 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.40772ug to nanograms.\nAnswer: 41407.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5501 and 7.\nAnswer: 38507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*r - r + 14 = 0, 0 = -4*n + r + 16. Let i be 8\/20 - (-58)\/n. Let a = 10 - i. Let b(o) = 2*o**2 - 2*o - 3. Calculate b(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 3*o**2 - 10*o. Let l(x) = -5*x**3 + 10*x**2 - 40*x + 1. Let r(n) = -9*c(n) + 2*l(n). Give r(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, f: 2, n: 1, j: 2, s: 1}. Give prob of sequence bs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2160 and 13392?\nAnswer: 66960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191069 is divided by 965?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-178 - -184) + 5 + 4 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212 + -22001002201?\nAnswer: -22000222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6849584 is divided by 120?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 380 + -519. Let m = b + 150. What is the smallest common multiple of 3 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270883543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31094 rounded to the nearest one hundred?\nAnswer: -31100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -149 + 154 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 75632.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ababbggbbqabgbagbg. What is prob of sequence aab?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (11\/(-44))\/(3\/(-2784)) and 522.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -33.21. Let t = w - -0.01. What is the closest to -1 in -4, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 7*c**2 - 7*c - 52. Let u(p) = p**2 - p - 24. Give 2*n(r) - 14*u(r).\nAnswer: -2*r**3 + 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3755746694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 4*w**4 - 3 - 1 + 12*w**2 - 9*w**2. Let o(n) = -7*n**4 - 5*n**2 - 5*n + 8. Let l(r) = -3*o(r) - 5*t(r). What is the derivative of l(s) wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*s**2 - 21 - 79*s**2 + 9 - 85*s**2.\nAnswer: 3*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.47972nm in meters?\nAnswer: 0.00000005247972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 387229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-4 + 1\/(-1). Let y be (-5)\/((-15)\/(-12)) - -4. Suppose -5*m - 10 - 5 = y. Sort m, 3, p.\nAnswer: p, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 + 518. Let u = j - 258. Which is the nearest to 2\/3? (a) -0.3 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148860.8 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 5, 61\/36, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 28. Suppose -4*l + 44 = -3*m, 5*m + 16 = -5*l + 1. Let g be r(m). Is (7256\/g)\/((-2)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -562133275.\nAnswer: -562133262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwwiw. Give prob of sequence iw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -2)\/(-1 + 2). Let m(q) = -3*q - 17. Let y(k) = 2*k + 9. Let z(d) = -3*m(d) - 5*y(d). Let s be z(2). Solve -r*h + 6 = -s*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggtg when four letters picked without replacement from gbtttgggttgbgtttbttb?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (2 + 15 + -19)) + (4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -107 + 131. Solve k*i - i + 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 10. Calculate p(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + -4 - (-7 + -3 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -74*v - 218. Let p be w(-3). Solve -r - p*t - 17 = 0, -5*r - 5*t - 10 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/4 - 1073*z\/2 - 1151329\/4 = 0.\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + z - 1. Let t be f(-2). Sort 4, 6, t in decreasing order.\nAnswer: 6, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 189, -592, -3, -4 in descending order.\nAnswer: 189, 4, -3, -4, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 1. Let b(q) be the third derivative of -q**4\/24 + 5*q**2. Calculate -7*b(n) - 2*c(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1200 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3256775.\nAnswer: 6513550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/4358120419 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(1\/35) assuming p is positive.\nAnswer: p**(1\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113.88 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 = -16*m + 22*m. Let l = m - 76. Let u(w) = w**3 - w. Let z(x) = 2*x**3 - 5*x + 2. Determine l*u(p) - z(p).\nAnswer: p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from rrnnnnnn.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 57112.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 + -0.287. What is n rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*s + 138*s - 54*s)*(7 - 7 - 17*s**3) to n*s**4 + y*s + x + v*s**3 + o*s**2 and give n.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 73bc (base 14) to base 9\nAnswer: 30340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5402 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 420043\/103590 - -4\/5755. Calculate the common denominator of (-86)\/40 + 1 + 0 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10346 + 20115. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 130*a**2 + 36*a + 56. Let i be c(-26). What is i rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 79.97213 millimeters?\nAnswer: 7.997213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -8, 7, 30, 61?\n\"Answer: 4*v**2 - 5*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-2)*(-20)\/(-30). Let x(v) = 2*v - 14*v + m*v. Let o(d) = 10*d**2. Give o(x(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 157, 136, 83, -14, -167, -388?\n\"Answer: -2*x**3 - 4*x**2 + 5*x + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*((-3315)\/26)\/(-51).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. Let r be a(1). Which is bigger: r or -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 54*t**2 - 89*t + 4740. Calculate w(54).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9920 = -2*o, 2*o = -24 + 14. What are the prime factors of z?\nAnswer: 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*w + 256*w + 424*w = 12672 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14*(156\/(-63) + 2)*-9. What is the highest common divisor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-six fifths of a millisecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 235?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 - 111. Let a(q) = 87*q**2 - 4*q - 5 - 169*q**2 + w*q**2. Calculate a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230\/805 - (0 - (-75)\/(-7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - s + (3 + 4 - 5)*(-s + 2*s - 2*s))*(2*s**4 - 3*s**4 + 8*s**4).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 - 195 - (-15 - (6 - 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -9596076 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g + 155. Calculate n(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1595782 = 44*y + 409410 - 955636. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -26, -34, -58, -104, -178, -286?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2611186999.\nAnswer: 29, 1327, 67853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2\/7, 43, 64, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 8 - 10)*(-5*d + 2*d + d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268610 = -a + f - 4*f, 5*a - 3*f - 1343032 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let t(i) = -4*i - 13. Let f(r) = -2*r - 6. Let q = 41 - 38. Let b = 126 + -133. Let j(d) = b*f(d) + q*t(d). Calculate y(j(n)).\nAnswer: 4*n**2 + 12*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/30 + k**2. Let u(d) be the third derivative of 69*d**2 - 11\/24*d**4 + 0*d + 0 + 0*d**3. Calculate q(u(o)).\nAnswer: -242*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -153 and 3961352?\nAnswer: -606086856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -0.5, 0.07, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 - -32218624715.\nAnswer: 32218624715.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*h**6 + 20*h**5*t**2 - 7*h**2*t**2 - 3*h*t**2 + 66*t**2 wrt h.\nAnswer: 2160*h**3 + 1200*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 + -2. Let p be (-65)\/(-12)*(4 + -5). Let u = 17\/3 + p. Sort u, 4, n.\nAnswer: n, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 + 408112*f\/5 + 408116\/5.\nAnswer: -4*(f - 102029)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/3 - 115*t**3 + 891*t**2 + 7781*t\/3 - 3370 = 0.\nAnswer: -3, 1, 10, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88485 and 11451.\nAnswer: 973335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -10*o + 8*o. What is the remainder when 1*11*(o - -2) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2271\/13 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -63373207.\nAnswer: -5703588.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y - 4*m + 80 = 0, -y + 23 = -2*m. Suppose 0*z = 5*z - 2*l + 105, y = -z - 4*l. Calculate the least common multiple of 6\/z + (-72)\/(-7) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0124 - 0.6.\nAnswer: -0.5876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -64*w - 7. Let b be s(5). Let h = 726 + b. What are the prime factors of h?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-10)*(4\/(-6) + -2). Let i(q) = -9*q + 38. Let k be i(y). Suppose -420 = -k*p - 56. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -33*a - 251. Let r(g) = -16*g - 125. Let p(i) = -9*r(i) + 4*x(i). Let z be p(-10). Is -2\/251 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*c + 20, -2836*p + 58 = -2833*p - 4*c for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359*t**3 + 31*t**3 - 1954*t**3 + (-3*t + 0*t + 5*t)*(-4*t**2 + t**2 + 0*t**2) to w*t + b*t**3 + c*t**2 + i and give b.\nAnswer: -2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.066 + 1.106. Let j = -0.04 + t. Which is the third smallest value? (a) j (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -27*u + 613\/90*u**5 - 16\/9*u**2 + 7\/27*u**7 - 236\/27*u**4 + 148\/27*u**3 - 322\/135*u**6 + 0. Suppose d(b) = 0. Calculate b.\nAnswer: 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123327117 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-17 - -18)) + -19 - (0 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000079896 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03237 take away 0.4?\nAnswer: -0.43237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -29*t**2 - 14*t. Let r(b) = -4*b**2 - 2*b. Let s(q) = -5*p(q) + 35*r(q). Let v(j) be the second derivative of -j**4\/6 - j. Give s(v(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 13\/2 (b) 2 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 184386 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1173*c**2 - 2*c*x + 36*x + 14 wrt c?\nAnswer: -2346*c - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Let b(v) be the third derivative of -v**5\/20 + 3*v**2. Calculate m(b(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 20 = 2*r, -98*r - 11 = u - 99*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -96755*m. Let v(j) = -j + 48. What is v(f(c))?\nAnswer: 96755*c + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1480 and 416055232.\nAnswer: 2080276160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y + 6. Let a(q) = -4*q - 5. Let o(m) = 4*a(m) + 3*d(m). Let x be o(-7). Let f(r) = 2*r - 1. What are the prime factors of f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 2*k**2 - 9*k + 5. Calculate w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + -1 - 45\/(-72) - 9. Which is the nearest to -1\/4? (a) l (b) -0.3 (c) -1964\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 1:31 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3356.41l?\nAnswer: 3356410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77634 - 77636 + 310538 + 3*b**2 - 77637 - 77631.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 161 (c) -2.7 (d) -0.5 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 255 - 106. What are the prime factors of k?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 73*u + 3213. Suppose 3*z + 84 = -z. Let n = z + 39. Calculate the smallest common multiple of n and i(-44).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-12))\/(1\/2*-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, -0.08, 0.2, 35156?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 151*x**4\/4 - 2*x**3\/3 + x**2\/2 - 13*x - 101. Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = -4*k. Let v(a) = a + 1. Let x be v(-6). Sort x, -3, k.\nAnswer: x, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {c: 1, t: 4, g: 1, e: 2, k: 2, z: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -22183?\nAnswer: -22182.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -12*i**5 + 423*i**4 - 4149*i**3 + 15231*i**2 - 20187*i + 4158 = 0?\nAnswer: 1\/4, 3, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-19)\/2 + 5. Which is the second biggest value? (a) k (b) -0.1 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 26159.4522ns?\nAnswer: 0.0000000000432530625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*t - t - 3 = 0, -3*l - 5*t = -8. Let a = 14 - -3. Let q = l + a. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146 a factor of 3043184658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 44*d**2 - 437*d - 1058.\nAnswer: -(d - 23)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (38 + -47)\/(2\/6 - 42\/124) and 1023?\nAnswer: 18414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**2 - 207*u - 852. Determine z(-4).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19222 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**7\/105 - c**6\/60 - c**5\/5 + c**4\/3 + 8*c**3\/3 + 7*c**2 - 3*c. Factor t(d).\nAnswer: 2*(d - 2)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -23*r**3 - 34*r**2 + 85*r + 61. Let n(v) = 10*v**3 + 17*v**2 - 42*v - 30. Let d(i) = -3*m(i) - 7*n(i). Determine d(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -133\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4212 + 17245. List the prime factors of q.\nAnswer: 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 2:35 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**13*h**36)**(-2\/13) assuming h is positive.\nAnswer: h**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, -3, 5, -5, -18, -57 in increasing order.\nAnswer: -57, -18, -5, -4, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3070 + -1997. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*v - 5*v, 4*v + 12 = 0. Solve -n = -5*a - 22 - h, -2*n - 4*a - 10 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 10*m = 5*m. Suppose -8*u - 4*u + 36 = m. Solve 3*h = 5*n + 1, n + u*n - h + 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let m = -12 - -11.2. Let d = m - t. What is the closest to 1 in 0, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27089 by 131.\nAnswer: -27089\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -18, -1\/68, 0.33, 215 in ascending order.\nAnswer: -18, -0.3, -1\/68, 0.33, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-45))\/((-2)\/20). Suppose -45 = -4*v - 3*o, 1 = -5*v - 5*o + 56. Suppose 4*u - 36 = v. Calculate the highest common divisor of q and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/5 + 28*z**3\/5 + 32*z**2\/5 - 28*z\/5 - 6 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*(-6)\/(-135) - (6 - 8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 83. Give b(13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -799 - -999. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**11*q**(2\/5)\/q*(q\/(q*q\/(q*q**(1\/9))*q))\/(q*q**(1\/14)))**4)**(-10) assuming q is positive.\nAnswer: q**(-23788\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(2\/9))*q**6)**(-50)*(q**6\/((q\/(((q*q\/(q*q*q\/(q**1*q)*q))\/q)\/q))\/q*q))\/(q\/(q**3\/q)*q**(-5)) assuming q is positive.\nAnswer: q**(-2719\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7125350 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/16 + (-6)\/28. What is the second smallest value in v, 3, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2961732.718 rounded to the nearest 10000?\nAnswer: -2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/8 and 59\/380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3023 - 1862. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2039.426 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-36) + 3)\/((-1)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 4*c - 5. Let k be o(2). Let w = k - 9. Suppose -w*j = 1 + 7. Is j at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14518711 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/2301 and -17\/1770.\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 217*p - 3956. Let j be w(17). Solve -j = 28*u - 22 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11461729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1858820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (74905\/(-1266))\/(5\/3). Do -36 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 - 1380*n**3 - 53364*n**2 - 101184*n = 0.\nAnswer: -34, -2, 0, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83)\/(-4)*(-48)\/(-1200) + 6\/(-8)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 + -1.1. Let p = -2 - -2. Let x = p + b. Sort x, -5, -2 in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3259 and 2?\nAnswer: 6518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2 + 56*c + 52 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -272933.0753 rounded to the nearest 10?\nAnswer: -272930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89511*u + 4884 wrt u.\nAnswer: 89511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/232 or 99?\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -735 by -8.\nAnswer: 735\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + 48. Let x = -54 + n. Let p = -41.0000128 + x. Round p to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teq when three letters picked without replacement from {f: 2, q: 3, h: 2, t: 1, e: 12}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 10*m - 18. Let w be r(-6). Let q be (-52)\/20 + 3 + w\/35. Suppose -j + 3*j = -4. Which is the nearest to 1\/4? (a) -1\/4 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67\/321)\/((-49137)\/(-1584) - 31) - (8 - -2).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3\/5 (c) 9\/3767 (d) 9 (e) 5 (f) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -379*s**4 + s**3 - 8*s**2 + 4*s - 188642 wrt s.\nAnswer: -1516*s**3 + 3*s**2 - 16*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92848746.\nAnswer: 2, 3, 23, 672817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-16))\/((-3)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 8:50 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 417892 divided by 10\nAnswer: 208946\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 340 = f. Let c = 12487\/2394 + 73\/171. What is the common denominator of c and (f\/24)\/5 + -2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*c + 51*c - 24*c)*(0*c**3 + 0*c**3 + 2*c**3) in the form h*c + l*c**2 + j + x*c**3 + g*c**4 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 46.1, 3, 4, -2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-5 - (7 + -4 - 2)) - -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 53327?\nAnswer: 53326.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 14. Let z be y(0). Let f = -12 + z. Differentiate f - 3*c - 4 + 7 wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12975 + -12963. Solve -2*b - 2*y = s, b + 48*y - 46*y + 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*(0 + -1 + 3). Solve 0*h - 15 = -t*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 1\/6 (c) -113\/4 (d) -0.07 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 33 + 1\/3*t**3 - 16*t - 3*t**2. Factor g(r).\nAnswer: (r - 8)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-22)\/s**(4\/11))\/(s**(-2\/7)\/(s\/(s**(4\/3)*s))) assuming s is positive.\nAnswer: s**(-5408\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -222202404 (base 5) to base 6\nAnswer: -32523310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 7*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 3087?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2\/29)*b))\/b*b*b*b**(-9)*b*b*b*(b\/b**1)\/((b*((b*b\/(b**(-1\/3)*b)*b)\/b*b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-632\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1572*n**3 - 2870*n**2?\nAnswer: -9432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/58? (a) -4 (b) 1\/9 (c) -0.03 (d) 2\/9 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - (-254)\/(-7). Calculate the common denominator of 16\/72 + 50\/v and -97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 p, and 1 v when four letters picked without replacement from {j: 6, w: 2, b: 6, p: 2, e: 1, v: 1}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdfs when four letters picked without replacement from fffdfvdvdffodfvsf.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28280753*-3\nAnswer: -84842259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 + 1. Let b(z) = -3*z**3 + z**2 + 4*z + 5. Let i(n) = b(n) - 2*w(n). Let k be 12\/5 - (-2)\/(-5). Suppose -k*h + 15 = -7*h. What is i(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -12)*(-2 + -1). What is the tens digit of ((-3960)\/27)\/((-10)\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 31\/6, 1\/7?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130985144 divided by -16373143?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 22 = -7*k. What is the least common multiple of k and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748437 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/(-3))\/(-1*12\/15)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 206 + 89)*((3 + 2 - 3)*(-n + 0*n + 0*n) - 2*n - 2*n - 3*n + (4 + n - 4)*(-4 + 3 + 0)).\nAnswer: 840*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 3247300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 5012?\nAnswer: 5012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -7, 4, -223, 6 in increasing order.\nAnswer: -223, -7, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 18. Let y = -3 + n. Suppose y*x - 82 = 28. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from nhhhhahhhhdha.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -15\/22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.6, 875.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 745 + -749. What is the nearest to 5\/2 in -3\/5, t, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 0.6 (b) 937 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 8, 3*v + 1 = 5*p. Put -4, 4, 1, v in decreasing order.\nAnswer: 4, v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 28, 66, 132, 232?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/5 + -6\/5. Let c = -34672 + 34674. What is the closest to -1\/2 in c, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00081065 rounded to six decimal places?\nAnswer: -0.000811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13131 (base 5) in base 12?\nAnswer: -729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17848713 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:36 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ba (base 14) to base 8.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*t - 22, 5*w = -3*t - 23 + 5. Let r be (1\/5)\/(3*w\/36). Which is the nearest to r? (a) -1\/2 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)\/q**2*q**4*q\/(q\/q**7*q))**(-42) assuming q is positive.\nAnswer: q**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*i - 25 + 3 = 0, 4*i + 26 = 3*q. Let t = q + -4. What is the greatest common divisor of t and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(4\/(-4))*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19133103 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 17*z**2 + 32*z + 7. Determine r(14).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2*2)\/2)\/(76\/(-190)). Calculate the least common multiple of (-10)\/v - 52\/((-20)\/5) and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9770*q**2 + 18731*q**2 - 8968*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241717633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92297040 and 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 3. Let c(d) be the second derivative of 5*d**3\/6 - 5*d**2\/2 - 171*d. Determine -4*c(b) + 7*o(b).\nAnswer: -6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let j(v) = -v**3 - 2*v**2 + 1. Let w be j(s). Let l(p) = 10*p**2 + 1. What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 20 = 0. Suppose t*v + 48 = 3*n, -2*n + 4*v = -4*n + 32. Suppose -c - n = -5*c. Solve -3*f = -c*y + 12, 5*f + 5*y + 3 = -17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1368143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -14 - 6. What is the greatest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2062*m - 2028*m + 69, 14 = -5*m - 4*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10922.91 + -10805. Let y = c + -118. Which is bigger: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/945)\/(4\/(-14)) - (-6888)\/(-410).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 2:54 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 8691*w\/4 + 1180413.\nAnswer: -(w - 9204)*(w + 513)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**7\/42 - l**3\/3 - 3*l**2\/2 - 4. Let c(w) be the second derivative of u(w). What is the derivative of c(i) wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019429757 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 484*o**2 + 227*o**2 + 269*o**2 + 14*o + 15. Determine a(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 74 + 0*v**2 - 4*v**3 - 2*v**4 - 68 + v**3 - 2*v in the form y*v**4 + s*v + j*v**2 + x*v**3 + n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-17))\/((-417)\/9452)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/12 + (-28)\/(-21).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/9 (b) -0.4 (c) -2 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - f = -4*d - 21, -4*d + 5*f = -77. Let t be ((-10)\/(-55) + d\/(-11))*-5. Solve -5*q - 5 = 5*l, -2*q - t = 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 1\/19 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-8) - 0)*-2. What is the units digit of (3 - 8)*(-18)\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n**6 + 0*n + 1\/112*n**8 + 0 + 0*n**4 - 1\/20*n**5 + 0*n**3 + n**2 + 0*n**7. Find the third derivative of b(a) wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 6) to base 7.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 2, n: 1}. What is prob of picking 2 f and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*2 + sqrt(44))\/(sqrt(4) + sqrt(32)\/(sqrt(24)\/sqrt(3))).\nAnswer: 13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + 181. Calculate the lowest common multiple of 6 and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -463*q**3 + 2*q**2 - 3*q - 3. Let b(a) = -465*a**3 + 2*a**2 - 4*a - 4. Determine 3*b(o) - 4*s(o).\nAnswer: 457*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-36) + 3\/3. Let y = 31 - 26. Suppose -x - 4*w + 4 = w, -3*x = -y*w + 8. Which is bigger: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44514.\nAnswer: 2, 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13954 - 17915 = 22*g - 77551. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**3\/y))\/y)\/(y\/(y*y\/y**4)))**23 assuming y is positive.\nAnswer: y**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17930, -35862, -53794?\n\"Answer: -17932*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56 plus 6009.3?\nAnswer: 6009.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1240 + 1233.31. Let u = 0.0788 - -0.0312. Let p = u - q. What is p rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 806784.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*a - 12 = 2*r, 4*r - 16 = -4*a. Suppose 3*z - 7*z + 16 = 0. Let u(p) = p**3 - 5*p**2 + 4*p + 2. Let l be u(z). Put 0, l, r in descending order.\nAnswer: l, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 60*i**3 - 2*i**2 + 2. What is n(1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21810799 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-29)\/(-2) - -7)*(-8)\/(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1614\/7 + 231. Which is the second biggest value? (a) 1 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (26 - 24) + (-7 - -1) - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 + 368 - 45*v - 25*v - 1106 + 372.\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/105*9\/8)\/((-6)\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, 2\/9, 3, 2\/19 in descending order.\nAnswer: 3, 2\/9, 2\/19, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/5)\/2*5\/2. Suppose 111 = m + 3*d, -504 = -5*m - d + u*d. Let a = m - -17. Is 41 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 6*j - 3. Let l be b(-5). Suppose -3*u + 5 = -l*u. Solve -3*t - 3 = -2*w + u, -4*w + 14 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -0.3 (c) 10\/11681 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 135. Suppose 2*g = -g + l. Suppose -5*h + 11 = -4. What is the highest common divisor of g and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 5*x**3\/3 - x**2\/2 + 2*x - 1. Let w = 27 + -25. Does 7 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059721?\nAnswer: 2059721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - t**2 + 7*t + 8. Let p be z(-1). Solve -6*x + 23 = -p*j - 11*x, 0 = -2*j - 3*x - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21477700 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 - -46. Suppose -11*c + 132 = 110. Let v(k) = 6*k**3 - 33*k**2 - 33. Let j(w) = -w**2 - 1. Give b*j(r) + c*v(r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 927195*a**5*m + 150*a**3*m + 12*a - 18171861*m wrt a.\nAnswer: 18543900*a**3*m + 900*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 52. Let l(z) = z**3 - 6*z**2 - 8*z + 9. Let u be l(o). Which is the closest to -4? (a) u (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213026 and 396704.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) - -2*sqrt(312))\/sqrt(6))\/(5*(sqrt(16) - sqrt(4))) + -3 + 1 + sqrt(325) + -4.\nAnswer: -6 + 28*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 14. Calculate the smallest common multiple of 9 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.68 times -0.4?\nAnswer: -12.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 + 284.673. Let m = h + 0.227. Which is the biggest value? (a) 0.3 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -46984*y + 498. What are the prime factors of s(-1)?\nAnswer: 2, 23741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -246? (a) 0 (b) 0.4 (c) 5 (d) 6438 (e) -2\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 932, 1875, 2834, 3815, 4824, 5867?\nAnswer: 6950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in ninety-one halves of a century?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v + 2. Let x(g) = 9*g - 5. Let d be 12\/4 + (3 - 2)*-1. Calculate d*x(u) + 5*l(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288 is divided by 161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453191878 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k - 88 = 0. Suppose 19 = -4*m + 59. Suppose 5*s = -5*n + 75, -2*n + 43 = 3*s + m. Calculate the lowest common multiple of n and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -890890 divided by -10010?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-5 + -1*1*sqrt(19))*-2 + 4)*-4 + 1)**2.\nAnswer: 800*sqrt(19) + 3716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 50*g + 57*g + 57*g + 43*g - 195*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 61490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 116701.\nAnswer: 233402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1671693\/95 or -17597?\nAnswer: -17597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(0 + 1 - 3)*(7*v + 14*v + 8*v).\nAnswer: 116*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - s = 4*s - 132 - 74, -5*u + 5*s - 2*s = 124 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, 1\/16, -2\/5, -2 in descending order.\nAnswer: 3, 1\/16, -2\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 75) + 15 - ((1 - (20 + -4)) + 6)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aka when three letters picked without replacement from {k: 1, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7886089842 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**5*u**(2\/7)*u**5\/((u\/u**(1\/3))\/u*u))**(-14))**38 assuming u is positive.\nAnswer: u**(-16948\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - b + 2. Suppose 4*c + 3 - 15 = 0. List the prime factors of l(c).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/5 - 75307*a\/5 - 8975694\/5 = 0.\nAnswer: -119, 75426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-40654.5\nAnswer: -8130.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1246)\/3471*3\/(-7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3, 0*s + l = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 3 - 7, 4*k + 5*j + 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = w, -1405982 = 3*w - 13*q - 1406033 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzprzp. Give prob of picking 1 r and 1 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163404 + 163315. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16066268 - 32132539 + 16066271 + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44, 204, 472, 848, 1332, 1924, 2624?\n\"Answer: 54*q**2 - 2*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 1:43 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -180, -268?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2755599 and -71\/279048.\nAnswer: 22044792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + o = -84, 2*b - 27*o = -23*o + 48 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/24)\/((-3)\/8))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 146, 273, 410, 563, 738?\n\"Answer: i**3 - i**2 + 123*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = -4*p + 11, 6 = -3*p. Suppose 2*k - 4 = 4*w, 0 = -5*k + 4*w - 0*w + 4. Solve u = -3*j - 4*i, 4*j + i + k = 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - 60\/(-8) - 14\/(-4). Solve p*d = -d, -5*n - 20 = 4*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70.025 - -0.025. Let d = 69 + l. Which is the smallest value? (a) -5 (b) d (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Let k = -0.7 - 1.3. Sort 4, k, s in decreasing order.\nAnswer: 4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55465.61 litres in millilitres?\nAnswer: 55465610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 624?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13410*k - 53643. What is d(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 16*n = 7*n + 802164. List the prime factors of n.\nAnswer: 2, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/(1504\/(-58656)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163888487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(3) + sqrt(21))*3 + sqrt(21) + sqrt(2541)*2)\/(-6*(sqrt(300) - (sqrt(300) + (sqrt(300)*1 + sqrt(300) - sqrt(300))))).\nAnswer: 29*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(135)*-1 - 2*(sqrt(135) + 1*sqrt(135)))\/(6*sqrt(125) - (sqrt(80) + (sqrt(80) + sqrt(80) + sqrt(80)*-3 - sqrt(80)))).\nAnswer: 3*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 2 + 2)*(0*r + 3*r - 4*r) - 54 + 54 + 12*r.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -35*g**3 + 1891*g - 62 - 87*g**2 + 387*g + 790*g + 36*g**3 - 545*g. Find n, given that i(n) = 0.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1990*i**3*t**2 - 2*i**2*t**2 - 315*t**2 wrt i?\nAnswer: 11940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415538589 to the power of 1\/3, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**3 + 7*d**2\/2 - 5*d - 2771. Give u(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/84 and -107\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141686 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 2, 5, -4.\nAnswer: -85, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 14 = 2*h - 14*k, h + 2 = -3*k. Solve -3*d = -h*c, d + 5 = 3*c - 0*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124266078 greater than or equal to 124266078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Suppose -4*z - i*h + 1009 = 0, 4*z + 2*h + 123 = 1117. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -484.6907 + -0.5.\nAnswer: -485.1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -52614 (base 12) to base 10\nAnswer: -108016","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*m + 356 = 340, m - 8 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12113, 58050, 134611, 241796, 379605?\nAnswer: 548038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146495 and 1765.\nAnswer: 146495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/w**(-5))**(18\/5) assuming w is positive.\nAnswer: w**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6642 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13277895 - 13276995 = 25*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*d - 5*q, q = -310*d + 316*d + 61 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23\/6, -1\/12, -10, 2, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*a - 2, 0 = 5*s - 0*a + 5*a - 10. Is 78 + 0 + (6 - s - 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 81\/29, 5, 0.4, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (527240\/(-245))\/((-2)\/(0 + 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-32)*k)*k*k**(2\/21)*k*k**(-35)*k*k*((k\/((k*k**22*k)\/k))\/k)\/k assuming k is positive.\nAnswer: k**(-502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 24*p**2 - 166*p - 820. Determine i(-17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -92. Suppose -183 = u*t - 178. Let f be -2 - 0 - -6 - t. Solve f*m - 3*m + 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234429, -234638, -234847, -235056, -235265, -235474?\nAnswer: -235683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3862, -6252, -10244, -15838, -23034, -31832, -42232?\nAnswer: -54234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1326 divide 4386674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Suppose -3*w = -2*w + u*j - 14, -w + 6 = j. Suppose 16 = 3*h - w*f, -h + 0*f = -2*f - 6. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*m - 441 - 1040 = 0, 5*a - 2477 = 4*m. List the prime factors of a.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 18. Suppose -335 = -5*q - 70. Let g = 267\/5 - q. Which is the closest to 0? (a) g (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a - 3*b, 3*b = 5*a - 3 - 1. Suppose -2*z - 3*o + 9 = z, 3*z + o - 17 = 0. Calculate the lowest common multiple of z and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 + 1013\/7. Let y = 0 - -3. Let c = 1 - y. Sort u, 1\/3, c in ascending order.\nAnswer: c, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*h + 4, -3*j - j + h = -10. Sort -5, -8, j.\nAnswer: -8, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + -0.1. Let a(x) = -x**3 - 10*x**2 - 13*x - 12. Let n be a(-8). Let p = -177\/5 - n. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i**(-7\/2)*i*i)\/i)\/(i**(1\/39)*i*i)*(i\/i**(4\/7))**(2\/9) assuming i is positive.\nAnswer: i**(-781\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 2\/9, -14.9 in decreasing order.\nAnswer: 5, 1, 2\/9, -14.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 17. Sort -4, -11, c in descending order.\nAnswer: c, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -2*a. Suppose -12640044 - 10359956 = a*b - o, -4*o = 0. What is b rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3 - 3 + (2 + 0 + f + f)*(-6 - 3 - 46))*(-5*f - 2*f + 3*f).\nAnswer: 436*f**2 + 440*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, e: 4}. What is prob of picking 2 v?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 420 divided by 5\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -57*n. Let a(z) = 18*z**2 - 4*z**2 - 17*z**2. Determine a(w(i)).\nAnswer: -9747*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*b + b - 154, -25 = -5*o. Let y(s) = s**3 + 12*s**2 - 7. Let p be y(-9). Let x = p - b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 23 - 25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 5*s + 1. Let f(o) = 4*o**2 - 63*o + 1. Determine 2*a(h) + f(h).\nAnswer: 2*h**2 - 53*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Suppose 90 = -5*u - 2*m, -3*u + 0*u - 65 = -m. Let f = u - -79\/4. What is the closest to 0.2 in -3, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212170 divided by -5?\nAnswer: -242434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*t + 356*t + 0 + 0.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-3))\/2)\/((-35)\/(-21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -41*g**3\/3 - 129*g**2\/2 - 2. Find the second derivative of f(x) wrt x.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10673 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -1 + -33 + (-273 - -278).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/((w*w\/(w\/w**(-17)*w))\/w)*w))\/w**(-7\/4)*((w*w\/w**(-5)*w)\/w*w)**(-26))**(2\/9) assuming w is positive.\nAnswer: w**(-905\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*h - 55*h + 96 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1266.1 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-18))**(1\/17))**(-28) assuming q is positive.\nAnswer: q**(504\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-154)*(6\/(90\/85) + -5)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.0942409 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 334782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*y + 850 = -38*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v - 163. Determine w(4).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9846087414*g + 9846087414*g - 29*g**3.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-18)*-3)\/(2\/9). Let t be (-5 + (0 - -2))\/(-7). Which is the closest to 1? (a) 1 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -10*q - 446854, 4*p - 708429 = -5*q - 261530. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 1215280394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377 (base 13) in base 12?\nAnswer: 2a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -74. Let f = 2.3 + 0.7. Let v = f + -6. What is the biggest value in a, -0.4, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -7*g + 168. Let s = g - 23. Let o = -0.127 - -0.327. Sort s, 2, o, -1\/4 in descending order.\nAnswer: 2, s, o, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*l + 109*l + 39*l - 2*l**2 + 1 + 2*l**2 + 2*l**3 in the form d*l + x*l**2 + v*l**3 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 18*v + 40. Which is the smallest value? (a) -0.3 (b) -2 (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 + 237.5. Let y = -0.1 + 0. What is the nearest to y in 9, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1643943, 3287913, 4931885, 6575859, 8219835, 9863813?\nAnswer: 11507793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 2*w + 3*w = -102 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 31 = -4*x - 3*w, x - 3*w + 2 = 0. Let i be 1\/((x + 2)\/27). Let q(a) = a**3 + 9*a**2 + 3. Let r be q(i). Solve m = 0, y + r*m = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -8. Calculate the least common multiple of 8 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*w - 6, 0 = 4*q + 4*w. Suppose 2*c - t = -2*c + 15, 3*t - 10 = c. Put c, 0, 14, q in increasing order.\nAnswer: q, 0, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/13 - (-1 - 1). Suppose 5*q = j - 48 - 211, 0 = 3*j - i*q - 765. Let o = -3300\/13 + j. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30463917 divided by -31.\nAnswer: -982707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1\/((-1)\/(-4)). Suppose -4*n + g = -20. Suppose 5*q + w - 21 = 0, -q - n*w + 9 = -w. Calculate the least common multiple of 2 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269731 divided by 69\nAnswer: -269731\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 12, 4, 3 in increasing order.\nAnswer: -12, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/3)*g*g)**(-10\/9)*(g**7*g*g*g)\/g*g**(-3\/10))**(-9\/8) assuming g is positive.\nAnswer: g**(-1349\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*g - g - 3*c, 4*g = 4*c + 28. Solve g = -4*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -133, -162, -193, -226, -261, -298, -337?\n\"Answer: -j**2 - 26*j - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(52))**2 - -5*1*sqrt(13))*1 - (((sqrt(13) + -1)*-1 - -4*-2*sqrt(13))**2 + 4))*-2.\nAnswer: -46*sqrt(13) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1092162 (base 10) to base 2.\nAnswer: 100001010101001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 - w - 1. Let t be v(2). Let m(a) = 181*a + 6. What are the prime factors of m(t)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9768 is divided by 296.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112211 + 133222?\nAnswer: 312033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 33*z = 390. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + -1*75\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -10. Let a = 7 + -4. Let h be (-16)\/(a + o - 2). Solve -4*z - u + 10 = 0, u = -3*u - h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19304 is divided by 6240?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -20 + 21 + -31 + 13.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73378222?\nAnswer: 2, 17, 2158183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 5 in descending order.\nAnswer: 11, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/49, -2, -0.3, 1, -1 in ascending order.\nAnswer: -2, -1, -0.3, 1, 71\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191353 is divided by 326?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9418626 divided by 1.\nAnswer: -9418626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26981\/10948 + 28\/391. Find the common denominator of r and (1\/(-40)*171)\/(3\/(-2)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2122771115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*q + 16*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -13, 0.5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from {m: 1, s: 4, p: 6, q: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - u**2)*(3 + 2 - 2)*(4*u - 4*u - u) to the form n*u**3 + k + i*u + o*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -534613214 + -4?\nAnswer: -534613218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79382 = -55*y - 77787 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x. Let m(g) = 4*g**2 - 10*g + 5. Let r(o) = 3*o**2 - 8*o + 4. Let y(u) = 4*m(u) - 5*r(u). Determine y(f(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t + 6 + 5*t - 8*t - 1 - t + 1 - 4*t + 3*t + 0*t + 3*t - 4*t + 3*t + 0*t + 4*t - 5*t + (3 - 1 - 1)*(0 + 0 + t) + 2*t + 3 - 3.\nAnswer: 3*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 30 + 18 = -5*b, 2 = -o + b. Which is smaller: 5\/12 or o?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8813747 plus 11979.9?\nAnswer: 8825726.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 + 8 - 8 + (-2*u**5 - 2*u**5 + 3*u**5)*(-5 + 3 + 3) - 7*u**5 + 9*u**3 - 9*u**3 - 13*u**5 + 11*u**5 - 18*u**5.\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 10 = -2*s, -4*p - 2*s + 234 = 0. Suppose 2*d - 2*u - 40 = 0, 44 = 4*d + 3*u - 43. Calculate the remainder when p is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2875899*w**2 + 2875897*w**2 + 1 + 1. Let b(x) = -x**2 + 6*x + 11. Let u be b(8). Let r(k) = 4*k**2 + k - 4. Calculate u*z(q) - 3*r(q).\nAnswer: -2*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3977*a - 8. Let d be b(-4). What is d rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 13*v**2 + v - 27. Let x be h(13). Is (-156)\/(-91)*15\/(-4)*x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222783 is divided by 15912.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29328 + -14715. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -332, -646, -1000, -1412, -1900, -2482, -3176?\n\"Answer: -3*t**3 - 2*t**2 - 287*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((-2)\/4)\/(12\/24). Suppose g = 2*m - m - 60. Let i = -50 + m. Solve 0 = -2*u - u + 3*b, -2*u - 3*b + i = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/12 - 9*i. Let b(g) be the third derivative of g**4\/6 - g**2. Give b(a(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56151 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8804 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 1:12 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101000010011111001 (base 2) in base 5?\nAnswer: 220422140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 19. Let h be (-8)\/(-32) - (-11)\/p. Suppose -3*x = -4*z - 4, -z - 4 = -2*x + h*z. Which is greater: 2\/9 or x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, -5, 0.2 in ascending order.\nAnswer: -5, -2, -2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/169212 and -127\/21510.\nAnswer: 2538180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) 1\/312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3276859974 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 969*a**3 - a**2 - 10*a + 10. Is 44 a factor of n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*r**4 + 523*r**3 + r**2 - 2908226*r?\nAnswer: 1992*r**2 + 3138*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 1 + 1)*(165 - 17*n**2 - 165)*(-10 + 10 - 2*n).\nAnswer: 34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p + 8 = 34*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 49. Let a be f\/6 + ((-84)\/(-9))\/7. Which is greater: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/(10 - -1))\/((-8)\/(-2) + -3). Sort -10, -38, p.\nAnswer: -38, -10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 479, 976, 1605, 2438, 3547, 5004, 6881, 9250?\n\"Answer: 12*q**3 - 6*q**2 + 431*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3852 (base 10) to base 15.\nAnswer: -121c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1239 and -34\/2079.\nAnswer: 122661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/115 and 32\/239695.\nAnswer: 5512985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.2, 7\/6, -8, -2?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -52*s**3 + 2*s**2 - 4*s. Let b be n(-3). Suppose 0 = 3*z + 2*z - 10, -b = -4*q - z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262*j**2*v**3 - 46*j*v**3 wrt j.\nAnswer: -524*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 = 50*v + 66 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*o = 165*o + 2*x + 3, 23 = -5*o - 2*x. Let m(c) = -c**2 - 4*c - 6. Let f(r) = r**3 + r**2 + 3*r + 5. Give o*m(s) - 6*f(s).\nAnswer: -6*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - ((1 + sqrt(19))**2*3 + sqrt(19))) + -3)*5 - ((-5*(sqrt(133) - (sqrt(133) + sqrt(133)*2)) + sqrt(133) - sqrt(133))\/sqrt(7) + -2).\nAnswer: -313 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - q = 20*a - 1, 3*a - q = -17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + 7 + (52\/20 - (-2 - 0)). Factor 2\/5*p**3 + 0*p + 0*p**2 + 1\/5*p**5 + m*p**4 + 0.\nAnswer: p**3*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -880\/7, -0.05, 1, -9, 0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjj when three letters picked without replacement from wfkcbckjj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -i + 2*i - d, 5*i - d - 19 = 0. Suppose -i = -4*u + u. Let c(x) be the third derivative of -x**6\/24 - x**5\/60 - 3*x**2. Give c(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 0 (b) -0.2 (c) 1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 39*t - 25*t + 49*t to m*t + a*t**2 + y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4121 - 4120.9999997492. Round v to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 45*u**2 + 17*u + 26. Let c be x(-22). Let l = 111 - c. Which is smaller: -26 or l?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1489 - 1485. Let w = -14 + 12. Sort z, 5, 7, w in ascending order.\nAnswer: w, z, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, k: 2, i: 4}. Give prob of sequence krik.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 divided by -5.\nAnswer: 332\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/21 - 11428*p**4\/21 + 206392*p**3\/21 + 229244*p**2\/21 - 206390*p\/21 - 217816\/21 = 0?\nAnswer: -5732, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 4, -6, 11903, -1 in increasing order.\nAnswer: -6, -1, 0, 3, 4, 11903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*7\/(((-546)\/6)\/(-13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 690 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 f, 1 c, and 1 t when four letters picked without replacement from {f: 1, c: 1, t: 2, i: 2, h: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + ((5*sqrt(175)*2)\/sqrt(5))\/(-1*sqrt(63)*-4)))**2.\nAnswer: 125*sqrt(5) + 11225\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**3. Let a(o) be the second derivative of o**5\/20 - o**2\/2 + 3*o + 10. What is 6*a(r) - c(r)?\nAnswer: 2*r**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10620*p - 40. Let n be d(8). Round n to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -29. Let q(r) be the first derivative of r - 2 - 7\/2*r**m. Give q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6*w - 6. Let x be d(-4). What is the third derivative of v + 12*v**6 - 20*v**6 + 5*v**x - 32*v**6 - 2*v**2 wrt v?\nAnswer: -4800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-276)\/(-9). Suppose -7 + s = 2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -728*l - 4361. Determine q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 3. Let r(j) = -13*j - 1. Let t(c) = 6*c. Let u(a) = 3*r(a) + 7*t(a). Is 18 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32842711, 32842722, 32842733, 32842744, 32842755, 32842766?\nAnswer: 32842777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d + 94. Let s be g(-32). Let p = s + 299. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147566 is divided by 188?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -240030621 * 0.5\nAnswer: -120015310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104451240 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 190*c**2 + 1993*c + 445383. Give a(-188).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 3. Let w(j) = -3*j + 8. Let q(b) = 8*h(b) - 3*w(b). Let y(m) = 2*m**2 + m**2 - 2*m**2 + 0*m**2. Determine y(q(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.2, 1, 169, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let k(c) = 16*c - 2. Suppose -5*o = 23 - 8, -4*s - o - 23 = 0. Let r(a) = -31*a + 5. Let b(d) = s*k(d) - 2*r(d). Give b(j(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, 7, 4, -1076, 0 in increasing order.\nAnswer: -1076, -2, 0, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1913333.\nAnswer: -2\/1913333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 14 = 34. Suppose -o + 30 = -g. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b0 (base 15) to base 13\nAnswer: c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - 0.6. Let j be 6\/8 - (-1)\/4. Let t = 9\/1729 - -8591\/10374. What is the nearest to 0.1 in m, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11400360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 - 42*j**4 - 14*j**3 + 306*j**2 - 252*j = 0 for j.\nAnswer: -3, 0, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15410816 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 74.0798. Let x = t - -5.1158. Let q = x + -5. Round q to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -316 - -320. Suppose 12 + 49 = u. What is the remainder when u is divided by (-40 + 26)\/(i\/1)*-6?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.49 + -1.61. Let n = i - -0.1. Which is the smallest value? (a) -0.15 (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15445 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:20 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*((-100)\/(-75) - (-700)\/(-345))\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p - 29*p + 476 = 73*p - 96 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 divided by -3442.\nAnswer: -233\/3442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27013 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.5. Let s = -0.34 + u. Let o = 0.36 - s. Sort -0.4, o, 2 in increasing order.\nAnswer: -0.4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2)*4*2\/8. Let y(g) = 4*g - 4*g**2 - 8*g**k + 10*g**2 - g**3. Suppose 31 = -4*n + 19. Determine y(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -22. Let f = -5 + r. Let x be -29 + 31 - 12\/5. Which is the nearest to 0? (a) f (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26535, 53101, 79681, 106281, 132907, 159565, 186261, 213001?\n\"Answer: f**3 + f**2 + 26556*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1504, 5715, 12734, 22561?\nAnswer: 35196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*u - 18, -4*u + 3*u + 6 = 4*l for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40d + d12?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1398078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 191*z + 63 - 28*z.\nAnswer: -219*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*z - 1592 = -30393 for z.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9788018 weeks?\nAnswer: 591979.32864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 1. Suppose 3 = -3*w, 2*r + 1 = 3*w - 0. Let p be n(r). Let j be (-125)\/80*-2 - p. Which is the closest to -2? (a) -1\/3 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -14, 9, -5.\nAnswer: -14, -5, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*n + 3 = 0, -n = -4*h + 10 - 5. Let a = -140 - -141. What is the least common multiple of h and a*(1 + 2 - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = -0. Let s(d) be the first derivative of 2 - 2*d - 2*d**v - 2\/3*d**3. Factor s(a).\nAnswer: -2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133940 * 0.115\nAnswer: 15403.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*n**3 + 426\/7*n**2 + 9450 + 3330*n = 0 for n.\nAnswer: -105, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1200 - 350. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(171)\/sqrt(9) - (-2 + -1*sqrt(19)).\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1)\/((-711)\/1185)*(-3)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 9*t**3 - 3*t**3 + 2*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jma when three letters picked without replacement from zmawwjf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 285 - 75. Suppose -351 = -2*z + 3*i - 108, 0 = 5*i + 5. What is the greatest common factor of z and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11956, 12042, 12136, 12244, 12372, 12526, 12712?\n\"Answer: h**3 - 2*h**2 + 85*h + 11872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 6230*i = 0. Calculate i.\nAnswer: 0, 1246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 25*u**3\/3 - 15*u**2 + 30*u - 1082. Let t(d) = d**2 - 3 - 1 - d + 5. Determine -30*t(c) + v(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 16. Let a be p(-4). Suppose -a*w = -49 - 1335. What are the prime factors of w?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20377655?\nAnswer: 5, 23, 79, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32139281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4338279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 - 5*h + 2. Let o be q(-5). Suppose -y = o*z - 470, z + 4*z - y = 1189. Suppose z = -7*l + 2974. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277803 is divided by 179.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10305501288070 and -8?\nAnswer: 10305501288078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1202043 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/12 - 224\/(-6). Suppose 4*n = v + 58. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 660.612 + 6.788. Let w = l - 667. Which is the second biggest value? (a) -1\/33 (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 + 107*d**2 + 27*d - 12. Give m(27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**2 - 26005*b - 102241 wrt b?\nAnswer: -12*b - 26005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15b0b (base 14) to base 13\nAnswer: -1b942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.623817 to 1 dp.\nAnswer: 236.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 4:01 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*f - 110 = -0*s, 4*s = 4*f + 160. Let n = 77 - s. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let o = 112.5 - 113. Which is the nearest to r? (a) -3 (b) 6\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 70*h**2 + 15*h - 15. What is j(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8603*s - 25532. Give c(-3).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 476985?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.13 + 24.13. Which is the closest to 1\/5? (a) -3 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1758495 (b) -0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 686 or -590?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206099 is divided by 1398.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 4) to base 3.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*a**2 - 75*a**2 - 323*a**2 + 1.\nAnswer: -544*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0255171959 and -3450.\nAnswer: -3450.0255171959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2185831.6 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 106650*(-7)\/(126\/(-48)). Suppose 5*z - r = 14*z. Round z to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173431.2 millilitres in litres?\nAnswer: 173.4312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:28 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35738, 5, -2, 10, -3 in increasing order.\nAnswer: -35738, -3, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 0. Let w(g) = 6*g**2 - g + 3. Let v be w(o). Suppose -v + 25 = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*b**2 - 34*b**2 + 6*b**2 + 20 wrt b?\nAnswer: -28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-16)*g*g)**(-12\/7))**(-23) assuming g is positive.\nAnswer: g**(-552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by 94?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -2 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 32 = -2. Is 10 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260583250919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/111 (b) 4 (c) -16\/55 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Suppose -1 = o - 2*c, -o = -l*c - c + 7. Solve -4*h - 2 = -o*a + 1, 0 = -4*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 0.01 (b) -3\/5 (c) -2\/19 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 27*g**2 - 5. Let w(m) = -2*m**3 - 27*m**2 - 6. Determine 6*f(i) - 5*w(i).\nAnswer: -2*i**3 - 27*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699084.7s to milliseconds.\nAnswer: 699084700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203 or -1733?\nAnswer: -1733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h - 150 = 4*h - 4*d + 4, 0 = -2*h - 5*d + 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 718 - 334. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 13405*l + l**3 + 13405*l - 2. Let j(x) = x**3 + 6*x**2 - 3. Calculate 3*h(d) - 2*j(d).\nAnswer: d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/12 - (-2)\/(-4)) + 23. Calculate the greatest common factor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Let j be (4\/x)\/((-5)\/(-2790)). List the prime factors of 3\/4 - j\/(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -40, -1.9, 0.25, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Let m be i - (8\/(-4) - 0). Let s = -1.3 - -0.3. What is the third smallest value in s, 5\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from ewqwjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 12.146?\nAnswer: -85.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (3 + -12*4). Let a(o) = o**2 - 5*o - 2. Let z be a(-8). Suppose z = 4*j + 3*q, j + j - 3*q - x = 0. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 11) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5932 - 5202. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 7*k**2 - 3*k - 4. Let u(n) = 4*n**3 + n**2 - 1. Let l be u(-1). Let m be x(l). Let i be 6*((-238)\/30 + 8). Put -5, i, m in decreasing order.\nAnswer: i, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -21123031?\nAnswer: 21123102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29\/493 + -4*543\/(-68) and 6272.\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2146894 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1352.\nAnswer: -1\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + o**4 + 0*o**4)*(-2 + 1 + 3) - o**4 + 0*o**2 + 0*o**2 + 187825*o**2 - 23*o**4 - 2*o - 93915*o**2 - 2 - 93913*o**2.\nAnswer: -22*o**4 - 3*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191218 by -213.\nAnswer: -191218\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*l - 206, 19 = 5*l - 6. Calculate the greatest common divisor of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Let r = i - -3. Let t = -45\/11 + 125\/44. Put t, 1\/10, r in descending order.\nAnswer: r, 1\/10, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 1. Let k be p(-1). Let n(f) = f**3 + 4*f**2 - 2*f - 4. Let m be n(k). Suppose m = 4*y - 16. Solve 5*r + 22 + 2 = j, -r + y*j = 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6442 - 12507. Let c = -4265 - f. Round c to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-7))\/((-90)\/(-315)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 divided by -3822?\nAnswer: -101\/1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p - 5952 + 5952.\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -4 (c) -1\/3 (d) 0.961 (e) -1\/10 (f) 0.3 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 868, 2\/21 in descending order.\nAnswer: 868, 7, 2\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 151*w - 10300. Give i(89).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132266 * -0.733.\nAnswer: -96950.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 18. Suppose o = 2*s + s - u, -s + 13 = 2*u. Let t(j) = -4*j**2 + 0*j + 7*j**2 - 9*j. Let z(y) = -2*y**2 + 5*y. Give s*z(m) + 3*t(m).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3529 is divided by 1762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = 5*o + 14*o + 560 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 20, 5, -4 in descending order.\nAnswer: 20, 5, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 827472395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 3*t + t**2 + 3*t - 6. Let j be h(6). Does 5 divide j*(-6)\/(-9) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3025422 and -0.079.\nAnswer: -0.3815422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*o**2 - 5*o**2 - 7*o**2 - 953569*o**3 - 8*o**2 + 1058274*o**3)*(4*o - o - 5*o).\nAnswer: -209410*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 587 - 400. Calculate the remainder when 352 is divided by f.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - 2*d**2 + 2*d + 5. Let s be c(-2). Does 11 divide s\/102 + (143\/6)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1289*z + 54 + 95 = -1291*z, 4*h + 4*z - 172 = 0 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185 (base 9) to base 10.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-18))\/(2\/((-32)\/(-6))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-30)\/9)\/((-1)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**4 + 212*p**3 - 11*p + 13257?\nAnswer: 4*p**3 + 636*p**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, n: 3}. Give prob of sequence nj.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuuc when four letters picked without replacement from {x: 10, u: 3, c: 2, t: 3}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*r = -29, 3*r = 4*t - 102 + 75 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 - k + 2*k**3 + 40*k**2 - 63*k**2 + k.\nAnswer: 2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*1)\/(sqrt(28)\/(sqrt(7)*-2)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -7*z**5\/60 + z**4\/24 + 5*z**2. Find the second derivative of a(b) wrt b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 60 = -h - 447, 0 = 4*s - 3*h + 302. Let p = s - -517. Calculate the highest common factor of p and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16543, -66989, -151339, -269593?\n\"Answer: -16952*y**2 + 410*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 288 + -318. Let o(h) = 7*h**2 + 149*h - 50. Let p be o(r). Round p to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2, -14, -1, 2\/3, 0.08, 0.94?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*2\/(-8))\/((-42)\/28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*a**3 + 379*a**3 + 361*a**3 - 1446*a**3 + 360*a**3.\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2191.1499us?\nAnswer: 0.00000002536053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -648760 or -648768?\nAnswer: -648768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 - 54*l + 740 = 0. What is l?\nAnswer: -37, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-5 - 4) + 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -43385 < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188 - 210. Let n be 16\/((-64)\/(-6)) - t\/(-12). What is the closest to -1 in 0.1, -9, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, v: 2, b: 1, j: 2, d: 2}. Give prob of picking 1 b and 1 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.82 in -7, -3, 0, -5, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/4 - 2*k**3 + 7*k**2\/2 + 14*k + 98. Let f be l(-7). Solve f + 4 = 6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 13. Let i(y) be the third derivative of 0 - 1\/30*y**6 - 17\/96*y**4 + 1\/12*y**3 + 1\/6*y**5 + 0*y + 5*y**n. Determine w, given that i(w) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 1, -11, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2661141?\nAnswer: 3, 7, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*v - 440, v - 47 = w + 41. Suppose 3*k - v = -k. Suppose 3*j + 18 = 3*n, 4*n = -0*n + 3*j + k. Solve 0 = -n*u + 4 - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-555)\/(-370))\/(3 - (-63)\/(-20))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*d + 5*d - 11*d - 252 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42513.2ml in litres?\nAnswer: 42.5132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 6*t + 1. Let c be l(-7). Let y = 28 + c. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109.8 - 17.8. Let a = -90 + h. What is the second biggest value in a, 2\/9, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130863\/11 + 11897. Sort 9\/8, -3\/7, 2, u, -2\/5 in descending order.\nAnswer: 2, 9\/8, u, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30058283 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 443*d**2 + 10186*d - 98. Determine j(-23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17797191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1169 + -1158. Calculate the highest common factor of 946 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1467 by -21336.\nAnswer: -489\/7112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-636)\/8109)\/((-5)\/3*(-12)\/30)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15496870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 - 13*k**2 + 3*k + 28. Let m be i(-4). Solve 7*f + 64 - 92 = m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/12 + -4 + (-14)\/(-3). Solve 0*q = -a - 3*q - 3, -6 = 2*a + p*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + a - 63, 4*z = -z + 5*a + 180. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmd when three letters picked without replacement from ddmdmmm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -11*j**5\/60 - 11*j**3\/6 - 10*j**2. Differentiate z(w) wrt w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -40 (c) 4 (d) -3 (e) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r, -3*q + 4*q = 5*r - 2. Let i(n) = -q*n - n - 5*n + 2 + 6*n. Let j(a) = a. Determine i(j(y)).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -413 - 1?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwteywiitptptppipt. What is prob of sequence tii?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*a + 5*h, -5*h + 12 = -4*a - h. Suppose f + 4 = p, -4*p + 5 = -3*f - 11. Let q = a - f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.77239*-4.\nAnswer: -7.08956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 124 = 2*x, 2*h - 3*x - 74 = -0*x. 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: Simplify ((p**(1\/18)\/p*p)**(19\/6))**(-2\/31) assuming p is positive.\nAnswer: p**(-19\/1674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 8*v**2 - 8*v + 4. Suppose 3*w + j - 34 + 11 = 0, 0 = -2*w - 3*j + 20. Let n be x(w). Is 9 a factor of 30\/(-4)*14\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1969 and 429?\nAnswer: 76791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1341\/160 in -4, 5, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 44 - 91 - 253*b.\nAnswer: -253*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198389423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 12 + t**2 - 2*t**2 - 6 + 21.\nAnswer: -3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + h + 9 = 0, h - 7 = -584*o + 587*o. Sort 8, o, 1, 11 in decreasing order.\nAnswer: 11, 8, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1363 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 13*o + 5*q + 24, o + 12 = -2*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 879, 818, 757?\n\"Answer: -61*t + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30608.\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {l: 6, v: 2, t: 1, s: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 23*r**2 + 46*r. Let h(n) = 5*n**3 + 93*n**2 - 184*n. Let z(x) = -2*h(x) - 9*j(x). What is the second derivative of z(i) wrt i?\nAnswer: -6*i + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-47910)\/(-2079)*(-1455)\/10. Let d = 3353 - w. Is d > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 2*o + 4. Determine d(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 682460, -1\/2, 1, -0.05, -0.3, 1\/3, -5\/3?\nAnswer: 682460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1 - -4 - 3. Let q be (-48)\/(-20)*350\/l. Let d = q - 129. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -36*n**2 - 6*n - 12. Let u be i(-5). Let p = u + 2332. Round p to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 26*s + 9*s + 8*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/(13\/130). What is the smallest value in -2\/3, l, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 3090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 76*h - 90*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.42, -13\/10, -3?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/22 + 2*w**3\/33 + 7. Determine k, given that b(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -8. Let g be (0 - -1)*1 + -1. Which is the third biggest value? (a) i (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119962281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 9 - -5) + 10. Let o(s) be the first derivative of 7\/2*s**2 - 8 + 0*s - 5\/3*s**i. What is the second derivative of o(g) wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 25. Suppose -13*u = -g*u - 216. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b**4 - 11*b**4 + 3*b - 81*b**3 - 2*b**2 + 5 - 132*b**3 - 6 - 4*b to q*b**3 + t*b + a*b**4 + i*b**2 + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 27 - 32092\/1420\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 2, -5, -2 in decreasing order.\nAnswer: 5, 2, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26486540 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 7*p - 2. What is b(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 633*y - 505928. Give z(462).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:07 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 67. Let q = i - 50. Let l be (-20)\/(-3) + 2\/6. Sort 2, q, l.\nAnswer: 2, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from ckkkkkkkkkkkkkkkkkk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255\/(-765) - (((-14)\/21)\/(-2) - 28\/15)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afh when three letters picked without replacement from oppvpvhfovap?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 2*v - 35*v - 9*v + 326, 2*v = w + 33 + 20 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*z = -8*o + 8, 5*z + 2 = o. Let s be (-3)\/((-15)\/o)*1. Let h = 0 - 0.2. Is h < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**6)\/(x\/x**(-2\/3))*x\/x**(2\/5)*x\/(x*(x**1\/x*x)\/x))\/((x\/x**(-5)*x*x**(1\/4))\/(((x**5\/x)\/x)\/((x\/x**(-6))\/x))) assuming x is positive.\nAnswer: x**(-979\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4413939078?\nAnswer: 2, 3, 43, 857, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4\/12 + 5*l**3\/9 - l**2 - 54. Determine q so that i(q) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 46. Let h be (-44)\/7 + (-2)\/(-7). Let g be ((-8)\/h)\/(1\/3). Solve 0 = -m*u - g*f - 3 - 15, -u = f + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/234 + -2*(-4)\/(-52)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2636*y = -2709*y + 2409. Solve -y*h = -6 - 60 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 9. Let y be g(-11). Let c(s) = s**y - 2*s**3 + 0*s**3 + 3*s**3 + 3*s**2 + 5*s + 3. Calculate c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5208*-4.64.\nAnswer: -24165.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4 - 4 = 0. Let s be (-12534)\/(-10) + 4\/(-10). Suppose w - 916 = -3*c - u*w, 5*w + s = 4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 95 - 304 - 2*g**3 + 106 + 3*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w + 10 = 0. Let f(h) = h**3 + 4*h**2 + 4*h + 2. Let q be f(-3). Sort w, q, 4.\nAnswer: w, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*a + 63, -i - 2*a = a - 10. Let d(t) = 5*t - 16. Does 17 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 11, m: 2}. Give prob of picking 2 u and 1 m.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 + -2 - -4)*-1. Put -2, 3, t in descending order.\nAnswer: t, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15604 + 31209 + u - 73*u**4 - 15588 + u**3 wrt u?\nAnswer: -876*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 0, 5*y + a + 0*a = 369. Let o = -31 + y. Let v = -16 + o. Calculate the highest common divisor of v and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3159.61 + -95124.\nAnswer: -98283.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 124 = r, v + 31 = 2*v + 4*r. Let l = -28 + v. Sort -5, -56, 5, l.\nAnswer: -56, -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7557*b - 7556*b + 4 - 9 + 11. Let f(t) = -6*t**2 - t - 1. Let p be f(-1). Determine g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024618 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Find the first derivative of -82*z**3 + 76*z**3 + n - 3 wrt z.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 108*b**4\/7 - 36972*b**3\/7 + 3170343*b**2\/7 - 1053702*b\/7 + 87723\/7 = 0. Calculate b.\nAnswer: 1\/6, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 132 - 71 - 40*f**4 + 126 - 24*f + 26*f + 39*f**4 to the form w*f**3 + c + k*f**4 + s*f**2 + n*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 0.121?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 13*n - 2 = 15*n, -4*n - 4 = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((3*sqrt(42))\/sqrt(6)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 148\/(-28) - (-4)\/14. Let q = 5 + z. What is the units digit of (q\/2 + -25)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43ab - -8621?\nAnswer: c9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2692 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -18, 4, 1, -10, -25 in decreasing order.\nAnswer: 4, 1, -3, -10, -18, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 845.97 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -152*b + 48. Let f(i) = -20*i + 13. Let g(c) = 41*c - 28. Let x(r) = -9*f(r) - 4*g(r). What is 5*d(m) + 48*x(m)?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 14*a - 21. Let i be j(-12). Let f = 17\/36 - -7\/9. What is the nearest to 2 in 6, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 8*j**2 + 7*j - 12. Let a(c) = 3*c + 15. Let x be a(-7). Let s be y(x). Let t = s + -4. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r - 6368 = 299*r - 1820 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 51*w**3 - 213*w**2 + 165*w.\nAnswer: -3*w*(w - 11)*(w - 5)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14961, -29836, -44709, -59580, -74449, -89316?\nAnswer: -104181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/145 and 71\/660.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14\/254860705 + -10328841721453\/261487083330. Let q = b + 1\/2565. Find the common denominator of q and 40\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4955192 - -25.62\nAnswer: 4955217.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -21*r**3 + 13*r**2 + 7*r. Let n(t) = 14*t**3 - 9*t**2 - 5*t. Determine -5*h(d) - 7*n(d).\nAnswer: 7*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**2*z**2 - 28984*l**2 + 8*l*z**2 - 3*l*z + 21*z wrt z.\nAnswer: -6*l**2*z + 16*l*z - 3*l + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*c + 1888 + 89 = -369 - 1686 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**2 - 9*g. Let q(d) = -89*d**2 + 195*d**2 + 14*d - 95*d**2 + 0*d. What is 8*a(r) + 5*q(r)?\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -a00a77?\nAnswer: -a00a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Suppose n + 2 + 0 = r, 2*a + 4*n - 32 = 0. What is the highest common divisor of 8 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 301\/9 or 34?\nAnswer: 301\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108603967 a multiple of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 7*k - 9. Let b(h) = -7*h - 1. Let s be b(-1). Let y be 120\/16*s\/(-9). Let w(r) = 4*r + 2*r + 5 - 2*r - 2*r**2. Determine y*w(p) - 3*x(p).\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10255*k + 10256*k - 104415*k**3 - 10.\nAnswer: -104415*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 16640748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/25 - -21\/100. Suppose -6 = 3*l - 6*l. Let r = 2.83 - -0.17. Sort -4, r, t, l in descending order.\nAnswer: r, l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102.5*1.\nAnswer: 102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*j + 3*n, 0 = 3*j - 10*n + 5*n + 6. Solve 13 = 2*d + 3*q, -q + 2 = -j*d - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 - 120. Let w be (4\/(-3))\/((-1)\/9). What is the greatest common factor of n and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 58*h + 822. Let u be k(-24). Let w(t) = t**2 - t + 1. Let j(y) = 4*y**2 - 9*y + 9. Calculate u*w(o) - j(o).\nAnswer: 2*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.623036t?\nAnswer: 5623036000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/(1590\/954).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1225951 and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 5*s + 105. Let l be c(8). Let z(a) = -a + 3. Let f = 0 + 0. Let b be z(f). Solve -t = 4*h + 3, b*t - 6*t + l = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63681544*x**5 - 263797*x**2 - 54*x + 1 wrt x.\nAnswer: 3820892640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 30. Let x(j) = 99*j - 51*j - 49*j. Determine n(x(l)).\nAnswer: 3*l + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 78 - 212. Let v = 553 - t. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 87, 134, 183, 234, 287?\n\"Answer: t**2 + 42*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*273\/(-52).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3644200 divided by 9590.\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2508 and 7.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -51*c**3 - 2*c**2 - 2*c - 1. Let f be g(-1). Suppose -12*m + 9*m + 15 = 0. Suppose 2*h + 35 = m*t, 3*h = -4*t + f + 1. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-10))\/((-365449)\/2042215)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43254 and -281780.4.\nAnswer: -238526.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 18 = 2*r, -13*v + 9*v + 16 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1835596254 by -6.\nAnswer: -305932709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/18)\/((-776)\/(-291))*126\/140?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19*l - 6. Let d(h) = -286*h - 91. Determine -6*d(u) + 91*z(u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -35, -4, 5, 3, -5, 137.\nAnswer: -35, -5, -4, 3, 5, 14, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.1 + 241.1. Let i = 104 - c. Let k = i + 90.037. What is k rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(-56 + 17 + 18)*(0*f - f + 0*f)*(-2*f + 4*f + 0*f) to the form c*f + w*f**2 + j and give w.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59579257 to the power of 1\/2, to the nearest integer?\nAnswer: 7719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 1664, 4405, 9436, 17519, 29416, 45889?\nAnswer: 67700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.3, 0.5, 69, -1\/7, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2125 + -2125.000004061. What is v rounded to 7 dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(3 - 1) + 33. Suppose g = l + 1. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576576 and 1782.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 6. Suppose -5*p = m - 32, -2*p + 4 + 0 = -4*m. Let a = p - 14. Let j be g(a). What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -25 - (-511 + 537).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**2 + 13*d**2 - 3*d**3 + 2*d**3 + d in the form p*d**3 + q*d**2 + w + m*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24399.8ml?\nAnswer: 24.3998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-27)*3*(12\/90)\/(-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 29*q - 14*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06 minus 8?\nAnswer: -6.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -60, 38, 154, 294, 464?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - (13 - (-425 - -336)\/(1\/1))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - 6) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 3*r - 17*i - 15, -9 = 2*r + 5*i. Suppose -5*p + 0*s + 4088 = -r*s, -3*p - 4*s + 2476 = 0. Suppose -5*b + 45 = -p. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.716565l?\nAnswer: 716.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, e: 1, t: 5}. Give prob of sequence tw.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16753789?\nAnswer: 13, 17, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/15, -77901, 0.05, 3, 1, 0?\nAnswer: -77901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 106\/3, 8 in decreasing order.\nAnswer: 106\/3, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 74176?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-3)\/(-2)*(0 - 1). Suppose -h*n + 14*n - 20 = 0. List the prime factors of ((-262)\/n)\/((-1)\/2).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1463 - -1463.13. Let v = 135 + -134.7. Put v, 1\/6, r, -2 in descending order.\nAnswer: v, 1\/6, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 12. Let l(n) = n**2 - 12*n + 12. Let c be l(12). Let a(g) = -1. Calculate c*a(s) - d(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.1 from -48196737.39.\nAnswer: -48196748.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 1, t: 1, a: 6, x: 1, u: 5, g: 2}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -136d1a (base 14) to base 11\nAnswer: -419a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 373014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - 5.06. Let h = 4.97 + b. Let i = h - 0.03. What is the nearest to 0.1 in -3\/5, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 17*t = 111 + 257 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 9*n + 4*y, 0 = -3*n - 2*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11533.725246 + -92?\nAnswer: 11441.725246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t - 20. Let q(y) = -2*y + 23. Let g be q(t). Let p = g + -23. Calculate the remainder when 95 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 554747075 or -2\/9?\nAnswer: 554747075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1088548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25374 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.8038ml in litres?\nAnswer: 0.4518038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9))**(-22\/7)\/(i**(-7)\/((i\/(i*i\/i**0*i)*i)\/i))*((i\/(i\/i**(-2\/9)))**44)**(-1\/27) assuming i is positive.\nAnswer: i**(7933\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**7*h)\/h)\/h)\/h)**(-23) assuming h is positive.\nAnswer: h**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let l(f) = 19354065*f**2. Calculate j(l(t)).\nAnswer: -38708130*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 55\/66 + (-1)\/(-6). Suppose -v = -27*s + 134. Solve 2*n + 21 = 4*n + s*q, -3*q = 4*n - 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003811 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -445, -768, -1163, -1630, -2169, -2780?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2. Let j(g) be the second derivative of g**3\/3 + 435*g**2 + 8700*g. Give j(m(x)).\nAnswer: 10*x**2 + 870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/45920 and 57\/145960.\nAnswer: 4086880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5953587, 11907172, 17860757, 23814342, 29767927, 35721512?\nAnswer: 41675097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8984, 17171, 25340, 33491, 41624?\n\"Answer: -9*j**2 + 8214*j + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - 10*i**2 - 26*i - 111. What is the tens digit of s(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(288))**2 + 5.\nAnswer: 72*sqrt(2) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7209553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6*-5*57. Suppose 7*t + 25 = a. What is the highest common divisor of t and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -15*u - 18. Let k = 1 + -61. Let g = k - -52. Is n(g) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*c**3\/4 + 242675*c**2\/2 - 7445105*c\/4 + 3682315 = 0. Calculate c.\nAnswer: -32372, 7\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (49\/21)\/(35\/30). Let z(y) = -2*y**3 - 2. Calculate z(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3828, -1, -5, 7, 2 in decreasing order.\nAnswer: 25, 7, 2, -1, -5, -3828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108396421, 108396426, 108396433, 108396442, 108396453, 108396466?\n\"Answer: y**2 + 2*y + 108396418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3754992 and -242895.\nAnswer: 3512097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -70*z + 67*z + w, -20 = 4*w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-924*30\/(-1680))\/(27\/(-4))?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 845172?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 2. Let d be z(0). Suppose -4*y + d*y = -94. Suppose -3*x = 3*k - 66, 3*k - y = -2*x - 0*k. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/18 and 101\/1782.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.035739 millilitres?\nAnswer: 0.005035739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1150 - -1242?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -6, 0.2, -9\/107, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, -9\/107, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11972 + 239331\/20. Let o = -2583\/110 + 139\/5. Find the common denominator of n and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.2 (b) 43 (c) 26 (d) -3\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + 1*sqrt(28) + -1) - (sqrt(56) + sqrt(224)\/(-1*sqrt(4)))\/sqrt(8)*5.\nAnswer: -9*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2313.816 to the nearest 10.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2)))\/(q*q**(-5\/3)))\/(q\/(q**3\/q)*q\/q**5) assuming q is positive.\nAnswer: q**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53.37638 decades?\nAnswer: 5.337638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(171) - sqrt(171)))**2 + 3 + (sqrt(171) + (sqrt(171) + 0)*-1 + -5)**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207953*d**4*n - 2036*d**4 - 34*d**2*n + 5*d**2 + 18053*d + 4 wrt d?\nAnswer: 4990872*d*n - 48864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0167909 rounded to four decimal places?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001610542 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 6*q**2 - 6*q + 8. Let k be y(-7). Let d = k + 0. Let g(j) = -10*j + 1. Let h(o) = -10*o + 1. Let v(u) = 3*g(u) - 2*h(u). What is v(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Let l = -306 - -306. Solve u*o = -8 - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1294, 2645, 3998, 5353, 6710?\nAnswer: 8069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + o - 416 = 6*o, 3*o + 136 = z. Let c = z + -130. Let b(x) = -x**3 + 13*x**2 - 11*x - 1. What is b(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1244*m - 1598 + 725*m**3 - 962 - 1680*m - 760*m**2 + 5*m**5 - 1236*m - 110*m**4.\nAnswer: 5*(m - 8)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 44 - 4, -13*k - 2*d = -10*k - 0*d - 30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 151. Solve -2*a = -5*h - 28, 5*h + 0 = -z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 66*y**3 + y**2 - 1. Let r be z(-1). Let u be r\/(-18) - (-4)\/(-6). Solve -k + 8 = -2*n - n, -4 = 4*k - u*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -580, -579, -578, -577, -576, -575?\n\"Answer: f - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 192, 192, 194, 198, 204?\n\"Answer: a**2 - 3*a + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.1, 2, 0.1, -1\/6, -24?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1681*p + 3. Let s(o) = 1613*o - 2. Let b(n) = 5*g(n) + 6*s(n). Let t(r) = 2*r**2. Determine t(b(y)).\nAnswer: 3241058*y**2 + 15276*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.02, -1\/25, 10\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32564 and 714082.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (sqrt(2448) + 1*sqrt(2448))*4 + 4 + sqrt(2448) + -2)**2.\nAnswer: 648*sqrt(17) + 198297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5115.22 rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.84 - 52.84. Let i = 52.00082 + q. Round i to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (13 + -27)) + (1 - 0) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 11. Suppose 0*p + o + 2399 = 5*p, p - 5*o - 499 = b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -4\/63, 0, 22, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 10533048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 211b340?\nAnswer: 211b345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/7040 and 103\/19360.\nAnswer: 77440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 1 + 2 - 9 - 41*f.\nAnswer: -41*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-35))\/(-4*15\/(-150))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135446015 (base 7) in base 10?\nAnswer: 8902577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b7 - 6?\nAnswer: 8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3130 - 2?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-2)\/(-8)*5\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*b**2 - 1\/3*b**4 + 0*b + 0 + 0*b**3.\nAnswer: -b**2*(b - 2)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36816.\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 3995 = 14*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632585 is divided by 632473.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 70 = -n, -417*n + 421*n - 14*g = 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 154571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1288 * 470587.\nAnswer: 60611.6056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1 + 2*r**2 - 4*r + r + r**3 + 1. Let q be j(-3). Let b be (1\/q)\/(6\/4). What is the closest to b in 0.1, 2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) + (-4)\/(-12). Suppose -3*p = 3 - a. Let z(d) = -d + 3*d**2 - 10*d**2 + d**2 - 4*d**2. Determine z(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 0*f**3 + 0*f**2 + 2*f + 13\/6*f**4 + 0. Let m(i) be the first derivative of i**3\/3 + 17978. What is m(z(d))?\nAnswer: 676*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 - 96. Suppose -2*x + r = -6. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*d. Suppose 0 = 4*k - d*k - 1096. What are the prime factors of k?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -730 divided by 654292?\nAnswer: -365\/327146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7 - -1.7. Let j = 1439 + -1438.9. Which is the closest to j? (a) r (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -10247403?\nAnswer: 10247405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(5*q - 2*q - 2*q) + (1 - 7 + 1)*(7*q + 3*q - 4*q) in the form r*q + m and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 7*d**2 + 2*d + 4. What are the prime factors of o(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 2\/23 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 14\/3*g**3 + 8*g + 3*g**2 - 16. What is the tens digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 56*i. Let c(l) = l**2 + 9*l + 2. Let m be c(-9). Suppose 6*u = 4*u + 22. Let a(f) = m*f - 6 - 5 + u. Give a(k(r)).\nAnswer: 112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -0.3. Let c = -4639 - -4639.6. What is the third biggest value in c, j, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/24 - (-15 - -4 - -6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 0.5 (c) 0.2 (d) -401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, -1, -3, -4\/5, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*l + 30, 2*l - 30 = -5*g - 0*l. Suppose 0*s = 3*s - g. Is 5*(1 + 0) - s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.38809, -17?\nAnswer: -0.38809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 14 = -2*m, -3*m + 8*m - 7 = r. Let c = 0 - -4. Let x(n) = n**2 - 4*n + 5. Let a be x(c). Sort r, -2, a.\nAnswer: r, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150759003 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*i**3 - 363*i**3 + 781*i**3 + 600 - 1700 + 554 + 546.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3425, -3427, -3429, -3431, -3433?\n\"Answer: -2*s - 3423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, r: 4, d: 6}. Give prob of sequence tt.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*s + 12*s - 3*s)*(-1 - 2 + 4)*(3*s**2 + 3*s**2 - 3*s**2).\nAnswer: 42*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y*y**(-20\/7))))\/y**(-11)*(y**(-3\/8)\/y)**(-1\/6) assuming y is positive.\nAnswer: y**(3485\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3 - 70626*m**2 - 18060405*m = 0?\nAnswer: -253, 0, 23795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12419785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l - 2*l**3 + 11*l - 4*l - 22*l**4 as c + k*l**2 + y*l**3 + m*l**4 + z*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 340.8 and 0.1.\nAnswer: 340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - 2*t - 1. Let k be v(-1). Let c = -1 + k. Solve -c*x = -3*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 1, 43, 135, 295, 541?\n\"Answer: 3*a**3 - 2*a**2 - 5*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2789855 and 545.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 20*j. Let k(c) = c**2 + 1. Let b(t) = 2*t**2 + 3. Let s(g) = b(g) - 3*k(g). Give v(s(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39581637 is divided by 280?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21546 or 21547?\nAnswer: 21546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-20)*g**(2\/5)*(g*g**(3\/4))\/g*g*g**10)**(-27) assuming g is positive.\nAnswer: g**(4239\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18301 - 22700. Let j be (g - (1 - -1)) + 3. What is j rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*p + 20 = 0, 4*k - 2*p - 1 = -9. Let m(j) = j**2 + 5*j + 3. Let t be m(k). Let a be t\/(-2)*(8 - 0). Solve a*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(0 + 0)\/((-1000)\/(-250)). Let n(o) = 2*o + 71. What is n(z)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 28*s**2 - 16*s - 4. Let k(j) = 27*j**2 - 17*j - 3. Let p(l) = 3*b(l) - 4*k(l). What is the second derivative of p(r) wrt r?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*r = -8, -5*r + 4*r = -4*m - 2. Let x(l) = -21*l + 7. Let h be x(-4). Let i = h + m. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 117.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, -0.4, 0.2, -0.03, -2893?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(76) + -2*(sqrt(76) + (sqrt(76) - (sqrt(76) + 1))))**2 - 4*(sqrt(76) + -1 + sqrt(76))**2) + 5).\nAnswer: -6810 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924662.6l to millilitres.\nAnswer: 924662600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 62*l**2 - 47*l**2 + l**3 + 32*l - 27*l**2 - 3*l**3 = 0. Calculate l.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1673223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2180819036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, g: 1}. What is prob of picking 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 4936, 1 in descending order.\nAnswer: 4936, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -448281 (base 11) in base 12?\nAnswer: -2a506b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 3*o - 3. Let a = -8 - -1. Let d(p) = -4*p**2 - 7*p + 7. Let s(q) = a*c(q) - 3*d(q). Let v(i) = 2*i - 3*i + 2*i. Give v(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2 + v**3 + 0*v**2 + 29*v**2 + 48*v + 2*v**3 = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 2225 + 655 = 0. Let m = q - -330. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/147*(-3)\/(-10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -36, -13, 26, 87?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14. Let v(y) = 6. Let t(m) = -2*k(m) + 5*v(m). Let b(l) = -l**2 + l - 5. Give 2*b(j) + 5*t(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(7\/5)*l)\/l)\/(l**(-7\/8)*l*l) assuming l is positive.\nAnswer: l**(11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -626 (base 13) to base 6\nAnswer: -4502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 8*j**2 + 2*j - 19. Let u be q(8). Let c be (2\/u + 0)\/(5\/255). Let t = c + 36. Solve v + 1 = t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122874222 a multiple of 2524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-5)*-2*5. Let i be 155\/t + (-1)\/(-4). Suppose 0*c - c + i = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 2*c**2 - 6*c**2 + 0*c**2 + c**2 + c**2 + (-4*c + 1 - 1)*(2*c + 2*c - 2*c) + 2*c**2 - 2*c + 2*c to w + d*c + r*c**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 867674 and 27038.\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((5\/(-1))\/((-6)\/3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -30 (c) 5 (d) -107\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11520 * -0.3\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + 9*g)*(2 + 2 - 7) + (2*g - 6*g + 2*g)*(-1 - 4 + 3).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 157? (a) -2.1 (b) 1 (c) -85 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let c = -1425617 + 1425619. Sort g, c, -5, -3 in increasing order.\nAnswer: -5, -3, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/237)\/(((-6)\/90)\/((-3)\/(30\/(-4))))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let g(r) = -7*r**2 - 2*r + 5. Let c(u) = g(u) + 6*t(u). Let n be ((-6)\/(-5))\/(3\/(-10)). Calculate c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + q = -2*q + 12, 0 = 3*m + 5*q - 20. Is 8 + 12 - (1 - m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 8:54 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(171) - -1*sqrt(171)) - sqrt(171))**2 + -3 + 0 + sqrt(171) + sqrt(171))*6.\nAnswer: 36*sqrt(19) + 83088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i. Let q(x) = -23*x - 10*x - 19*x + 13*x. Give q(o(a)).\nAnswer: -468*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28c5 (base 13) to base 12.\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2786695\/6958 + -8\/3479. Which is smaller: 402 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Let y = 80\/7 + -12. Let z = 0.5 - 0.4. What is the nearest to z in k, -1\/8, y?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 minus 0.0059?\nAnswer: -83.0059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from uhhhuhhuhhh?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1253097 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 152 + -140 + (3 - -4 - 54) + -17?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 890?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmmgxg. What is prob of picking 1 m and 1 g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 390*x**2 + 14*x + 42. Does 27 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = w - 3*w + 6, 5*z = 2*w - 6. Find the third derivative of 3*a**2 - 20*a - 3*a**w + 20*a wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*4*2)\/(sqrt(288)\/sqrt(4)).\nAnswer: 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0*d**3 + 7\/20*d**5 + 0*d**4 + 0 + 10*d + 1\/2*d**2. Differentiate p(q) wrt q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107220 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8480)\/106)\/(-80))\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (159840012\/(-9))\/((-18)\/27). Let o be (12 - 9)*u\/(-6) + 1. What is o rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204592 and 24228?\nAnswer: 1841328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, n: 1, t: 1, f: 1, e: 1}. What is prob of sequence en?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:26 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21928*w - 2*n = 21923*w + 9, 12 = 3*w + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 - 1704018\/(-27) - (312\/54 - 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/105*(-42)\/84. Which is the third smallest value? (a) h (b) 2 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 11*y**2 - y - 16. Let w(q) = q - 1. Let g be w(4). Let r(o) = -o**2 + 2*o - 8. Let i be r(g). Let k be c(i). Sort k, 13, 5.\nAnswer: k, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 - -77. Let r = b + -267. Let d = -0.4 - -0.3. What is the nearest to 2\/13 in 2, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(36\/5)*(b*b**(4\/3))\/b*b)\/(b**(-24\/11))**(5\/2) assuming b is positive.\nAnswer: b**(2473\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4348320?\nAnswer: 2, 3, 5, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 194, 404, 688, 1046?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 14) to base 7.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -39*m**3 - 3434172*m**2 + 14794032*m - 4226880 = 0.\nAnswer: -88060, 4\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1765135372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - g**2 - g**4 + (2 + g - 2)*(-2*g**3 + 0 + 0) + (4*g**2 - 5*g**2 - 9*g**2)*(-3*g**2 - 3*g**2 + 3*g**2).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905449239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-3 + 6) - (2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 5\/2 (c) 0.1 (d) 23595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 132341*c - 132275. Give a(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 6:19 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/3280 and 57\/45100?\nAnswer: 180400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002449631 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -593984, -1187970, -1781956, -2375942, -2969928?\n\"Answer: -593986*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1749436792 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose 4*d = 2*u - 2, 4*d + v*u + 2 - 18 = 0. Let x = 3.52 + -1.52. What is the second smallest value in d, x, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 3) to base 4\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from qlqqqlllllllyqqlllql.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 225, 3\/8, -4\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 8, 0.\nAnswer: -16, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 3*f**2 + 6*f + 2. Let o be s(-4). Let y = 7 - o. What is the remainder when 51 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - c)*(-3*c - c + 10*c) + (2*c - 2 + 2)*(c - 5*c + 2*c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442 is divided by 240?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o - d - 44, -3*d = 2*o + 28. Let q be o\/(-2) + -1 + 34. Let j = q + -4. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11192833 divided by 5.\nAnswer: -11192833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 52*d + 2626. What is the units digit of v(84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 53*t**2 + 33*t + 91. Let w(j) = -26*j**2 - 17*j - 48. Let d(r) = -10*a(r) - 19*w(r). Let s(f) = 18*f**2 + 4*f - 1. Determine -3*d(x) - 5*s(x).\nAnswer: 18*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7860 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 27 = 4*g, 21*z - 124 = 11*z - 2*g for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 38*s - 74630 = -6*t, -4*s = 2*t - 24890. What are the prime factors of t?\nAnswer: 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 25. Let t = x - 5. Suppose 38 - 8 = t*m. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009355722 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5*s = 0, 22*s = 2*l + 23*s - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25122 = 959*v - 16115 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 67979*-5\nAnswer: -339895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 16*f - 24. Let i be n(15). Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2*w**3*x**3 + n**2*w**3 - n**2*x**3 - 3*n*w**2*x - 36*w**3 - 2*x**3 wrt w?\nAnswer: 6*n**2*x**3 + 6*n**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 + 1407*z**2 - 1407*z**2 + 3*z**3 - 4*z**3 - 17*z as s*z**4 + x*z**3 + k*z**2 + i + n*z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 36. Let r(i) = 6*i - 6. Let k(j) = -5*j + 6. Let b(m) = -5*k(m) - 4*r(m). Let o(y) = 6*b(y) + d(y). Let u(l) = -5*l. What is 6*o(q) + 5*u(q)?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47517049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56388.\nAnswer: 2, 3, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78451 - -87736. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -6514 (b) 1 (c) -145\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 35*g - 2304. What is n(48)?\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2\/12*-2). Let l = s + 6. Suppose -42 = -l*u + 3*y, 0 = -4*u + 9*u + y - 76. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 3*d**3 + d**3)*(-d**2 + 2*d**2 - 3*d**2) + d**5 + 2*d**5 + 0*d**5 + (3*d**5 + 2*d**5 - 3*d**5)*(3 + 0 - 4).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -400231 or -400232?\nAnswer: -400232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -212, -349, -472, -581, -676, -757?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + (sqrt(84)*-2)\/sqrt(4) - -5*sqrt(21)*2)\/(4*sqrt(300)*4))**2.\nAnswer: 567\/25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44337a2 - -43?\nAnswer: -443375b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1848, -3663, -5478, -7293, -9108, -10923?\nAnswer: -12738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) -1\/6 (c) 0.4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75720.\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/7 + 40049948*y\/7 - 200499791850338\/7 = 0.\nAnswer: 10012487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90702 + 264053. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**4\/4 + 31*o**3\/6 - 2849*o**2. Suppose s - 6*s = g, g - 7 = 2*s. Let j be q(g). Solve 0 = i - j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 + 4. Sort 3, 0.4, w, 5.\nAnswer: w, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-22))\/(210\/7*(-6)\/(-66)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33365753 is divided by 458.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 164*k**2 - 5*k + 10 - 165*k**2 + 23*k. What are the prime factors of z(8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1097 - -1099. Which is the nearest to 0.3? (a) -2 (b) -8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 <= 102\/5275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9409838km?\nAnswer: 940983800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/(1\/3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 9:06 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + x = 2*b + 10, 3*x = -5*b - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8397\/22 - 385. Find the common denominator of 9\/224 and i.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.81563 rounded to 2 dps?\nAnswer: -448.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 3545240125?\nAnswer: -3545240124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 416.67 and 14.\nAnswer: 430.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (299\/(-65))\/((-8)\/40)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 + -121. Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 34*f**2 - 235*f + 648. Give s(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 79 + 23. Suppose -4*l - h = 230. Let g = l + 88. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - a + 5*a + 13 - 3*a. Determine g(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7443 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pccpcccjcckcpc. Give prob of sequence kj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(1365\/(-40))*6\/8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23589304 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -317000 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*l**3 - 81*l**3 + 3 - 5.\nAnswer: 35*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 383881691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/285*(-11)\/(-22)*6*40\/12.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64.25 - 64.15. Let i = -155\/3 - -1103\/21. Which is the closest to u? (a) i (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4446*t + 4454. Give i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**5\/50 + d**4\/60 - d**3\/15 - d**2\/10 + 7*d + 4. Let b(j) be the first derivative of k(j). Factor b(l).\nAnswer: (l - 1)*(l + 1)*(2*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aaa (base 15) in base 12?\nAnswer: -7307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4233595, 8467209, 12700823, 16934437, 21168051?\n\"Answer: 4233614*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o**2\/5 - 288332*o\/5 + 432516\/5.\nAnswer: -4*(o + 36043)*(2*o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 43 - c**2 - 95 + 52. Let i(a) = 7*a**2 + 2*a. Determine i(l) + 3*r(l).\nAnswer: 4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.094 - -591292741.\nAnswer: 591292741.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 164 (c) -2 (d) 2\/7 (e) 6 (f) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 434722 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c. Let s = 1797 + -1797. Solve -z + c + 2 = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1660654*b**3 - 1809672*b**2 wrt b?\nAnswer: -9963924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*q = -12*q - 61108123 - 1568533. Round q to the nearest one thousand.\nAnswer: -309000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 161*u**2 + 596*u - 3. Determine c(-3).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r - 298. Calculate l(44).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:47 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 5*v - 3. Suppose -3*b - 40 = -7*b. Suppose -s = -k - 4*k + b, -s = -k - 6. What is the remainder when f(s) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-30))\/((-251)\/(-3)). Let l = 3017666151 + -26510197164159\/8785. Let h = l - w. Find the common denominator of 73\/10 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by -5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*sqrt(175) + -2 + sqrt(175) - (sqrt(175) + -4 + sqrt(175))*-4))**2.\nAnswer: -2100*sqrt(7) + 34525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25 = -n - 15, 0 = 2*n. Let c = -6 - k. What is the third derivative of l**c + l**5 - l**2 + l**2 - 4*l**5 wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207267 is divided by 15943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 58542.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12697, 12370, 12039, 11704?\nAnswer: 11365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 20*d**2. Let v(l) = -55287*l. Determine b(v(p)).\nAnswer: 61133047380*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -126, -107, -72, -15, 70, 189, 348?\n\"Answer: k**3 - k**2 + 5*k - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v**2 - 7*v - 7. Let w(t) = -6*t**2 - 5*t - 5. Calculate 5*f(n) - 7*w(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*c + 854*c - 1032 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**8)\/d**(2\/33) assuming d is positive.\nAnswer: d**(295\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:42 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5*a\/(a**(-1\/3)*a))\/(a\/(a**(-2\/3)\/a))**(-33))\/(((a**6\/a)\/(a**(-2)*a))\/(a*(a\/a**(-5))\/a*a**(-2\/13))) assuming a is positive.\nAnswer: a**(3634\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-25) - 13246\/(-10). Suppose -22*a + j = -18*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.23, 4\/3, -2\/3, -8 in descending order.\nAnswer: 4\/3, -0.23, -1\/4, -2\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 16*y + 2. Let k(f) = -3*f**3 - 47*f - 6. What is -4*k(z) - 11*p(z)?\nAnswer: z**3 + 12*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10826)\/(-12) + 3\/(-18). Suppose 3*w - j = w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110083 - -0.5582.\nAnswer: 110083.5582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 2, -8\/5, 2\/9, -6\/7, -0.04?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -762163\/2353322 + 271\/857. Find the common denominator of 49\/16 and k.\nAnswer: 21968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:23 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 - 9*f**2\/2.\nAnswer: -f**2*(f + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 8:37 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:29 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.39 and -0.4.\nAnswer: -13.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 9*n - 3*n + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*c**5 + 25169*c**4*o**3 + 28*c**2*o**2 - 76*c**2*o - 2*c*o**3 - 352*c wrt c?\nAnswer: -6660*c**2 + 604056*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 3 + sqrt(18) + 3 + (sqrt(140)\/(sqrt(20)\/sqrt(2)))\/sqrt(7))**2.\nAnswer: 60*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**2 + 16 + 21*u + 29*u + 267*u**3 - 81*u wrt u?\nAnswer: 1602*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*54\/(-72)*(-28)\/(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (297 + -307 - (-1*16 + 4))*-9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((sqrt(294) - (sqrt(294)*2 - sqrt(294)) - sqrt(294) - sqrt(294)) + sqrt(294)).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a**3 + 2*a**3 + 2*a**3)*(-95199*a + 191603*a - 85594*a).\nAnswer: -10810*a**4 + 10810*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0978 - 1.1718. Let p = 115.026 + -115. Let r = q - p. What is the second biggest value in r, -1, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 120, 460, 1120, 2202, 3808?\n\"Answer: 17*z**3 + 7*z**2 - 18*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/1 - (-2)\/6. Let x(c) = -97*c**2 - c**3 - 3 - 14 - 38*c + 226*c**2 - 113*c**2 + 0*c**3. Let n be x(13). Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:21 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:53 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + k**5 + k**5 + 4*k**5 - 4*k**5 - 22*k**5 + (0*k - k**2 + 0*k)*(2*k**3 + k**3 - 2*k**3) + k - k - 2*k**5.\nAnswer: -24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 201474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5784 - 0.0784. Which is the closest to 1? (a) s (b) 3\/7 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052361\/86 > 47120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 44 = -4*v, -19*l - v = -17*l - 115. Suppose -3*x - 400 = -2*p + x, 395 = 2*p - 5*x. What is the highest common factor of l and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000486 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1215\/4698)\/((-30)\/21*(-588)\/(-672))\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 1\/3*i**4 + 6*i**2 + 0*i + 0*i**3 + 0. Let s(z) = -2222*z + 2*z**2 + 2222*z. Calculate s(p(u)).\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*w - 233*w + 198 = -460*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 + 112*o**3 - 3*o + 3*o.\nAnswer: 99*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 62391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -26416037?\nAnswer: 8\/26416037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 4*k**3 - 2*k**3 + (-51*k + 3*k**2 + 51*k)*(-4 + 4 + 2*k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*r**3 - 6026*a**3*r**2 - 68756*a**2*r - r**3 wrt a.\nAnswer: 24*a*r**3 - 36156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24535000 to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6059, 6142, 6225, 6308, 6391?\nAnswer: 6474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 185, 272, 407, 596, 845, 1160?\n\"Answer: k**3 + 18*k**2 + 26*k + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-1)))**(-12)\/(n\/((n*n*n**(6\/7))\/n)*n*n\/(n**0*n*n)*n))**(-1\/71) assuming n is positive.\nAnswer: n**(85\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.004 + 0.05. Let h = 13.954 + z. Put 3, -0.4, h, 0.4 in decreasing order.\nAnswer: h, 3, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 = -4*k, c - 2*c + 7 = -3*k. Solve 5*m = 4*m - c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21977 is divided by 1831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1067298460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 29\/4 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8902941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/5 + 125572*x**2\/5 + 4518648*x\/5 + 8132400 = 0.\nAnswer: -62750, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 5*x**4\/6 - 22*x**3 + 13*x**2 + 567*x. Factor t(j).\nAnswer: 2*(j - 13)*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*v**4 + 28*v**3 - 4*v**2 - 28*v - 12.\nAnswer: 4*(v - 1)*(v + 1)**2*(4*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*c + 6, 0 = 559*c - 555*c - 3*f + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 4 + -8 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1663 or 206085\/124?\nAnswer: 1663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**5\/20 - b**4\/2 - b**3 - 2*b**2 - 5*b. What is the units digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 = -110*m - 45*m - 6681 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. Suppose 2*b + 8 = -7*k + 3*k, -5*b + 4*k = -36. Let q(p) = b*p + p - x*p + 9*p. Let d(o) = 2*o**2. Determine q(d(h)).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 11 = 5*p, -5*u - 2*p - 29 = -7. Let r be ((-73)\/2)\/(2\/u). Let y = r + -37. What is the highest common divisor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moma when four letters picked without replacement from mmoamotaorgmmaa.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42302367 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13.5275586 - 5\nAnswer: -18.5275586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -429*h**2*x + 2*h*x - 113*h wrt h.\nAnswer: -858*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -260?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*b*d**2 + 2*b*d - 6366084*b + 25467*d**2 - 4*d + 2 wrt d?\nAnswer: -58*b*d + 2*b + 50934*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*n - 31*n**2 - 486*n - 489*n.\nAnswer: -31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000225833 to 6 decimal places.\nAnswer: -0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -491*o**5\/60 - o**4\/24 + 164*o**3 - 2199*o**2. What is the second derivative of d(n) wrt n?\nAnswer: -982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -375*c - 20. Let f be s(13). Let y = f - -8352. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 183*l - 42228 = 0. Calculate l.\nAnswer: -92, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/2 - 396205*a\/2 - 396207 = 0.\nAnswer: -2, 396207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 21 = -11*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -320.0244 + 320. What is i rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 24 - 4. Let z(l) be the third derivative of 0*l**3 + 0 - 1\/12*l**4 - 1\/30*l**o + 0*l + 3*l**2. Let z(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 - 11 = 0. Let r = -44 - -41. Suppose 3 = -6*n + 33. Put -4, n, a, r in descending order.\nAnswer: n, r, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 135*w - 12. Let h(p) = 67*p - 8. Calculate 5*h(v) - 3*j(v).\nAnswer: -70*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12378365 is divided by 1135?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i - 201*i + 114*r + 682 = -107*i, 5*i - 5*r = 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1458 and -62\/2259.\nAnswer: 365958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 202 - 26 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1. Let g(o) = o + 10. Let q(m) = m**2 + 12*m - 70. Let p be q(-16). Calculate p*i(s) + g(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -40.5. Which is the fourth biggest value? (a) -2\/11 (b) 0.2 (c) l (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2*(-48)\/(-6). Suppose -g = -t - t. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 17*c - 1316. Let r = c + 1215. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/15 - 37838*k\/15 + 528556\/5 = 0 for k.\nAnswer: 42, 18877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -2*l**4\/3 - 4*l**3 - 9*l**2 + l. Find q, given that a(q) = 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**6 - 974*m**3 - 1232*m**2.\nAnswer: -120*m**3 - 5844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.407 rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/63720 and -35\/27.\nAnswer: 63720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa26 (base 12) in base 3?\nAnswer: 11010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) + 13\/6. Let r = -114.1 - -118. Let f = -3.4 + r. Which is the nearest to 0.1? (a) f (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z = -142 + 34. Suppose 37*r - z*r - 18292 = 0. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-4*-3) + (sqrt(77) - (sqrt(77) + (sqrt(77) - sqrt(77)*-3*5))))\/((sqrt(56)\/sqrt(2)*6)\/(sqrt(144) + 2*sqrt(144))).\nAnswer: -81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 3119141\nAnswer: -623828.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 5) + -4 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v - 2*v)*(4 + 0 - 5) + (-3 + 6 - 2)*(-3 - v + 3) - v - v + 0*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -63. Let k = -27 - r. Let z = 3 + -1. Solve 2*q + k = -4*d, z*d + 8 = -d + q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 26*j + 191. Give c(-9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 3341451224?\nAnswer: -3341451232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3162 and 256122.\nAnswer: 256122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13254438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/6 - 4*t. Let z(r) be the first derivative of r**3\/3 + 2. Determine z(d(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:45 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 13*n - 119. What is q(0)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + -2 + -5 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -20*a - 106. Let s be o(-16). Let x(g) = -69*g - 74*g - 5 + s*g - 67*g. Give x(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let x(y) = 226*y**2 - 20*y. Let z(a) = 451*a**2 - 35*a. Let o(f) = -7*x(f) + 4*z(f). Determine m(o(p)).\nAnswer: -222*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -13. Let j(a) = -15*a - d*a - a**2 + 17*a + 1. Give j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20938, 20693, 20448?\nAnswer: 20203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-352)\/840. Let w = -16.9 + 16. Let v = 1 + w. Sort -4\/3, v, x in descending order.\nAnswer: v, x, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1999026*j - 165*j**3 - 999504*j - 999522*j.\nAnswer: -165*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 times 417?\nAnswer: 95493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*l + 9*l. Suppose l*d - 7 = -4, d - 21 = 5*g. What is the units digit of (-634)\/(-8) + 1\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4\/3 (c) -181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -f - 0*t + 10, 4*t = 3*f - 22. Put f, -2, 4 in decreasing order.\nAnswer: 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3\/5 + 96*h**2\/5 - 791*h\/5 + 696\/5 = 0.\nAnswer: 1, 8, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -15, -25?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (736*l - 1887*l - 169*l - 2329*l + 84*l)*(2*l + 3 - 3).\nAnswer: -7130*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242712*-0.03.\nAnswer: 7281.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.2 (b) -2 (c) -3 (d) -1 (e) -189919 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 238*p**2 - 3*p - 28. Let t be j(-3). Let i = t - 1439. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/1553 + 91626\/178595. Find the common denominator of -33\/1426 and v.\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17767 - 3883. Does 89 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k - 10*k - 3*k**2 - 2*k to p*k + g + j*k**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*n - 20138 = -3*q - 20155, -q + 31 = -5*n for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 1:18 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -398 - -410. What is the highest common divisor of 192 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2276 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 5, -84, -2\/7, 7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -79666858 less than -79666857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 6. Suppose 0*m = 2*m + x - 16, -2*m = c*x - 14. Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-20))\/(138\/(-48) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 - o**5\/10 + 5*o**4\/24 + 43*o**2. Let t(x) = -x**2 - 9*x + 5. Let n be t(-9). Let u be i(n). Is u >= 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 7915296*x**3 + 5221507032858*x**2 + 678695591190240*x + 22056519898152675.\nAnswer: 3*(x + 65)**2*(x + 1319151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 7*s**2 - 5. Suppose 5 = -2*d + 3*d. Let i be y(d). Round i to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -717*r + 0*r**3 + 4446*r + 2*r**3 - 1692*r to the form l*r + d*r**3 + f + i*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17301 divided by 237\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 - 4. Let t be w(2). Suppose t = 2*d + 3*d - 390. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 8. Calculate x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by 2774.\nAnswer: 113\/2774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031506 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 2*q**2 - 3*q + 2. Let c(z) = 2*z**3 + 2*z**2 + 2*z - 2. Let u be ((-8)\/(-6))\/((-28)\/42). What is u*s(d) - 3*c(d)?\nAnswer: -2*d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39062657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 8, -5 = -f + 4*d + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 51. Let p = 3 + t. Suppose 6*k - p = k. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.4? (a) 26 (b) 0.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = 4*u + 4, 36 = 5*u - 4*q. Suppose 2*a = -2*a - u. Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 35 (c) 666 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 51*c - 1901 = -49*c + 395 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:04 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1282622429 rounded to three decimal places?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**4\/11 + 118*b**3\/11 + 96*b**2 = 0.\nAnswer: -48, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278384 and 57404.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66940, -129418, -191896, -254374, -316852, -379330?\n\"Answer: -62478*z - 4462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.54 bigger than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2257101 divided by -752367.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -562 + 999. List the prime factors of c.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + m + 3. Does 31 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.295 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31994 = -5*y - 71*h + 69*h, 0 = 2*h + 6. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 170, 341, 570, 857, 1202?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 2. Let z(l) = 117*l**2 - 130*l + 390. Let x(o) = -11*o**2 + 12*o - 36. Let p(d) = -65*x(d) - 6*z(d). What is p(s(b))?\nAnswer: 13*b**2 - 52*b + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/3696 and 47\/1430.\nAnswer: 240240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 + 3*c**3 - 15*c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, l: 1, f: 2}. Give prob of sequence flr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -15. Sort 0, x, 5 in decreasing order.\nAnswer: 5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 85. Let i(f) = -8*f + 119. Let a(l) = -5*i(l) + 7*k(l). Let d(o) = -67*o. Determine d(a(y)).\nAnswer: -335*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p**2 - 9*p**2 + 23*p**2 + 16*p in the form o + a*p + s*p**2 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 550022592 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: e9d4a (base 15) to base 13\nAnswer: 1cca32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*(3 + (-29722)\/(-35) + -6).\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**8\/84 + 62*l**7\/105 + l**6 - 38*l**2 - 1. Factor k(j).\nAnswer: 4*j**3*(j + 1)*(j + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-9)*(-19)\/(418\/33). What is the second smallest value in -3, s, -1\/9, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 10. Sort 1\/18, u, -3 in descending order.\nAnswer: 1\/18, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -19*a**3 - 264*a**2 + 26*a - 66. Determine d(-14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, c: 1, j: 2, h: 1}. Give prob of picking 1 j and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 43.47.\nAnswer: -8.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 900, 968, 1036?\n\"Answer: 68*q + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 118131458 to the power of 1\/2, to the nearest integer?\nAnswer: 10869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(156)\/sqrt(300) - -6*(-3*sqrt(13) - sqrt(13)))**2 + (1*(sqrt(1053) + -2 - sqrt(39)\/(sqrt(3) + sqrt(3)*3 - sqrt(3) - sqrt(3))))**2.\nAnswer: -34*sqrt(13) + 755237\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/4275 and 103\/840.\nAnswer: 239400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 11)*(-1)\/6*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/140)\/(27\/180).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = -2*b + 175. What are the prime factors of b?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-2\/49)))\/(b*b**21*b) assuming b is positive.\nAnswer: b**(-1129\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -5 (c) 65182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 58, 191, 450, 877?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121012021020221 - 10?\nAnswer: 121012021020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 4. Let u(v) = -v + 5. Suppose 5*y = 5*f + 45, 3*f + 2*y = -8 + 1. Let q(g) = 5*g**2 - 6*g - 4. Let s be q(2). Calculate f*p(z) + s*u(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-4 + 6 - 1) + 0 + 5 - 1)*(3*a - 4*a + 5*a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 44, -0.14, -4.\nAnswer: -4, -0.5, -0.14, 0.2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 53. Let k be (1581\/136 - 11)\/(2\/x). Which is smaller: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2, 7\/47, -155, 4 in descending order.\nAnswer: 4, 7\/47, -2, -37, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1547202492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n. Let j(b) = 5*b + 7. Let m(q) = 3*q + 4. Let o(r) = 4*j(r) - 7*m(r). Let p(x) = -18*o(x) + 4*w(x). Let l(k) = 11*k. What is l(p(g))?\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1 + sqrt(11))*-1 + sqrt(55)\/(sqrt(10)\/sqrt(2)))**2 + (-1 + 4 + (sqrt(11) - -2*sqrt(11)) + sqrt(11))**2.\nAnswer: 26*sqrt(11) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -6 + 26. Let z be (-9)\/(-18) - l\/(-2). Suppose z*y - 6*y = -j - 179, 3*j = -6. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*-1)\/sqrt(2) - (sqrt(121) - (2*(sqrt(121)*-1 + sqrt(121)) - sqrt(121) - sqrt(121)))\/sqrt(11).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/96)\/(((-3)\/1692)\/((-21)\/42))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 600 = -6*k. Calculate the common denominator of -31\/2 and 351\/k*(-4 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-1 - 2))*1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 20.599?\nAnswer: -20.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i + 109*i + 1341 = 41*i. Put i, -1\/4, 7\/2 in decreasing order.\nAnswer: 7\/2, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108599 >= 108598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44057336 a multiple of 1382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.45 to 0 decimal places.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1600c6ab + 2?\nAnswer: -1600c6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:12 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -1834212, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 48.917. What is b rounded to 1 decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2090053733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3 - 12*n**2 + 10*n = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1*v*(v*v**(-7))\/v*v**2\/(v*v**(-7)*v*v) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22085 = -124*i - 19605 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - r**2 - r + 1. Let a be z(1). Let w(d) = 13*d**3 - d**2 - d + 1. Let g be w(a). Calculate the greatest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.3 and 9357.\nAnswer: 9372.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 266?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 9) to base 2\nAnswer: -1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 23*q**4\/6 - 3*q. Let a be r(-2). Calculate the greatest common factor of 23 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2264 + 2289. What is the greatest common factor of 8825 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1159 divided by 9602.\nAnswer: -1159\/9602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 145, -683, -2125, -4229, -7043?\n\"Answer: -8*b**3 - 259*b**2 + 5*b + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2) + 10 + 0. Let u be 15\/m*(-16)\/(-6). Solve -2*d = -d + u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 898 + -6231\/7. Let b = 5\/19 + -53\/57. Find the common denominator of b and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + n + 59. Let j be x(18). Let f = 14305\/16 + j. Calculate the common denominator of f and 47\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o + 8 = 0. Let c be o\/20 + 21\/5. Solve -w = c*f - 2*w + 2, 3*w - 6 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 69 = -37*m + 27 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112122 - -20?\nAnswer: 11112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10515, 12283, 15229, 19353?\nAnswer: 24655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 527 + -523. Sort -0.7, -3\/22, n, -1 in decreasing order.\nAnswer: n, -3\/22, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270 (base 10) to base 7\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20*-0.06694\nAnswer: -1.3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 874, 1748, 2622, 3496?\nAnswer: 4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 10. Suppose 32 = 3*k + 2*s, -12*k + s + 50 = -8*k. Calculate r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53\/3630 + 81313\/2254230. Calculate the common denominator of 85\/54 and i.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -13*n**3\/3 - 3*n**2\/2 - n. List the prime factors of z(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -22. Let u be (p\/50)\/(3\/8). Sort 4\/3, u, 1\/7 in increasing order.\nAnswer: 1\/7, u, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132)\/(-165) + (0 - (-36)\/(-70)). What is the nearest to -3\/2 in 1\/2, 3, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78432389 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*m - 6*m. Suppose 3 = -2*v - m*b + 4, 0 = -5*v + 2*b + 17. Suppose a - 11 - 4 = 0. Solve -v*i + a = h - 2*h, -4*i + 20 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 2 + 2 + 4. Let f(l) = 9*l**2 - 5*l - 6. Let v(x) = -26*x**2 + 14*x + 17. Let s(b) = g*v(b) + 17*f(b). Factor s(p).\nAnswer: -p*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {p: 1, e: 5, d: 1, c: 3, n: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1\/2*j**2 + 2*j + 1\/180*j**6 - 1\/36*j**4 + 0 - 1\/90*j**5 + 1\/9*j**3. Let q(o) be the first derivative of d(o). Factor q(g).\nAnswer: 2*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5457\/5 - -20278217\/18580. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63614 + 63602 + 557*n + 156*n.\nAnswer: 713*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2bb?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/215 in -412, 2\/13, -1\/233?\nAnswer: -1\/233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjfffnyyrjffjryfn. What is prob of sequence yyjf?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49309*w - 896 = -49281*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqqr when four letters picked without replacement from {q: 5, m: 4, r: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -402.27 - -404. Let t = -1.73 + j. Let g = 22\/27 + -736\/837. Is g greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741100 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**4 + 4*p**4 - p**4 + (4 + 2*p - 4)*(-p**3 - p**3 + p**3) + 0*p + 0*p - 3*p**4 + (-2*p - 2*p**3 + 2*p)*(-2*p - 5*p - 6*p) + p - p - p**4.\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -267, -208, -125, -18, 113, 268?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16*o + 79. Let k(j) = -3*j**2 - 34. Determine y(k(t)).\nAnswer: -48*t**2 - 465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 + 0.11. Let b = -11 + 7. Sort -0.05, u, b.\nAnswer: b, u, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11+26380\nAnswer: 26369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/7 + 96*t**2\/7 + 12*t - 184\/7.\nAnswer: 4*(t - 1)*(t + 2)*(t + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 439089 and 46350?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 4 + 4)*(-23*m - 13 + 9 + 4).\nAnswer: 92*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x - 77. Let d be y(14). Let h = 175 + d. Which is smaller: h or -1\/80?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -424 + 2539\/6. Let o = -0.1 + 1.1. What is the biggest value in o, -0.3, -4, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46\/5 of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -135*l + 1263. Let y be o(9). Solve -29*u - y = 19*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r + 5*r)*(4*r - 5*r + 0*r) + (-2*r**2 + 4*r**2 + 0*r**2)*(2 + 1 - 1).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 248319.4m in kilometers?\nAnswer: 248.3194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 465 = -3*j, 5*u = 4*u. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37752, 151057, 339900, 604281, 944200?\nAnswer: 1359657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/16))**(29\/2)\/((v**6*v)\/(v*(v\/(v**(-3\/2)\/v)*v)\/v)) assuming v is positive.\nAnswer: v**(-109\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -100, -149, -198, -247?\n\"Answer: -49*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2509 or 2510?\nAnswer: 2509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1606 - 500 = 13*s. Is -162 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 79.9999919. What is v rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*h = 1756 + 5810 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 288789502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:10 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 42 = -4*i, 3*i - 35*x = -31*x + 38. Solve -i*t = -7*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 5271 = -5231 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60.38 + 10.92. Let d = h + -71. What is the third smallest value in -0.5, 0.4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 7 - 3 - 3 + 2 - 3*h as m*h + w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 14. Let z = 281 - 277. Suppose -7*b + z*b = -c - 30, -2*b - c + 25 = 0. Solve -b = 4*j + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 25 = 0, 4*z - 2*v - 14 = 16. Suppose 7 = 3*a - 5*d, -16 = -3*a + d - z. Suppose -a*n - 4 = 0, -2244 = -5*b - n - 0*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 39843 in decreasing order.\nAnswer: 39843, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 1258*j + 344011. What is u(231)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -512972.\nAnswer: -205188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165\/694 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.5 - 39. Let v = 383\/258 - -2\/129. Which is the smallest value? (a) v (b) u (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110000010001 (base 2) to base 10\nAnswer: -3089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) + (sqrt(68) - (sqrt(68) + 1*sqrt(68)*4 + sqrt(68))) - sqrt(68)*-2*6))\/((sqrt(160)\/(sqrt(15)\/sqrt(3)))\/((sqrt(8)*2 - sqrt(8))*-6)).\nAnswer: -192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -971, 16\/5.\nAnswer: -971, -1, 16\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.883509 to 3 dps.\nAnswer: -0.884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/2 + 135*w**3\/2 + 133*w**2\/2 - 135*w\/2 - 67 = 0.\nAnswer: -134, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0)**44*o\/(o\/(o*o**(5\/6)\/o))*(o\/o**(-7)*o)\/o*o*((o**(-2)*o)**(-14))**(1\/9) assuming o is positive.\nAnswer: o**(997\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 20. Let b(n) = 2*n**2. Calculate b(g(k)).\nAnswer: 8*k**2 - 160*k + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-6 - -6))*-4. Let u(i) = i**2 + i - 2. Let h be u(-3). Solve h*y - 8 - l = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = -3*g + 4*g, -3*c = 3*g - 27. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45118 and 147.\nAnswer: -6632346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126 + -553?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224242111 + 0?\nAnswer: 224242111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqs when four letters picked without replacement from {c: 2, p: 1, q: 2, f: 2, s: 2, a: 3}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = 7. Let p(d) be the second derivative of -1\/6*d**4 + 0*d**s + 0 + 0*d**3 + 2*d. Let i(j) = j**2. Calculate i(p(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*z**(-14\/3)\/z*z*z)*z)\/z)\/(z*z**(-3\/16)*z*z))**36 assuming z is positive.\nAnswer: z**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 + 155. Let p(t) = -t**2 - t + 1. Let q(k) = -1 - 6 - 6 + 15. What is i*q(r) - 2*p(r)?\nAnswer: 2*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x + 18. Let o = 69 + x. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777 = -18*q - 489 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 9:51 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s - 15. Let p = -2 + s. Let h be ((-2)\/p)\/((-15)\/(-7)). What is the biggest value in 4, h, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24558 rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) -131.8 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3 + 5113780*f**2 - 25568850*f = 0.\nAnswer: 0, 5, 2556885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + 4*p**2 - 5*p**2 + (-3*p + 4*p - 2*p)*(-5*p + p + 2*p) + 4*p**2 - 4*p + 4*p in the form j*p**2 + u*p + m and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2468\/(-6))\/(30\/(-18)*(-1)\/(-5)). Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y - 6. Let c be 2 + y + 2 + -11. Let w be c\/(-2) - (-2)\/4. Let o(n) = -22*n - 12. Let r(m) = -9*m - 5. Calculate w*o(i) - 12*r(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*l - 0 - 9, 0 = -3*z - 5*l - 15. Let r = 4.2 + -5.2. Let x = -8 + 7.7. Which is the closest to 1? (a) z (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/(-9) - 3)\/(22\/1246938) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92596\/4 - (-49 + 55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -134413765, -134413762, -134413759?\n\"Answer: 3*a - 134413768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170\/(-51)*12\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/10 (b) -10 (c) -1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137 or 17812\/129?\nAnswer: 17812\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 t when three letters picked without replacement from {w: 1, l: 2, j: 1, h: 3, t: 3, e: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.336163ml?\nAnswer: 0.001336163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 18*b**2 + 15*b**2 - 1 + 38*b**2 - 2*b. What are the prime factors of i(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -0.1, -2\/15, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153309?\nAnswer: 1153309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(5) - sqrt(1125)) + -2)*-4.\nAnswer: 24 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104136 by 12.\nAnswer: -8678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 32\/5 of a second?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218 + -4309 + -1 + (-21 - -3)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5 + 39*f**4 + 141*f**3 + 177*f**2 + 72*f = 0.\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:26 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 34 = 98 + 449 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/4410855 and -35\/99.\nAnswer: 48519405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 + 459. Let n(a) = u*a**2 + 187*a**2 - 374*a**2. Let q(i) = 11*i. Give n(q(b)).\nAnswer: 121*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103899 is divided by 34631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d**2 - 8*d - 5. Calculate the smallest common multiple of k(-5) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 245\/(-70)*(-10)\/(-14).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216 - -396. Suppose 0*t = -t + a. Let w be 68\/t - 3\/5. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801099 less than or equal to 4801102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83089 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 9. Let u(f) = -n*f + 8 + 4*f - 3*f. Let x = -1108 - -1102. Let z(t) = 14*t - 23. What is x*z(k) - 17*u(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5\/(f*f\/(f\/(f*f\/((f*f**(-24)*f)\/f)*f))))\/(f**(-16))**(-13\/5))**30 assuming f is positive.\nAnswer: f**(-1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -19. What is the second biggest value in 2, y, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644345?\nAnswer: 5, 728869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -0.74044?\nAnswer: -0.74044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 398\/10 - (-1)\/5. Suppose -s = -4*d + 88. What is the lowest common multiple of d and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 3712431\nAnswer: 18562155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.43 - 0.411. Round y to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16696, 17365, 18038, 18715, 19396, 20081?\nAnswer: 20770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24879 by -71.\nAnswer: -24879\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4 + 37*c - 31*c + 2. Let y be r(4). Does 27 divide ((-34)\/3)\/((4\/y)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*o + 36, o + 2*l + 4 = 7. Let m be -1 + (-111)\/(o + 2). Suppose 0*b - 3*b = -m. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 1. Let g be m(-1). Let w = -10 + 7. What is the nearest to 1 in w, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-380*c + 225*c - 433*c - 83*c)*(-c + c - 2*c).\nAnswer: 1342*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-21))**(6\/7)\/(((n**17\/n)\/n*n)\/n**(-16)) assuming n is positive.\nAnswer: n**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqlx when four letters picked without replacement from xlqqxqxxqxqlxqqxxqx.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7. Let m be x + (-2 + 2 - -3). Solve -g - 4*a = 2*g + 4, -5*g = 4*a - m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/(-80) - 4\/(-10) - (-20 - 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187796 is divided by 26809.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*i + 154*i + 158*i + 55*i - 11826 = 0 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 5, 1 in descending order.\nAnswer: 10, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2)*(-4303*n + 13*n**2 + 4303*n).\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 = 888. Let x = u + -1036. What is x rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = -5*z - 0. Let i = z - -98. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 7, 59, -4, 2 in descending order.\nAnswer: 59, 7, 2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 118*x - 1. Let i be c(-2). Let s be 8\/(-20) - i\/5. Let j = s - 24. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/10 and 7\/11455.\nAnswer: 22910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2408*o**3 - 4797*o**3 + 0*o**2 + 2409*o**3 + 0*o**2.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -89, -203, -363?\n\"Answer: -23*c**2 + c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 30*s**3 + 42*s**2 - 1166*s - 2904.\nAnswer: -2*(s - 11)**2*(s + 3)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883486996.\nAnswer: 2, 61, 7719209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/3))**(-2\/19)\/((s\/(s**0*s))\/(s\/s**7*s))*s\/(s*s**(-3\/2))*s\/(s\/(s\/(s*s**5)))*(s\/s**(-7))\/(s\/(s*s\/((s**2\/s)\/s))) assuming s is positive.\nAnswer: s**(41\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2, 0*m + 4*v = m - 7202. What is m rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**3*r + 1147219*q**3 - 2*q**2*r - q**2 - 753*q*r - 4*q - 17*r wrt q.\nAnswer: -24*r + 6883314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10828678 is divided by 91.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 226*p**2 + 17154*p + 1741. Calculate i(286).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) 45.7 (d) -1\/27 (e) -4 (f) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -27, -56, -119, -228, -395, -632?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-6))\/(-12))\/((-4)\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -478.364556 from -5.\nAnswer: 473.364556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f*f**(-14))\/(f**(1\/2)\/(f\/(f\/(f*f\/(f\/(f*f*f**(-3\/5))))*f)*f)) assuming f is positive.\nAnswer: f**(-757\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**6\/200 - 3*u**5\/100 + 9*u**4\/40 + 27*u**3\/10 - 103*u**2. Find k such that s(k) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 378*c**2 + 7 + 304*c**2 - 3 to the form n + p*c + z*c**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99952380085.62 - -0.04.\nAnswer: -99952380085.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3)\/(-15) - (3116\/(-95) + -5)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1522415 (base 6) to base 12.\nAnswer: -4340b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98130*v**2*w**4 + 24093*v**2*w + v*w**2 + 2*v + 2*w**2 wrt w?\nAnswer: 2355120*v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - j + 3 + (2*j + 2*j - 3*j)*(-2 + 2 - 2))*(-1937 + 291 + 422 - 1928) as b + t*j and give t.\nAnswer: 9456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u + 77 - 6*u + 72 - 140 in the form p + r*u and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -21. Solve 3 = -0*g + d*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apyqcylp. Give prob of sequence pq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/8 and 151\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55\/71850916 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77\/24 - -215\/72. Which is the fourth smallest value? (a) -1 (b) r (c) -0.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2448)*1 - sqrt(2448)) + -4 - sqrt(2448)) + 2 + sqrt(2448) + (sqrt(2448)*2)**2 + 0.\nAnswer: 9794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2273540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 3, b: 1, s: 6, y: 1, u: 3}. Give prob of picking 2 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 23*j**2 - 22*j + 2. Let c be t(22). Let d(w) = w**2 + 63750*w**3 - 2*w + 0*w**2 + 0*w. Let y be d(c). Round y to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 109. Let u = f + -14. Is u > -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 84. Let w be x(-19). Solve -36 = 5*b - w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*q**3*y**2 - 7199*b*q**3*y + 10*q**3*y - 2*q**3 + 46*q**2*y**2 - 3*q*y**2 wrt b?\nAnswer: 2*q**3*y**2 - 7199*q**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -w - 1, 2*z - 3 = w + 2*w. Let d(g) = -g**3 - 3*g**2 - 1. Calculate the remainder when d(-5) is divided by (w\/(-3))\/(1 - 76\/78).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 407 + -404. Which is the nearest to f? (a) -4 (b) 2\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433500.8 + 4801.\nAnswer: -428699.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3383 - 8003 = -21*w. Let k = w + -215. Calculate the remainder when 18 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 489*n**2 + 268. Let h(a) = -122*a**2 - 67. Let i(y) = 18*h(y) + 4*r(y). Differentiate i(s) wrt s.\nAnswer: -480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 589692.3l?\nAnswer: 589692300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1720 by -344.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 16, 22, 12, -20, -80, -174?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 6*d + 6. Let w be l(5). Let i be (3 + 14\/(-4))*27. Let n = i + 13. Which is the third biggest value? (a) 0.5 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**18\/((r**(-2\/9)*r)\/r)*(r*r\/(r\/r**(-9))*r)**(-3\/29) assuming r is positive.\nAnswer: r**(4945\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 77031865 * 0.4\nAnswer: 30812746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 10*w**2 + 28*w + 8. Let o be b(-8). Find the common denominator of (o\/(-70))\/((-72)\/(-180)) and -53\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 33 = 7. What is the lowest common multiple of i and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -0.3 (c) -1.58 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88854.\nAnswer: 2, 3, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 421*s**2 + 20*s - 5. What is the hundreds digit of a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/29 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i + 24. Solve 6*d = 2*d + i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000733283 rounded to seven decimal places?\nAnswer: 0.0000733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 35. Let h be w(-7). Let g(b) = b**3 + 15*b**2 + 14*b. Let j be g(h). Is j + 15\/5*56 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 5, -35, -4 in decreasing order.\nAnswer: 5, -4, -24, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.45568 minutes to hours.\nAnswer: 4.390928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k**5 - 1180*k**4 + 5140*k**3 + 1200*k**2 = 0.\nAnswer: -30, -2\/9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-g - 2 + g - g)*(-6 + 4 + 4).\nAnswer: 4*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33.5? (a) 4 (b) -8.2779 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 31 = 49. Suppose 189943 = -a*n + 18*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 4 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 11420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 115?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.242 - -0.258. Round o to one decimal place.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06223917 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750809890?\nAnswer: 2, 5, 19, 139, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 12. Let f(m) = m + 1. What is -2*c(k) - 22*f(k)?\nAnswer: -32*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32408 and 8.\nAnswer: 32408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(3\/14)*(w**1*w)**9*(((w*w**(-6)\/w)\/w*w)\/w*w)\/w**3*w\/w**(-1\/3)*w*w**0 assuming w is positive.\nAnswer: w**(467\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a + 54. What is the lowest common multiple of (-27)\/(-1) - (46 - (43 + 0)) and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 + -3 + -17 + 6) - 18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -34*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/13*5\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**3*f)\/f*f*(f\/f**(1\/3))\/f*f*f**(-1\/5)\/f*f*f**(2\/7)\/f)\/((f**(-1))**(-1\/25)*(f\/f**0)**(-32)) assuming f is positive.\nAnswer: f**(16649\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/120*j**6 - 1\/42*j**7 - 2\/3*j**3 + 37*j**2 - 1\/12*j**4 + 0*j + 0*j**5 + 0. Find the second derivative of q(v) wrt v.\nAnswer: -60*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648657858?\nAnswer: 2, 3, 8803, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:06 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 - 122. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2 + 6534*m + 3557763 = 0.\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*j + 1530 - 1522, 4*j - 4*m = -48. Let c(y) = -3*y**3 + 20*y**2 - 4*y - 4. Let a(r) = 4*r**3 - 20*r**2 + 5*r + 5. What is j*c(h) - 4*a(h)?\nAnswer: -h**3 - 20*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 2 = 6*b. Find the third derivative of 5*d**6 + 2*d**6 + b*d**2 + d**2 + 0*d**2 wrt d.\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, m: 4, u: 3, j: 3, c: 1, f: 2}. Give prob of picking 1 k, 2 m, and 1 j.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millennium in centuries?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c**3 + 0*c)*(3*c + 2*c - 4*c) + (0 + 0 + c**2)*(c**2 - 3*c**2 + 0*c**2) + 0*c**3 + 0*c**3 - 3*c**4.\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 22*m + 1350. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -34*f - 16*f - 0*f. Let z be (1*2\/(-10))\/(-1). What is the nearest to f in z, 3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 42, -30, 0 in descending order.\nAnswer: 42, 3, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*g**2\/11 - 232*g\/11 - 46\/11 = 0. What is g?\nAnswer: -23, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005354642 rounded to five decimal places?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 454885 less than 454876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6 + 0 + 8*y - 2*y**2 + 6*y**2. Let d be b(-5). What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 13, d: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + 12. Suppose -3*s - 95 = -2. Let u = a + s. Solve 2*p - 5*h = -p - 19, -u = -5*p - 2*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - n = 3, -n = -4*z - 1597 + 1584 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(4\/11)*h**3)**(-29)*(h**(2\/13)*h**2)\/((h**(-2\/19)*h)\/(h**1\/h*h)) assuming h is positive.\nAnswer: h**(-337686\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18658 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 11*f + 12*f + 15*f)*(-26 + 13 + 7).\nAnswer: -186*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {n: 2, v: 3, z: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 210?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/26069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 - -296. Let g(v) = -3*v + 1. What is g(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11 or -2\/95?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**3 + 6*a**2 - 6*a + 13. Let k = 75 - 68. Is h(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66 + 0.6. Let p = 5.06 + l. What is the nearest to 1\/3 in p, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 716\/83?\nAnswer: 716\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = 2*a, -5*z = -4*a + 2*a + 1. Let c(l) = -23*l + 3*l + z - 1. Let s(p) = -2*p**2. Calculate c(s(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 19*m**3 + 7380*m - 7383*m - 7*m**3 + 2*m**2 + 9 in the form w*m + q*m**3 + z*m**2 + c and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26941 or 27555?\nAnswer: 27555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 at most -0.1461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/24 - 5*n**3\/2 + 12*n**2. Give d(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 245 = -2*t. Let i = -27 - t. What is the lowest common multiple of i and (-4)\/(-3)*3*4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 40, 41, 40?\n\"Answer: -i**2 + 6*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 take away -115.69?\nAnswer: -100.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*o + 17. Suppose 5*a + 15 = -0*a, 2*a = -5*u + 4. Calculate the remainder when u is divided by (-15)\/(-25) - 2\/o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8741\/84 - -792\/7. Let x = n + -2\/3. Calculate the common denominator of x and 77\/26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/28 and -115\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 26*r**4 - 3*r + 33*r**4 - 37 - r**4 + r + 2*r**3 in the form c*r**3 + s*r + a*r**2 + f + b*r**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 2*d**2 + d + 0*d + (5*d + 6*d - 4*d)*(-d - 9*d + 2*d) to the form l + q*d + f*d**2 and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 515569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 - 4*r**2\/3 + 19*r\/6 - 5\/3.\nAnswer: -(r - 1)**2*(r + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, j: 5}. What is prob of picking 1 j and 1 z?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1184 and -91\/10.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -2*v**9\/3 - 7*v**5\/60 + 9*v**4\/8 - 3*v**2 + 1. Find the third derivative of u(z) wrt z.\nAnswer: -40320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + 16 - (271 + -192).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1 - q + 33 + 11 + 7*q + 0 - 43. Let u = 8 + -11. Let i = u - -2. Let s(f) = f. Calculate i*k(x) + 5*s(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a + 1. Suppose -64*m + 69*m - 20 = 0. Let o(s) = -6*s**2 + 3*s - 5. What is m*v(y) + o(y)?\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o - 20 + 18 + 183*o.\nAnswer: 165*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 4. Let o(m) = -6*m + 3. Let t(w) = 5*o(w) - 4*z(w). Suppose -34*r - 56 = 80. List the prime factors of t(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1016*r - 60*r + 1862 - 3721 + 114*r + 1859.\nAnswer: -962*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 7*w - 13. Let p be b(9). Let y be 0\/(3*(-2)\/(-3)). Let v(u) = -5*u + y*u - 7*u**2 + 4 - 1. Let s(t) = 4*t**2 + 3*t - 2. Give p*s(k) + 3*v(k).\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*f + 3*f. Calculate the remainder when 29 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.1, 92, -7, 3, 1\/9 in decreasing order.\nAnswer: 92, 3, 1\/9, -1.1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -1\/3 (c) -2\/5 (d) 43 (e) -1 (f) -0.0705\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2707100 = -205*p - 9*p. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012.819 milligrams in tonnes?\nAnswer: 0.000001012819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/3 + 128*f**2 + 1882*f\/3 + 748 = 0. Calculate f.\nAnswer: -187, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3*x + 21, -3*x + 11 = -2*r + 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f**2 + 915*f**2 + 301*f**2 + 576*f**2 + 1233*f**2.\nAnswer: 3080*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v + 4. Let f(h) = 8567611*h. What is x(f(y))?\nAnswer: 51405666*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*6 + 1\/(-1). Let u = 46 - y. Calculate the highest common divisor of u and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + ((-2)\/12)\/((-2)\/426) and 69\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*2*3*(0 + sqrt(833))*-6)**2.\nAnswer: -10080*sqrt(17) + 26989216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 11*u = 15. Sort -3, 2, u.\nAnswer: -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30d4 (base 15) in base 7?\nAnswer: 42046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3102301 + 2211?\nAnswer: -3100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (315\/20)\/(1822\/(-7288)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1873200 to the nearest ten thousand.\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t = 51*t - 30. Suppose 4*j = 3*i + 6, j - 5*i = -3*j + t. What is the nearest to j in 2, -6, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 3. Let r = 29 - 20. Suppose -5*n + m = -54, 2*n - r = 2*m + 11. Solve w*a - n = 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/120 - d**4\/4 - 2*d**3\/3 - 2*d**2. Let y(a) be the first derivative of w(a). Determine y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -9. Is 316*(-3 + (-26)\/w) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82203769?\nAnswer: 82203769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781280180?\nAnswer: 2, 5, 7, 673, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5149*h + 988616. What is r(192)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4 and 53\/664?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 100 = 3 - 43 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btb when three letters picked without replacement from {m: 4, b: 4, z: 1, e: 10, t: 1}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5086*h - 5082*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 + 193. Let d(l) = 499*l**3 - 501*l**3 - 3*l - 5 + l - c*l**2. Let h(o) = -o**3 - o**2 - o - 3. What is 3*d(a) - 5*h(a)?\nAnswer: -a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(30)\/(5*sqrt(6)*2) + -4 + -1*(2 + 1*(2*sqrt(605))**2).\nAnswer: -2426 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 505154 - 1011533 + 505536.\nAnswer: -d - 843","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77\/4, 5, 9, 1\/2, -2\/11 in descending order.\nAnswer: 77\/4, 9, 5, 1\/2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194687 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 20. Let o be ((-7)\/(-9) + (-4)\/(-18))*-5. Let g be j(o). Let u = g + -11. Solve -u = -x - 0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/(-24)*(-32)\/18*6*(-3)\/(-168).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -670370*s**6 - 1706333*s**2 wrt s.\nAnswer: -80444400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2211)\/(-165) + 6\/(-15))*(-6)\/(-21)*1.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**2*s**2 + 20*k**2*s - 210*k*s**2*y - 4*k*s*y + 2*k*s + 4*s**2*y + 13*s*y wrt s.\nAnswer: 10*k**2 - 420*k*y + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 936801 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -49. Which is the nearest to -0.2? (a) -0.1 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 - 1780*q**4 - 158405*q**3 + 5330*q**2 + 471700*q - 316840 = 0. What is q?\nAnswer: -178, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 106825928?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 900 + 160. Suppose -5*s = -85 - p. What is the common denominator of 1\/3 and s\/(-36)*(-118)\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*m**4*u + m**3*u - 2*m**2*u - 2*m*u wrt m.\nAnswer: -240*m*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-344))\/((-9)\/(-252))*(-117)\/819\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 8\/9 (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/133 or 0?\nAnswer: -6\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - 10518\/(-30). What are the prime factors of 4 + (-1 - 2) + s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323.306ng in grams?\nAnswer: 0.000004323306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*(-208)\/1612.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-9))\/(-14)*3\/16?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 3*r + 0*r - 4 + r. Calculate the remainder when 28 is divided by h(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1113*g**2*o**3 - 121641*g**2*o - 33*g*o - 578*o**3 wrt o.\nAnswer: -6678*g**2*o - 3468*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39325272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, s: 4, e: 2}. Give prob of sequence eaas.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/15 - 39\/(-15). Solve -5*r - 2*i + 10 = k*i, -r - 3 = -4*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**4 - 8*r - 2. Find the first derivative of x(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73873811 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44\/29 + -103\/87. Let w = 5.8 - -0.2. Let v = w + -8. Which is the closest to v? (a) -4 (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31768 and 13047984?\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:37 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(8 - 2) + (-75 - 31)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -0.3, -4, 8.79, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 6*r - 1. Let y be (-1 + 1 - 2) + -3. Calculate the remainder when 5 is divided by g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*z = -2*z - 29, 0 = 2*t - 5*z - 12. Let w = 29 - t. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -62*j**2 + 8*j. Let b(z) = -41*z**2 + 5*z. Let i(x) = -8*b(x) + 5*k(x). Let o = 155 + -153. Let l(n) = 47*n**o + 4*n - 4*n - 48*n**2. Give i(l(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 + s**2 + 2*s + 1. Let p be h(-1). Suppose 5*a = 3*t + 36, -3*t + 27 = -2*a + p*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1.461 (b) -1 (c) 1.5 (d) 4 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10101001101110111011111000111?\nAnswer: -10101001101110111011111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 - (-1072)\/(-20). Let g be 68\/(-387) - 12\/s. What is the third smallest value in 0.3, -1, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1389144.3118375 - 70.\nAnswer: 1389074.3118375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 67 = -47 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -98090 at least as big as -98091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.97 + 13.67. Let j = c + -13. Do 1\/5 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22722509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-8 - -19) - 33) + -6\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10343130 + -24422?\nAnswer: 10313203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2995390 = r + 2995391, 3*j - 3*r + 21 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) + 28\/(-20). Let u(r) = -2 + 4*r + 1 + 0*r + r. Let l(a) be the third derivative of -a**4\/24 - 2*a**2. Give y*u(c) - 4*l(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**2 - 19. Let s(j) = 2*j**2. Give a(s(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 211833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 141802.05?\nAnswer: -425406.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/12 - 2*g**3 + 60*g. Let w be p(12). What is the closest to w in -6, 1\/4, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*w*x**3 + 12*w*x**2 - 24*w*x - 11*w + 4*x**6 - 21340*x**4 - 88*x**2 + 2*x + 2 wrt x.\nAnswer: -666*w + 480*x**3 - 512160*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/148? (a) -2\/5 (b) 77 (c) -0.2 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/4 - 4365*v**3 + 1912469*v**2\/4 - 11214909*v - 103428703 = 0.\nAnswer: -17569, -7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:44 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 17*l + 9. Let s be c(-9). Factor s*h**2 - 6 - h**2 + 11 - 4*h.\nAnswer: -(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a = -57*a - 156 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 16) to base 13.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 17*q + 33. Let u be j(-15). Solve s + 1 = -u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:26 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -b218a2 (base 12) in base 15?\nAnswer: -39e2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/9 + 1384*w\/9 + 5504\/9 = 0.\nAnswer: -688, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 11:59 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from rrrrrnrrrrn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.9 + -7. Let m = 0.8 + t. Let y = m - 0.2. What is the second smallest value in 0, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25961.2533ns to days.\nAnswer: 0.00000000030047746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3438 and 1900944.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 4*l, 0 = -5*n - 3*l + 1 + 24. Let s(c) = 14*c**2 - 17*c + 8. Let j(h) = -9*h**2 + 11*h - 5. Calculate n*s(v) + 8*j(v).\nAnswer: -2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((7 - 3)\/(-8)). Suppose -u = -j*a, a - 16 = -5*u + 5*a. Solve l = -q + 2*l + 6, -u*q + 12 = 2*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 - 2*f + 3. Let l be d(-3). Suppose -2*s - o = 3, 4 = 5*s + o + 10. Sort l, s, -1\/4 in decreasing order.\nAnswer: l, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487440.\nAnswer: 2, 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 11 + 252\/(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3\/2 + 5115*w**2\/2 + 2256390*w + 4502530 = 0. What is w?\nAnswer: -566, -2, 1591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 558485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 - -3) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -238 - -291. Differentiate -19*k**3 + 3 + 22 - x wrt k.\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 5*r + 1112*r**2 - 1080*r**2. Let v(y) = y**2. What is v(a(k))?\nAnswer: 1024*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1466399 and 5302?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497435121?\nAnswer: 7, 13, 83, 198257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6199 - 3450. Let o = k + -1797. List the prime factors of o.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -32. Let d = -7 + 10. Suppose -d*t + p = -124. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 94?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(34*a - 63*a + 8*a**3 + 29*a) as p*a + j*a**2 + x*a**3 + s and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 2:15 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204158 (base 9) to base 6.\nAnswer: -2332512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/4)\/((-6)\/12). Put 5, -2, k in descending order.\nAnswer: 5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304 - 159. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685191 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let b be i(1). Let o = -3 + b. Let y be o*(0 - 19\/1). Solve 4*v + y + 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138 + 134. What is the biggest value in 1\/3, -2\/11, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(15\/12)*10\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 520*l - 18256. Determine n(35).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 686*a - 683*a = -24, -4*b + 30 = -2*a - 12 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 1.6. Let i = -2.2 + 2.4. What is the biggest value in m, i, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1160 divided by 232\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and -1 + -2 + 12\/8*8?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-28)*((-6909)\/(-94))\/(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 6*k**2 + k**2 - 3*k**2. Let q(d) = -4*d**2. Determine q(x(w)).\nAnswer: -64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.01 (b) 3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 123758, 247513, 371268, 495023, 618778?\n\"Answer: 123755*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = 4. Let q = -3 - i. Suppose 2*d - 6*d + 76 = q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-597)\/(-30) + 247\/(-13).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 896*b. Let r(w) = 49*w**2. Give r(j(t)).\nAnswer: 39337984*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551345 is divided by 517115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 306119 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3861 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1680 + 18465\/11. Suppose 2*r + 3*r = 200. Calculate the common denominator of n and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313455.9 decades in months?\nAnswer: 37614708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h + 3. Let q be n(0). Suppose 9 = -0*m + q*m. Let v be ((-4)\/2)\/((-14)\/(-21)) + -1. Sort m, v, 2.\nAnswer: v, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(10\/(-10)*-1*(-5)\/(130\/14)).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-115893)\/12798 + (4 + -5 - 25\/(-10))\nAnswer: -68\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22697976.\nAnswer: 2, 3, 7, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*r + 2*r + 8889, -20 = 4*r. Calculate the remainder when w is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:41 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3028032\nAnswer: -5\/3028032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5713.1 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/994 and 71\/35?\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*w = 15, 2*x + 2*x = 4*w + 36. Suppose 49 = x*q - h - 35, 4*q = -2*h + 70. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194 - -213. What is the nearest to 0 in 5, -0.2, z, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154*c**2*p**3 - 3*c**2*p + 5*c**2 - c*p**3 - c*p**2 wrt p?\nAnswer: -924*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -106*u + 137*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 8*i**2 + 2*i - 8. Let r be p(-8). Let b = -7 - r. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 101*n - 556. Give g(-55).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -909819 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5424.55 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**6\/6 - 7*g**3\/3 + 2. Find the third derivative of l(s) wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(136) - -2*(-1*sqrt(136) + sqrt(136)) - (sqrt(136)*2 + sqrt(136))*6)\/(((sqrt(288)*-1 - sqrt(288)) + sqrt(288) - sqrt(8))*-4).\nAnswer: -17*sqrt(17)\/28 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/133348*-37*(-16)\/(-2)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + d - 70. Let k be i(8). Suppose k*a = -6*a - 16800000. Round a to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3645332 (base 7) to base 5\nAnswer: 104342103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 65829*u + 98739.\nAnswer: (u + 32913)*(2*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, r: 4, b: 5}. What is prob of picking 3 b?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -224)*13\/13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 2*l - 16, -3*q + 5 = 2*q - 5*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + -45 + 38 + -34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f. Let c(r) = 3*r. Let l be 8\/10*-2*5. Let z(g) = l*c(g) + 5*p(g). Let a(b) = 2*b - 3*b - b. Give z(a(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 845550 (base 13) to base 4\nAnswer: 23303332203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28073549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (41 - (0 + -2)). Let p = w - -37. List the prime factors of p - (-32)\/(-3)*-3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*h**5 + 13*h**5 - 57*h**5 + (4 - 2*h**2 - 5 + 6*h**2)*(-2*h**3 + 2*h**3 - 2*h**3).\nAnswer: -23*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 2:06 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(90)\/sqrt(3)*-1)\/(sqrt(324)\/sqrt(6)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10715.1808 and -28.8?\nAnswer: 10743.9808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -61?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - a + 5 = 4*a, -10 = -u + 5*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**1\/q)*q)**26*q**(-6)*q**0*((((q\/q**(-2)*q)\/q)\/q)**(-23\/6))**(-4) assuming q is positive.\nAnswer: q**(230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 24 = 121*j - 229*j + 113*j, 2*h - 3*j + 17 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1806071 and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -56663, 3\/14, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5864 and 4119.\nAnswer: 2415.3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 531 - 57877\/109. Is f < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011001110111011001011000?\nAnswer: -1011001110111011001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.065371 tonnes?\nAnswer: 9065.371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 - (-10 - -2 - (-16 - -14)) - 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from osifffoosf.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 27. List the prime factors of (14\/4 + -3)*u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759094951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3307 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 238930481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1)*(-1)\/(-1). Let h be (-1 - -1)\/(22 + -20). Sort h, -1, p in increasing order.\nAnswer: -1, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + 1 - ((9 - 1) + (-118 - -106)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**6\/150 + 13*o**5\/50 - 157*o**4\/60 + 8*o**3 - 54*o**2\/5 + 9*o + 142. Find z, given that j(z) = 0.\nAnswer: 1, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315342370233 - -1.\nAnswer: 315342370234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10745, -10742, -10739, -10736, -10733, -10730?\nAnswer: -10727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*t - 178468 = 0, -2*a = -0*t - 4*t - 89222. Suppose 0 = 9*h - a - 1920. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -560*a + 2390. Give c(2).\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 3}. What is prob of sequence hq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k + 10. Let h(p) = p. Calculate d(x) - 3*h(x).\nAnswer: 17*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31026032 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(-4\/15))**(-2\/21) assuming v is positive.\nAnswer: v**(8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 10\/4 - 3)\/((-202)\/101)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*2)\/(5 + 2). Let y = -3.5 + 3.6. Which is the closest to y? (a) -0.4 (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*z + 43*z - 1240. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -1579841.\nAnswer: -1579841, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11.56961 micrograms to grams.\nAnswer: 0.00001156961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.5 + 5.6. Let x = -1.100003 + o. What is x rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffnnnfnnnqfnn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 3 + 3 - 11 - 87*p**3.\nAnswer: -87*p**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*t - 10, 0 = -3*t + t + 4. Suppose 2*v + 2*a + 100 = s, -a + 2*a - 138 = 3*v. Let h = -283\/6 - v. Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4aa29 (base 15) in base 6?\nAnswer: -5040203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1300) + -2 + 3 + 5 + 4 + -1) + 2)**2.\nAnswer: 6720*sqrt(13) + 49936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -25 - (-1 - 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**2\/2 - 5*d - 16. Let o be a(-10). Let c(f) = -f - 6. Determine c(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 + 458*a**3 + 28614*a**2 + 588022*a + 1923064 = 0?\nAnswer: -143, -41, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460414 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58644743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 12. Let y be i(12). Suppose -t + 2*t = y. Let l(k) = -k**2 - 6*k - 6. Let f be l(-4). Solve -f*a + 12 = 4*z, t = -z + a - 2 + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 9. Suppose 0 = 2*n - 0*n + 10. Let r = 7 + n. Solve -r*c = -0*c + g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(0 - 1) + 1. Let r(f) = 2*f**2 - 6*f + 4. Let d be r(4). Let h be (-4 - (-60)\/9)*d. What is the greatest common divisor of h and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + r + 1. Let x be z(-1). Let m = x + 0. Solve 0 = -m*n + 4*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13098*k**3 + k**2 + 2*k + 1. Let r be b(-2). Suppose -5*u + 325215 = -r. Round u to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/2999 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/298 + -519\/3278. What is the nearest to b in 1.8, 4, -7?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/5296037263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*6\/90)\/(4\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8680 (base 13) to base 3.\nAnswer: -221122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130.99596 - -131. Round c to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*v = -105*v - 17420. Calculate the greatest common factor of v and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-6)\/(168\/(-49)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 14 + (-7 - -4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2 + 2)*((3*x**3 - 4*x**3 - 2*x**3)*(1 - 9 + 2) - 369 + 369 - 26*x**3).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10))**(20\/3)\/((((((w**(2\/89)*w)\/w)\/w)\/w)\/w)\/(w*w**9*w*w)))**(2\/29) assuming w is positive.\nAnswer: w**(-27602\/7743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 84, 92, 112, 150, 212, 304, 432?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((329\/(-1410))\/((-28)\/8))\/((-5)\/(-30)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + z + 372 = 0. What is the second derivative of -z*a**4 - 22 - 25*a**3 + 25*a**3 - a + 52 wrt a?\nAnswer: -372*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-18))\/(((-258)\/(-36))\/(-43)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 11*u**2 - 27*u - 5. Suppose 4*v + x = 32 - 4, 4*v - 4*x - 28 = 0. Let h be k(v). Which is the nearest to -1? (a) h (b) 6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -147, -338, -607, -954?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -49. Let w(v) = -1 - 1 - 1 + 4*v**3 - 2*v**2 - 3 + 2*v. Let y be w(3). Calculate the greatest common factor of y and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.09, 0, -0.5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15))\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296993 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2039*c**3 + 620857 - 620857 + (2*c**2 + 2*c - 2*c)*(c - c - c) to the form z*c**2 + l + n*c**3 + i*c and give n.\nAnswer: -2041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 19 = -3*z + 1, -2*w + 12 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 2*m**7\/21 - m**6\/3 - 13*m**5\/10 + m**4\/6 + 11*m**3\/3 + 4*m**2 + 21*m - 2. Suppose h(d) = 0. Calculate d.\nAnswer: -1, -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -10. Let i(f) = -z*f**2 + 0*f**2 + 21*f**2. Let x(c) = -17*c. Determine x(i(s)).\nAnswer: 68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4920 divided by -820\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511027?\nAnswer: 7, 73, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 3:59 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-15*1\/(-3). Let i be (-9)\/s + 1 + 1. Let t be ((-2)\/(-6))\/(1\/3). Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12*1 - -2) + (9 - 8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (255\/6 - 0) + 13\/(-26). What is the hundreds digit of 1\/(-6) - (-18361)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6129 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4580 + 4628. Which is smaller: z or 473\/10?\nAnswer: 473\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sej when three letters picked without replacement from essj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*w - 29 = -38, 0 = -5*a - 4*w + 45 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/27*33 - 3. What is the third smallest value in x, 2\/5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.5 or 953?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10187*c - 14171*c + 1876*c.\nAnswer: -22482*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2. Let x(h) = 728007048*h. Calculate x(l(q)).\nAnswer: -1456014096*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.49166 milligrams in micrograms?\nAnswer: 55491.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)\/2*0 - 2. Let x(s) be the first derivative of -s**3 + 3*s**2\/2 + 4*s - 1042. Give x(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10512710 divided by -808670.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 + -17)*14\/(-280))\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*q - 1644 = -103*k, -2*k + 10 = -q + 6 - 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 358 or 359?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-13)\/k*k\/(k\/(k*k*k**(-14)*k)))\/(k**10\/k**(-1)))**30 assuming k is positive.\nAnswer: k**(-1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 285*k**2\/2 + 4173*k\/2 - 3887\/2.\nAnswer: -(k - 13)*(k - 1)*(k + 299)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 89540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 340390915 divided by -174113?\nAnswer: -1955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71\/3 + -24. Let c = 11 - 8. Suppose -3*b = 4*v - 20, -b - 2*v + v + 6 = 0. What is the nearest to 1 in c, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/585 and 37\/81.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467494 + -187887. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 3 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1244 = 3*q - 1256. Solve -9*a - q + 31 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -4 (c) 0.2 (d) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1281662665 + 13.\nAnswer: -1281662652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:20 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnp when three letters picked without replacement from nntpnmd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.5 (c) 14 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 11270?\nAnswer: 22540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + r + 85 = 5*x, 2*x - 3*r - 91 = 0. Solve 0 = 47*y - x*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000101110000 (base 2) in base 8?\nAnswer: -130560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 257 - -66?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4171 is divided by 2076?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -23, -57, -105?\n\"Answer: -7*k**2 + k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6704032?\nAnswer: 2, 383, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -491*z + 21609. Give h(45).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -14. Let u(a) be the third derivative of -a**4\/24 + 4*a**2. Let k be u(-4). Calculate the highest common divisor of s and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*x + 660 - 1012 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**3 + 2*u**2 + 8*u + 1. Let a(s) = s**3 + 13*s**2 - 25*s + 367. Let g be a(-16). Let n(o) = -o**3 + o. What is g*m(f) + 4*n(f)?\nAnswer: f**3 - 2*f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 1040?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9947.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 79 + 79)*(5*a**3 - 5*a**3 + a**3) + (-8*a + 8*a - 12*a**2)*(-5 + 2*a**2 + 5) in the form r*a + p*a**3 + f*a**2 + l + z*a**4 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 15*o - 4. Let z be i(14). Let d = 81\/8 - z. Let y = 0.02 + -0.02. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 7*v**2 + v**2 + 2 - v**2 - 2 + (-v**2 + 2 - 2)*(0 + 2 + 0) + (1 - 1 + 3*v)*(v + v + 0*v) + 0*v + 0*v - 2*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2 - 7. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 0*n**2 - 3*n**5 + 0*n**5 + 2*n**5 + 0*n**5 + (n**2 - 3*n**2 + 0*n**2)*(n**2 + 2*n**3 - n**2) - 2*n**4 + 2*n**4 + n**5 - n + n + 3*n**5.\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 261177738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.117.\nAnswer: -0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5303 = 5*f + 5307, -3*t = 3*f - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.1896 to the nearest integer.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10761 - -2584. Let y = u + -13121.47. Let k = -222 + y. What is k rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 32. Let k be v(15). Suppose -a - 1 = 0, -5*a + k*a = 2*z - 371. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.03, -3\/5, 11 in descending order.\nAnswer: 11, 0.4, -0.03, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 550 - 290. Suppose -3615 = -a*q + 255*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x + 1005 = 0. Suppose b = -4*b + x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -32*t + 134 + 60. Solve -t*w + 2 = 3*z - 7*w, 5*z + 2*w = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7717357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*g)*(21*g - 65*g - 14*g).\nAnswer: -174*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:42 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 2\/3 (c) -1375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 37 + 3*f**2 - 37.\nAnswer: f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(93\/45 - 2). Suppose -2*u + 19 = -s - d, 54 = 2*u + 4*s. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0 + 0*d**4 + 0*d**3 + 1\/270*d**5 + 0*d - 2*d**2. Determine t so that y(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 2 - u - 2 + 323*u**3 + 4*u**2 - 322*u**3. Let i(m) = -2*m**3 - 4*m**2 + 7*m - 1. Determine -i(r) - 4*k(r).\nAnswer: -2*r**3 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:00 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -36*f - 2. Let x be j(-2). Let z = x + 135. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238616477 to the nearest integer?\nAnswer: 15447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l**2 - 12. Let i(g) = -2*g**2 + 2. Calculate 6*i(p) + w(p).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14948 and 1776.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v - 4. Is 1\/2 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vja when three letters picked without replacement from {a: 6, j: 1, l: 3, v: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 236132 + -3?\nAnswer: 236129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m**2)*(-23 + 6*m + 23)*(0*m + 3*m + 0*m).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.26 - -30. Let d = -3.26 - t. Suppose 0 = -0*g + 4*g - 5*n - 8, 12 = 3*n. Put -1, d, g in ascending order.\nAnswer: d, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6220.116 from -523.7925.\nAnswer: -6743.9085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2403702?\nAnswer: 2, 3, 7, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yytw when four letters picked without replacement from yypyywwywwt?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*c = -15, -c = 8*t - 3*t - 9. What is the nearest to 5 in 2, t, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -417\/631276 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by -11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -4448, -16204, -39100, -76850?\nAnswer: -133168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/102 and 37\/16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10233 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(7\/3)\/(j**(-2\/17)\/j**(-7))*(j\/(j\/(j\/(j**(-4)*j))))\/j*j**(2\/21)*(j**2)**(-5\/7) assuming j is positive.\nAnswer: j**(-266\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/200 and -2 + 56183\/20900 + (-2)\/(-11)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 21. Calculate the remainder when (-15)\/((-3)\/8*2) is divided by b(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 o, and 1 a when four letters picked without replacement from {a: 1, g: 4, o: 4, b: 1, f: 1, e: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {g: 2, v: 7, h: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24505.022 and 2624.\nAnswer: -21881.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}