diff --git "a/data/dm_maths/full_data/2733_11255.jsonl" "b/data/dm_maths/full_data/2733_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2733_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the hth term of -1219, -2415, -3613, -4813, -6015?\n\"Answer: -h**2 - 1193*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625, -2295, -5091, -9025, -14109, -20355, -27775, -36381?\nAnswer: -46185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - (-38)\/6. Let n be ((-2)\/z)\/((-1)\/9). Suppose 100 = n*a - 2*m, 6*a - 3*m = 3*a + 99. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**4 + 82*y**3 - 194*y**2 - 3662*y - 3462. Let c(w) = 4*w**4 - 27*w**3 + 65*w**2 + 1221*w + 1152. Let k(v) = 10*c(v) + 3*m(v). Factor k(a).\nAnswer: -2*(a - 7)*(a + 1)*(a + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**3 + 59*m**2 + 5*m + 92. Let l(f) = 3*f**3 - 29*f**2 - 2*f - 45. What is 2*c(k) + 5*l(k)?\nAnswer: -k**3 - 27*k**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -39255\nAnswer: -4\/39255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220122102010 - 11?\nAnswer: -1220122102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 5. Let l(t) = 46784*t. Determine l(h(q)).\nAnswer: 187136*q**2 - 233920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*j + 2*j - 464, -3*j + 309 = 2*i. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003967871563 rounded to 6 decimal places?\nAnswer: -0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 559\/3 + -185. What is the third smallest value in k, -1, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-113))\/(196\/(18424\/(-282)))?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10182478 (base 9) in base 7?\nAnswer: -56422046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) + 94\/6. Let z be (48\/(-9))\/((-18)\/135). Calculate the greatest common factor of n and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959873*q + 960100*q - 10442 = 0 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 311*w**2 + 73*w - 249. Give s(-62).\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -17, 7, -2, 0.09, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 8210167.\nAnswer: 106732171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2. Let w(s) = 5. Let q(a) = -14*g(a) - 6*w(a). Let m(o) = o**2 + o + 1. Give 2*m(v) + q(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*12*2\/4. Let b(k) = -k**3 - k + 110. Let r be b(0). Let f = d + r. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235402548 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 884999172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1006406 and -7.\nAnswer: 7044842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43232240 divided by 540403.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 38695.64 seconds?\nAnswer: 38695640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45 - -0.05. Let y = g + -1.6. Sort y, 2\/7, 3.\nAnswer: y, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15 - 2*g - 6*g**2 + 11 - 2*g**3 + g**3. Calculate t(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 25) + (15 - 0) + 2 + -1 - -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88.1 + -88. What is the third smallest value in -1, 0.5, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 5 (c) -1245170 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 15*l**2 - 7*l + 9. Suppose -m - 66 = j - 5*j, 5*j - 87 = -m. Does 26 divide y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1429 divided by 640611?\nAnswer: -1429\/640611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 17*c - 115. Suppose -2*w - 2*i + 32 = -0*w, 5*w = -4*i + 83. What are the prime factors of y(w)?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36153, -72301, -108443, -144573, -180685, -216773, -252831, -288853?\nAnswer: -324833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(13) + -2)*-6)**2.\nAnswer: -144*sqrt(13) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15725, -62925, -141601, -251759, -393405, -566545?\nAnswer: -771185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -a - 5*y, -138*y - 148*y + 428*y - 147*y = 110*a + 115 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**3 - 27*f**2 - 56*f - 257. Determine y(-5).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12570.74993 - 12571. Round r to three decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/240 + p**5\/60 + p**4\/48 + 8*p**2. Factor b(j).\nAnswer: j*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -298*j - 2975. Let x be s(-10). Solve 3*c + 17 = 2*f, -35 = -x*c + 10*c - 5*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 + 15*t**3 + 9*t**2 - 15*t - 12 = 0. What is t?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.39 * -8.\nAnswer: 91.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2546165164 to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - ((-11 - -6) + -8)) + -15.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.059 and -245835.1.\nAnswer: 14504.2709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:35 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p\/p**(-3\/4))\/((p\/(p\/(p*p\/(p\/((p*p*p**4)\/p))))*p*p*p)\/(p**(4\/5)*p)) assuming p is positive.\nAnswer: p**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -a6?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-4\/3))\/((m\/(m**(1\/3)*m)*m)\/m))\/(m**(-4\/7)*m*m\/(m\/(m*m**0))*m))**(1\/86) assuming m is positive.\nAnswer: m**(-5\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - z**2 - 5 + 10 + 48*z - 52*z to u + f*z + t*z**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23004 and 13419.\nAnswer: 161028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 15. Suppose -n + 61 = 6*p. Suppose -p*q = -3*q - 28. Solve -q*u + 20 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -2 + -1)*(-639)\/1988. What is the nearest to x in -4\/7, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -15642, -10 in decreasing order.\nAnswer: 2, 0, -10, -15642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5*5)\/(721\/206*4\/(-301))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 3 - 3 + q**2 + 0*q**2 + 0*q**2 + (1 + q - 1)*(-7*q - 22*q + 6*q) + 4 - 4*q**2 - 4 in the form b*q**2 + o*q + n and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b3 (base 16) to base 8.\nAnswer: -1263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)*(-4 - -2). Suppose 4 = j*u - 2. Let f = -2 + 1. Which is the third biggest value? (a) 1\/3 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 812 + -9 - 6\/2. What is the hundreds digit of (-4 - (-78)\/21) + c\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3774, -7550, -11326, -15102, -18878, -22654?\nAnswer: -26430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5599 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - 16) + (-1 - -6) - 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 21*c**3 - 9*c. Let b(l) = 5*l**3 - 2*l. Let f(p) = -9*b(p) + 2*j(p). Let t = -5 + 4. Let m be f(t). Solve 3*a = -2*k - 0*k - 12, -a - 4 = -m*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464900143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/20 + f**4\/4 - f**3\/2 + f**2 + 2*f. Let o be z(-4). Let r be -6*(o\/3)\/2. Solve 8 = -r*y - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + u**2 + 1 + 0*u**2 + u**2 - u in the form a + q*u + j*u**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 216 = -12*t. Solve -4*s - t = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((1\/69)\/(4\/(-8))). What is the greatest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 129, 3, -0.3, 0.2, -0.57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**2 + 74*l + 210. Let p be y(-3). Let z = 93 - 141. Let c = p + z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:08 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1304 - 196*n - 1304 + (-2*n + n - n)*(-2 + 4 - 3) - n - n + n)*(-1 + n + 1) to u*n + p*n**2 + c and give p.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*x + 10 = 3*p - 168*x, 3*x + 10 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4417135175 to the power of 1\/2, to the nearest integer?\nAnswer: 66462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**6\/5 + g**5\/10 + 7*g**4\/3 - 4*g**3\/3 - 8*g**2 + 19*g. Suppose q(l) = 0. What is l?\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**3 - 838222*a**2 - a - 27537237 wrt a.\nAnswer: 18*a**2 - 1676444*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 541152\/7865 - 8\/1573. Let f = -69 + k. Let d = -0.1 - 4.9. What is the third biggest value in d, 0.3, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7513049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/5 - 972830*n + 1182997761125 = 0. What is n?\nAnswer: 2432075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -230?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19609103.\nAnswer: 89, 220327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgv when three letters picked without replacement from iyizivzivivzgzxvvyzz?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -414 + 432. Suppose y = 5*b + f, f - 7 = b - 13. Solve b*t - 12 = -24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 96\/18 + 5\/(-15). Solve 18 = -d*q - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l*l**(-2\/21))**(-30)\/((l*l**(-2\/15)*l*(l\/l**(-4\/7)*l*l*l)\/l)\/(l**(-1\/3))**50) assuming l is positive.\nAnswer: l**(-14621\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317896 is divided by 16676?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 8, 2828, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 + 1.9. Let w = -0.3 - 0.7. Let y = -736 + 738. What is the closest to y in w, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/48)\/(1\/(-6))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -15 - (-2 - (-6 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812861565 a multiple of 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - 1.22.\nAnswer: -114.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 62, 112, 180, 272?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**42*c*c**4*(c**(-29))**(21\/2) assuming c is positive.\nAnswer: c**(-515\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 57 = 5*y, 2*q = -2*q + 8. Let d = 18 - y. Suppose 4*p + 0*p - 879 = -d*c, -3*p + 673 = c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 43, -7, -2 in decreasing order.\nAnswer: 43, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702591089 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 b be (1 - -1 - -4) + (12 - 13). Solve o + o = -4*y + 2, 2*y = -b*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*s + 33. Suppose 0 = -s*a + 17*a - 240. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701224, -702009, -702794, -703579, -704364, -705149?\nAnswer: -705934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 2. Let h be k(-4). Find the third derivative of -9*x**h - 20*x**5 + x**2 + 31*x**5 wrt x.\nAnswer: 660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 136, 0.41, -49\/10, -3, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3153215*a - 3153126*a + 6306286*a.\nAnswer: -55*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 63, -122 in ascending order.\nAnswer: -122, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/101, 2\/13, 3?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*i - 33*h**2 + 21*h*i + 2*i + 215 with respect to h.\nAnswer: -2*h*i - 66*h + 21*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = -2*q, -17 = -5*j + q - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 - 1618319*h**4 + 5394419*h**3 - 5933869*h**2 + 2157772*h = 0 for h.\nAnswer: -539443, 0, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 243505*f**2 + 487013*f + 243507.\nAnswer: -(f - 243507)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 14*u - 9. Let k be h(12). Let a = -35 + k. Let j = 2 - a. Calculate the remainder when 85 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -75*w + 48*w. Let j(t) be the second derivative of t**3\/3 - 7*t**2\/2 + t. Let f(l) = l - 3. What is w*f(d) + 3*j(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-27)\/36)\/(2\/(-48)) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 459*v**3 - 120*v**2 + 482*v**3 + 9*v - 8924 - 939*v**3 with respect to v.\nAnswer: 6*v**2 - 240*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**2*s**3 - 2*o**2*s**2 - 2*o**2*s - 15162784*o*s**3 + 19*o*s**2 + 110*o - s**3 - 270*s**2 wrt s?\nAnswer: 6*o**2 - 90976704*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149367612.\nAnswer: 2, 3, 23, 271, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 423 = -432. Sort j, 5, 101, 3 in ascending order.\nAnswer: j, 3, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 8*k - 19)*(2 - 8 - 22)*(k - 4*k + k) to the form a + h*k + g*k**2 and give g.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-10 - (-17 - -18 - 0))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 46*i + 4*i)*(-2 + 3 + 1) + (1 - 4 + 1)*(2*i + 2 - 2) + i - 4*i + i + i + 0*i + 0*i + 2*i - 2*i - 2*i.\nAnswer: -97*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 422352 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in millimeters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303 or -9860?\nAnswer: -9860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.2 - -18.3. Let d = z + -24. What is d rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 220 - 220 - 13*o. Let h(b) = 2*b**2. Give h(w(j)).\nAnswer: 338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:14 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 4. Let q(x) = x**2 + x - 4. Let u be q(-3). What is the third derivative of 2*t**z - 2*t**2 - 2 + u wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -45. What is the least common multiple of 1 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -94\/23 (c) -1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, 5\/3, 253\/24?\nAnswer: 253\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 55. Suppose 26 = s*l + 3*i, -l + 5 - 2 = -i. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -18*o**2 + 15*o + 5. Let c(k) = -28*k**2 + 24*k + 8. Let j(t) = -5*c(t) + 8*p(t). Let u(h) = -2*h + 12. Give u(j(r)).\nAnswer: 8*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748.850595 rounded to 1 dp?\nAnswer: 1748.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10733? (a) 6 (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 4*n**2 - 29179*n + n**2 + 2*n**2.\nAnswer: 4*n**2 - 29179*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 3*x**2 + x - 1. Let z be f(-1). Suppose z*h + 9*h = 432. Let o = h + -43. Calculate the lowest common multiple of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -14.9. Let n = q - 0.6. Put n, 0.1, 0 in descending order.\nAnswer: n, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1212130 (base 4) to base 2\nAnswer: 1100110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*k**3 - 2*k**5 - 60*k**3 + 0*k**5)*(-1 + 1 - 1)*(0 - 3 + 1).\nAnswer: -4*k**5 - 26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1355, -4\/5, 1 in decreasing order.\nAnswer: 1, -4\/5, -1355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -1)*(-1)\/(-17). Let o = 37\/68 - d. Let h be (-243)\/(-24) - (17 + -19 + 12). What is the nearest to 1 in 4\/9, h, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 0.03 (b) 2\/3 (c) 4104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.11 (b) -1\/2 (c) -1 (d) -0.21628 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 8*y - 2*u + 63070, 3*y - 2*u = 47299. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19630 by -4.\nAnswer: 9815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-49 - -48 - ((-4 - -2) + 3))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 181, 530, 1205, 2314, 3965?\nAnswer: 6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038495.2 rounded to the nearest 10000?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**6\/10 - 18*d**5\/25 + 33*d**4\/20 - 2*d**3\/5 - 18*d**2\/5 + 24*d\/5 + 46. Factor o(c).\nAnswer: 3*(c - 2)**3*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4366 + -2582. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(14\/5)*r**(3\/2)*(r*r*r*r**(-10)\/r*r)\/r assuming r is positive.\nAnswer: r**(-139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (41151\/6842 + -6)*(-4)\/6. Let s = g + 5915\/622. Find b, given that -16*b**2 - s*b - 3\/2 - 8*b**3 = 0.\nAnswer: -1, -3\/4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 87 = -22*s. Is 492264\/63 + s + (-38)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/(-6))*-1. Let a be (h\/(-2))\/(9\/(-2)). Let k = -4 - -6. Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6391*o. Let d(g) = 2*g + 4571576 - 4571576. Determine d(v(r)).\nAnswer: -12782*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/7)*j)\/j)**46\/(j\/((j**(5\/6)\/j)\/j))**23 assuming j is positive.\nAnswer: j**(-713\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.58098 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -172506*f + 26565925. Give a(154).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/10 - q**3\/6 - 15*q**2. Suppose 3*o + 1 = 4*o. Let a be d(o). Solve a*m - 7 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -7*s**3\/3 - 22*s**2 + 2*s. Let u(d) = -2. Let y(n) = 2*b(n) - 44*u(n). Let i(a) = -a**2. Give i(y(q)).\nAnswer: -784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = -2*c - 0, 1 = -c - 4*u. Suppose 0 = j + c*t - 33, t - 2*t = 4*j - 77. Calculate the remainder when 51 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f + 3*f)*(f**2 - f**2 - f**2 + (-1 - 2*f + 1)*(f + 3*f + 5*f)).\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2357 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-55) + ((-17193)\/3870)\/(-11). Is 1 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 76, 163, 284, 439, 628?\n\"Answer: 17*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-106)\/(-53)*(-1)\/2. Which is the third smallest value? (a) 2 (b) -0.5 (c) s (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 1428. Suppose 0 = -4*c + a. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 9*a**2 + 10*a. Let o be s(7). Let r be o\/(-10) + (-3)\/(-15). Solve r*w - 9 = -3*x - 3, -x = -2*w + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1322 + -210?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12 and 29\/1636.\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (4 - 12) - ((-7 - -6) + 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + 2*sqrt(1700) + sqrt(1700) + sqrt(1700) + -2)**2 - ((sqrt(1700) - (sqrt(1700) + 1 + sqrt(1700) + 2)) + 0 + sqrt(1700) + -1 + -5)**2.\nAnswer: 480*sqrt(17) + 27155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 2. Let h(c) = -3*c + 5*c - 2 - 5*c. Let m(x) = 6*b(x) + 5*h(x). Suppose -t - t - 10 = 0. Give m(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28936242 divided by -18.\nAnswer: 1607569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4785\/261*54\/105*(-1)\/2.\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 111939*b + 2351603. Calculate i(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/23 + 15728068*t\/23 + 30921515376578\/23.\nAnswer: 2*(t + 3932017)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -18 - (71 - 89 - -3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 33*t**3 - 2*t**2 + t. Let w be v(1). Let b be (2 + -60)*(-2)\/(-4). Let o = w + b. Solve -1 - o = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zizz when four letters picked without replacement from {z: 4, i: 6, m: 5, f: 5}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*k - 979 + 979 + (-1 + 5*k + 1)*(4 - 3 - 2) to the form p + o*k and give o.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 1377 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 8764?\nAnswer: 17528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5104 and 7638832.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/7 + 6*x**2\/7 + x - 60\/7.\nAnswer: -(x - 5)*(x - 4)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -198 and -196 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 3*w - 4*w**2 - 3*w as c + y*w + j*w**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44096 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5\/11, 5\/6, -192 in ascending order.\nAnswer: -192, -3, -5\/11, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Suppose w = z*w - 12. Put -5, w, -1 in descending order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4.8. Let v be 28\/(-5) - (-2)\/(-5). Let a be (-2)\/v + (14 - 14). Put b, a, -0.2 in descending order.\nAnswer: a, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -512\/8181 + 4\/303. Find the common denominator of -2\/63 and m.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let y be -1 - -4 - -3 - 3. Let o be j(y). Suppose 4*t = -a - 5, -4*t - 4*a = a + 25. Solve -o*r + 0*r - 6 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y + 0*y + 0*y)*(-y + 2 - 2) + y**2 + 4 - 4 + (-3*y**2 + 5*y**2 + 0*y**2)*(-2 + 1 + 4))*(9 + 12 - 11)*(4 - 2 + 0).\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - -0.165. Let p = f - 4.995. Let i be (-16)\/6 - 2\/6. Which is the third biggest value? (a) p (b) 2 (c) i (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*i - i - 61814. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 190 - 116 = 0. Calculate the least common multiple of 3 and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2071 - -1955. Calculate the smallest common multiple of b and 45.\nAnswer: 60390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let w(a) be the first derivative of -26\/3*a**3 + 44 + 0*a + 0*a**2. What is w(t(x))?\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423 take away -16001.1196272?\nAnswer: 14578.1196272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 + 1059 - 188 + 0*o**5 + o + (-2 + 2 - 2*o**3)*(-4*o**2 - o**2 + 3*o**2) + 0*o - o**5 + 0*o.\nAnswer: 5*o**5 + o + 871","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1\/w*w)\/(w**0\/w))\/(w**(-2\/23)\/w*w\/w**(-7)*w) assuming w is positive.\nAnswer: w**(-113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.5 - -43. Let w(l) = -6*l - 5. Let h be w(-1). Which is the second biggest value? (a) 4 (b) 0.1 (c) z (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06175 to three dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 494*h + 284*h + 9 - 2946*h - 1143*h - 7 to the form r + v*h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5791 divided by 50\nAnswer: -5791\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:12 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635746 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = 0. Let f(x) = 3*x - x + y*x. Let u(i) = 2*i**2. Give f(u(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003711864997 rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 2*y**2 - 2*y. Let b be r(-1). Let v(l) = 36*l**2 - l - 1. What is the units digit of v(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 5*q**4\/4 + 15*q**2\/2 + 6*q + 8. Let w(y) be the first derivative of k(y). What is the derivative of w(p) wrt p?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-12)\/(-8) - -1. Which is the nearest to 3? (a) -4 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let c(j) = 5*j**2 + 6*j. What is o(c(m))?\nAnswer: 25*m**4 + 60*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 21*c + 17. Let q(l) = 15*l - 3. Calculate o(q(a)).\nAnswer: 315*a - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -79268365 divided by -54857\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -136 (b) 2\/7 (c) -1690 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(5)*6)\/(sqrt(162) + sqrt(162) + sqrt(162) + (sqrt(162) - sqrt(162)*-1)).\nAnswer: 2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 34 = -2. Let m be (1\/2)\/((-2)\/v). What is the units digit of (-1)\/m*(2 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 3*y**2 - 11*y - 8. Calculate the remainder when a(6) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 3. Let p(d) = -d - 1. Let z(m) = i(m) - 3*p(m). Let w(u) = 4*u. Suppose 4*b + b = -5*t + 10, -6 = 5*b + t. Give b*w(x) + 11*z(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 72*f + 73*f - 325 = 0, -5*f = -4*o + 643. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124.5+-0.054499822\nAnswer: 124.445500178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.028 - -0.0253. Round z to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -37*x. Suppose -15 + 6 = 3*i. Let u(q) = 445*q. Let j(a) = i*u(a) - 35*s(a). Let d be j(-1). Calculate the highest common divisor of 100 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2702 - 504 + 3*k**2 - 2198.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n - 3. Suppose 2*f = -n + 13. Suppose -2*p - 3*w = -12, 0 = f*w - 5 - 15. Solve 0*t - t - 5*x = p, x - 1 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57478.77 milligrams?\nAnswer: 0.00005747877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1741*r - 68600 = 26*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 5*d - 6. Let t be q(-5). Is ((-3)\/t)\/(2\/212) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293062197 is divided by 5163.\nAnswer: 5154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -280 (b) 4 (c) -0.4 (d) -0.1 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(5*1*(sqrt(11) + -1)*-2)**2.\nAnswer: -1000*sqrt(11) + 5996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 0*m - 814 + 814.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l - m, 2*m = l - 20 + 6. Suppose l*p - 16*p = -660. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-228402)\/(-8))\/((-75)\/(-160)). Let d = k + -60639. Let h = d + -269. Sort 3\/4, h, -0.5 in increasing order.\nAnswer: h, -0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 - 5*q + 3. Let n be c(4). Let x(w) = 1. Let v(o) = -2*o + 6. Let t = 94 + -89. What is n*v(g) + t*x(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3999*i - 470. Is n(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Let g be (14\/35)\/((-14)\/10). Let f = -28.9 - -29. Which is the closest to f? (a) i (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1843*0.4.\nAnswer: -0.07372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27799 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 332.\nAnswer: 8632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (773195\/1180 - 412)\/((-7)\/(-4))\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1595, 1, 2, 5, 14 in ascending order.\nAnswer: 1, 2, 4, 5, 14, 1595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758.931 rounded to the nearest ten?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -509, -2478, -7835, -18272, -35481, -61154, -96983, -144660?\nAnswer: -205877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*t - 3776 = 2188 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/6)\/(16\/(-504)). Let m be -6 - a\/(-6) - -7. Let j be ((-4)\/6)\/(1\/(-3)). Solve -2*g = j*g - m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58, -65, -32, 65, 250, 547?\n\"Answer: 4*l**3 - 4*l**2 - 23*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**4 - 2733*q**3 + 677508*q**2 - 24704148*q + 88150608 = 0.\nAnswer: 4, 39, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1562144\/2205 + -730\/441. Let r = f - 709. Is r less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.5 - -37.5. Which is the third biggest value? (a) s (b) -5 (c) 5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 37. Suppose 2*w - g = 3, 2*g = l*w - 2*g. Solve -2*f - w*p = 1, 4*p = 4*f - 0*p + 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54043 and 2029069?\nAnswer: 22319759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:22 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14142 and 18522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 9 = -r, 0 = 7*r - 2*r + 2*n + 15. Let f = r + 5. Suppose -f*g + 4 + 4 = 0. Is g smaller than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*251.\nAnswer: -6526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27.27045 and -0.4.\nAnswer: -27.67045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6 and 58\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 3*h**3 - 3*h**3 + 4*h**3)*(-205 - 13 - 19).\nAnswer: -474*h**4 - 948*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/259*805\/345?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 2*o + 2*o)*(o**3 - 3*o**3 + 5*o**3 + (0*o + 4*o - 2*o)*(0*o**2 - 5*o**2 + 4*o**2) + 0*o + 2*o**3 + 0*o + 2*o**3 + 2*o**2 - 2*o**2).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/522816 and -61\/52904.\nAnswer: 8887872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + 2*t**2)*(-t**2 + 2*t - 2*t) - t**3 + t**3 - 3*t**4 + t**4 + t**4 - t**4.\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6118 and 386.\nAnswer: 1180774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5401 divide 432339863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 7*b + 1. Let j be 2\/5 + (-140)\/(-25). Let z be s(j). Calculate the highest common factor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3660967 to the power of 1\/2, to the nearest integer?\nAnswer: 1913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-468)\/22698*(1 + 0).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 7 - 8 + 2 + 1. Suppose -52*j + 1344 = 124*j + 48*j. Determine w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1081 = 14*s - 1383. Calculate the greatest common divisor of s and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202010221001 (base 3) to base 11.\nAnswer: 250a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9901292\/3 or 3300432?\nAnswer: 3300432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-380)\/260) + (-446)\/34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.9. Let g be 0 - (-1 + 9\/7). Which is the nearest to g? (a) 2 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-6)\/p*p*p)**19\/(p\/(p\/(p\/p**2))*p*p)**(-2\/109) assuming p is positive.\nAnswer: p**(-8282\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*j + 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -25958562.\nAnswer: -25958560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 0*b + 4 + 9*b**2 + 10*b + 0*b**3 + 2*b**3.\nAnswer: 2*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3780 and 32138694?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 1 y when three letters picked without replacement from xffxfxfxfffyfxfyfxf?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/6 (b) -2 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p**3 - 40*p**2 + 41*p - 91. Determine o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y = -1304 + 539 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430 (base 9) in base 6?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37666381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*a = -u - 6, 4*u = 5*a + 18. Suppose 12*h - u*h - 320 = 0. What is h rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 0.03, 38, -2\/41, -0.41, -0.4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1794662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-15) - 6\/(-9). Let p = -76 + 531\/7. Sort p, x, 2\/19 in descending order.\nAnswer: x, 2\/19, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/3*(-18 - 1). Suppose -3*t - 12 = -5*t. Suppose s + t - c = -4*d, 0 = -2*d + 5*s + 1. Solve -5*a - 4*j + 19 = -d*j, -5*a = 4*j - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1732 and -2747.\nAnswer: 4757804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -491295 divided by -21\nAnswer: 23395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*j - 1. Let s(r) = r**3 - 5*r**2 + 5*r + 3. Let n be s(4). Calculate the highest common divisor of j and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 14*i + 26. Suppose -9*x + 2*x**i + 0*x**2 + 11*x + 2*x = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/228 and -15\/608.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooaoaoaooa. Give prob of sequence ooao.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = 5*o, 5*p = 4*o + 12. Let v(u) = u**3 - 5*u**2 + 5*u. Let i be v(p). Suppose 5*f + i*f = 27. Let a(x) = -3*x + 3. What is a(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*n - 79 - 2959. Which is smaller: 634\/13 or n?\nAnswer: 634\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7545 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(931) + (sqrt(931) - 2*sqrt(931)))**2 + 1 + sqrt(1539) + sqrt(19) - (((sqrt(171) + sqrt(19))*3)**2 - sqrt(475)*4)) + -5.\nAnswer: -2744 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 200, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63977 is divided by 63555.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9668700 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 24*c + 8. Let h(o) = 23*o**3 - o - 2. Let w be h(-1). Let k be q(w). Suppose -4*b + d + 42 = -d, 3*d = b - k. Solve -b = 4*l + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010773135 to 6 dps.\nAnswer: 0.001077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 - 4.91. Let r = k + 4.7. Let v(n) = -2*n**2 + 2*n - 1. Let m be v(1). Which is the closest to m? (a) 1 (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*z + 114 = 0, 4*j + z = -3*z + 144. Let f(s) = -12*s + 931. Let l be f(75). Calculate the highest common divisor of j and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 981417294*n**2 + 1273873526?\nAnswer: 1962834588*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -15. Let a(y) = 4*y - 2*y - l*y + y. Let t(b) = b**2. Give a(t(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:48 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1426\/115)\/((-4)\/(-10)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68618 is divided by 693.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -126.53 and -627.\nAnswer: -753.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2442069\/22 + -110662. Let k = n - 341. Suppose -5*a - 1 = 4. Which is bigger: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37931855 and 37931856 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g\/g**(-5))**(6\/25)*((g**(-1)*g)**(6\/23))**(-4) assuming g is positive.\nAnswer: g**(66\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 1 + 16\/8. Let t(c) = c + 3. Let b(d) = d + 4. Let k(g) = -2*b(g) + 3*t(g). Give k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 24 = -0*s. Suppose 2*m + 5*t - 2 = -25, 26 = -2*m - 4*t. Let c(f) = 2*f**2 + 38*f - 9. Let q be c(m). Is s not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64\/13 in 0.2, 5, 2, 3, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15635 + -1562015?\nAnswer: -1543050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11452 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-1690))\/((-7)\/637*7).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -56. Sort -2, 2, k in ascending order.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 6 (b) 0.19 (c) 2 (d) -0.06 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12738 and 0.2.\nAnswer: 2547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/105*-3 - 81\/(-405). Factor -16\/7 - m*p**2 - 8\/7*p.\nAnswer: -(p + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3197*b + 6394*b - 3197*b - 12823*b**3.\nAnswer: -12823*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z - 1. What is b(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 2. Let m be i(0). Let x be (-14)\/35 - (-64)\/10. Let z = x - 4. Is m greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 650\/207?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3441, 11618, 25241, 44316, 68849, 98846, 134313, 175256?\n\"Answer: h**3 + 2717*h**2 + 19*h + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11323, -22648, -33979, -45316, -56659, -68008, -79363?\n\"Answer: -3*h**2 - 11316*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*w + 5*q - 4 = 0, -28*q = 5*w - 13*q - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 + 2 = 0. Let a = 2 + h. Solve 3 = -m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203.3 + -205. Do 5 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-3) + 8 + -3 + -1. Let z = -1.1 + 1. Which is the nearest to z? (a) 3\/5 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4931746 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14569497737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11422.\nAnswer: 2, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -2*r**3\/3 - 10*r**2 + 5*r + 12. Let c be s(-10). Suppose -11 + 31 = c*n. Solve n*g - g = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -243*r + 974. Determine p(8).\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7408674 and 42.\nAnswer: 7408674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkqq when four letters picked without replacement from {q: 5, k: 8}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -19*u + 18. Let s(t) = 6*t - 6. Determine -2*d(i) - 7*s(i).\nAnswer: -4*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.9 * 18045.\nAnswer: -232780.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 7, f: 1, p: 1, q: 2, z: 2}. Give prob of picking 2 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/4464405 and 47\/2610.\nAnswer: 8928810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (14 - 24) + -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*n - 63*n - 342 + 54 = 0. Solve 2*d = -n*x + 13, -5*x - 139*d + 134*d = -20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 divided by 8?\nAnswer: 645\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6894\/15 + (-4)\/(-10))*(775 - 773). Is 3677\/4 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-48)\/9) + 35\/21. Solve -3*d + 2*q + 17 = 0, -3 = h*q + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 15*h + 25. Let t = 30 + -24. What are the prime factors of s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(130)*-1*6 + 5*(sqrt(130) + (sqrt(130) - -2*sqrt(130))))\/((3*(sqrt(110) + sqrt(110)*-2 - sqrt(110)))\/sqrt(11)).\nAnswer: 28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 42. Let m(x) = -4*x + 2 + 3 + 5*x - 3. Calculate the remainder when o is divided by m(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 414 - 15733\/38. Let x = -43\/190 - k. Let n = 0.1 + -0.1. What is the closest to n in x, -5\/2, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(300))*-1 + 2*(sqrt(108) + -1 + 3 + sqrt(27)).\nAnswer: 1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -208*v**3 - 5*v**2 - 15*v - 19. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -15*s**2 + 108*s + 3. Calculate the remainder when 1846 is divided by w(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 5, v: 13, j: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*y - 7*y. Let o be 4\/(y\/369)*2. Suppose -n + p = -42, p + p = 3*n - o. What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 94. What is the remainder when 100 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 7*c**4\/3 + 4*c**3 + 10*c. What is the second derivative of l(r) wrt r?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 - (-20 + 132 + -61)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069674465 to the nearest integer?\nAnswer: 32706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4924403 or 4924402?\nAnswer: 4924402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4570\/(-20565))\/(4\/9). Let f = -2 - -5.6. What is the third biggest value in 0.3, t, f, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**4 - 3*s**2 + 4*s. Let a(m) = 2*m + 6*m**4 - 4*m - 5*m + 4*m + 4*m**2. Let b(v) = 4*a(v) + 3*h(v). What is the third derivative of b(q) wrt q?\nAnswer: 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-4 + 2))\/((-7)\/112). Let i(k) = -5*k - 1. Let o(w) = 2*w. Calculate b*o(c) - 3*i(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = 3*k - 8*x, -4*k - 5*x - 17 = -342 for k.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(48)*-4 + -4 + sqrt(27) + (sqrt(3) - sqrt(12)\/sqrt(4))*-2)**2 - (2*(sqrt(3) + (-1 + sqrt(27))**2) + (sqrt(75) + 1 - (0 + sqrt(432)))).\nAnswer: 225*sqrt(3) + 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 + 343. Calculate the least common multiple of j and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 5*h - 10, -424353 = -2*r - h. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -5, 1 in increasing order.\nAnswer: -44, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 9*v + f + 5, 5*v + 3*f + 7 = 0. What is the nearest to -1\/4 in 2, v, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39\/(-3))\/((-2)\/6). Let n = 64 - r. Calculate the remainder when n is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7288122 - 1.7309. Round g to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*c**3 - 53*c**3 + 7*c**2 - 7*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 5:28 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26.7 times -30\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14762547.6553 take away -0.5?\nAnswer: 14762548.1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - r + 4. Let m be t(0). Solve 1 = -m*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 11241.\nAnswer: 269784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320299279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(162) - (1 + sqrt(162)))*-6)**2 - (sqrt(162)*-1 + -5)) - 4*((-2*sqrt(162))**2*-6 + sqrt(162) - sqrt(162))*6.\nAnswer: -9*sqrt(2) + 93271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245 - -258. Let q = -56.4 + 56. Put v, q, 1 in descending order.\nAnswer: v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 66*j**3 - 18*j**2. Let i(m) = -19*m**3 + 5*m**2. Determine -18*i(v) - 5*p(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12731, 23542, 32431, 39398, 44443, 47566, 48767?\n\"Answer: -961*z**2 + 13694*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861477*c**3 + 430773*c**3 + 430758*c**3.\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64952, -129901, -194852, -259805, -324760, -389717?\n\"Answer: -b**2 - 64946*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 487 and 261519.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.03 (b) 16716 (c) 2\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.426 - -1.426. What is the nearest to -0.1 in 1.3, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxxoosxkskkkkokok. Give prob of picking 2 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-4 - 1) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 227 - 287. Calculate the greatest common divisor of i and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4536) + sqrt(4536))\/(2*sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 6472733 + 5*l**4 - 24*l**2 - 2*l**3 - 6472734 in the form n*l + i*l**2 + t*l**4 + m + y*l**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -194097, -775583, -1744727, -3101529, -4845989, -6978107, -9497883?\n\"Answer: -193829*z**2 + z - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**3 + 33*f**2 - 35*f - 6. What is i(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let y(f) = -5*f. Let d be (5 + 1)*3\/6. Suppose -r + 3*a = -8 + 19, -d*r + 5*a - 33 = 0. Let n(t) = r*g(t) + 2*y(t). Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34624784 divided by 272.\nAnswer: -127297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82521123691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 + -4. Let l = n - -1. Let m be 2 - 8\/2 - -1. What is the closest to 0.1 in 3\/5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8953 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdydyydbhbphbph. What is prob of picking 3 b and 1 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24244092121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167800 = -138*b + 163660 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 787254*f**2 - 2*f - 1672515 wrt f.\nAnswer: 1574508*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569053.\nAnswer: 569053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*i = 46, -4*k + 136*i - 32 = 134*i for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -11.2, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + sqrt(1331)*1)**2 + -3 + -2.\nAnswer: 44*sqrt(11) + 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 - w + 2. Let r be n(2). Let u be -9 + 7 + (-18)\/r. Let q = 1.3 - 1. Which is the biggest value? (a) u (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 58184339\nAnswer: 58184350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/13 (b) 0.4 (c) 0 (d) -5 (e) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8953, 35791, 80521, 143143, 223657, 322063, 438361?\nAnswer: 572551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -3, 2, -52, 5, -4 in descending order.\nAnswer: 5, 2, -3, -4, -52, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114\/11, 14, -2, 2\/11, 6, 5 in decreasing order.\nAnswer: 14, 114\/11, 6, 5, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 12256 = 41392. Let j = u + 7813. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b**3*k**2 - 4*b**3 - 96*b*k - k**3 + k - 415 with respect to k.\nAnswer: -14*b**3*k - 96*b - 3*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y - 180 = -5*t, -3*t + 108 = 3*y. Let n be 4\/22 - t\/(-165). Factor -n*u**3 + 2\/5 - 2\/5*u**2 + 2\/5*u.\nAnswer: -2*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {r: 1, d: 1, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -121 - 6\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let u(c) = r - 2*c + 0 + c - 2. Suppose -3*s - 13*i = -9*i - 32, 3*i = 15. What is u(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 2*m = 0, -1573*l - 16 = -1579*l + 4*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681656.\nAnswer: 2, 3, 41, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 7*w + 4. Let y be h(-7). Suppose -b = -7*a + y*a + 5, 5*a = -3*b + 27. What is the third biggest value in b, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 0*l**2 - 2*l - l**3 - 2*l**2 + (0*l**2 - 3*l**2 + l**2)*(-45*l - 117*l - 181*l).\nAnswer: 685*l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131933\/16 - -8250. Calculate the common denominator of -11\/60 and z.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214682527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1488674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**3 + 812*k**3 - 145*k + 54*k - 2 - 163*k.\nAnswer: 832*k**3 - 254*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96910*u**3 + 2*u - 18683.\nAnswer: 581460*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -990034 + 990044. Solve -14*s**3 - 3\/2*s**4 - 42*s - n - 81\/2*s**2 = 0 for s.\nAnswer: -5, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-60*(-13)\/1638)\/(12\/9)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3461*p**3 + 169994*p**2 - 169994*p**2.\nAnswer: 3461*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 11*o**4\/3 - o**3\/6 - 332*o. Let x(d) = 12*d. What is y(x(a))?\nAnswer: 6336*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, -62, -3 in ascending order.\nAnswer: -62, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/130 + -131\/7930. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -131, -1557044, -5, 0.3?\nAnswer: -1557044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -412, -821, -1230, -1639, -2048, -2457?\n\"Answer: -409*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 - 94. Factor -4*s**4 + 29*s**2 + 1 - u*s**2 - 1 + 3*s - 2*s**3 + 29*s**2 - s**5.\nAnswer: -s*(s - 1)*(s + 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 21*s**3 - 2*s**2 - 2*s - 2. Let g(b) be the third derivative of -7*b**6\/40 + b**5\/20 + b**4\/8 + b**3\/2 + 6*b**2 - 235. Calculate -4*g(j) - 6*v(j).\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 85000 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 562 = -19*n. Calculate the remainder when n is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.3. Let i be (-9)\/(-21)*(-2)\/3. Let z = 20.4 - 16.4. What is the smallest value in m, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -39. Let s = -23 - t. Solve g + s*h + 1 = -2*g, -5*h = g - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 39. Let p = u + -22. Calculate the remainder when 67 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(5))*-2)**2 - sqrt(5)) + sqrt(5) + (sqrt(5) - (sqrt(10)\/(sqrt(4)\/sqrt(2)) + sqrt(5))))*-6.\nAnswer: -120 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 + 0.06. Let p = -352 - -339.6. Let t = p + 12.2. Which is the smallest value? (a) 4\/5 (b) t (c) q (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3530994 and 8148?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 1388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 + 0.2. Round f to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 276. Let u = g + 195. Calculate the highest common factor of 27 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/100 - (-8)\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*x = 0, -4*h - h - 2*x = -35. Suppose 5*j - 30 = -b, 4*j + 4*b = -b + 3. Suppose j = 6*t - h*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(3\/7)*c)\/(c\/(c\/((c*c*c**(5\/6)\/c)\/c))*c))**(1\/47))**(1\/17) assuming c is positive.\nAnswer: c**(-1\/1974)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/7 + 285\/21. Let y = -7 + v. What is the greatest common divisor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7437 + -7636. What is the third smallest value in -0.3, 9, w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5)*(-a + a + a) - 39*a + 783 - 783 - 2 + 2 + 2*a + (-1 - 2 + 1)*(-3*a + 4*a + 0*a) + a - 2 + 2 in the form b + s*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -4. Suppose -n - 21 = -2*x, -5*x + 2*n + 80 = 5*n. Let j = q + x. Calculate the smallest common multiple of 6 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -13\/3*h**3 + 0*h + 130*h**2 + 0 - 167\/24*h**4. What is the derivative of i(y) wrt y?\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 3. Calculate the least common multiple of k and (((-2)\/(-4))\/(1\/(-32)))\/(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 1. Let o be 2*(-1 - (780\/(-8))\/5). Let t = -36 + o. Calculate r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + 44\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = 0, 0 = -7*t + 5*t + 2*c + 8. Suppose -42*s + 4053 = -12957. Calculate the highest common factor of t and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -726503 (base 8) to base 6.\nAnswer: -5055323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12502 = 483*l - 4403 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(2) + 1)**2*-1.\nAnswer: -51 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 11. Let z be j(-8). Suppose -120 = -z*c - c. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 14. Let x = 31.8 - n. Let h = 1.80000019 - x. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 + 11*d - 7. Let c(g) = -4*g**2 + 10*g - 6. Determine -7*c(m) + 6*j(m).\nAnswer: 4*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-47)\/(-3))*(-1848)\/(-532)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-13)\/(234\/27))\/(27\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*p - 15*p - 18. Solve 3*o + 11 = -p*x, -5*x = -2*o - 3*x - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-12)*(-70)\/(-490)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, g: 5, z: 3, w: 1}. What is prob of sequence zgz?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/2 - 237067*v**2\/4 + 59267*v\/2 = 0. What is v?\nAnswer: -118534, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*c**2 + 0*c - 371*c**2 + 0*c - 778*c**2 to i*c + o*c**2 + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -202*q + 207*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 0.2. Let d = 256 + -255.236. Let f = d + 0.236. Which is the closest to f? (a) -0.3 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 3*n**2 + 11*n - 9. Determine y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 1\/8, 0, 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccrrvcvlkrkvvrrk. What is prob of sequence ck?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/12 + 279\/6. Let v = f + -38. Suppose v*p = 7*p + 12. Solve -p*d + 9 = 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.6, 5.287 in increasing order.\nAnswer: -0.6, 5.287, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84525*a**3 + 85*a**2 + 2*a + 225.\nAnswer: -507150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.256608 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*w - 16 = 0, -6*w + 1 = -3*d - w. Let h be ((-8)\/(-6))\/(86\/6 - 15). Which is the third smallest value? (a) 0.2 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 3}. Give prob of picking 1 u and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3 - c**2 + 1572*c + 2534 wrt c?\nAnswer: 6*c**2 - 2*c + 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4*v - 33*b**2*v**2 - b*v - v**2 - 127 wrt b?\nAnswer: -24*b**2*v - 66*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 1 - 19. Let l(a) = -3*a - a**3 - 6*a + 4 + a + z*a - 7*a**2. Is 13 a factor of l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532078 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -668 + 1195. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - a - 1. Let y be w(-1). Let m be (-32)\/(-17) + (-12)\/(-102). Let j = 6 + m. Solve j = y*q - 6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -7*h**3\/2 - 9*h**2\/2 + 21*h. What are the prime factors of d(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o\/(o\/(o\/((o\/(o*o\/(o**(-1)\/o)))\/o)))*((o**(2\/11)\/o)\/o)\/o*o\/o**(2\/7)*(o**3\/o*o**(1\/4))**(-15\/4) assuming o is positive.\nAnswer: o**(-9291\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-12) - (-162)\/24. Let q(h) = 3*h**2 - 3*h - 10. Does 27 divide q(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 10*b**2 + 11*b + 1. Suppose 3*v + 5*t - 16 = 0, -2*v - 5*t + 0*t + 4 = 0. What is the least common multiple of v and m(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, 1, -0.2, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -24*y + 1419. Let n be c(86). Is -645 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4055 - -4487. What is the highest common divisor of 132 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-20) - (-24)\/5. Solve -c*x = -4*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8483, -16966, -25459, -33968, -42499, -51058, -59651?\n\"Answer: -i**3 + i**2 - 8479*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 895207\/9502800 + -3\/79190. Find the common denominator of -47\/24 and t.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121.165 - -0.135. Let n = l - 121. Which is the second biggest value? (a) n (b) -2\/9 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7252 is divided by 7208?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*o - 6, 2*b + 2*b = -4*o + 36. Let p = -2655 + 2666. Let q = p + b. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**3\/2 + 7*q**2\/2 - 4*q + 89. Calculate y(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 266150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3578 divided by -3578.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 8. Let a be p(-2). Let l = 8 + -6. Let f = 8 - 5. Solve a = 4*n + z + f*z, 6 = l*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrquott. Give prob of picking 1 o and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 31*r + 12. Let c be i(18). Let h = -220 - c. Solve 2*s - 2*t - 22 = -h*s, -3*s - 3*t - 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303593, -303866, -304139, -304412, -304685?\nAnswer: -304958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-7)*u*u**1)\/(u*u**1\/u)**(7\/2))**(-4\/5))**(-3\/8) assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*i - 26506 = 119*i + 277*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1125105*v**4 - 41162*v**2 - 48*v - 2 wrt v.\nAnswer: 27002520*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1\/2*l**2 + 12*l - 2. Let y be z(0). Solve -8*a + y = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159368187.\nAnswer: 3, 11, 97, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3575 and 1650?\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-3*28\/63.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -161*p - 1. Give x(1).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -4, 4, -2\/57, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, 1\/5, -2\/57, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -40. Let r be 14*4\/(-40) + m. Determine d so that 0 + r*d**2 - 6\/5*d + 3\/5*d**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-86)\/4 - 11\/(-22). Round s to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 23*r + 551 = 0. Let d(i) = -12*i + 40 + r*i - 40. Let b(z) = 3 - 3 + 2*z. Give b(d(s)).\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 113*k - 5407. What is l(48)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 330451 + 0?\nAnswer: 330451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2436 + 11*k + 4866 - 2432)*(-2*k**2 + 5*k**2 - k**2) as w*k**3 + c*k**2 + t + g*k and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 2. Let k be y(7). Let d(v) = v**2 - 6*v - 715. Let m be d(-25). What is the greatest common divisor of k and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (424 + 14)\/((-6)\/4). Let v be (4 + -1 - m)*1880. What is v rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/318 and -91\/954.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12871*p**2 + 6469*p**2 + 6396*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 - 263*l + 98. Calculate q(37).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 62721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-783)\/8004*-46)\/((-2)\/24)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2 + 619*c - 5185.\nAnswer: (c + 85)*(8*c - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = s + 61688, -26*n - 5*s = -25*n - 30844. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206 divided by 2.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/2 - 4*m - 33\/2 = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/574*(10 + 66\/(-8))?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-5)*6*11\/(-99)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 594971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28724189 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let q(o) be the second derivative of 0 - o - 1\/3*o**3 + 0*o**2. What is q(h(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100, 141, 194, 265, 360?\n\"Answer: u**3 + 34*u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -151, -260, -403, -592?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 15) to base 13.\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*k - i, 2*k - i - 3*i + 2 = 0. Let h be ((-1)\/3)\/(k\/(-6)). Let a(u) = h*u + 5 - 6 + 1. Let n(p) = -2*p. What is n(a(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4*0)\/(-1). Suppose j = -g + 9 + 7. Calculate the greatest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, k: 1, n: 4, g: 1, r: 4, m: 1}. What is prob of sequence hmk?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 32.6. Is -0.4 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p. Let q(v) = v. Let l(s) = 7*s + 21. Suppose h = -1, 5*r - 3 + 41 = 2*h. Let w be l(r). Calculate w*q(x) - 5*t(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 40. Which is smaller: -0.08 or d?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.18011 and 4.\nAnswer: -1.18011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14030693.9 - -0.94\nAnswer: -14030692.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -326191677797268 + 383601383244428927\/1176. Let i = p + 25378534. Let b = i - -1\/392. Find the common denominator of b and 85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in centuries?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*z + 27*z + 484. What is the lowest common multiple of z and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001 (base 2) in base 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137251460?\nAnswer: 2, 5, 6862573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n - 53. Calculate the remainder when 2\/(-3) + 226\/6 is divided by a(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/310955 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 + 0)*(-u + 3*u + 0*u) + u + 2*u - 2*u + 3*u - 4*u - u + 15*u - 17*u + 29*u - 1)*(0*u**2 - u**2 + 0*u**2).\nAnswer: -30*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.47 + 0.33. Let n = 414 - 417. Which is the second smallest value? (a) 0.05 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 16*w**2 + 40*w + 32. Calculate the remainder when k(14) is divided by 491.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.0359 - 0.0359. What is the closest to i in 0, -1, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7799000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17035?\nAnswer: 5, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1414529606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4370*y + 768 = -2601 - 5371 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9549 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 14) + (-12 - -15 - (9 + 5)) - -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.036740458803 and 57.\nAnswer: 56.963259541197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -3044089, -1 in increasing order.\nAnswer: -3044089, -10, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818 = 66*m - 304 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*r**3 - 28*r + 4311.\nAnswer: -42*r**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.331 - 16.331. Sort 17, 5, 2, -2, i in descending order.\nAnswer: 17, 5, 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Suppose 4*s = -4*d + 8, i*s = s - 2*d + 16. Suppose -4*j + 49 = 5*t, s*j - 3*j + 4 = 2*t. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -2 (c) 5229 (d) 0.306\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4 - 5240*k**3 + 155334*k**2 + 171064*k - 321160 = 0. Calculate k.\nAnswer: -2, 1, 31, 2590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r**2 + 6 - 5\/3*r**3 + 4*r. What is the first derivative of o(s) wrt s?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose -27 = -x*c + c. Find the third derivative of 10*n**3 - 8*n**2 - 10*n**2 + c*n**2 wrt n.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 3*a**2 - 25*a - 17. Let u be w(7). Suppose -228 = -3*q + u*o - 22, 0 = 2*q - o - 129. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13.7, -29\/4, -6, -1\/2?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 - 24) - 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*v - a, 2*v - v = -5*a + 4. Solve 3*b - 19 = -v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 5*m**2 + m + 1. Suppose t - 440 = -3*t. Let s = -72 + t. What is the remainder when s is divided by c(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3*j**5\/35 - 3*j**4\/14 - j**3\/7 + 754. Suppose w(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n + 5. Let y(b) = -b - 1. Let v(g) = -w(g) - y(g). Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4 + 35*b**3 - 327*b**2 + 553*b - 260 = 0?\nAnswer: 1, 13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 39*b**2 + 4*b + 16. Give x(4).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5159318227?\nAnswer: 7, 911, 809051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*n - 32 = -82, -3*n = -5*f + 85. Let p be 4\/(-5)*f\/(-2). Let l = 24 - p. Calculate the lowest common multiple of l and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 768*j**2 + 3825*j + 201. Calculate d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (3\/14 - 110693\/(-4466)) + 37\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 8*d + 7. Let j be 55\/33 - (-2)\/6. Suppose -3*w = j + 16. Let f(g) = g**2 + 9*g + 8. Let r(u) = w*l(u) + 5*f(u). Give r(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 52 = 2*r. Is 8\/r - 2416*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -3*((sqrt(76) + 0 - sqrt(76)) + -4))*1)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 4961292*s + 124034175.\nAnswer: -3*(s - 25)*(s + 1653789)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -76c - 1?\nAnswer: -76d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, r: 7}. Give prob of sequence vvv.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -151, -352, -633?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*v = 6 + 7, 0 = 3*v - 15. Let k = o - 1. Which is the closest to 2? (a) k (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1170\/936)\/((-10)\/(-6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419 = -264*j + 1886 + 1173 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 1590876?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(200) + (-3*sqrt(200) + -4)**2).\nAnswer: 1000*sqrt(2) + 7264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 48390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/27)\/((30\/(-5))\/18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 5*f + 2 - 8, -5*m = 3*f + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 52\/(-22)) + (-11716)\/7777. What is the closest to t in 7, 8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -25. Solve 5*t = o - b, -t - 2*t = -5*o - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulwwuvlilviiullil. Give prob of sequence lllv.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -5.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(1 + -3 + -5). Let p = 7 + d. Suppose -3*g = -8*g + 25. Solve p + 5 = g*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/180 and 43\/5440.\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10172906619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 6 + (-2 - 1). Suppose 7*a - 6*a = z. Suppose 5*f - f - a = 0. Solve -4*y = -j - 24, -f*y - 3*j = -7*j - 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12132850403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1507*z**2 + 1507*z**2 - 57*z**3 - z.\nAnswer: -57*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 38*r**2 + 73*r + 152. What are the prime factors of v(38)?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45990 (base 14) in base 7?\nAnswer: 1303340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 10 - 4. Suppose 0 = -4*g + 6 + d. Suppose 0 = g*f - 108. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2104 - -2112. Solve -18 = -5*j - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563057?\nAnswer: 3, 23, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = m + 2*m, -2*r = 2*m + 10. Round m to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z - 2*z)*(7*z + 5*z + 16*z - z**2).\nAnswer: 3*z**3 - 84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/4, 2\/5, 6 in increasing order.\nAnswer: -0.4, -1\/4, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1493*g**3 - 6133*g + 18253*g - 1495*g**3 - 1 to the form c*g**2 + j*g + k*g**3 + b and give j.\nAnswer: 12120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426.4516 nanometers to micrometers.\nAnswer: 0.4264516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 1474997*x + 1474998.\nAnswer: -(x - 1474998)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 18. Let t be s(-16). Let q(a) = -10*a - 12. Let x(m) = 3*m + 4. What is t*q(p) + 7*x(p)?\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24444861 is divided by 8902.\nAnswer: 8871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/73, 1\/4, 45644?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 191, -4, 2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(40)\/sqrt(4) + sqrt(80)\/sqrt(2))*-1)\/(-5*((-4*-2*sqrt(500) + sqrt(500) - sqrt(500) - sqrt(500)) + sqrt(500))))**2.\nAnswer: 1\/80000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 61 - 30 = 0. Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(68\/850)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -318815\nAnswer: 17\/318815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1117*u + 8172. Give j(7).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15*(136425\/102)\/(-107)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 4720?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -47*y**2 + 8*y + 8. Let m(x) = 16*x**2 - 3*x - 3. Let j(r) = -8*m(r) - 3*q(r). Let c(f) = 38*f**2 + 39*f**2 + 38*f**2 - 117*f**2. Determine j(c(w)).\nAnswer: 52*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a decade in years?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c + 475. Let x(d) = 8*d - 2. What is k(q) + x(q)?\nAnswer: -q + 473","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 2*v**2 + 63*v + 2. Let l be y(-7). Let d(o) be the first derivative of -4 - 1\/5*o**l - 1\/15*o**3 + 0*o. Factor d(u).\nAnswer: -u*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261 times -4\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*s**3 + 52*s**3 - 239*s**3 - 18*s**3 - 6*s**2 to f + z*s + m*s**2 + v*s**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -17 - 28. Suppose 0 = q*i - 6604 + 1429. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42252066 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let x = 1 + t. Let i be (-1 - 4)\/((-5)\/6). Solve -18 = x*l - i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:05 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*j + 5*j + 8*j)*(1 - 5 - 6)*(-8 - 1 + 8) + (0 + 2 + 1)*(-3*j + j - j) + (-2 - 1 + 2)*(1 - 2*j - 1) + 3*j + 0*j - j to the form i + r*j and give r.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788419.\nAnswer: 3, 31, 29983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = 5*p + 9, -2*h - 8 = 4*p. Find the common denominator of 87\/10 and (-15)\/54*21\/h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/44 - (-118)\/8. Suppose -14 = 2*d - 4*h + 2, 5*d - 4*h + 10 = 0. Calculate the greatest common factor of m and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)*d**(-2\/7))\/(d**(-2\/7))**(5\/8))**(-30) assuming d is positive.\nAnswer: d**(2985\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(3\/233) + (-14)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36343.19 millilitres in litres?\nAnswer: 36.34319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089702 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:26 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 140462 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 629 + -372. Let m = c + -254. Solve w = -m*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 8, -68*q + 104 + 74 = 5*o - 4*o + 144 - 111 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 1. Let u = p + -6.5. Put u, 3, 4\/3 in decreasing order.\nAnswer: 3, 4\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(20)*1 - 5*(-2 + sqrt(5) + sqrt(5) - sqrt(5))*-4)*-5)**2.\nAnswer: -44000*sqrt(5) + 100500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3795 divided by 23.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -1.6. Let p = m + 4.2. Let f = p - 5. Are f and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j + 4. List the prime factors of 16 + 1 + 2\/j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38140 by -2.\nAnswer: -19070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - 5*h - 116. Is k(81) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7*1)\/(16\/32).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1796*i**2 - 3548*i**2 + 1835*i**2.\nAnswer: 83*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) -0.006 (b) -3 (c) -2\/3 (d) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132734233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/9)\/(12\/18)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 104*l - 12. List the prime factors of y(11).\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/3, -0.01, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28375 - -143079\/5. Which is smaller: z or 242?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 17 + 0)*((-h**3 + 0*h**2 + 0*h**2)*(-3*h + 0*h + h) + 3*h**4 - 147*h**4 + 4*h**4).\nAnswer: -1518*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 6. Let y = 0.166 + -5.166. Put 6, y, 1, o in decreasing order.\nAnswer: 6, 1, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 699*v + 72 - 62*v + 30.\nAnswer: 633*v + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + x - 1. Let m be z(0). Let i be (0 - m)*36\/28. Is 1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -423 - 1061. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6264 + 21621. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1829*0.05\nAnswer: 91.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 14*x - 11. Let l be j(-8). Let p be 6*((-39)\/9 + l). Solve -p*q = 2 - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + 3 - -1) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/3*c**2 + 32\/3 - 32\/3*c - c**3.\nAnswer: -(c + 4)**2*(3*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)*z\/(z**(-2)\/z)*z*(z**(-1\/3))**5)**(-50))**(-3\/34) assuming z is positive.\nAnswer: z**(280\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -37, -5, 3, 0, 5 in descending order.\nAnswer: 5, 3, 0, -1, -5, -11, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6121 is divided by 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**5\/80 - 3*h**4\/16 - 7*h**3\/8 - h**2\/2 + 28*h - 84. Let p(y) be the second derivative of a(y). Factor p(o).\nAnswer: 3*(o - 7)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 771433 and 16172?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/12 + 7\/4. Let k be -1 - (62\/(-22) + 2). Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -12. Sort 3, -0.6, k in decreasing order.\nAnswer: 3, -0.6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 450232 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3\/7 (c) 1\/2 (d) -0.1 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11058775 divided by 7.\nAnswer: -1579825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -55a7?\nAnswer: 55b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3553 and 836.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 = 641*t - 684*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 81 times 7403\nAnswer: 599643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 0*c**3 + 1 + 4*c**2 + 3*c - 7 - c**3. Calculate n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2750792, -2750785, -2750778, -2750771, -2750764, -2750757?\n\"Answer: 7*a - 2750799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -540\/13 - -5443\/65. Let f = u + -43. Which is the closest to -2\/7? (a) f (b) 1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from diiifcfiiid?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-55)*-28 + 4*(3 + -6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5797218.01 to the nearest one thousand.\nAnswer: -5797000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-308)\/(-126) - (-4)\/(-1) - -2\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91, 372, 849, 1528, 2415?\n\"Answer: x**3 + 92*x**2 - 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let t(y) = -1871 - 757 - 204*y - 201*y - 200*y + 606*y. Give t(b(h)).\nAnswer: h - 2628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1457043*m - 34. Let q(z) = z. Calculate q(j(w)).\nAnswer: -1457043*w - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-5*l**2 + 2*l**2 - 2*l**2)*(2*l + 4*l - 5*l + (-1 - l + 1)*(3 - 2 + 1) - 2 + 2 - l).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/5*(1 - 3\/2). Suppose w = -t + 5*t + 5*f - 937, 2*t - 471 = -3*f. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01821 and -0.164326.\nAnswer: 0.00299237646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*a + a = 0. Suppose a = 6*g + 218 - 674. Calculate the least common multiple of g and 5\/(-20) - (-75)\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*n = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -200 from -4.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 32*q - 24. Solve -20 = q*t - 9*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4)*2 - sqrt(3))*3.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccpccvfqp. What is prob of picking 2 p and 1 f?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 15070?\nAnswer: 15045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 2:40 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxa when three letters picked without replacement from {x: 1, d: 2, z: 1, f: 2, y: 1, a: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -354, -710, -1066, -1422, -1778, -2134?\n\"Answer: -356*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 5*s**2 - 166*s + 9. Give u(-11).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -143*r**5\/4 + 341*r**4\/6 + r**3\/6 - 1840*r. What is the third derivative of n(v) wrt v?\nAnswer: -4290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8192868 (base 10) in base 15?\nAnswer: -abc7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 693925.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7160, 7161, 7162?\n\"Answer: g + 7159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12595, 1, -2149.\nAnswer: -2149, 1, 3, 12595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43455 is divided by 282?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 681.11525\nAnswer: -15665.65075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 12. Let m = -26 - -30. What is the derivative of -3 + m*l**4 + l**4 + 2 - b*l**4 wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-136)\/32)\/(-17))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120111200112 + 120?\nAnswer: -120111122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 - 9*u - 11. Let w be g(8). Suppose 0*o - 2*o = -k - 45, -3*o = k - 60. Is (o + w)*(-1718)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(152)*2 - sqrt(152)*-1*6)\/(3*sqrt(128)*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(18\/40)*(-966)\/644?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w - w)*(-4 + 5 - 3)*(2 + 19 + 8)*(-2*w + 4*w - 4*w).\nAnswer: -348*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-7) + (30 - 1). Suppose 0 = k - 30 - u. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183*q**4 + q**3 - 239*q**2 wrt q.\nAnswer: 4392*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2*p**3\/33 - p**2\/11 + 24*p\/11 + 42. Find b such that h(b) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -10 - 1) + 0. Let w be t - 204\/(-33) - 40\/(-22). Suppose 3*c + 7 = w*c. Let x(v) = -3*v - 6. Calculate x(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6. Let n be 2\/(-8)*0\/(-2). Let o(u) = -u + 7. Let l be o(n). List the prime factors of x(l).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*g + 4*g. Suppose -319 + 109 = -g*k. Suppose 5*c = -5*o + k, 0 = -3*c - 4*o + 3*o + 55. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112122210112 (base 3) to base 7\nAnswer: 2311133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/80 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3470\/9 <= -385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuu when three letters picked without replacement from xxxuuxxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 5*x + 256*x**4 + 2 - 257*x**4 - 2 in the form m*x**3 + t*x**4 + p*x**2 + j*x + d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*d + 40, -401*d + 403*d = 3*t - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 249 = -389 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -26. Suppose 3*b + 0*b - 891 = g. Suppose 418 = 3*o + j, 3*o - o - b = 3*j. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/616 and 23\/532.\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - s - 60. Let t be a(0). Let f = t + 9. Find the common denominator of -33\/2 and f\/4 - 8\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*z + 455*z = -2609*z - 115557 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 6354*m**3 + 88368*m**2.\nAnswer: 3*m**2*(m - 2104)*(m - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43457757 is divided by 325.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3229 + -81. List the prime factors of s.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**3 - 1441*m**2 + 1424*m. Let b(k) = -3*k**3 + 720*k**2 - 711*k. Let t(q) = -11*b(q) - 6*c(q). Let t(v) = 0. What is v?\nAnswer: 0, 1, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 25 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {e: 1, i: 1, w: 1, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(-1*3\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3021 times -29\nAnswer: -87609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1*1 - -47. Let o = 130 - g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:18 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.4796024 to the nearest integer.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98015 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 1737?\nAnswer: 15633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596727.\nAnswer: 3, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 5*y + 7*y)*(-2 + 4 + 0) + 0*y - y - y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -16. Solve a = -2*h - 2*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/48)\/((-5)\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k - 1 + 4 + 0*k. Calculate s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.39 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 1 = -h, 5*h - 2 = 7*h + 5*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + 14 - (0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62680 at least 62685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 69825921?\nAnswer: 698259210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 2*u + 9. Let p be y(0). Suppose -p*b + 7*b + 4486 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -30. Is 6\/i*(-90)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m)**(1\/12) assuming m is positive.\nAnswer: m**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/12 - 7*d**3\/2 + 21*d**2\/2 - 221*d. What is q(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + -11 + 8 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 126, 147\/86, 3\/2, 0 in ascending order.\nAnswer: -1.2, 0, 3\/2, 147\/86, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 3*y**2 - 3*y + 2. Let w = 336 + -333. Let r be w*3\/9 - (-11 + 10). What is g(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -191 + 0*o - 7\/18*o**4 + 2\/9*o**2 + 10\/27*o**3. Factor z(d).\nAnswer: -2*d*(d - 1)*(7*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015382 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 762 + -750. Suppose -28 = i*a - 19*a. Solve 4*z - a = 0, -6*s = -3*s + 5*z - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 27*o - 87. Let h be d(-3). Let v be (-20)\/h - (11\/6)\/(-11). Which is the second smallest value? (a) v (b) -0.1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2121\/(-42))\/101)\/(1\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1843, -5585, -11797, -20479, -31631?\nAnswer: -45253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (6 + -3)) + (-3 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3 + 2. Let i be (k + -5)*2\/(-3). Suppose -i*w + 3 = -w. Is 1\/6 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvye. Give prob of sequence el.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 22 = -3*l, -6*l = -7*l + w - 10. Let q(j) = -j**2 - 36*j - 68. Calculate the remainder when q(l) is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5319.017 decades to years.\nAnswer: 53190.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(85 - 86)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017 - -0.0263.\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 + 7. Let v = 674 - 411. Let i = v - 1319\/5. Which is the smallest value? (a) i (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (-5*sqrt(85)*-1 - sqrt(85)) - sqrt(85) - sqrt(85))*5)\/(sqrt(180)\/sqrt(4)*-1))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110997417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -331.8 * -13.\nAnswer: 4313.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/586987 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18*d - 22876 = -16*d, 2*g - 11438 = 2*d. List the prime factors of g.\nAnswer: 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/((-27)\/(-120))*(-83)\/(-664). Put -0.1, t, 10.7, -2\/17 in decreasing order.\nAnswer: 10.7, t, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5318562 or 5318564?\nAnswer: 5318562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179895243 to the nearest integer?\nAnswer: 13413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 1. Let i be (-3)\/(3\/2*-1). Let k(q) = 4 + 0*q + 4*q - i*q. Give -k(x) + 4*t(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-26)*k)**6 assuming k is positive.\nAnswer: k**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t - 1. Let r(i) = 2*i + 6. Let c be r(-4). Let l be z(c). Let j(a) be the second derivative of 7*a**5\/20 + a**3\/6 - 6*a. Determine j(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-3337.\nAnswer: 1668.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1421*p - 361. Let u(b) = -517*b - 120. Let s(x) = -4*j(x) + 11*u(x). Let z(o) = -13*o**2. Calculate s(z(t)).\nAnswer: 39*t**2 + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 439, -0.2, -0.3, 19.2, -4 in increasing order.\nAnswer: -4, -0.3, -0.2, 19.2, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - p + 29. Let m be w(0). Suppose -5*y - m - 41 = -2*f, 5*f = y + 129. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 13. Let g be (-10)\/4*(16\/10)\/(-2). Factor 3*y**2 - 11 + 9 - 5*y**2 + 9*y**3 - 3*y**g - s*y + 7*y**4.\nAnswer: (y - 1)*(y + 1)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from aydkhahhhhakrhaaahhh.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + u**2 - 10 + 2 + 5. Determine p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 7*n**2 - 6*n - 7. Calculate c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/34 and -49\/87934863.\nAnswer: 175869726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 + 0*h**2 - 4*h**2)*(-15*h**3 + 2*h + 0*h**3 - 19*h**3).\nAnswer: -68*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.169 + 0.169. Let r = 12 + -18. Sort r, d, 0.1.\nAnswer: r, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in -0.2, -0.5, 0.3, 1.58, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffifficcici. Give prob of picking 1 f and 1 i.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -6*b + 516. Suppose -f = 4*w - 57, -5*f = 4*w - b - 89. What is the remainder when 222 is divided by f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 2, c: 6, k: 2, d: 1}. Give prob of picking 1 i and 1 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -261*y - 7. Let x(z) = 1049*z + 30. Give -9*b(d) - 2*x(d).\nAnswer: 251*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 7*p + 3 = 0. Find the common denominator of (3 + p\/60)*-2 and (-39)\/(-4)*6\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let y be 4 - (4 - 0\/o). Solve -2*h + 4*z + 22 = y, 3*z - 13 = -3*h + 5*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d - 2*l - 74, 2*d + 5*l - 47 = 0. Suppose -4*v - 19 = -z, v - 4 = 5*v. Is z less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 6*y. Let s(d) = 7*d + 8. Let h be s(y). Calculate the greatest common factor of h and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11351 is divided by 3779.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839679902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-3)))\/(g\/(g\/(g**(-2\/13)*g))))\/(g*g\/(g\/g**(-2\/3))*g**1)*(g*g\/(g**1\/g)*g*g\/g**(-1\/3))**(-9\/2) assuming g is positive.\nAnswer: g**(-1457\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a year in months?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4655999 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o. Let y(j) be the second derivative of j**3\/6 + 12*j. Let c(a) = -3*a. Let d(p) = c(p) + 4*y(p). Calculate d(k(m)).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55230 and 8722395.\nAnswer: 122113530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u + 2. Let k be b(5). What is the smallest common multiple of -3 - k\/(1 + 1) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -388 + 388.2. Sort 25, -2\/7, 1\/8, c in increasing order.\nAnswer: -2\/7, 1\/8, c, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by 86\nAnswer: -35\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2341\/42 + -382\/7. Put -2\/13, b, 5 in increasing order.\nAnswer: -2\/13, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eez when three letters picked without replacement from {e: 2, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 4*r**3 + 4*r**3 - 17*r - 16*r**3 - 17*r**3.\nAnswer: -35*r**3 - 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 + 7)*(2*j**3 - 6*j**3 + j**3).\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -156*m**6\/5 - 1927*m**3\/3 + 14*m**2 - 5*m. Find the first derivative of w(a) wrt a.\nAnswer: -11232*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f + 1. Suppose 4*p = 4*s + 4, 1191*p + 31 = 1195*p + 5*s. Let m(b) = -8*b + 1. Calculate p*m(l) - 3*i(l).\nAnswer: -11*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*r = -78*r + 6, -s = r - 20. Let n(h) be the first derivative of 20\/3*h**3 + 0*h + 0*h**2 + s. Let q(o) = 2*o. Calculate n(q(f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66563, 140810, 215057, 289304, 363551?\n\"Answer: 74247*r - 7684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1957*l - 2478 = 1780*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 824 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from ixclhiliuxixuc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1443+11803753\nAnswer: 11805196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69287\/16874 + 6\/649. Calculate the common denominator of 67\/14 and k.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*b**3 - 21*b**3 - 22*b**3)*(-4*b - 5*b + 3*b) to n*b + p*b**4 + i + q*b**3 + o*b**2 and give p.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50 - -51)\/(132\/68 - 2). Sort -4, 0, m, -5 in ascending order.\nAnswer: m, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23 + 544\/24)*(3 + -3). Sort 3\/22, f, 0.2, -3\/5 in increasing order.\nAnswer: -3\/5, f, 3\/22, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7472 to two decimal places.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 + 112. Let n(w) be the second derivative of -1\/165*w**6 + 0*w**3 + 0*w**2 + 0*w**b + 0 + 5*w + 1\/110*w**5. What is j in n(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 102. Let v be n(-22). Which is the nearest to 0.1? (a) -2\/7 (b) 2\/15 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, u: 1, v: 4}. Give prob of picking 1 u and 2 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 1, 16, 35?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i**2 - 21*i + 3598. Does 14 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -124 + 214 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2654*x**2 + 7*x + 3. Let v(z) = -7*z. Let g be v(1). Let o be j(g). Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81321985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 347*q - 2319*q**2 - 1032*q + 684*q to the form r*q**2 + z*q + a and give r.\nAnswer: -2319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r + 13. Let u be -5*((-3)\/1 + 2). Let z = u + r. Put z, -5, -3 in increasing order.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 less than -854?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/2 - (-26)\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 11 - 13. Calculate the common denominator of 1\/2*t\/4 and 31\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/3 of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 244 - 116. Calculate the greatest common divisor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*s - 15 - 15*s + 17.\nAnswer: 228*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 13. Let s be c(9). Suppose 0*a - s*a = -3*h + 1530020, 4*h - 2039975 = -5*a. What is h rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131232 - -110130013?\nAnswer: 110321311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4*r + 4. Let t be g(4). Let y(a) = -a**3 + 4*a**2 + 5*a - 6. Let z be y(5). Let s be 3\/z*-2*-4. Put -1, s, t in decreasing order.\nAnswer: t, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -12. Put d, -4, 0.21, 1\/8 in ascending order.\nAnswer: -4, d, 1\/8, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4*1040307\/(-152))\/(6\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -y - 6825, 5*y = -628*l + 625*l + 6843. List the prime factors of l.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i + 15*i + 10. Let g(j) be the third derivative of 3*j**2 + 0*j**3 + 0*j + 0 + 0*j**4 + 1\/12*j**i. Let l(h) = 2*h. Calculate l(g(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4244, 6126, 8008, 9890, 11772, 13654?\nAnswer: 15536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/36 - -6)*((-63)\/(-30))\/7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.1, 91, 1, -0.30783, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*a + 2 = 12, 5*a + 25 = -5*f. What is the smallest common multiple of (-325)\/(-35) - f\/((-35)\/2) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w + i, i - 4 + 3 = 0. Suppose -h - 5*n = -n - 3025, -h + w*n = -3049. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000 + -10111010?\nAnswer: -101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:53 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(315)\/(sqrt(20)\/sqrt(4)))\/(-4*sqrt(9)*-2*1)*3 + -5.\nAnswer: -5 - 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-120))\/(20\/(-25))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 90582.09km?\nAnswer: 90582090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 34*h**2 + 63*h - 10. What is the remainder when c(-24) is divided by 163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432252 (base 11) to base 16.\nAnswer: a8b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.41*2.07\nAnswer: -2.9187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + z + 0)*(-2 - 2 + 1)*(0 + 1 + 2)*(-3 + 0 + 1).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -211529616 divided by 248?\nAnswer: -852942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 - 2*x**3 + 2*x**3 + (2*x - 1 + 1)*(2486*x**3 - 1145*x**3 - 750*x**3).\nAnswer: 1181*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -318*u**5 - 2*u**4 + 3*u**2 + 64 wrt u?\nAnswer: -19080*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 34 - -65) + (1101\/(-183) - 0)?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 131543, 120655, 109767?\n\"Answer: -10888*x + 142431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1037*r - 263395. What is b(-254)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b**3 + 66*b + b**3 - 14*b**3 to m*b**2 + t + s*b + d*b**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -11*u**7\/42 - 2*u**3\/3 - 20*u. Find the second derivative of f(y) wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - (2 - 3 - 1). Let m = x - -10. Suppose -3*l**4 + 47*l**3 - 56*l**3 + 6*l + 3*l**5 - l**m + 4*l**2 = 0. Calculate l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -93\/2, 4, 2, 12, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -23) + 27 + -3 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 20*j + 45. Calculate w(22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4034819 to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25736)\/(-24) + (8\/3 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/159, -4, -3, -0.2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 28*l + 355. Calculate i(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38366402.\nAnswer: 2, 59, 347, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85) + sqrt(85))*4)\/sqrt(5) + 0 + (sqrt(17) - (1 + sqrt(2057) + sqrt(2057))).\nAnswer: -9*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/2908551 - -2779511\/375319421040. Let c = -96341267\/387120 + t. Let q = 249 + c. Is q < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1659 and 357791?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 5) to base 8.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -319 less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 13*i**2 - 8*i - 33. Let g be j(-13). What is the third derivative of 7*s**2 + g*s**4 - 48*s**4 - 20*s**2 wrt s?\nAnswer: 552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/180 - f**3\/3 + 4*f**2. Let i(m) be the first derivative of y(m). Let a(n) = 5*n**2. Determine a(i(s)).\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 7*q**3 + 4*q**2 + 1465*q + 10784*q + 1220*q.\nAnswer: -6*q**3 + 4*q**2 + 13469*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**9\/36 - 7*d**5\/30 + 7*d**2\/2 + 15*d. Let m(b) be the first derivative of y(b). Find the third derivative of m(r) wrt r.\nAnswer: 1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53863650 + -348704?\nAnswer: 53514946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8143 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2079628*i**2*x**4 - 10069*i**2*x - 7*i**2 - 10*x**4 - x - 15 wrt x?\nAnswer: 24955536*i**2*x**2 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 4, o: 4, b: 2, m: 3}. Give prob of sequence vb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 688320 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -9. Which is the nearest to n? (a) 1\/3 (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4.9, 0.3 in ascending order.\nAnswer: -5, 0.3, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 187, -223, -1101, -2681, -5197, -8883, -13973, -20701?\n\"Answer: -39*x**3 - 137*x + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-6\/5)\/(z\/(z*(z**(-1\/2)\/z)\/z))**(-2\/79)*((z\/(z\/(z**(-5)\/z*z*z)))\/z*z**(-2)\/z)**(-8\/11) assuming z is positive.\nAnswer: z**(5111\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, -4, -3\/8, -2\/17, 2\/15, 5, 15\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(88*v - 67 + 67)*(3*v**2 - 4*v**2 - v**2) in the form h*v**3 + g*v + w + f*v**2 and give h.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 3413008\/(-12)*(-7 - (-88)\/16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - 4*3*sqrt(2736))**2*5.\nAnswer: 1655280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6794, 27598, 62266, 110792, 173170, 249394?\nAnswer: 339458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42602 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (7 + (4 - 9) - 7)) + 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(4\/7)\/i)\/i)**(-14) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/31590 and -69\/40040.\nAnswer: 9729720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -67*j. Let g(u) = 68*u. What is 4*g(t) + 5*y(t)?\nAnswer: -63*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -319*p**2 - 327.\nAnswer: -638*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n + n)*(21*n - 11 + 11)*(132*n**2 - 3178*n + 3178*n).\nAnswer: 5544*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014161 rounded to 4 dps?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*d**6 - d**4*t - 14*d**2*t - 4*t wrt d?\nAnswer: -4080*d**3 - 24*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 13 + 25 - 233*k - 103*k as t + c*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -l + 9, 62*x + 2*l = 59*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 15*p**2 - 5*p**2 - 302 + 302.\nAnswer: -20*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c64449 (base 13) in base 2?\nAnswer: 1001000111011001100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -1c74?\nAnswer: 1c71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -7 (c) 173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, and 1 n when three letters picked without replacement from chczznecezerczhhc?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4473 + 4474. Let p = -13 - -9. Sort d, -0.3, p, -17.\nAnswer: -17, p, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21600535 + 0?\nAnswer: -21600535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Suppose -2*o + 7 = 3. Calculate a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119382 and 265359.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100111001001011 - -1001110?\nAnswer: 111100111010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**2 - 2*x + 1. Let o(k) = -4*k + 6*k**2 - k**2 - 9*k + 0*k + 12*k. Give -7*o(s) + 2*p(s).\nAnswer: -5*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*b - 2962368 = 20*b. List the prime factors of b.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 + p**4\/3 - p**3 - p**2 - p + 1. Let t be y(-5). Solve 2*a - 25 = -t*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 5:15 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -21*k + 166. Suppose -y - 3*z = -1628, -7*z - 8176 = -k*y - 10*z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 176 = -k, 3*k + s - 528 = -2*s. Suppose 5*p - x - 238 = 0, 3*x = -4*p - x + k. Let a = -36 + p. Calculate the lowest common multiple of a and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.208? (a) -6\/5 (b) -4\/7 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 4*p**2 - 3*p - 5. Let c be f(-4). 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: Is 82\/1573 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -122035930\nAnswer: -1\/24407186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 22779*j + 62.\nAnswer: -22779*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, 15, 87, 193, 339, 531, 775?\n\"Answer: o**3 + 8*o**2 + 13*o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 - 10*v. Let k(l) = -l**2 - l. Let q = -42 + 41. What is q*f(u) + 10*k(u)?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10625*h**5 + h**3 + 2*h**2 - 4516 wrt h.\nAnswer: -637500*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1253, -397, 1019, 3001, 5555, 8687, 12403, 16709?\n\"Answer: r**3 + 274*r**2 + 27*r - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26897 (base 15) in base 9?\nAnswer: 207287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -158727 greater than 2415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (14 - 9\/(-3)). What is the remainder when 7 is divided by (-94)\/w + 10\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3070, 3072, 3074, 3076, 3078?\nAnswer: 3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -57\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 15.941. Let o = 0.023 - s. What is o rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151555155823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -16*q**2 + q**3 - 14*q + 29*q**2 - 5 + 0*q. Is a(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -7*w**3\/4 - 33*w**2\/2 - 18*w + 16 = 0?\nAnswer: -8, -2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18256, -73039, -164308, -292033, -456184?\n\"Answer: 5*f**3 - 18273*f**2 + f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - d + 6. Let u(i) = i**2 + 1. Calculate n(y) - 6*u(y).\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5006?\nAnswer: 1\/5006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-97465)\/(-25) + -1 - (-34)\/85.\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2241100 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12899784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (27*(-31)\/(-81468))\/((-6)\/8*1)\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = -9*x + 8*x, 0 = -5*p - 4*x + 15. Suppose 7 = z - p. Suppose f + 2*m - 2 = 0, 3*f + 3*m = m + z. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 800620864*z**3 - 787731110.\nAnswer: 2401862592*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574*s = -556*s. Let w(d) = d - 1. Let p(l) = -2*l + 1. Let f(t) = p(t) + w(t). Calculate f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.35\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 836 - 3?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2004.97504 - -2005. Round b to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1496, 1542, 1668, 1916, 2328, 2946?\n\"Answer: 7*k**3 - 2*k**2 + 3*k + 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30444249 or -30444248?\nAnswer: -30444249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2665 - 2663. What is the highest common factor of x and 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.08 - 0.08. Let v = g - 5. What is the closest to v in -4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/20)\/((-3)\/10). Let f(m) be the second derivative of 2\/15*m**6 + 2\/5*m**o + 0*m**2 + 5\/12*m**4 - 3*m + 0 + 1\/6*m**3. Factor f(w).\nAnswer: w*(w + 1)*(2*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 432*y**2 - 18*y - 25. Let w(k) = -216*k**2 + 9*k + 13. Let t(x) = 3*h(x) + 5*w(x). Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/36 - -3*(-5140)\/(-135).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -245 - 305. Calculate the remainder when b is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + -0.27. Is 0.2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b9b - d?\nAnswer: b8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:52 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 8*q - 1. Let y be x(-6). Let b(r) = 11*r**2 - y + 11 - r. What are the prime factors of b(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g + o = 40, -3*o - 153 = -4*g. What is the greatest common divisor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*g**2*i**3 - 2*g**2 + 3*i**3 - 10 with respect to g.\nAnswer: 42*g*i**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (2*sqrt(80) - sqrt(80))*1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 3425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*((-9 - (-162)\/24) + 2). What is the nearest to 4 in -1\/2, -4, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2. Let c(p) = -34*p. Let l(j) = -17*j. Let m(r) = 3*c(r) - 5*l(r). What is o(m(q))?\nAnswer: -578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2. Let o(l) = 44*l - 52. What is t(o(p))?\nAnswer: 5808*p**2 - 13728*p + 8112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -22, -1, 42 in decreasing order.\nAnswer: 42, 6, 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174557467 and 7693.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l. Suppose 4*s - 20 = -0*w - 4*w, -4*s = w - 8. Let z(q) = -2*q + 1 - 3 - w*q**2 + 2. What is -f(x) - z(x)?\nAnswer: 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 690 = 1860 - 645 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 13*v**2 - 10*v - 4. Let s be f(12). Suppose -8*d = -3*d + s. Put -3, d, 0 in ascending order.\nAnswer: d, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 2*b**2 + 2*b**2)*(5*b - 4*b + 3*b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 26445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300800?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46016227 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 1. Suppose 3*h - 2*y - 2*y = -9, -8 = -h + 5*y. Let s be z(h). Solve s = 4*u + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 6*j + 4*d - 32, -d = 2*j + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381752 - -0.6.\nAnswer: 381752.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, b: 1, w: 1, t: 2, u: 1, o: 4}. What is prob of picking 2 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-50)*(-9 - 41)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24891 - 24891 + 15*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = 554 - 659. What is the remainder when 391 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203588022*i**6 - 141*i**2 + 361*i + 40?\nAnswer: 24430562640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6093, -6052, -6011, -5970, -5929?\n\"Answer: 41*o - 6134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 17389, -61, -11 in decreasing order.\nAnswer: 17389, 4, -2, -11, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 6*y + 5. Let i be s(6). Let t be (-28872)\/770 - 2\/(-77)*7. Let o = t + 188\/5. Sort -5, o, 4, i in descending order.\nAnswer: i, 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8 - 486\/(-24). Suppose -3*o - w + 10 = -m, -4*o + 42 = 2*w. Let c be (0\/(-6 - (-2 - 2)))\/2. Solve 2*t = -c*t - o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Let y = 6 + 3. Let r = y - 10. Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1 (c) -1254689\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2\/6 - 3\/9). Is (((-3603)\/(-5))\/((-8)\/(-40)))\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -428529.9.\nAnswer: -85705.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -7. Suppose 2*u + 0*u + 7 = 5*w, 5*u + w = -4. Let z = -292\/5 + 58. What is the closest to u in g, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59983?\nAnswer: 7, 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*j - 48*j = 61*j - 6882140. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7279360234 to the nearest 1000000.\nAnswer: 7279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-5)\/(-35)) - (-20 + 7). Solve 20*b = 23*b + a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 50408.76 hours?\nAnswer: 2100.365","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1119 + -1.3591. Let n = -0.129 + t. Let v = n + 11.8. Which is the nearest to v? (a) 4 (b) -3\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 33. Let s(n) = 579*n - 306*n - 287*n. What is s(r(j))?\nAnswer: -28*j - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 4*n**2 + n + 5. Let k be h(-4). Put -4, k, 3, -3 in decreasing order.\nAnswer: 3, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73632557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -2 (b) -0.3 (c) -63 (d) 1\/707 (e) 4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = c + 2*c. Suppose n - 1 - c = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**3 + 3. Let f be 1*3 - (9 + -9). Let t(p) = 4*p - 2. Let j(u) = -5*u + 3. Let r(x) = f*t(x) + 2*j(x). Calculate r(o(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 320?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.046 and 0.0371.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-28)*(-1827)\/870.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 35 = j - 4*g, 0 = 5*j - 2*g - 103. Let k(y) = 3*y**2 - 4*y + 1. What is the remainder when k(5) is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, w: 4, v: 5}. Give prob of sequence vrvv.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 506 - 548.6. Let r = a - -43. Let y = 1 - 5. What is the biggest value in y, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42003648*l - 47158592 wrt l?\nAnswer: 42003648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*o, 4*m = -m - 4*o + 40. Suppose -15 = -m*t - t. Put t, 2, 4 in descending order.\nAnswer: 4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00355139 rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 87. Let m be (-8)\/g + (-276)\/(-27). What is the remainder when 2\/m + (-1070)\/(-25) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 941 + -940. Which is the nearest to p? (a) 2\/23 (b) -0.3 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 189 - 56 + 37*z + 155.\nAnswer: 37*z + 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14092116 and 2664?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2010*b + 338 - 338 = -7120*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 2*s. Suppose -10 = 2*o - 40. What is the highest common divisor of o and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78204 and 5488?\nAnswer: 312816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82\/3 - -27. Which is the nearest to q? (a) -1\/5 (b) 2\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3498 divided by -2\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-2)\/(-4) + -2). Let h(b) = -b. Let y(m) = -6*m + 11. Let s(f) = d*h(f) - y(f). Let o be s(23). What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195\/6*(-1258)\/(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*l + 2755 - 865 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*w**5 - 71*w**2 - 123*w**2 - 227*w**2 + 190*w**5 wrt w?\nAnswer: 16620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*m + 4 = -t, 3*t - 2*m = 1. Calculate the remainder when 30 is divided by (3\/3*11)\/t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 539 - 536. What is the nearest to x in 3\/8, 7, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 at most as big as 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -61.3, -0.3, 0.2?\nAnswer: -61.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -399023.\nAnswer: -2\/399023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (31 - 2)\/((-392)\/(-4)). Let l = a - -1\/245. Calculate the common denominator of -121\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.5 rounded to the nearest integer?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75138983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 3*y + 191 = -9*v, -3*y = -5*v + 509. Suppose 0 = v*k - 95*k + 20. Sort 2, k, 0, 4 in decreasing order.\nAnswer: 4, 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 3*o + 4. Let n be v(-1). What is the closest to -3 in 5, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 268307.1458 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 435.115\nAnswer: 304.5805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000001236 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 - 5*i - 4. Let u = 4 - -3. Let h = u + -10. What is y(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Solve -4*r - 3*b + 7 - 18 = 0, 2*r + u*b + 9 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Suppose -b = -3, 11 - 2 = -r + 2*b. Let n be (3\/r - 0)*0. Let d(f) = 2*f**2 + 0*f**2 + n*f**2. What is m(d(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a5 - 1645?\nAnswer: -183a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2. Let x be 0 - (-1 - 0) - -3. Let o(n) = 79*n - 2*n**2 - 79*n. Calculate x*w(v) + 7*o(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 6. Solve t + 2*t**2 - z + t**2 - t**3 - t**2 = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104834365*m**3 + 27*m**2 + m - 8455316.\nAnswer: 629006190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/3 + 6*w**2 - 13*w. Let s be q(5). Let d = -9 - -10. Is s at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 - 133. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 5*o - 3*o + (2 - 3 - 1)*(o + 4 - 4) + 0*o + 4*o - o)*(3*o**3 - 2*o**3 + o**3)*(-188 - 47 + 22).\nAnswer: -852*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13022410 (base 5) to base 10\nAnswer: -126605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -691*z + 343*z + 343*z. Let w(j) = -j + 3. Give t(w(a)).\nAnswer: 5*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39800, -39799, -39798, -39797, -39796?\nAnswer: -39795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 788573683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2393183 is divided by 32340.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-588369\nAnswer: -58836.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7243 + 514?\nAnswer: -6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3082644 and 5651514.\nAnswer: 33909084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -251 - -382. Suppose t = -3*t - 236. Let z = h + t. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a factor of 40528180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 6, 2, 0.3, -4\/5 in increasing order.\nAnswer: -4\/5, -0.3, 0.3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + (2*sqrt(5)*6)**2 + 3.\nAnswer: 2*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 4*z + 1. Determine l(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 732 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -173\/4. Let x = 10 + -13. Put b, -4, x in increasing order.\nAnswer: -4, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 0)*-1 - -13. Let g = f - 11. Suppose -9 = 3*l, 0*l - g = w + 4*l. Calculate the greatest common divisor of 16 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 85 = 5*k + 24, 3*k - d - 31 = 0. Let w(u) = -7*u - 121. Let f be w(-18). Suppose -4*h + 2*h = -3*p - 37, p = -f. Solve h = 5*q - k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -396050000 to the nearest 1000000.\nAnswer: -396000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1292 + 1348. Calculate the greatest common divisor of j and 5768.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5915\/18 - 326. Find the common denominator of i and -11\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 + 5*b + 6. Let r be p(5). Let x = -1 + 6. List the prime factors of ((-12)\/x)\/(r\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46.89 + -47. Let d = 0.39 - s. What is the second smallest value in d, 0, -1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1767\/10 + 707\/4. Let i(f) be the first derivative of 0*f - v*f**2 - 1\/30*f**3 + 18. Suppose i(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6126, -12254, -18382, -24510, -30638, -36766?\nAnswer: -42894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + k = 32, o + 6 = 4*k - 3. Let s(a) = 6*a**2 + a + 22. List the prime factors of s(o).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116426 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + 3*r - 5*r)*(-48*r**2 + 89*r**2 - 157*r**2) in the form d + o*r**3 + v*r + w*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 17*f + 10. Let g be t(-10). What is the highest common factor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-735)\/420*23\/((-1127)\/420)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13b + 66?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 15*f**2 - 4*f + 27. Calculate d(15).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 8) to base 2\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:44 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 30 = -4*j, 10*w - 24 = 6*w + 2*j. Solve -w = 5*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*w + 30, 20*t - 16*t = -w + 60 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-330))\/(1 - 13\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 11 - 44 = 3*d, 5*d = 5*l - 45 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59326.4 millennia to decades.\nAnswer: 5932640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5\/4 + 3018445*v**4\/4 + 113880458720*v**3 - 2163916617375*v**2 + 12756072334320*v - 21867800955840 = 0. Calculate v.\nAnswer: -301854, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361896.\nAnswer: 2, 37, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 245*y + 3. Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -813097181.\nAnswer: -813097181.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1743250188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/45 (b) -2 (c) -29 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 3*x + 2. Let g(a) = -9*a**2 - 4*a - 7. Let n(f) = 7*f**2 + 4*f + 6. Let p(q) = 3*g(q) + 4*n(q). Give -3*p(j) + 4*s(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676090?\nAnswer: 2, 5, 13, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 16. Let n be ((-2)\/(-4))\/((-70)\/(-700)). Suppose x*i - 5 = -2*h + n, i = h - 5. Which is the closest to 3? (a) 4 (b) 1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 = 12*l - 17*l. Suppose 2*g + 0*g - 64 = 0. What is the remainder when l is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/9 + 256*r**4\/9 - 7606*r**3\/9 - 41248*r**2\/9 + 63800*r\/3 + 96800 = 0?\nAnswer: -5, -4, 5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15067990.19 plus -827?\nAnswer: 15067163.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 16. Does 24 divide -12*(1 + (-15)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, x: 2, t: 2}. What is prob of picking 1 t, 1 c, and 1 x?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.6291 decades to centuries.\nAnswer: 9.56291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 + i + 278. Let f be y(0). Let z be (f\/84)\/((-6)\/9). Let a = -21\/4 - z. Sort 0.2, a, 0.5 in descending order.\nAnswer: 0.5, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 26*q + 43*q + 88*q - 1.\nAnswer: 157*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 59*x - 39. What is r(-39)?\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:06 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - m + 1 = -5*v + 9, -3*m = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-4)\/16 + (-90)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1023*q**2 - 6*q - 2. Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-35)\/(-210))\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.866 - -54. Let k = -5.966 - s. Let v = 0.1 + k. Which is bigger: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 + 6*v + 1. Let j be u(-5). Which is the nearest to -0.1? (a) -5 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(6\/(-9) - -1). Let x be 10\/g*3\/(3\/2). What is the highest common factor of 160 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 3*r + 4*r)*(1894*r + 6 - 25 - 1895*r)*(-11 + 9*r**2 + 91*r - 8*r**2 - 92*r) to c*r**3 + a*r + s*r**2 + i*r**4 + b and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45575*f**4 + 1037*f**2 + 4*f wrt f?\nAnswer: -1093800*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + (3 - (-1 - -1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 11929055 = 11929060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*q - 846 = 174*q - 296 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43 times 2?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = z - 13, -4*z + 41 = 5*t + 11. Calculate the highest common factor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43\/14 + 4\/7. Let j = -582\/7 + 83. Let h(q) = -q**2 + q + 4. Let o be h(0). Which is the smallest value? (a) j (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*r + 9*r + 77*r + 812 = 24*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26150 - 528*u + 26150 to the form y + d*u and give d.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -29*c**3 + 2*c + 2. Let p(i) = -26*i**3 + 15*i**2 + 3*i. Let h(t) = t**3 + 5*t**2 - 1. Let g(w) = -3*h(w) + p(w). What is -3*d(x) + 2*g(x)?\nAnswer: 29*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/((-9)\/(-12)). Suppose -3*i + l*i = 0. Suppose 6 = -i*d + 2*d. Solve 4*w + 17 = -x, -x = -4*x + d*w + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(228) - sqrt(228)*2))\/((2*sqrt(96))\/sqrt(8) + sqrt(12)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 3*(sqrt(114) + 1*sqrt(114) - sqrt(114))) + sqrt(114) - sqrt(114))\/(sqrt(30)\/sqrt(20)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233 + 524 + 347*m**2 + 319*m**2 - 669*m**2.\nAnswer: -3*m**2 + 757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + 2 - 3*sqrt(68).\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 31*i**3 + 4*i**3)*(1 - 2 - 2)*(2*i - 3 + 3)*(-4 + 2*i + 4).\nAnswer: -444*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4*-3)\/((-3654)\/(-696))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1989 and 1\/46.\nAnswer: 91494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 432541341*h**5 + 69011961*h + 4 wrt h?\nAnswer: 8650826820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 22*h**3 - 9*h**2 - 20*h. Let w(d) = -7*d**3 + 3*d**2 + 7*d. Let s(n) = 6*i(n) + 17*w(n). Let v be s(3). Let b = v - 164. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 7 = -24*y. Let u(r) = 6*r + 2. Determine u(y).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 0*x + 35 = 0. What is the units digit of (-1)\/x + (-14898)\/(-65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 0, 2\/13, -39, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*n - 4, -3*n + 4 = 2*f - 4*n. Suppose -3*p + 24 = 3*j, 0*p - 13 = 4*p - 5*j. Factor f*w**4 - w**5 - 2*w**4 - w + 2*w**p.\nAnswer: -w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1395, -1.39, -2, -0.02 in decreasing order.\nAnswer: -0.02, -1.39, -2, -1395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2057) + sqrt(2057)*-1)*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 184 - 696 - d**3 + 244 - 13*d**3 + 177.\nAnswer: -14*d**3 + 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19841843 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 183836195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/36 - 20\/(-18). Let y be (56\/196)\/(z\/7). Solve -2*p = -p - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d360b (base 14) to base 8.\nAnswer: -1741633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*15\/125*2\/(-12)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2906970, 5813990, 8721010, 11628030?\n\"Answer: 2907020*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 193349.5 centuries?\nAnswer: 1933495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let h(g) = -5*g - 10. Determine -h(p) + 2*s(p).\nAnswer: 7*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((24 + 3)\/3)\/(21\/28). Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -374 - -ae6?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 6:50 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 53. Let u(n) = -6*n - b + 10 + 3*n**2 - 2*n**2. Calculate u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1075.2, 4\/3, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1\/2*l**2 - 1\/2*l**5 - 3\/2*l**3 + 0 + 3\/2*l**4 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 1. Let g(x) = 14*x + 4. Let o(y) = -g(y) + 2*p(y). Suppose -16 = 5*s + 4. Is 29 a factor of o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 285? (a) 3 (b) -0.04 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 26 = -4*z, -d = -z - 2*d - 1. Solve -s = a - 1 + 4, z*s + 3*a + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61473681*h**3 + 39847443?\nAnswer: 184421043*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17575745, 35151496, 52727247, 70302998, 87878749, 105454500?\nAnswer: 123030251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 995906 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 - 75*z**2\/4 - 33*z\/2 + 21\/4 = 0. Calculate z.\nAnswer: -1, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312 - -648. Suppose 15*r = 9*r + s. Let l = r + -53. Solve -2*q - 7 - l = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5084 and 4346.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*v = -26, o - 11*v + 8*v + 78 = 64 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48030382?\nAnswer: 2, 151, 157, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**2\/z))\/z)**(-20)*(z*z*(z**(-4)*z*z)\/z)\/((z\/(z*z**5\/z))\/z*z))\/(z**(-2\/5)\/(z*(z*z**(1\/5))\/z*z)*((z\/(z**0*z))\/z)**(-42)) assuming z is positive.\nAnswer: z**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 17, -702 in ascending order.\nAnswer: -702, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20002 - 103?\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(0 + 4)*7. Let a = 16 - m. Solve -3*t = -a*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2801, -3, -6 in increasing order.\nAnswer: -6, -3, 2801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*t**3 - 1707*t + 6673 wrt t?\nAnswer: -12*t**2 - 1707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164670 is divided by 1082323.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 - x + 8. Let q be y(5). Let j(t) = t**3 - 2*t**2 + t - 13. Let k be j(q). Which is greater: k or 2\/285?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m - 3. Let h(b) = -4*b - 3. Let o(w) = 4*h(w) - 3*y(w). Let x(j) = j**2 + j + 4. Let a be x(0). What is o(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2552.943762 to 0 dps.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 10) to base 14.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 22*b - 42. Give d(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8511 or -8517?\nAnswer: -8517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -33, 0 in decreasing order.\nAnswer: 30, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 63*u.\nAnswer: u*(u - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(1053)*-2)*-6 + -5.\nAnswer: -108*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + -8. Let w = -13 - c. Calculate the common denominator of w and -27\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 34280\nAnswer: -617040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 36 = -3*m, 3*n + 5*m - 86 = 3*m. Let c(q) = -q**3 - 5*q**2 - 5*q + 5. Let f be c(-5). Calculate the highest common factor of f and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 82516 + 329903 - 82348 - 82517 - 82522.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(2\/41)))\/n*n**(-2\/139)*((n\/(n**(-1\/17)\/n))\/n)**12 assuming n is positive.\nAnswer: n**(1224864\/96883)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1*8\/12. Let n(h) = h**2 + 2*h + 2. Let v(f) = f**2 + 3*f + 2. Let u(r) = z*v(r) + 3*n(r). Differentiate u(y) with respect to y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 55 = -4*a. Calculate the remainder when 33 is divided by (-2652)\/(-130) - (-2)\/a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599*b + 732*b - 2533*b + 595*b + 608*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((83 - -1)\/(-7))\/(15\/(-20)). Let x = -12 - -36. Suppose -f*i + x = -4*i. Solve 2*h = -i*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.622 or -2.1?\nAnswer: -0.622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1153 + 17.8847. Which is the third smallest value? (a) -5\/2 (b) w (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8113, -3, -533 in descending order.\nAnswer: -3, -533, -8113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:41 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-292*n**4 - 2 - 91*n**4 + 79*n**4).\nAnswer: 608*n**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {z: 3, s: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Find the first derivative of 0 + j + 5*l**4 - 2 - 1 wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1443152, -1443149, -1443146?\nAnswer: -1443143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -115, -162, -225, -304?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iqi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 360 or 153088\/427?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 21527\nAnswer: 5\/21527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:17 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + (sqrt(242) + 1)*-5)*-1)**2.\nAnswer: 440*sqrt(2) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2145 = 694022*y - 694077*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 1030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 336686.4 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -64. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*f**3 + 772*f**3 - 1702*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5824 - 17*k**2 - 5824 + (1 - 5 + 3)*(k**2 + k**2 + 0*k**2) + (3*k + 0*k - 5*k)*(-13*k + 9*k - 8*k) - 3*k**2 + 4*k**2 - 2*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k + 33*k - 68*k + 7*k + 16*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 193255 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881603 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -16*w**2 + 20 + 12*w + 4 + 18*w + w**3 - 17*w. Determine y(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 1. Let g(z) = 2*z + 8. Let s be 234\/42 - 12\/(-28) - 0. Calculate the lowest common multiple of g(s) and u(5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 606*a - a**2 + 17 - 16 - 606*a. Let w(h) = h. What is x(w(c))?\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r + n - 12, -4*n = r + 8. What is the units digit of (-61)\/(-7) + r\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 20. Suppose 12*a = 11*a + b. Solve -t + 8 = t - v, 0 = 2*t + a*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442728 and 7025512.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163.8 - 166.8. What is the closest to a in -9, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - i**2 - i. Let x(a) = -2*a**3 + 6*a**2 + 7*a. Suppose -954*q + 6 = -951*q + 3*t, 2*q - t = 1. Give q*x(l) + 6*s(l).\nAnswer: 4*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0 (c) -4\/3 (d) 0.5 (e) 3 (f) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y + 1\/8*y**4 + 0 + 2*y**2 + 1\/6*y**3. Is 12 a factor of h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 266\/56*(-5)\/(10\/(-24)). Let s = j + -44. What is the remainder when 24 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y + 7. Let c be n(7). Let i = 2 + c. Suppose -5*r + i*h - 13 = 0, r - 4*h + h = 0. Let g(p) = p**2 + 2*p + 2. Determine g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320 or -4127?\nAnswer: -4127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 151?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 73*u + 929. Give o(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 19\/2 (c) 0.075269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48194260?\nAnswer: 2, 5, 19, 126827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:33 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aad (base 14) to base 12.\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 132, 230, 316, 384, 428, 442?\n\"Answer: -c**3 + 105*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57\/12 + -5 + 0. Which is the second biggest value? (a) r (b) -1 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 6*u - 1. Let q be c(-6). Let b(l) = 61*l**3 - 3*l + 2. Let h(d) = -30*d**3 + d - 1. Let i(j) = -b(j) - 2*h(j). Calculate i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3000 + 31*x**3 + x - 3014 - 89*x**3 to h + g*x**3 + w*x + r*x**2 and give g.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 831 times -0.5\nAnswer: -415.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209*i - 31*i + 282*i)*(-1133*i + 1133*i - 31*i**3).\nAnswer: -14260*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20891 - 20890.6. Let o = -11\/81 - -2\/81. What is the nearest to 0.2 in 2\/3, o, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 greater than or equal to 24700\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2710, -2712, -2716, -2722?\n\"Answer: -t**2 + t - 2710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 - -3.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -991, -3628, -8885, -17668, -30883, -49436?\nAnswer: -74233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 10*n**2 - 15*n + 2. Let b be x(8). Suppose 8 = 4*j - 32. Suppose 2*z - 8 = -p, -z = p - 5*z + j. Solve 5*s + b - 30 = p*k, -2 = -s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7322560633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 663870\nAnswer: 1\/221290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/3)\/q)**(-3\/8) assuming q is positive.\nAnswer: q**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-496)*-48*2*(-2)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**3 - 3*f**2 + 13*f + 19. What is the thousands digit of v(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185457.\nAnswer: 3, 61819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224 by -56.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -396, -214, -32?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796709981.\nAnswer: 3, 11, 727, 74891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 6*d = 1520. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 + -6 - (-1 - 0). Let c(s) = -2*s**2 - 6*s**2 + t*s - 6*s. Let r(f) be the first derivative of f**2\/2 + 2. Give c(r(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 55 = z. Suppose 2*w + 4*t - 59 = w, -218 = -4*w + 2*t. What is the greatest common divisor of w and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2010?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 39 + 41 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 z, and 1 n when four letters picked without replacement from kkznnkkznzskkz.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 2*m - 20 = 0, 3*m + 7 = -5*r - 4 + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 20*h - 75. Let a be k(-13). What is the nearest to -1 in 1\/7, 0.067, a, -4?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/20 - (-16)\/(-10). Let k be 231\/v*18\/(-27). What is k rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.07295 rounded to 1 dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 806754.56 rounded to the nearest 100?\nAnswer: 806800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(9520\/(-168))*17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 27745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*t - 2350 - 2818 = 0 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**3 + 6*v**2 - 5*v + 8. Let c(z) = -10*z**3 + 11*z**2 - 9*z + 14. Give -4*c(k) + 7*y(k).\nAnswer: 5*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcddcbccccbcbld. Give prob of sequence ddbl.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1595 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 bigger than -21198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 4562430 to the power of 1\/2, to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*l = l + 19, p - 5 = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 357, 4, 271, 0, -1 in descending order.\nAnswer: 357, 271, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1258 + 559. Let z = n + 1192. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 28*m**2 - 30*m + 105. Let v be y(27). Calculate the highest common factor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 8*r**2 - 131*r - 223. Let w be n(-14). What is the greatest common divisor of w and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/(-42))\/(1\/2). Suppose -i + x - 3 = 0. Is 37 a factor of (183 - (-2 - -4)) + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4147 - 11854 - 2*c + 3580 + 4172.\nAnswer: -2*c + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311, 1, -2, -5, -4, 116, 5 in decreasing order.\nAnswer: 311, 116, 5, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z - 1 = 47. Let r(n) = -54*n**3 - 2*n**2 - n. Give r(z).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357053.\nAnswer: 277, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - 48. Let i = -91 - m. Let o = i - 42. Solve -b - 2 + 4 = o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 126. Suppose l = -2*i + 90. Calculate the least common multiple of i and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*c = -71 - 17, 80 = 5*d - 5*c. Let k = 30 - d. 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: Divide -1106 by 2.\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 16*g - 32 - 8 = -18*g + 27, 2*m = -65*g + 287 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -205376 (base 9) to base 7\nAnswer: -1015563","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 40368.81 micrometers in nanometers?\nAnswer: 40368810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14*b + 2*b**2 - 14 + 19 + 6*b**2. Let v(n) = -12*n**2 + 21*n - 7. Let h(u) = -7*f(u) - 5*v(u). What is the second derivative of h(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4566, -4302, -3834, -3162, -2286, -1206?\n\"Answer: 102*m**2 - 42*m - 4626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2 + 2)*(-q**2 + 3*q**2 - q**2)*(-23*q + 2*q - 13*q).\nAnswer: -102*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/6 + d**2\/2 - d + 3. Let k(f) be the first derivative of g(f). Find the first derivative of k(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 33, 3 in descending order.\nAnswer: 33, 10, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483965632 by 60495704.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68 - 100 + 34*u**2 + 132 wrt u.\nAnswer: 68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21 + -12 - (5 + -1))*121. What is the highest common divisor of 121 and g?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b + 6*b**2 + 0*b**3 - 2\/15*b**5 - 1\/3*b**4 + 0. What is the second derivative of n(v) wrt v?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 204036\nAnswer: -40807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -7, 42, 2, -1.9?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*i - 66, 4*g - 3*i - 86 = 2*i. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 >= 59872842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -38. Calculate the greatest common divisor of k and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -30*b + 48. Let l(k) = 45*k - 73. Calculate -8*c(f) - 5*l(f).\nAnswer: 15*f - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84.4*943.\nAnswer: -79589.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6122.39 and -910350.55.\nAnswer: -904228.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + r**2 + 6 - 2*r**2 - 3*r**2 + 8*r. Let z be p(8). What is the highest common divisor of 42 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101001100111001011011 - 1?\nAnswer: -11000101001100111001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143901338 to the power of 1\/3, to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4082 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71563 millennia in decades?\nAnswer: 471.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*g**3*h**2 - g**3*h + 3*g**2*h*v + 2*g**2 + 18*g*v - 4*h**2*v wrt h.\nAnswer: -304*g**3 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*y = -4*y - 32, 0 = -3*k - 4*y - 112. Let c = k - -67. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxp when three letters picked without replacement from {p: 4, q: 1, i: 7, x: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10)*-5 + 22. What is the common denominator of 0 - -73*2\/x and -19\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 666 and -2.\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*v + 573*v - 8330 = 273*v + 31050 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1892\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 461673.1s in nanoseconds?\nAnswer: 461673100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d396 + 163?\nAnswer: -3d233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2263 - a28a?\nAnswer: -c4ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 54390 (base 15) to base 16\nAnswer: 414ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -14. Solve -11 = 2*u + o*n - 2, -3*u + 12 = -4*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-6)\/12)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 5, g: 2, r: 3}. What is prob of picking 1 p and 1 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 46*y - 19 + 175 - 68.\nAnswer: -46*y + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20531093?\nAnswer: 11, 103, 18121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6688.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 11 - 5 = 0. Suppose -4*s + j + 15 = 0, 3*j + 21 = l*s + 2*s. Suppose -15 = -w - 4*u + s*u, 8 = -2*u. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zobbzbbozobooooozbbz. What is prob of picking 1 b and 2 z?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 23 - 3. Calculate the least common multiple of k and (-76)\/(-4) - 3\/(-1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6600 and 37200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**35*m**(30\/11)*m**(-1\/2) assuming m is positive.\nAnswer: m**(-287\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4469, -4473, -4485, -4511, -4557, -4629, -4733?\nAnswer: -4875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z - 1218770 = -4139*z - 580*z - 5809*z for z.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + ((-56952)\/(-8))\/(-9). Let s = n - -795. Let q(v) = 2*v - 2. Determine q(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k. Let r(c) = c**2. Let t be -2 - (2 - 0\/2). Suppose 3*f + 2 = -4. Give f*g(q) + t*r(q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*q - 2*q - 1008, -5*b + 4983 = -q. Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 1105. Let u(c) = 106*c + 2441. Let v be u(-23). Suppose v*k - 31 = p. What is the greatest common factor of 28 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, -1, -4, -5 in decreasing order.\nAnswer: 23, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -35. Let v(l) = -l**2 - 11*l - 10. Let w be v(j). Solve -z + w - 4 = m, -5*z = 4*m + 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 - 2367\/11. Let x = 4844 + -4848. What is the closest to 2\/5 in z, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001 + 10110010100?\nAnswer: 10100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -386, -177, 162, 625, 1206, 1899, 2698?\n\"Answer: -i**3 + 71*i**2 + 3*i - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 276387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, 1 v, and 1 e when four letters picked without replacement from lhvhvseeuesu.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7483 = -3504*o + 160709 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + s + 2*s**3 + 12*s**2 - 12*s**2.\nAnswer: 2*s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.7. Let p(r) = -r + 13. Let u be p(10). Suppose h - 4 = -u*h. Which is the nearest to 0.2? (a) h (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/3*j**4 - 56\/3*j - 1\/3*j**5 + 0 - 39*j**3 - 142\/3*j**2 = 0.\nAnswer: -28, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-79 - (5 - 1)). Let n = z - 43. What is the smallest common multiple of 2 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 862*q + 722*q - 137*q to the form t + j*q and give j.\nAnswer: 1447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 1735378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 6. Let c(v) = -v - 1. Let h be c(l). Let g be (-2*1)\/((-4)\/1). Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 1, w: 2, h: 2, x: 10}. What is prob of picking 2 h?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 291 (base 12) to base 14\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 12*s + 98. Let t(g) = 7*g**2 + 21*g + 23. What are the prime factors of t(s)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-20) - (-1178)\/5. Let j be (-2)\/8*(f\/45 - 5). Suppose 3*d + 27 = 30. Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -41?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2337895?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310001 is divided by 3853.\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1569 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79408 divided by 5199?\nAnswer: -79408\/5199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + -86. What is the third derivative of -5*a**2 - 28*a**2 - g*a**6 + 43*a**6 + 9*a**2 wrt a?\nAnswer: 3000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 8, -3\/2, -0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 2*g + g)*(2 + 3 - 4)*(2 - 14 - 9) + (-3*g + 2*g - g)*(-2 + 2 - 1) + (-2 - 1 + 1)*(5*g + 6 - 6) to r + q*g and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49791 - 49791 - 14*j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/5 (b) 7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29\/(-87))\/(-1 - (-64)\/66). Let m(b) = -2*b + 26. Let r be m(j). Let s be (16\/r - 520004)\/((-3)\/(-300)). What is s rounded to the nearest one million?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*h*s**2 - 111*h*s + 11*s**2 + s wrt s?\nAnswer: -48*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/4)\/((-12)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddvhgedevvrerr. What is prob of picking 1 r, 1 g, and 2 v?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 17. Let j be h(16). Are 2\/11 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102630 (base 7) to base 14\nAnswer: -66c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygyyyyygy. Give prob of sequence gy.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 3)*-1 - 0. Solve -s - 2 = w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-52)\/(-39))\/(2\/3). Let b be ((-8)\/32)\/(z + 19\/(-8)). Let j = 255 - 11476\/45. What is the smallest value in 4, b, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14592 + -13809. Calculate the remainder when 802 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**6\/105 - u**5\/70 - 7*u. Factor l(s).\nAnswer: -2*s**3*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 17*u + 5*j - 36, -9*j = -2*u - 4*j - 18 + 63 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 544 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 86955 (base 10) to base 9\nAnswer: 142246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwcfddsgdwswd. Give prob of picking 1 s, 1 g, 1 d, and 1 c.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*s + 3*m - 4, -4*m + 16 = 4*s. Let v be ((-9)\/(-12))\/(s\/48). Suppose -785 = -434*o + 3121. Calculate the greatest common factor of v and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 divided by 44?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-444)\/33)\/((-544)\/(-204))*-22?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 1\/30*c**4 + 0*c**3 - 1\/75*c**6 + 1 + 5*c - 1\/105*c**7 + 1\/50*c**5 + 0*c**2. Suppose d(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + -1 + -3)) + (sqrt(704)*-2 + 0 - sqrt(704)))**2 + (2*-2*sqrt(704))**2 + (-1 + sqrt(704) + 0)**2 + -1.\nAnswer: -208*sqrt(11) + 18320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjghgssslslgjh. Give prob of sequence sg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 689, 868, 1043, 1214, 1381?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.046 + 5.046. Let i = -0.01 + -0.39. Which is the nearest to i? (a) h (b) -4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)\/(t*t\/(t\/((t\/(t**1*t*t))\/t*t))*t))**6\/((t*t\/(t\/t**(-7))*t*t**(2\/3))\/((t\/((((t\/t**(-3))\/t)\/t)\/t))\/t**(-4\/9))) assuming t is positive.\nAnswer: t**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 - 125*t - 8. Let g be (-2)\/14 + -14 + 1773\/63. Let s be l(g). What is the greatest common divisor of 8 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.76*-139.4\nAnswer: 105.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + p + 4. Let g(l) = 3*l**2 - l + 3. What is 4*d(k) - 5*g(k)?\nAnswer: k**2 + 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11*h**2 + 2 - 5*h + 7*h**2 - 4*h**2.\nAnswer: 14*h**2 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -307127756939 and 50.\nAnswer: -307127756889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 8*v - 15. Calculate the remainder when 7 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 223\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 9*o**2 - 7*o + 2. Let l be v(-7). Let d = l - -50. Find the second derivative of 8*y**3 - 10*y**3 + 15*y - 13*y**d + y wrt y.\nAnswer: -90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2026*j**3 - 6*j**2 + 6*j + 8. Suppose -3 = 2*n + 21. Let m be y(n). Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 2*u - 22. Let h = u + 88. List the prime factors of 4*h\/(-16) + 185.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 12. Suppose c + 91 = 4*u. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 11:39 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 17. Let n be f(17). Suppose 24*m - 19*m - 25 = n. Calculate the remainder when 26 is divided by 19\/2 + 5\/(5 + m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:55 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-161406)\/1134*(-18)\/14. Solve 55*l - v = 92 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-25)*c*c**(-27\/4) assuming c is positive.\nAnswer: c**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 + 6*y**2 - 3*y**2)*(-2*y + 3 - 3) - 2*y + 2*y + 1903*y**3 - 1123*y**3 as u*y**2 + k*y**3 + b*y + t and give k.\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*p - 5728 = -437*p + 64*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.15978 (b) 3 (c) 5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37766643*n**3 - 4*n + 6351978?\nAnswer: -226599858*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 44. Let c(s) = 2*s - 2*s + 15*s**2 - l*s**2. Let n(x) be the second derivative of 5*x**3\/6 - x. What is n(c(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4289199201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65999 less than or equal to 66002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 144*g**2. Let w(y) = -3*y + 3. Calculate h(w(b)).\nAnswer: 1296*b**2 - 2592*b + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 6*c**2 + 0 + 1 + 3*c**3 to x + f*c + w*c**3 + g*c**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 o when three letters picked without replacement from otyottoytttyttstydt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 55 - 17 = 176 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 36768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -16 (b) -2\/13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 10*i**2 - i + 11. Let d be o(10). Let l be -1 - 2*(-3 + d). Let y be (-13)\/(-3) + (-1)\/l. Solve 4*w + 0 = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 67*w - 207. Give s(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 61*k**3 - 415*k**3 - 3*k**2.\nAnswer: -476*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73933?\nAnswer: 17, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 5 - 4 - 1 + 3 - 4 + 1 + 2 + (1 + 2 - 1)*(3 - 3 - 2) - 1 + 1 - 2 - 2 + 0 + 0)*(-22*u - 59*u - 23*u) to the form c*u + m and give c.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 20*p + 1. What is y(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*5\/258)\/(-16*(-540)\/(-31104)).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/20 + 518*k**2. Let v(l) = -8*l. Determine v(z(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 3*o - 7. Determine c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t = -24*t + 2*f, 5*t + 2*f = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*t + 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12053000 to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 56*u - 112. Let n be o(2). Suppose 2662*w - 2661*w - 744 = n. Calculate the lowest common multiple of w and 2.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icciy. What is prob of picking 1 c and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -138*k - 3. Let f be h(-3). Let j(q) = -411 + f - 9*q. Let a(s) = 18 - 18 + s**2. What is a(j(p))?\nAnswer: 81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177224323 to the power of 1\/2, to the nearest integer?\nAnswer: 46661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 6. Solve -4*l + 2*q - 10 = 0, 4 = -4*q - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 20 = -2*x - 3*x, -7*v + 10*v - 27 = -3*x - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 1\/2 (c) -19 (d) 48560\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.86 rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(3 + sqrt(684) + 1) + 1 + (sqrt(684) + sqrt(684) + (sqrt(684) - sqrt(684)*-1) - sqrt(684) - sqrt(684)) + 3 + sqrt(684)*2) + 3)**2.\nAnswer: 4536*sqrt(19) + 28593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 136034*l + 136033*l - 23, 58 = -4*g - 6*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/455 + 15\/1456. Suppose -672*y + 676*y = 0. Is v smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -632 - -626. Let g be (0 - w) + (8 - -4 - -7999982). Round g to the nearest 100000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 18*m - 20. Let c be h(16). List the prime factors of (24\/5)\/(c\/180).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 3*v - 3. Let b be p(-2). Let x = -8.94 - -11.94. Suppose g + 4 = 2*g. What is the third biggest value in g, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i**3 - 3\/2*i**4 - 120*i + 0 + 273\/2*i**2 = 0. What is i?\nAnswer: -16, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 10. Let f be n + -5*(-1 - 0). Suppose 4*l = o - 37, -3*o = -f*l - 3*l - 41. Is -11 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 399 - 394. Suppose -3*b = 9, -n - 2*b + 3*b = 0. Put 1, n, k in descending order.\nAnswer: k, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i + 800. Let r(x) = -18*x**3 + 2*x**2 + 2*x - 2. What is the remainder when r(-2) is divided by m(-109)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine fifths of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28945047 and 183?\nAnswer: 1765647867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 1469*x = 1471*x - 22, c + 7*x = 5*x + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 127. Suppose 0 = 3*p + 2*p - y. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 63. Let k be o(17). Suppose q = -2*v + 49, 0 = -5*q + k*v + 172 + 43. Calculate the highest common factor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222*w**3 - 9*w**2 - 13*w wrt w?\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 55. Suppose -d - 3 = 0, v = -f + 4*f + 2*d. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 2*w**3\/3 + 5*w**2\/2 - 4*w + 2. Let f be k(3). Let o = f - 17. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:44 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -763673 or -763728?\nAnswer: -763673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**4 - 25 - 10*g**4 + 15*g**3 - 16*g**3 + 83 in the form h + l*g**2 + x*g**4 + r*g + b*g**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**(-26))\/y*y)\/y**27*(y*y*y*(y*y*y**(-12))\/y)\/y*y**(-8\/5)\/y)**(2\/73) assuming y is positive.\nAnswer: y**(-626\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1498 - -2.8502. Which is the second biggest value? (a) -1\/9 (b) 2 (c) 1 (d) -5\/2 (e) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -109046, -109048, -109050?\n\"Answer: -2*u - 109044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1470\/(4 - -1). Suppose j = 2*t - 143. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 30 = f, -t - 35 = 2*f. Let j = -14 - f. What is the smallest common multiple of 2 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 66*y**3 - 366*y**2 - 526*y - 228.\nAnswer: 2*(y - 38)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 890 and 5510.\nAnswer: 490390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:18 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p - 20. Determine a(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 5*u**2 + 10*u - 4. Let d be c(-8). Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -6, -18, -34, -54, -78, -106?\n\"Answer: -2*x**2 - 2*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 57646362*d**2.\nAnswer: -3*d**2*(d - 19215454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.47 + -1.87. Let t = 6 + -1. Let x be (-18)\/20*35\/273. Which is the second smallest value? (a) x (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 381090 and 21.\nAnswer: 2667630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/3216 and 89\/1608?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 9*k - 5. What is the tens digit of o(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let t(b) = -19*b**3 - b**2 - b - 1. Is 7 a factor of t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -9926?\nAnswer: -9926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w + 9, -5*a + 1622 = -4*w. Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 9. Let b be l(6). Let a(u) = -u**3 + 17*u**2 - 18*u + 36. Let r be a(16). Suppose -22*f = -r*f - 54. Solve -f - 3 = b*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1182191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 140*u + 1975. Determine c(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2562\/28)\/(-61)*1\/(-2). Sort 0.087, 0.4, v, -0.5, 0.06 in decreasing order.\nAnswer: v, 0.4, 0.087, 0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75500\/(-755) + 474\/3.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 15\/8, -14, 2.9, 0.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -o. Suppose -4*z - 4 = 2*r, -z + 8 = 3*z - o*r. Let g = 0.05 - -0.05. Sort g, -2, z in decreasing order.\nAnswer: g, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 745, 755, 779, 823, 893, 995, 1135, 1319?\n\"Answer: i**3 + i**2 + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10411, -10378, -10295, -10138, -9883, -9506, -8983?\n\"Answer: 4*y**3 + y**2 + 2*y - 10418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/112)\/(1\/(-14)). Let r(h) = 11*h**2 - h - 1. Let u(f) = -f**2 + f + 1. Determine g*u(q) + r(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8991518 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -8.21 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = m + 9, -5*m - 5*n = -10. Suppose 12*x = -m*x - 76. Put -0.4, 0.2, 0.1, x in descending order.\nAnswer: 0.2, 0.1, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30523 (base 6) to base 2\nAnswer: -111111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37770 and -180?\nAnswer: 6798600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (212\/(-6))\/((-40)\/60). Let b = p + -41. What is the remainder when 58 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 498 + -4987\/10. Let z = 160 + -794\/5. Let h = f + z. Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 11) in base 9?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 100*d + 3. Let u be c(4). Suppose -u = 2*t - t. Let w = -273 - t. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2064159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 25 = 7*k. Let f be (21\/6 + k)*-32. Let s = f - 1. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1619)\/16190)\/(1\/(-12))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85.9 - -88.7. Let y = 2.3 + -2.5. What is the second smallest value in 1, y, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 753 divided by 5152.\nAnswer: 753\/5152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 2*k**5 - k**5 + (2*k + 2*k - 5*k)*(1 - 1 - 2*k**4) + k**2 - k**2 + 2*k**5 + (-6 + 2*k**4 - 3 + 0*k**4)*(-5*k - k + 5*k).\nAnswer: 3*k**5 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300209030 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(0 - 2\/2). Let i = f - -9. Suppose i*y = 10 - 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 456\/(-21850)*-8 + 2\/(-23)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/57155698 and -21\/2.\nAnswer: 57155698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81164 and 5150.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaas. What is prob of picking 1 s and 2 a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -82933 and 39949892.\nAnswer: 39866959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-42))\/(2\/(-702)). Let s = c + -131. Let z be (35\/s)\/((-1)\/(-2)). Let t(h) = 11*h - 1. Let o(d) = -10*d + 1. What is z*t(m) - 6*o(m)?\nAnswer: 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7856 and -574.\nAnswer: -4509344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**3 + 3*q**2 - 59*q - 100. What is y(-9)?\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1574\/830457 + 4\/1741. Let g = 104\/477 + n. Let y = -78 - -78. Sort 14, g, y in decreasing order.\nAnswer: 14, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 4 (b) 12\/13 (c) -1 (d) -353\/11 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 644 - 404. What is the smallest common multiple of i and 12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {x: 3, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 11*l + 4. Let x be w(7). Let o be (3 - (-1 + 0)) + x. Let j = o + -324. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 16980\/(8 + 2). Calculate the highest common factor of u and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, 1, 81 in descending order.\nAnswer: 81, 5, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/20 + (-11)\/(-10) + 111 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g + 309*g**3 + g - 164*g**3 - 374 + 251*g**3 with respect to g.\nAnswer: 1188*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6*-5*18\/(-420)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 1, -47, -5, 46, 3 in increasing order.\nAnswer: -47, -19, -5, 1, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1266 + 1291. Calculate the remainder when 1 + -4 + 4788\/63 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6*2*8. Let j be (4\/6)\/(n\/108). Suppose -5*z + j + 1 = 5*s, 0 = 3*s - 15. Put z, -0.1, -0.4 in increasing order.\nAnswer: z, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130.74 + 130.73. What is the biggest value in -0.1, g, 78, 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*k*u**2 - 21300*k - 60*u**3 + 13*u**2 wrt u.\nAnswer: -24*k*u - 180*u**2 + 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + w - 4905 - 3219.\nAnswer: w - 8193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**3 + 11*n + 5. Let v = -4 - -6. Let b(p) = -4 + 0 - 4*p + v + 0*p**3 - 3*p**3. Let h(q) = -11*b(q) - 4*j(q). Differentiate h(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2699*-0.1\nAnswer: 269.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.84614 millilitres?\nAnswer: 0.05284614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g\/g**(-8)*g)\/g)\/g*g*(g*(g\/(g\/g**(-1\/4)))\/g*g)\/g*g)\/(g**(4\/3)\/(g*(g*g**(1\/3))\/g)))**(-9) assuming g is positive.\nAnswer: g**(-387\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 838, 1630, 2422?\n\"Answer: 792*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*m - 63*m + 2592 = -145*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*s + 3*q - 90, 4*s = -5*q + 117. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.264 + -984.736. Let i = 1011.28 + x. Let u = -26 + i. What is u rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 76 = -251. Suppose b = 2*b - 21. Suppose o = 3*f - f + v, 0 = f - 3*v - b. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244*d + 1806*d - 26976 = 0 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 + -733751261?\nAnswer: -733751260.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = -4*w - 9, -2*l = w - 9. List the prime factors of 396 - -1 - (w - 1).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -102653 + -5a?\nAnswer: -102702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by 6?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505551.\nAnswer: 3, 43, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let q be b + -2 + -1 + -1. Does 15 divide -1 - (-30 + -1 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 + 27*x\/2 - 195\/4.\nAnswer: -3*(x - 13)*(x - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 30) + (4 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + 0*a)*(2 - 1 + 1)*(-1 + 0 - 7) + (3*a - 4*a + 3*a)*(3 + 0 - 2).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 5, -231*v = -232*v - 5*q - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q + 12. What is the lowest common multiple of q*(33\/6 - 3) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 d when four letters picked without replacement from djjdjjjjwjjw?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - -4)*(24\/(-4) + 3). Suppose -75 = -m*p - 3. Suppose 2*c - 3 - 3 = 0. Is c <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 0*i - 1062 = -1022 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1091 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.596 - 9.796. Suppose -4 = -v - 5. Let s be ((-3)\/18)\/(v\/2). Which is the biggest value? (a) -0.4 (b) f (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldlllllllllllllll. Give prob of sequence ldll.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)*-5 - (3 + (sqrt(150)\/sqrt(3))**2).\nAnswer: -75*sqrt(2) - 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -57*u + 640. Solve u = -2*x + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3 - 6 + 0*x + 2*x - 1. Let z be c(3). Solve y - 3*n = -z - 4, -4*n + 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x - 76*x**3 + 43*x**3 + 40*x**3 wrt x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-54))\/((4 - -2) + -3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-42)\/2)*21860\/(-12023).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 18 = 2*n. Let s be (2 + (0 - n))*(0 + 12). Which is greater: s or -25\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - 0) - (-7 - (12 + -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/28*-9*(-868)\/(-186)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 6*c - 4. Let u be q(-8). Suppose -2*f + 4*w = -0*f - 38, -u = 4*w. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**3 + 71*v**2 - 25*v + 33. What is the lowest common multiple of y(11) and 7?\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273948 and 1464?\nAnswer: 33421656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -42*c + 40*c + 1, -2*s + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3645 - -3646. Sort y, -18, 5, 0.3 in increasing order.\nAnswer: -18, 0.3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 25, 69, 125, 187?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 - 326*b**2 - 164*b - 144. Give u(-81).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmq when four letters picked without replacement from qqqqqmqmmqqmqqqmqm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001879 rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/3)\/(((-8)\/(-9))\/4). Suppose a = 2*y + y - 5*d, 3*y + 5*d - 45 = 0. Suppose 3 = m + 1. What is the smallest common multiple of y and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1465.147 + 1465. Is q less than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 102 = -99, 4*q = -2*d + 612. What is the remainder when d is divided by 80?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -869 and -868 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*b + 3, -5*b + 13*b - 9 = 4*g - 6*g + 3*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4\/3 + ((-6650)\/21)\/(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-117) + (-40)\/(-18). Suppose 2*h = -5*n + 87, 0*h - 2*n = -f*h + 108. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aa - -76a?\nAnswer: 6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 29*j**2 - 205*j + 3. Let u(r) = 13*r**2 - 102*r + 2. Determine 3*c(m) - 7*u(m).\nAnswer: -4*m**2 + 99*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18470)\/15)\/((-2)\/6). Let d be (-2)\/(-8) + r\/8. Let k = d + -205. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710934.6 + 0.009?\nAnswer: 710934.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007807417748 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 1. Let z be c(2). Suppose 5*u = -g + 2, -4*u + 3*g = u - 14. What is the closest to u in z, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 55571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = 3*h - 3*x, -14 = -2*h + x. Let d(s) = 11*s**2 - 5*s**2 - 2*s**3 + 0 - 330*s + 334*s + s**3 - 1. List the prime factors of d(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.3 + -4454.256.\nAnswer: -4415.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2452, 19715, 66626, 158023, 308744, 533627, 847510, 1265231?\nAnswer: 1801628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-5 - -11) + 2. Let i be 0 + 0 - (-166)\/249. Which is the second biggest value? (a) i (b) -4\/3 (c) 11\/2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-93)\/9)*-12. Let g be 5056\/o - (-1)\/1. Let c = g - -2483\/102. Calculate the common denominator of -28\/19 and c.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.6428 rounded to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167828 (base 12) in base 16?\nAnswer: 5e5e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, e: 1, i: 1, j: 1}. What is prob of sequence xj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 0*b - 4248 = -14*b + 60*b for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 10) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aauajjjjaaaaa. Give prob of sequence uaaj.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {r: 4, g: 1, c: 3, x: 1, e: 1, z: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/53, -8, -0.5, 3 in decreasing order.\nAnswer: 3, 5\/53, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 4*m - 33. Suppose 40 = 4*l - a - 145, -4*a = -m*l + 142. What is the units digit of ((-6)\/4)\/(1*(-1)\/l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -335 - -339. Suppose -2370 - 1198 = -4*f + z*i, f - 904 = -2*i. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 44\/(-10))*(-50 - -45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -9. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 - -424020155?\nAnswer: 424015511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8326267, -8326302, -8326337, -8326372, -8326407, -8326442?\nAnswer: -8326477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 7*f + 4*f**2)*(0*f + 2*f - 3*f)*(f - 6*f + 4*f) + 0*f**4 + 4*f**4 - 5*f**4.\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/(-4 - -5 - -117). Let w = c + 12913\/708. Let z = -40795\/8 - -5110. What is the common denominator of z and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 5:05 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*k*u**3 + 901*k*u**2 + 15*k*u + 132*k + 3*u - 3 wrt u.\nAnswer: -858*k*u + 1802*k","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is 940773 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 5, -1 in increasing order.\nAnswer: -4, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -27*q + 16. Suppose 2*u - 9496 = -3*w, -4244 = q*w + 3*u - 16907. Let v = w + -2195. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 2132137054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/31)\/(l*l**(-6)) assuming l is positive.\nAnswer: l**(157\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 112*s - 206. Let g be r(-26). What is the highest common divisor of g and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.066, -1086.1, 5, -2?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -473*n**3 - 17*n**2 + 20*n + 70. Is v(-3) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/12)\/((-16)\/64).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 25, -4*m - 17 = -15*u + 10*u. Which is the nearest to 108? (a) m (b) -2 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4465, -177 in increasing order.\nAnswer: -4465, -177, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(sqrt(68) - (sqrt(68) + ((sqrt(68) + 4)*-3)**2)).\nAnswer: -3775 - 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3422 + 3422.8. Let l(g) = -g**2 - 10*g - 10. Let o be (3\/(-6))\/((-3)\/(-48)). Let a be l(o). Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5276 - -1?\nAnswer: -5275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2400 and 96416000?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 66. Let n be (-36)\/(-126) + j\/14. Suppose n*w - 25 + 5 = 0. What is the greatest common divisor of 4 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.86 * 1.6\nAnswer: 10.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -3961*a**5\/20 + a**4\/12 - 110*a**3 + a**2 - 10*a + 35. What is the third derivative of o(z) wrt z?\nAnswer: -23766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824469458?\nAnswer: 2, 412234729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -118\/142891 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41128709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008808815 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 22138888?\nAnswer: -5\/5534722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 11941*h**5\/20 + h**4\/12 - h**3\/6 - 759*h**2\/2 + 329*h - 6. What is the second derivative of y(u) wrt u?\nAnswer: 71646*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -5*y**2 + y + 8. Let l be q(3). Let t = -20 - l. What is the greatest common factor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18612342733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 4. Let u(p) = p**2 - p + 4. Let f(h) = 3*a(h) - 2*u(h). Let m = 4281 + -4278. Calculate the remainder when f(m) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 - 166 - (11 + -18 - 106).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + 2*sqrt(112) + (6*2*sqrt(112))**2 + (-3 + sqrt(112))**2*-1*3.\nAnswer: 80*sqrt(7) + 15758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n*r**3 + 790070*n*r**2 + 30*n*r + 4*n + r**3 - 2*r**2 + 13300 wrt r?\nAnswer: -12*n*r + 1580140*n + 6*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8) - -4)*1\/18\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 548 - 6?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100400, -100408, -100418, -100430, -100444, -100460, -100478?\nAnswer: -100498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3476102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 2*z + 2. Let u(x) = -x**2 + x - 8. Let j(y) = -2. Let q(w) = 9*j(w) - 2*u(w). What is 4*q(h) + 5*s(h)?\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 291*p. Let v(y) = 12*y. Calculate v(q(z)).\nAnswer: 3492*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 + 242*n**3\/3 + 4715*n**2 - 20172*n.\nAnswer: n*(n - 4)*(n + 123)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -334\/5. Let x be (-12)\/(-20) + 3\/(-5). Determine w so that -t*w**2 - 3\/5*w**3 - 1\/5*w**5 - 3\/5*w**4 + x + 0*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 15*u + 15. What is the units digit of c(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 856 = -682*h + 7996 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65608, 262424, 590452, 1049692, 1640144, 2361808, 3214684?\n\"Answer: 65606*u**2 - 2*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000409928767 rounded to six decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 62?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/25 + -33\/175. What is the nearest to -1\/4 in x, -1\/2, 6\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50608 >= -50605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let m = 3 - 2. Let u(d) be the first derivative of -3\/2*d**2 + 0*d + m. What is u(f(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 3)\/(-2 + 3) + 4. Suppose 670000 = w - f*y, -w = y - 829490 + 159490. Round w to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 0 - 1 = t, l + 44*t = 79*t - 43*t + 37 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*m + 5 = 2*f, f = -m + 5. Suppose 59 + 5 = f*u - j, -3*u + 5*j + 56 = 0. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2718 divide 42235002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/5 - 1666*i\/5 + 668 = 0. What is i?\nAnswer: -835, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**31\/(w*w*w**18)*(w**(-16))**(2\/77) assuming w is positive.\nAnswer: w**(815\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 18182*u\/7.\nAnswer: -2*u*(u - 9091)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-11616)\/(-670824)*11\/6\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6387651*k**3 + 23752330*k**2.\nAnswer: -38325906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 6*d = -16, 9*d - 32 = 17*d for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30\/13, 18, -0.2, -1\/6, 3\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 268*w - 1818. Calculate m(-7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110036 to 4 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3\/6 - 4*s**2 + 5*s. Let o be v(-10). Let n be o + (-4)\/(-1) + 3. What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/2)\/((-5)\/10). Let g(l) = -l**3 - 6*l**2 - 7*l - 2. What is g(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1430343414?\nAnswer: 1430343421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24374 * -0.06\nAnswer: -1462.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -43*x**3 - 3*x**2 + 210*x + 681. Give w(-3).\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 a factor of 1657539559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l = -12*l - 144. Let r(v) = v**3 - 3*v**2 - 6*v + 3. Determine r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 11*h - 14. Suppose 8 = z + 3*p, -5*z = -4*p + 24 - 45. Give x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 40*t + 27. Give s(-40).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*k - 43 = -37, -3*h - 7 = -2*k. Which is smaller: 4\/103 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 231.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*z + 164*z - 77 + 132 - 52.\nAnswer: 21*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302612 (base 10) in base 5?\nAnswer: -313140422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1438489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 66*p - 18. Let w(a) = 3*a - 1. Let b(d) = h(d) - 24*w(d). Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 46 = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-25)\/(-33))\/(38396\/(-2784) - -14). Determine o, given that g*o + 8\/11 + 18\/11*o**2 = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98647, -209165, -319683, -430201, -540719?\nAnswer: -651237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -8. Solve 2*r + 6 = g*m, m - 2*r = -2*m + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 179*d - 2917. Give f(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31002 - 4?\nAnswer: -31011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 614 = 3*n - 3*t, -3*t = -6. Calculate the highest common divisor of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -52, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*b + 28, -198*u + b = -202*u + 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 + 21286.\nAnswer: 21359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k**3 - 19*k**2 - 29*k - 8. Calculate x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-261 + 137 + 176 + 332)*(-8*t - 12*t - 4*t).\nAnswer: -9216*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h**2 + 1. Suppose -35*i + 11 = -24. Let l(t) = -t**2 + t**2 + t**3 - 1. Calculate i*l(c) + 2*z(c).\nAnswer: -c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1 + 15*n + 3 + 0*n. Is t(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331913 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by -2432.\nAnswer: 41\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.27802nm in centimeters?\nAnswer: 0.000000327802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 873370833 to the power of 1\/2, to the nearest integer?\nAnswer: 29553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.3. Let l = u + -0.7. What is the nearest to 1\/2 in l, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 7 + (3 + 1 - 3)*(0 + 2 - 5))*(-1 + 0 - 1)*(2*x**3 - 14*x**3 - 4*x**3) as j*x**2 + z*x**3 + t*x + m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4533.173 nanograms?\nAnswer: 0.004533173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071282228 to five dps.\nAnswer: 0.00713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 30. Let i(h) = h**3 - 2*h**2 + 2. Let c be i(0). What is the highest common factor of w and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqc when three letters picked without replacement from vvvcsssqvcvoovoov?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4508*f + 2252*f + 2193*f)*(-1 + 2 + 1).\nAnswer: -126*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/27)*m*m*m**(-20))**(-12) assuming m is positive.\nAnswer: m**(1832\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 8. Suppose -h + 438 = z*h. Suppose -36 = 2*i - h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 290441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 64.48.\nAnswer: -193.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(sqrt(68)*-2 - sqrt(68)) - sqrt(68))\/(3*sqrt(12)\/sqrt(3)).\nAnswer: -5 + 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-29760)*8 + (-424)\/11067\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -7, 4, 6 in decreasing order.\nAnswer: 6, 4, -7, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b83 + -6?\nAnswer: b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 17*c. Let j(v) = -9*v. Give n(j(p)).\nAnswer: 243*p**2 + 153*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and -29.\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 376654 (base 8) to base 11\nAnswer: 8a035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 1, 1\/7, -25\/2, 3.\nAnswer: -25\/2, -5, -0.2, 1\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124539?\nAnswer: 3, 41513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*v - 163 = 51*v - 73243. Sort 3, v, 1, 5 in descending order.\nAnswer: v, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/12)\/((-2)\/4). Let n be (-1)\/(-68)*-4 + 325\/(-255). Let j be 2\/(-3) + 11\/(-33). What is the fourth biggest value in n, j, 2\/5, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -155.94 from -212.4.\nAnswer: -56.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.796888442 to three decimal places.\nAnswer: -9.797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 4*q - q + (1 + 5 - 3)*(-3 - 3*q + 3))*(1 + 2 - 1)*(-2*q + 2*q - 5*q) to the form o*q + b + w*q**2 and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 4*a**6\/15 + 3*a**4\/2 - 22*a. What is the third derivative of k(h) wrt h?\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61440.4g?\nAnswer: 61440400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -859, -1829, -3097, -4657?\nAnswer: -6503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16063070 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9191026.88400051 - -9191027. Let w = -56 + 55.884. Let b = q + w. Round b to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 6*h. Let c = 4\/5467 + -688894\/71071. Let v = 10 + c. Which is greater: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 9:14 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 1b2?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2168, -44.6, -4 in increasing order.\nAnswer: -2168, -44.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2*n. Let y(q) = q**2 - q. Calculate -g(f) - 2*y(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -946 - -953. Solve 3*i = f - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -265 (b) -1\/31 (c) -3 (d) 0.5 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -u - 166, -7*u - 98 = -2*b - 4*u. Solve 0 = 4*g - 4*m + 20, 2*g + 51 = m + b for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 27*m = -45703. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 497 = 4*u - 505, 3*u = -4*v + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) 0.04 (c) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(-1\/2)*t)*t))\/t**(-1\/3))\/(t**(2\/27)\/(t\/(t*t**0))) assuming t is positive.\nAnswer: t**(95\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 + -38. Let s = 158 + n. Solve s*c + 11 = -d + c, -3*c - 17 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 661. Let u = p + -566.000124. What is u rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*i**3 - 60*i**3 + 67*i**3 + (12 - 4 + 3)*(-3 + 0 + 4)*(-1 + 1 - 1)*(4 - 6 + 1)*(-i**3 + 0*i + 0*i).\nAnswer: 78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819648.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 23*n**2 + 18*n - 44. Calculate g(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*g + v + 24, 16 = 4*v. Let p be (g\/6 - 1)\/((-9)\/24). Solve 2*o - 26 = -p*a, -4*o + 4*a - 8 = -0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -23*w + 2. What is the units digit of m(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 - 4*x - 2. Let f be r(3). What is the highest common divisor of f and 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, -1.3, -0.184, -3?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.63, -3, -4, -2\/15?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2099142, 2099140, 2099138, 2099136, 2099134?\n\"Answer: -2*g + 2099144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/31 <= 1193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 7. Let u = -53.45 - s. What is u rounded to one decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 631071423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1313 divided by 6\nAnswer: -1313\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.92457cm to millimeters.\nAnswer: 689.2457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17028 - 408595\/24. Let j = 8971 - 53951\/6. Find the common denominator of t and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.73036kg in milligrams?\nAnswer: 49730360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:41 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1191 + 2722*r - 1191 to u + i*r and give i.\nAnswer: 2722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -724 by 14892.\nAnswer: -181\/3723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - 1*(-4)\/2. Let h be (-70)\/(-21)*(-12)\/(-10). Let d be h\/2 + 8\/o. What is d rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 163 + 167 = 0. Let c(k) = 2*k**3 - k**2 + 4*k - 4. Let n(s) = -s**3 + s**2 - 5*s + 5. Determine l*n(y) - 5*c(y).\nAnswer: -6*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 2, 15.\nAnswer: -4, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5 - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -746*x + 163366. What is f(219)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 435, 760?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p**2*x**3 + 5*p**2 + 3*p + 534*x**3 - 377 wrt x.\nAnswer: -21*p**2*x**2 + 1602*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1\/6 (c) -3.6 (d) -12.8 (e) 3\/2 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*p + 145*p - 2324 = 732*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1287*n - 3*n**4 - 2 + 1 - n**2 + 1285*n + 2*n**3 as i*n + a + g*n**4 + q*n**3 + y*n**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1107*w + 141673. What is l(-128)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3138, -5923, -8708, -11493, -14278, -17063?\nAnswer: -19848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -1. Let s = -3\/14 + -1\/28. Let t(g) = g**3 - 5*g**2 + 5*g - 5. Let v be t(4). What is the third biggest value in s, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-1120))\/((-11)\/(-1))\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {m: 1, a: 1, x: 1, p: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(40)\/sqrt(5) - (sqrt(8)\/sqrt(2))\/sqrt(2)*-6)**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 + 231. Suppose -9*j + 269 = f. Let q = -12 - -36. What is the smallest common multiple of j and q?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z**5 - 60*z**4 + 8006*z**3 - 57628*z**2 + 34848*z + 14848 = 0. Calculate z.\nAnswer: -29, -2\/7, 1, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 9:12 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*b = 32, -18*i + 16*i - 5*b = 28 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:44 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9539316.\nAnswer: 2, 3, 88327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 (base 10) in base 13?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1047 = -n - 5*u, 4995 = 12*n - 7*n - 5*u. Is n > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4262.564191 to zero decimal places.\nAnswer: 4263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/153*(-36)\/(-96)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3598 or -494?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w + 16 - 5. Let q(b) = b + 1. Let i(l) = -l**3 - 17*l**2 - 18*l - 14. Let h be i(-16). Let o(y) = h - 18 - y. Determine w*o(a) + q(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*k**4 - 4750179*k - 594489336.\nAnswer: -212*k**3 - 4750179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:00 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/759926287 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31387242 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609.6 rounded to the nearest 10?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13843 + -13726. What is the remainder when 1056 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - (-12782)\/28. Let y = -454 + m. Suppose 0*b + 0 + 2\/7*b**y = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**2*m - 2*b**2*w - 604*b**2 - b*m*w - 52001*b wrt b?\nAnswer: -22*m - 4*w - 1208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 109*f - 527. Give d(-113).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 41*u + 5*l = 53561, -3*u + 3*l = -160611. What are the prime factors of u?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/8)\/(-36))\/(221\/49062)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(2\/3)\/m)\/m)\/m**(-6))\/(m**(-2\/7))**(2\/69)*((m**9*m)\/((m\/m**(2\/9))\/m*m))\/((m\/((m**7*m*m)\/m))\/(m**(-1\/7)*m)) assuming m is positive.\nAnswer: m**(32971\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71\/11 in -4, -20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + 28 - 28 + (7*s - 43*s**2 - s**3 + 43*s**2)*(s - 2*s - 5*s).\nAnswer: 9*s**4 - 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27587 or -27589?\nAnswer: -27589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12.061 or 1?\nAnswer: 12.061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 12. Let o(i) be the first derivative of 21*i**2\/2 + 7*i - 177. Let m(a) = -10*a - 3. Calculate h*m(d) - 3*o(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011 (base 2) to base 8.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -k + 3*b, -5*k + 107 = b. Suppose 0 = -2*w + 2*f + 20, 3*w - 5*f + k = 61. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3448 divided by 1?\nAnswer: -3448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/6)*(-32)\/(-512)*-4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 = -2*m, -m - o + 20 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 760 and 1064.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 11*z**3\/4 + 2489*z**2\/4 - 5675*z - 8225 = 0.\nAnswer: -235, -14\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 13175621?\nAnswer: -13175621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 4*z + 8, -201027 = -9*z - 201045 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 - 5*a**2\/2 + 7*a + 3. Let f(g) = g**2 - 4*g + 3. What is the smallest common multiple of x(5) and f(5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-7 + 1)*21\/(-63)). Let q(m) = 2*m**3 + m + 1. Let v be q(-1). Sort z, 4, v in increasing order.\nAnswer: v, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -76, -118, -178, -262, -376, -526?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 38. What is the greatest common divisor of 60 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - s**2 + 0*s**2 + (-221*s + 108*s + 80*s)*(3*s - s - s) to l + a*s + d*s**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -5*u**2 + 1\/30*u**5 + 0*u**4 + 0*u**3 + 0*u + 0. Let i(r) = 20*r. What is i(d(b))?\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62880*m**3 - 181788*m**2 wrt m.\nAnswer: -377280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -3*q**3\/2 - 13*q**2\/2 - 5*q. Let y(l) = 5*l + 7. Let z(n) = -4*o(n) - 7*y(n). Determine z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -265 and 0.08.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 1)*-1 - -1*(sqrt(80) + sqrt(80)*2))**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*z + 7348 = -520*z + 51428 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1402 = v + 3*v, -v + 3*h = -363. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/52934 and 73\/14.\nAnswer: 52934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 3*l + 3. Let h be b(2). Suppose -h + 0 = k, -5*o + 168 = -3*k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) 2\/15 (c) -1749 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 11*q**2 - 6*q - 15. Is n(-11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3, -7.055, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n + 2 + 34*n**2 - 10 + n - 10 + 4 wrt n.\nAnswer: 68*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)*x**(-9) assuming x is positive.\nAnswer: x**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18.6 (b) 46 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Let h = 433 + -776. Let z = h + 2397\/7. What is the second biggest value in p, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88961462 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(114) - 2*sqrt(114)) + sqrt(114) + sqrt(114))*6 - sqrt(114))*-1)\/((-2*sqrt(3402))\/sqrt(7)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192642138 and 64214046.\nAnswer: 192642138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3075741646 + 3075741085.99997328. Let x = s + 560. What is x rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1626 (b) -0.4 (c) -4\/3 (d) 12\/5 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 166, -621, -1430, -2273, -3162, -4109?\n\"Answer: -2*p**3 + p**2 - 776*p + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/3 - 827*p**3 + 822278*p**2\/3 = 0.\nAnswer: 0, 394, 2087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzwzwwz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4516221 is divided by 4779?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0 - 10*t + 3 + 63*t - 5 - 1. Let c(p) = 2*p**2 - 10*p + 2. Let m be c(5). Does 13 divide o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -6.705.\nAnswer: -140.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3144 + 3089. Sort -4, -1, -0.3, h, 0.4.\nAnswer: h, -4, -1, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 25*c**3 - 2*c)*(-5*c**2 + 2*c**2 + c**2) + (-3 + 3 - c)*(-c**4 - 4*c**4 + 6*c**4) - 2*c**5 - 7*c**5 - 3*c**5.\nAnswer: 37*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 5, z: 1, m: 4}. What is prob of sequence fzfm?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 0. Suppose 12*j - c = 10*j. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/6*1530\/(-68). Let t = 265 - m. Calculate the greatest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302 + -212?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 16 + 2024*z + 56 - 2025*z - 24.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 422651906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23730 divided by 678\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9087?\nAnswer: 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-6)\/(-36) + (-19)\/6. Let o(w) = -r + 1 - w - 4 + 9*w. Let t be o(2). Are t and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3 + 55020*n**2 - 1361*n + 6.\nAnswer: 6*n + 110040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*t**3*y**4 - 2*t**3*y**2 + 132*t**3 wrt y?\nAnswer: 364*t**3*y**3 - 4*t**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 20. Suppose -4*f = f - x. Factor 2\/7 + 0*c - 2\/7*c**f.\nAnswer: -2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 121273393\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 + -3 + (-1 - (2 + 1)) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-210)*(-3)\/((-6)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**6\/60 + p**5\/20 - 8*p. Factor s(l).\nAnswer: -l**3*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 6, -1, 1 in decreasing order.\nAnswer: 6, 1, -1, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*t**3 + 68*t**3 - 126*t**3 - 18*t wrt t.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119405962 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9893 = 158*d + 1793 - 22394. Solve 4*h + 181 = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220011120010 (base 3) to base 10.\nAnswer: 2070039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*h = 283, 0*l - 85 = l - 3*h. Let u = l + 203. Let p = u + -105. What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 27*h + 1378. Let b(l) = l**2 - 10*l + 457. Give 8*b(d) - 3*f(d).\nAnswer: -d**2 + d - 478","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -724056 - -2?\nAnswer: -724054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -4*o - 160, -2*t - 4*o + 56 = 0. What is the greatest common factor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359214 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(2\/3)\/f)\/f*f*f**(-2)*f*f)**28 assuming f is positive.\nAnswer: f**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/12)\/(2\/(-8)) - -5. Solve -f*a + 0 + 2\/3*a**2 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57.6 from -1308.909.\nAnswer: -1366.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 9*k**2 + 6*k - 4. Calculate the remainder when 68 is divided by h(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2358*b - 2360*b + 5*j, -3*b = -12*j + 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2825?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y. Let b(i) = 14*i. Determine b(c(l)).\nAnswer: 140*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1240 and 3550780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:06 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/(-12))\/(((-16)\/12)\/(-2)). Suppose -c = 4*u - 39, -c + m*u + 24 = -24. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 966? (a) 8 (b) 2\/9 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.3262\nAnswer: 0.06524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 + -6.8. Let f = m + 2. Let q = -4 + 4.2. Sort q, 1, f, -5.\nAnswer: -5, q, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/3)\/t)**(1\/9))**(-4\/7))**(4\/21) assuming t is positive.\nAnswer: t**(16\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -59, -73, -87?\n\"Answer: -14*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m + 38*m + 28*m - 1249*m**2 - 96*m.\nAnswer: -1249*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 3214130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29.3 times -2\nAnswer: -58.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:16 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(60)\/(sqrt(12) + sqrt(300) + sqrt(12) + sqrt(12)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1299369, 1298952, 1298535?\nAnswer: 1298118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o. Let p be t(-2). Let b = 3 - p. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265957 is divided by 153.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/60*(920\/100 - 11). Let m be (-13)\/(-5) - 2\/(-5). Sort s, m, -0.7.\nAnswer: -0.7, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2035*s = 2482*s + 23691 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14397399 and 864.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 3, 29, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z - 6. Let u = -132 - -139. Let x(v) = -10*v + 13. Give u*n(m) + 3*x(m).\nAnswer: 5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yazy. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 68*b + 1778. What is m(20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 - 9*w**2 - 9*w + 10. What is s(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/24 + 105\/6. Solve -5*m - d + 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5495*u - 390141. Calculate c(71).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*q + 18591 - 18460 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8123 is divided by 581?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 6*g**5\/35 + g**4\/2 + 10*g**3\/21 + g**2\/7 - 55. Suppose c(d) = 0. Calculate d.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 12*m - 13*m + 2607, -5214 = -2*m - 8*c. What is the greatest common factor of m and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/(-9) - 8 - (-44)\/6. Suppose -7 - 21 = -w*f. Solve f - 9 = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 840791*d**5 - 26*d**4 + 5*d**3 - 44448296*d**2?\nAnswer: 50447460*d**2 - 624*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 5*y**3 - 4678 + 2004 - 99395.\nAnswer: -2*y**3 - 102069","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 806 + -794. Do f and -1\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 4406*z - 2215*z - 2226*z.\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*o**2 - o**2 - 1)*(68*o + 265*o + 103*o).\nAnswer: -3052*o**3 + 872*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 51. Let o be k(-28). Suppose -v - 2181 = -5*s, s + o*v - 398 - 33 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 6*t - 1. Let i be b(-4). Let f(y) = -121 + 2*y - 135 + 258. Let l(k) = k + 1. Calculate i*l(s) + 4*f(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64357858.\nAnswer: 2, 89, 361561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69545 = d - 2*t + 69564, -3*t = -3*d - 39 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. What is the third derivative of w**3 + 4*w**3 - 6*w**q - w**3 - 6*w**2 wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 18*q**2 - 10*q + 7. Let z be 97\/(-11) + 7\/((-154)\/4). What is the tens digit of w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-18)*8\/310*1566\/174.\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/4 - 3*f**2\/2 - 11*f\/4 - 3\/2 = 0. What is f?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 55766140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3777 divided by 5.\nAnswer: 3777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 42*b**2 - 1. Let r be v(-1). Suppose -4*y + 27 = 3*h, 0 = y + 2*y + 2*h - 19. Suppose -2*d = -y - r. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23855291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34241 and -0.1114?\nAnswer: 34241.1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0)*(-4)\/12. Let n be (-2)\/(6\/(-4) + 1). Suppose n = -f + 3*f. Solve 3*h - f - 1 = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28726 or 28722?\nAnswer: 28722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*x + 4, 2*y + 4*x + 8 = -2*y. Solve 2*i - 3 - 3 = -2*z, y = 5*z - 4*i - 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108228 divided by -3\nAnswer: -36076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - 1\/((-504)\/15168).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -29101?\nAnswer: -29101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -312, 2, 0.119, -1?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61304093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 834 + 897*j**2 - 474 - 362 in the form w + g*j**2 + h*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - (-12 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 113025 and 113025 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(2*(0 + -2) - -3). Put 2\/13, g, 0.1, 5 in descending order.\nAnswer: 5, g, 2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65628 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 92462.56 years?\nAnswer: 1109550.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**45*((m\/m**(-1))\/m)**(1\/46))\/((m*(m*m**0\/m)\/m)**26*m**(1\/2)\/(m**(4\/9)\/m)) assuming m is positive.\nAnswer: m**(-9529\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2987 and 255519.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066 divided by -6?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1017 divide 35149343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8.4. Let j be ((-1)\/5)\/((-2)\/(-5)). Let o = -40431 + 40437. Which is the nearest to j? (a) o (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a factor of 7870756256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(475)*-5) + 1 - ((sqrt(95)\/sqrt(5) - sqrt(19))**2 + sqrt(19) + 1 - 5*sqrt(95)\/sqrt(5)).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -753604 by 188401.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 1. Let d be k(-4). Let f be d + 5 - 7\/(-1). Suppose -f + 31 = 2*o. What is the highest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179854 + 98084. What is j rounded to the nearest 1000?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 6. Let b = -2 + -3. Let v(u) be the first derivative of 5*u**2\/2 - 7*u - 2. Determine b*v(x) + 6*g(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*n + 15196, -n = -14 + 9. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2937 - 2935. Factor 2\/3*k**3 + 4\/9*k + 0 + 14\/9*k**f.\nAnswer: 2*k*(k + 2)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/f)\/f*f*f\/f**(2\/13))**22 assuming f is positive.\nAnswer: f**(-902\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957513700 divided by -25.\nAnswer: 38300548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -320201?\nAnswer: 320133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -28635708 divided by -6\nAnswer: 4772618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msmrmmlssmrsrsl. Give prob of sequence lmsm.\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puuxruxupprpbbxux. Give prob of sequence urx.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 6. Let j be q(6). Let b = 35950 + -179738\/5. Factor b*w + j*w**2 - 3\/5*w**3 + 0.\nAnswer: -3*w*(w - 2)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 23. Let v(i) = 36*i**2 + 3*i + 9. Let t(q) = 18*q**2 + q + 4. Let n(j) = c*t(j) + 4*v(j). Find the second derivative of n(x) wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23558163.\nAnswer: 3, 7852721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*s = -11, -5*j = -9*j - s + 7. Let f(m) = -21*m**2 - m + 1. Calculate f(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282 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: Expand 4*p**2 + 6*p**2 - p**2 + (15*p - 6 + 6)*(-4*p + p + p)*(51 + 97 + 32).\nAnswer: -5391*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9323831.88 rounded to the nearest 1000?\nAnswer: 9324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 22. Let c be w(-4). Sort 1, c, 5, -1 in descending order.\nAnswer: 5, c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/2, 562, 2\/11, 4\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 3807.\nAnswer: 15228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.23, 1.2, -4, -0.5, -1\/3, 2326?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 478 = -m, -5*t + 5*m + 287 = 77. Solve -4*x + 4*f + t = 0, 12*f - 5*f + 30 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 1004\nAnswer: -73\/1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -10) + -9 - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/3))**(24\/13) assuming c is positive.\nAnswer: c**(64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3*n**3 + 2*l**3*n**2 - 3198*l**3 + 3*l**2 - 28*n wrt n.\nAnswer: -6*l**3*n**2 + 4*l**3*n - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2963*a + 11 + 26 - 37.\nAnswer: -2963*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 18, 20, 20, 18?\n\"Answer: -l**2 + 7*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5015*z + 132 + 153 - 439 + 154 to o + c*z and give c.\nAnswer: -5015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 980 and 539?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41 and -2.34.\nAnswer: 38.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 870 + -869.9999371. Round w to 6 dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/(-6)*-3*2)\/1. Suppose -i*w = 15 - 169. Solve -19*h + w*h - 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 9) + 7 + -12 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 101.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235396 (base 11) to base 12.\nAnswer: 15bb38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*j**2 - 142*j**2 - 14 + 73*j**2 as a + w*j + o*j**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzrzzrzzzzzrzrzzrz. Give prob of sequence zr.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -270, -1343, -3114, -5583, -8750, -12615, -17178?\n\"Answer: -349*q**2 - 26*q + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257573 is divided by 85765.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 4*y + 6. Let d be k(3). Suppose -d*f + 6 = -3*a - a, -a = -f + 2. Suppose -2*n + n + 26 = a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose 2*l + r*l - 16 = 0. Solve l*i = 25 - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 318, 5, 0, -19, 665 in decreasing order.\nAnswer: 665, 318, 5, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -14) + (-3 - 4) - (-6 + -43 - 6)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13096 + -13093. What is the fourth biggest value in 0.021, k, 1\/6, -3, 2\/15?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2193942, 4387615, 6581286, 8774955, 10968622?\nAnswer: 13162287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than or equal to -410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*x + 12*x + 16*x**3)*(-3 + 6 - 2)*(-212 + 153 - 119) to the form t + g*x**3 + k*x + j*x**2 and give g.\nAnswer: -2848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/11, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*y + 81. What is the smallest common multiple of y and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 + 125001*u**2 + 499860*u - 3999648 = 0. Calculate u.\nAnswer: -41663, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuupupp. What is prob of sequence uu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1145 divided by -5.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times -1055\nAnswer: -3798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 26 + 47)*(6 + g + g - 5) + 568*g - 3599*g + 207*g to the form j + y*g and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -111 - 6*o + 2*o - o + 5*o - 6*o. Let b be c(-19). Solve p - 11 = -l - b*p, 3*l - 3*p = -12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 2*v. Let k be w(2). Let z(s) = -s**3 - 1. Let q(g) = -5*g**3 - 10*g**2 - 6*g - 20. Let b(u) = -q(u) + 4*z(u). Does 24 divide b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 9, j: 2, x: 3}. Give prob of sequence jbb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.4 (c) 5 (d) -1.2 (e) 5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790.6 times 0.307?\nAnswer: 1777.7142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 200252.52s?\nAnswer: 2.3177375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 232\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2079.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 101. What is the lowest common multiple of z and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 1629, -5, -0.5, 4\/7, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z - 19*z - 3246 = -101*z - 1322 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162 + 161. Let o = -6 - -8. Suppose -3*c + 1 = -2*q + 4, 0 = 4*c + 4. Sort q, o, m in descending order.\nAnswer: o, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 686463.6 and -2403647.\nAnswer: -1717183.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -112 - 479*m - 112 + 340 - 116 in the form l*m + u and give l.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 16*h**2 - 25*h + 17. Let k be g(14). Solve -k = c - 59 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8.3. Let r = 0.2 + n. Let m = -7 - -6. What is the second biggest value in r, m, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5233\/4 - -1315. Let n = 2408611\/203 - 11865. Let r = n + 30151\/1218. What is the common denominator of r and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841*r - 39298 = 73003 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603b42 (base 13) to base 16.\nAnswer: 221f66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3552203623?\nAnswer: 331, 953, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 46218 = -2*h, 0*h - 3*t = 3*h - 69315. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -95*k + 11. Let c be j(-4). Suppose 5*f = 5*q - 396 - 259, 3*q - 4*f = c. Calculate the remainder when q is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(66\/(-231))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2737853*u**3 - 2273837*u**2?\nAnswer: 16427118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2 + (1 + 3 - 3)*(0 + 0 + 2) + 4 - 5 + 0 + 6 - 3 + 8)*(-h + 7*h - 2*h).\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 2*o**7\/315 - o**6\/180 - 2*o**2. Determine n, given that l(n) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x - 14. Let l be x*1\/(-2)*-2. Let m(i) be the third derivative of i**4\/24 - 2*i**3\/3 - 838*i**2 - 2. Determine m(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 - -258. Suppose z = -13*g + 7*g - 36. Is g smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -13. Let y = v - -17. Let p = -4 + 8. Sort 0.2, p, y in descending order.\nAnswer: y, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (12\/16)\/(1\/20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-16\/9)\/u*u))*u**26)\/(u**6*u**(-1)) assuming u is positive.\nAnswer: u**(173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 4*b - 3. Calculate the remainder when 30*5\/75*12 is divided by u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/5)\/(11\/44*8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1002 + 992. Put -1, -3, -2, 0, o in descending order.\nAnswer: 0, -1, -2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**7\/420 - v**6\/60 + v**4\/3 + 83*v**3\/6 + 76*v**2. Let d(n) be the first derivative of p(n). Solve d(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*b + 239*b = 619*b + 5984 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a century?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.04, 4\/5, 150 in increasing order.\nAnswer: -0.04, 0.1, 4\/5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/88*6*16\/(-2). Which is smaller: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 - (2 - 1))) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7484 is divided by 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 - 117. Let r be 498 + (2 + -2 - -1). Suppose 0 = -u*j + r - 23. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a + 30 = 12 - 60. What is the nearest to 0.1 in a, 2\/87, -0.09, -4?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3503 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 1 x when three letters picked without replacement from {x: 4, z: 2, p: 1, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 - 1. Let o be q(-3). Let n = o + 67. Find the common denominator of 1\/2 and 9\/(-27) + 76\/n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c. Let z(d) = 5674*d**2 - 5*d. What is z(y(r))?\nAnswer: 22696*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 34 = -2*c, 3*r + 17*c - 11 = 2*c - 8 + 18 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - (-1 - -2)) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -3 (c) 0.2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14 + 3*t - 14. Suppose -a = -4 - 5. Let d(k) = -6*k. Give a*p(x) + 4*d(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -180164\/903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 + 2. Let m be l(2). Let i(w) = -m + 15 - w + 6. Let c be i(9). Calculate the highest common divisor of c and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 322123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**3\/3 - 148*b**2 - 16*b\/3 + 592 = 0?\nAnswer: -2, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*k + 94443 = 0, l + k = -4*k + 31469. Let q(h) = -31484 + l + 14*h. Let u(r) = -5*r. Determine u(q(p)).\nAnswer: -70*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -22, -3, 22, 53, 90, 133?\n\"Answer: 3*b**2 + 4*b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2366*f + 400983 - 400983)*(-3*f**2 + 0*f**2 + f**2) - 2*f**3 - 3*f + 3*f.\nAnswer: -4734*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 3*k. Let s be x(-3). Suppose s*t - 72 = -2*t. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 - k**3\/6 - k**2. Let w(n) = -n**2 - 2. Let b(f) = 3*r(f) - w(f). What is the first derivative of b(d) wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**6 + 5*a**5 - 6*a**4 + 15977*a**2 wrt a?\nAnswer: 600*a**3 + 300*a**2 - 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 45, -6.55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.4 (c) 203 (d) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (894\/(-2980))\/((-1)\/(-30)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 763\/(-147) + 19 - 14.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b - 1. Let c(l) = l + 1. Suppose 0 = 37*u + 52 - 15. Calculate u*c(n) - p(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -196*a + 4724. Let j be x(17). What is the highest common divisor of j and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/172 and 1\/32?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34042105 to the nearest integer?\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*k + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7174563.\nAnswer: 3, 11, 217411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/12*2 + (-4)\/(-6). Suppose -7*g + i*g = -35. Solve g = 3*d - 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 10303?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (1 + -24 - (-1 - 14 - (-430 + 403)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*h - h + 18 = 0, 3*h + 9 = 3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -896, -1660, -2934, -4718, -7012, -9816, -13130?\n\"Answer: -255*n**2 + n - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215 - 263*o**2 + 215 to f*o**2 + m + s*o and give f.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-34) - (-1098300)\/(-1428). Let a = -195 - u. Is 575 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 + -3 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 284166?\nAnswer: -284178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -1038*t + 179574 + 3\/2*t**2 = 0?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -783*r + 443.\nAnswer: -783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 127, 113, 85, 37, -37?\n\"Answer: -t**3 - t**2 - 4*t + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 3\/8, -1.07, 69.7 in increasing order.\nAnswer: -1.07, -1\/8, 3\/8, 69.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1, 1\/16, -6\/7, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248.9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -122020120?\nAnswer: -122020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51\/2 + -29. Which is the third smallest value? (a) -2 (b) g (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -19.43. Let v = y - -0.38. Round v to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2492 - 1246 + 387382*g - 1248.\nAnswer: 387382*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 0.5, -1.5, -0.0348 in descending order.\nAnswer: 2, 1, 0.5, -0.0348, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 + 3*p + 3. Let h be j(-3). Let k = h + 4. What is the smallest common multiple of 18 and k?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5856 + 0.85332. What is u rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42376\/3 + -14125. Put -17, 0.3, 63, m in increasing order.\nAnswer: -17, 0.3, m, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/((-6)\/(-32)). Let t(c) = -c**3 - 8*c**2 - c + 3. Let i be t(r). Solve 4*y - p = 19, -y = y - p - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069218 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssusu. Give prob of sequence usu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 59 and 52 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6 (b) 0.2 (c) -3 (d) 1 (e) 1065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/12 + 23\/((-1380)\/(-148275)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(12\/8)*-3. Let r(n) = n**2. Let s(a) = 5*a**2 + 3*a + 2. Let x(h) = 3*r(h) - s(h). What is x(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*h**3*m**4 - 8*h**3 - 20 wrt m?\nAnswer: -56*h**3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 20*t**2 + 18)*(-t + t - 3*t).\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-500)\/(-350) + ((-302440)\/(-18200) - 18)?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 4*y**2 + y**2)*(3*y - 3*y - y) + (30*y + 3*y**2 - 30*y)*(10 - 10 + y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 14*o + 11. Suppose -5*u = 3*x + 1, 0 = 4*u + x - 5*x + 20. Let y(l) = 7*l**2 - 33*l - 22. Let j(q) = u*y(q) - 5*a(q). Give j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12760*f - 203778. Calculate m(16).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 3673714.90902?\nAnswer: -3673724.90902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 4*o + 2. Let v be p(3). Solve 2*u = 2*k - 10, v*u - 2*k + 27 = 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211\/5 - 43. Let h be (12\/4)\/(20\/(-2)). Let u = h - 6\/5. What is the third smallest value in u, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38817688*h*r + 2*h - 29926277 wrt r.\nAnswer: 38817688*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1970761\nAnswer: -788304.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.04 * -18523\nAnswer: -74832.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-25)*1*(-462645)\/2682*(-6)\/(-9)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, z: 3, q: 5, y: 1, f: 1}. Give prob of sequence qf.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r - 0*r - 123*r - 137. Let v = -2.32 - 0.68. What is the nearest to -0.01 in 2\/13, v, r, 2\/11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 7:43 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 143. Solve n**3 + 790*n + 90 - 398*n - m*n**3 - 377*n - 20*n**2 = 0 for n.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36897 = -32*u + 134081. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -3 (b) 0.7 (c) 4 (d) 0.046 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218332094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 + 4*l + 1. Let t be c(2). Put 2, 3, t, -1 in increasing order.\nAnswer: t, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + (-2)\/(-2 + 0))*1. Let i(j) = -4*j - 38. Let z(k) = 12*k + 113. Let b(n) = h*z(n) - 8*i(n). Let u be b(-13). Which is bigger: u or 16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1152) + 0)*6 - sqrt(1152))**2*4*5*3*-6.\nAnswer: -10368000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 3 - 24)*(s + 3*s - 2*s) + 0*s - s + 0*s.\nAnswer: -67*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.7 * 2149.\nAnswer: -12249.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/4 - a**3 - 3*a**2\/2 - 1. Let g be o(-2). Let m = 9\/44 - 5\/11. What is the nearest to 0 in g, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hechhtcrrrhh. Give prob of picking 1 r and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -467*p*r**2*x - 8*p*r*x**3 - r**2*x**3 - 7555*r**2*x wrt p.\nAnswer: -467*r**2*x - 8*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 478 - -120510?\nAnswer: 121088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -163176, -326405, -489622, -652821, -815996, -979141, -1142250, -1305317?\n\"Answer: s**3 - 163236*s + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4\/4 - i**3 - i**2\/2 + 3*i - 2. Let f be c(3). Is (f - (-4 + 2)) + 44 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m + 6*m + 210 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*r = 544. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/48)\/((-7)\/(-168)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*-3*(-2 + -1*sqrt(2) - (-3*sqrt(2) + 2 + sqrt(2)))*-6)**2.\nAnswer: -145800 + 64800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -275, -3, 38, 1, 4 in decreasing order.\nAnswer: 38, 4, 3, 1, -3, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13112 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*12\/(-1242))\/(420\/(-315))*-12?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 4, 1, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, a: 6}. Give prob of sequence babb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-312)\/15)\/((-10)\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*u - u. Suppose 2*q = u*q. Suppose 36 = -q*c + 4*c. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12564)\/(-126)*21\/(9\/3). Let y be s\/14 + (-50)\/(-350). Solve -5*g - 5*z = -y, -25 = -g - g - 3*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 15. Calculate the lowest common multiple of 3 and d(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2778*i**3 + 20790 - 10021 - 10020 wrt i.\nAnswer: -8334*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 23*q - 5. Let s be g(9). Let o = s - -62. Calculate the smallest common multiple of o and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/3)*h)\/h*h)\/h**4)**(-47)\/((h**(-1\/7)*h\/(((h**4*h*h*h)\/h)\/h))\/((h**1*h)\/(h*h**(1\/4)))) assuming h is positive.\nAnswer: h**(10939\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2667044 take away 2.98?\nAnswer: -2667046.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6170 + 6162 - 12332 - 12*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(-1\/7)\/(h*h**(-12)*h*h*h**3\/h) assuming h is positive.\nAnswer: h**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36559 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: Differentiate -9*i**2 - 1353*i - 33182 wrt i.\nAnswer: -18*i - 1353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + (3 + -2 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 28 = -2*z - 14, 3*b = -2*z + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = -550 + 66 - 218 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by -2.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from ggrgggrgrrrrgrrrgrrg.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5567423 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143668*l**3*u**3 + l**3 - 57393*l with respect to u.\nAnswer: -431004*l**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -74*u - 962. Let m(o) = 26*o + 320. Give 6*b(r) + 17*m(r).\nAnswer: -2*r - 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, v: 4}. Give prob of picking 1 h and 1 v.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7073\/(-44) - 7426\/(-632).\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l + 6. Calculate k(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*12\/(-270)*50\/(-14)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -5*q - 3*p, -15*p = q - 11*p - 93. Suppose 70*v = q*v - 9. Let g(b) = b**3 - 5*b**2 + 2*b - 5. Let w be g(5). Solve -v = -w*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z + b - 19, 2*b + 10 = 2*z. Suppose -u + 4 + 0 = -2*f, -7 = f + 2*u. What is the least common multiple of z and f\/((-4 - -3) + (-2)\/(-3))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/26 and 47\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/10 + (-2)\/5. Let s = -24709 + 24708.7. What is the nearest to -0.2 in s, -3\/5, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 400*g**2 - g - g + 0*g + 0*g in the form w*g**2 + x*g + u and give w.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zls when three letters picked without replacement from znzzlnzzszs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 14. Let o be v(-6). Suppose 32 = 3*d - o. Suppose 0 = -2*a - 6 + d. Is 3 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21850, 5, -2, -5, 38 in increasing order.\nAnswer: -21850, -5, -2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from {w: 10, c: 1, r: 2, s: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32000 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h**3*k + 34*h**3 - 121307*h**2*o**3 - 3*h*k + 2*k*o - 15*o**3 - 72*o - 1320 wrt h.\nAnswer: 72*h*k + 204*h - 242614*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*sqrt(1088)*-1 + (-2*(sqrt(1088) + 1))**2*-1.\nAnswer: -4358 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-42)\/12 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 857 + 13143 = 0. Let k = a + -1535. Suppose m = 4*j - 1003, 6*j - k = j - m. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466 - 386. Let p(b) = b**2 - 4*b + 8. Let g be p(6). Suppose 3*j + 5*n - q = 0, -2*n - g = 2*n. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.05094?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68707.\nAnswer: 127, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 2}. What is prob of sequence duu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*-6 + sqrt(22)\/(sqrt(14)\/sqrt(7)).\nAnswer: -59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/20 and (-26)\/(-120) - 2\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5805 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let -323*p + 2*p**3 + 316*p + 5*p**3 - 2*p**2 + k = 0. What is p?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*24\/(-32)*4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 198640 divided by -5\nAnswer: -39728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-780)\/(-234)*((-6)\/5)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)\/h*h*h**(13\/5))\/(h\/(h*h**(-6\/5)))**(-1\/4))**(-5) assuming h is positive.\nAnswer: h**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (3 - (1 - -3)). Let l(v) = h + 1 + 0*v + 4*v + 2. List the prime factors of l(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by 11?\nAnswer: 180\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -15, -n - b + 2437 = -2*b. What are the prime factors of n?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1353 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 93414200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, y: 1}. Give prob of picking 3 e and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 228 in -1\/6, 7\/13, 3\/2, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (1 + sqrt(1300))) + sqrt(13) - -4*(sqrt(13) + 1).\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409 is divided by 2332?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/5)*k*k*k**(4\/5)*(k**(2\/7))**(-6\/5) assuming k is positive.\nAnswer: k**(93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(2\/(-6)). Let d(f) = -f**2 + 21*f + 17. Suppose -2*p = 2*w - 14 - 26, 0 = 2*p + 2. Let g be d(w). Is v greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-16)\/(m*m**(1\/21)))\/(m**(-4\/3)*m)**(-9\/2))**4 assuming m is positive.\nAnswer: m**(-1558\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1734517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5463433256 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -838189*j + 1505015?\nAnswer: -838189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*s + 24. Suppose -s*z + 2 + 2 = 0. Let q = -6.2 - -1.2. Which is the closest to z? (a) 2 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -136169, -136175, -136181?\n\"Answer: -6*b - 136163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9*m = m. Let x(y) be the second derivative of m*y**3 - 1\/8*y**5 - 1\/12*y**4 - 1\/20*y**6 + 2*y + 0 + 0*y**2. What is q in x(q) = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7015 is divided by 212?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 0 - (-53 + 125 + -60).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from jiiiijjciffjjjjjij?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 3. Let t(z) = -z**3 + 2*z**2 - 2*z + 0 - 4*z**2 + 2 - 2*z**2. Let o be t(-2). Let f(n) = -4*n - 4. What is o*f(l) - 3*a(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-47 - 0) - ((6 - 6) + 3 - 6).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 288437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f - w - 55 = 0, f + 4*w = 35. Suppose 3*s = 3 - f. Which is the second smallest value? (a) 1 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 4. Suppose -m*c + 41 + 79 = 0. Let h be ((-24)\/10)\/((-9)\/c). Solve h - 23 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -q - 0*q. Let d(k) = k**3 - 7*k**2 - 8*k - 13. Let z be d(8). Let c(l) = -9*l + 20. What is the remainder when c(z) is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1252095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 107920367870 to the nearest one million.\nAnswer: 107920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 17. Suppose q*a - 240 = -6*a. Find the first derivative of 8 + a - 31*p - 10*p + 10 wrt p.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/47))\/(m\/m**(-1\/4)))\/((m*(m**8\/m)\/m)\/((m*m**(1\/4))\/m)) assuming m is positive.\nAnswer: m**(-331\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83452620 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (3495\/20)\/((-9)\/(-24)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4037, -16151, -36349, -64631, -100997, -145447, -197981?\n\"Answer: -4042*h**2 + 12*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1481732 and 450.\nAnswer: 666779400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*b - 3355 = 119*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1256.\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clllrzlt. Give prob of sequence czt.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/357)\/((-4)\/72*3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 1, -26, 2 in ascending order.\nAnswer: -26, -6, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 4*z + 3. Let b(y) = 2*y**2 + 9*y + 6. Suppose -4 = 3*j - 31. Let m(d) = j*o(d) - 4*b(d). What is the first derivative of m(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37978203197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-1 + 5)) + 0 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1260 + 811. Let u = 736 - k. Let p = -248 - u. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(1*(sqrt(304) - (-1*sqrt(304) + 0))*5*1 + -5))**2.\nAnswer: -6400*sqrt(19) + 486805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2493455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 51931\nAnswer: 2\/51931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5246254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**4 - 198*f - 135*f**2 + 54*f - 1098 + 1098 wrt f?\nAnswer: -60*f**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 4*x - 12*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 17. What is v(-8)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (15 - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94\/9 + -233\/18. What is the second biggest value in 5, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.08 + -0.1. Let j = n - 2.98. Round j to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 - 183. Suppose 0 = 33*d - f*d + 196. Which is smaller: d or 51?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -1944\/13*o + 342\/13*o**3 + 0*o**4 - 2\/13*o**5 - 19440\/13 + 1836\/13*o**2 = 0.\nAnswer: -6, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6713 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4247, -16990, -38227, -67958, -106183?\n\"Answer: -4247*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690989 is divided by 551?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/27222 and -101\/81666?\nAnswer: 81666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -k, -k = 4*w - 0*w - 19. Is 9 a factor of k*(-6)\/54*-243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 211732?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 3*y + 3*y + (0*y + 3*y + 0*y)*(3 - 6 + 2) + (-4 + 1 - y + 2)*(2 + 1 - 2).\nAnswer: -5*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3396455?\nAnswer: 5, 47, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/13)\/((4\/(-4))\/7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/((l*l**3\/l*l)\/l))\/l*l*l))\/(l\/(l\/((l\/(l*l**(-6\/11)))\/l*l))))\/((l\/((l**10\/l)\/l))\/(l*l**6)) assuming l is positive.\nAnswer: l**(170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 4 = 21*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*y + 5, -y = -2*a - a - 20. Suppose -1605 = -y*b + 1300. Suppose -5*f + 5*j - j + b = 0, -2*f + 3*j = -238. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 5*l + 2. Let w be x(5). Let u be (-4)\/(-26) + 5\/w. Factor -1\/2*n + 0 - u*n**2.\nAnswer: -n*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/(-105)*9 + -8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1278722 divided by -1\nAnswer: 1278722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*1*(sqrt(208) + (sqrt(208) + sqrt(208) + sqrt(208) + 1 + sqrt(208))*3 + -5) + 1))**2.\nAnswer: -4160*sqrt(13) + 562532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - (-947 + 924)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 1423653?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/3)\/(4\/(-3)). Let g = -6 - -6.2. Let j = 0.5 - g. Which is the biggest value? (a) t (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 54. What is the greatest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-92)\/(-10))\/(-4*3\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -11\/2 (c) -5 (d) 3\/2 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1655.9 + -1656. Which is the nearest to -1\/3? (a) -0.05 (b) -15 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 5*o)*(-3*o + 4*o - 3*o)*(4*o**2 + 2*o**2 - 4*o**2).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*b - 203*b - 219*b - 198*b + 821*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14\/3 (b) 2\/7 (c) 6 (d) -5\/8 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -2551 in ascending order.\nAnswer: -2551, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35, -144, -265, -404, -567, -760, -989?\n\"Answer: -t**3 - 102*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-20)\/6 + -3. Let k = b - 7. What is the units digit of (23 + k)*6\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 293475?\nAnswer: 293475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 - 566134?\nAnswer: -566040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -37*t. Let l(z) be the first derivative of z**3\/3 - 26*z - 69. Let k(a) be the first derivative of l(a). Calculate k(y(q)).\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.03 + 0.03. Let y = 3.1907 - 0.1907. Let z be 5*(-12)\/(-120)*10. Which is the closest to y? (a) z (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238182276?\nAnswer: 2, 3, 47, 422309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9))**(-2\/23)\/(i*i**(6\/5))**(-3\/34) assuming i is positive.\nAnswer: i**(3819\/3910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46772352 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = n + 8, -4*n - 2*v - 32 = v. Let s be 1\/4 + (-294)\/n. Suppose 0 = 4*y - s - 19. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/27 + 8335\/45. Let x(g) = -2*g**2 - 5*g**2 + 5*g - n*g**3 - 7 - 187*g**3 + 381*g**3. Let b(a) = 5*a**3 - 4*a**2 + 3*a - 4. Give 7*b(p) - 4*x(p).\nAnswer: -p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y - 1. Let z(j) = -376*j**2. Calculate z(v(n)).\nAnswer: -63544*n**2 + 9776*n - 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 118, 140, 180, 244, 338?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 2021?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**2\/2 - 2*i - 1. List the prime factors of h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1523 = -3*r - 526, -2*r = -2*h + 1022. List the prime factors of h.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/(-1375))\/((-40)\/(-55)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, d: 7}. Give prob of picking 3 d and 1 a.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 - -5. Let w = 90 + -90. Sort -1, w, f in decreasing order.\nAnswer: w, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1176)\/980*(-2)\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 93. Find the third derivative of h - 2*h**6 + q*h**2 - 39*h**2 - h wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 173839*j. Let f(u) = 3*u. Calculate h(f(o)).\nAnswer: 521517*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/71, -3, 2\/11, 5, 0.9, -1.7 in descending order.\nAnswer: 5, 0.9, 2\/11, 6\/71, -1.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -17\/11, 0.4.\nAnswer: -17\/11, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1943153 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2400.058, -2, 4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -1\/3, 2\/27, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3564*y**2 + 3568*y**2 - 206*y + 4*y**3 - 2*y**3 - 5*y**3 in the form r + p*y**2 + w*y + c*y**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(704) + (-2*sqrt(704) - sqrt(704)) + 5)**2 + -2.\nAnswer: -256*sqrt(11) + 11278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 653431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37)\/(481\/(-1404))*(-1)\/(-4). Solve -22 = j*g - 16*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285)*2*4)\/(sqrt(320) - sqrt(5) - sqrt(5)))\/((sqrt(360)\/(2*sqrt(12)))\/(sqrt(10) - (sqrt(10) + 1*sqrt(160)))).\nAnswer: -32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3153*h*i**2 + 21*h*y**2 - 15*h*y - 2*h + 22125860*i**2*y**2 - i wrt y.\nAnswer: 42*h + 44251720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9109.\nAnswer: 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 12*r**2 - 10*r + 14. Calculate w(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 + -114. Let k(u) = 2*u - 4. Calculate the remainder when y is divided by k(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 2. Let a(n) = 64*n - 110*n + 9 + 55*n + n**2. Suppose 3*p + 4 = 5*p. What is p*a(f) - 9*h(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 3271.8038?\nAnswer: -3276.8038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 18 - 6 + 6 + (-1 + 0 + 0)*(5*l - l - 2*l).\nAnswer: -4*l + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*b*j*r - 5462*b*j - 5*b*r + 5*b + 17387*j*r + 17*j + r + 4 wrt b.\nAnswer: -6*j*r - 5462*j - 5*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387906 is divided by 111.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/2*(-6)\/4. Let l be t\/(-5)*1100\/(-8). What is l rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqbmbkkkkbjk. Give prob of picking 1 q, 1 k, 1 m, and 1 j.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-40)*h**(8\/7))**(-37) assuming h is positive.\nAnswer: h**(10064\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2242 = 5*f + u, -62*u + 1348 = 3*f - 60*u. What is the biggest value in -2, f, 5, -2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 11:31 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**2 + 49*k**2 + 5*k + 4*k**2)*(-1 - 1 + 2*k + 2*k) in the form b + r*k**2 + n*k + q*k**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3928323450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192601311 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, 27, 101, 225, 411, 671, 1017, 1461?\n\"Answer: 2*k**3 + 7*k**2 + k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003249553182 rounded to 6 dps?\nAnswer: -0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -87.24?\nAnswer: 87.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 78. Suppose -5*s = -d*u + 169 - 34, 4*u + 4*s = 76. Suppose 19*o - u*o = 0. Solve o*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c**3 + 2*c)*(-6 - 13 + 2)*(-7*c - 14*c - 13*c).\nAnswer: 1156*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934 = -91*k - 88*k - 677 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2548, -5085, -7596, -10069, -12492, -14853, -17140, -19341?\nAnswer: -21444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(-1*32\/(-4))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*p + 2 - 123*p + 347*p - 133*p.\nAnswer: -39*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 365 - 266 - 256 - 17*v. Let a be k(-10). Solve a*j = 9*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 994485*j**3 + 2983437*j**2 + 2983431*j + 994476.\nAnswer: 3*(j + 1)**3*(j + 331492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-45)\/(-10))*3. Solve 0 = 2*f + v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*k**3 - 1493*k**2 - 555278*k wrt k?\nAnswer: 258*k - 2986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33167112 divided by -2763926.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p**2 - 5*p - 3. Let s(q) be the first derivative of q**3\/3 + 3*q**2 + 11*q - 21. Let u be s(-5). Calculate a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2355771*l**4 - 140*l**3 - 2*l + 129761042 wrt l?\nAnswer: 28269252*l**2 - 840*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*c - 6\/13*c**2 + 0 - 2\/13*c**3.\nAnswer: -2*c*(c + 1)*(c + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)\/((-1)\/3). Let v be (-3 - -1*14) + -3 - (400 - 387). Put a, 4, v in decreasing order.\nAnswer: 4, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r + 23*r - 107*r as f*r + x and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.74397 decades in centuries?\nAnswer: 5.874397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1799 is divided by 290.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 2118*q**4 + 92475*q**3 + 292296*q**2 + 197700*q = 0.\nAnswer: -2, -1, 0, 50, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 4 in increasing order.\nAnswer: -18, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -62317526.\nAnswer: -62317527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from npznpsnsfynnpppfzzn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21 = 5*v + 44, -3*v + 9 = 3*w. Which is the smallest value? (a) 0.18 (b) 1 (c) w (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-28) - (70\/(-63) + 410\/315*7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -135.1. Let o = 2 - q. Which is the third smallest value? (a) o (b) 2\/49 (c) 1\/3 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 27*v**3 - 22*v + 85*v - 38*v + 3*v**2 - 24*v + 16 to the form q*v**2 + b*v**3 + c + z*v and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:41 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 36) + 2407 + -2369?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/(1\/(-4)). Suppose 0 = -2*p + i + 39, 25 = t*p + i - 20. Suppose 0 = -3*z + 5*z - 294. What is the greatest common divisor of z and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.5 + 23. Let s = h + -1.5. What is the third smallest value in s, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97 - 232?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -3*i**5\/20 - 5*i**4\/4 + 181*i**3\/3 - i**2\/2 - 3*i + 110. Find the second derivative of w(t) wrt t.\nAnswer: -18*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 373 - 131. Let o = n + -95. Suppose 0 = 3*p + 2*b - 151, -4*p + o = 5*b - 52. Is 51 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10423*j*z - 210313*j - 11*z**2 wrt z?\nAnswer: -10423*j - 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 - 6*z - 2. Let f(m) = 3*m - 13. Let b be f(6). Let g be k(b). Let y = g + 234. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000111000110 - 11100011101?\nAnswer: 10101010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from {v: 5, k: 3, b: 2, p: 7}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 16*o + 19. Give x(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45035.5 centuries to millennia.\nAnswer: 4503.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 19*i**2 + 3*i. Let n(c) = 13*c**2 + 3*c - 2. Let w(b) = -3*n(b) + 2*t(b). Calculate w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b**(2\/3)*b)**(-11\/4)\/(b**(1\/4)*b*b*(((b**(-1)*b*b)\/b)\/b)\/b*(b\/(b**(-2\/7)\/b))**(-45)) assuming b is positive.\nAnswer: b**(32705\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 204 = 2*o - 197, 2*g - 2*o = 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27784*k**2 - 4961*k.\nAnswer: -55568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6586 and 9472?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**5\/60 - 5*k**4\/8 + 22*k**3 - 158*k**2. What is the remainder when g(7) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -6 - (-23 - ((14 - -5) + 32))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f + 4. Let m be c(-4). Suppose -3*i = -3*h - m, -h = -0*i - 4*i + 44. Suppose -t - t = i. Sort t, -1, 5 in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.77729836 to 3 decimal places.\nAnswer: 4.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*o**2 - 26*k**2*o - 9*k**2 + k*o**2 + k*o + 39*o**2 - 58*o wrt k?\nAnswer: 4*o**2 - 52*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/24 + 34*m**3\/9 - 139*m**2\/12 + 35*m\/3 + 382. Factor b(x).\nAnswer: (x - 1)**2*(x + 70)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.042 - -0.016. Let g = 4.858 - u. Let j = 4.705 - g. Round j to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 100?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 162.379*9\nAnswer: 1461.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - 50\/(-18). Suppose -3*c - 42 = 2*x - c, 2*x - 3*c = -57. Let b = x - -36. Solve t*r - 7*j = -2*j - 4, -4*r - 2*j = -b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:08 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u = 60*u - 45, 11*y - 12 = -5*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 38*f**2 - 2628*f - 267. Determine b(-47).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -35*(-1)\/(-18) - (-48 - -46). Suppose 0 = -4*s + 3*h - 19, -2*s + 10 = 5*h - 13. Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 3, r: 4, h: 5, a: 3, w: 1}. What is prob of sequence hta?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -37.01. Let o = n - -42. Let v = -1006\/105 + 68\/7. What is the nearest to -2 in -0.4, o, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yhfzyh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*p + 59893*p**3 - 59913*p**3 + 215*p to t*p**2 + d + y*p + q*p**3 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 23. Let u(q) = 3*q - 8*q - 7 - 3*q. Is u(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -3. Suppose y + 3*f = 10, 2*y + 3*f + t = 11. Find the common denominator of y\/(-6)*9\/(-42) and -57\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6759 a factor of 2277424773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574597, 574642, 574687?\nAnswer: 574732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0004 and 1.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 13*m**2 + 26*m - 6. Determine o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2828376 - -12?\nAnswer: 2828388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + -1)**2*2.\nAnswer: 4*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 less than 77973?\nAnswer: 77933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 1. Let t = -7 + 9. Suppose 0 = -o - 2, -5*y + 5*o + 16 = t*o. Solve -y*f = -0*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -39. Let b be (-1)\/(-2)*4\/h. What is the closest to -0.1 in b, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1813094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.161, 9, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -27*h + 324. Let m(k) = k - 9. What is -36*m(g) - r(g)?\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-27) + 14\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 12. Let a be i(7). Let t(w) = 5*w**2 + 16*w**2 - 4*w + 10*w**2 - 5. Let o be t(a). Round o to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 32. Let w = -14 - -10. Put 5, w, j in descending order.\nAnswer: 5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 (base 12) to base 2\nAnswer: -101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 11*j = -2*y + 34, 4*y - 103 = 3*j. Solve -35*z = -y - 83 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 - 0.25944.\nAnswer: -2.05944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 645029383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y = -41*y + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -78726, -0.4, 14 in increasing order.\nAnswer: -78726, -0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*l**2*m**2*z + 28*l**2*m*z + m**2*z**2 - 13*m*z**2 wrt m.\nAnswer: -98*l**2*z + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.555037 months to centuries.\nAnswer: 0.0121291975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 8*d + 53*d - 42*d + 13*d**2 - 4*d - 60 - 5*d**2 to the form n + x*d**2 + m*d + y*d**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(sqrt(147) + 1)*5)**2.\nAnswer: 14280*sqrt(3) + 133456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 688*s**2 - 56*s - 687*s**2 + 17*s + 1376*s**2 to the form n*s + m + a*s**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1812*j + 3357*j - 1539*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15*(-50)\/(-12)*(133 + -130). Solve 0 = 4*l - i - x, -3*l = 5*i - 7*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30878 + 30928.648. Round u to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 58 = -19. Is 2\/(-11) - 96187\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y. Suppose -3*q + 4*f = -44, -5*q + 39 = f + 4. Let u(c) = c**3 - 8*c**2 + 2*c + 9. Let t be u(q). Solve -5*p + t = -y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16*f. Let t(s) = -30834726*s. Determine o(t(j)).\nAnswer: 493355616*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -7, 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28965*u - 33412*u - 217903 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (889*a - 6 - 2*a**2 + 1 - 901*a)*(a**2 + 1 - 1).\nAnswer: -2*a**4 - 12*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -16*h**2 - 34*h**2 + 48 + 10*h**3 + 124*h + 2*h**4 - 56*h**3 - 78*h = 0.\nAnswer: -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -32*d. Let w(l) = -204092*l. What is v(w(c))?\nAnswer: 6530944*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-10)*170\/(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-15))\/(((-9)\/(-24))\/((-135)\/300))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 114\/(-15) + 45\/75.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c - 31*c + 183*c + 2.\nAnswer: 196*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let u(y) = -558*y. Give u(p(z)).\nAnswer: 558*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 4}. What is prob of picking 2 c and 2 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-8 + (27 - 43) - 8).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 9 = 12. Let z(d) = 1 + i*d + 1 + 1 + 2. Give z(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 702196041 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - (31 - 34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/6 + 5*u**4\/2 + 31*u**3\/3 + 17*u**2\/3 - 21*u\/2 - 49\/6 = 0. Calculate u.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2*-1)\/(54\/2232). Let l = 58 + s. Let r(x) be the third derivative of x**5\/60 + x**4\/4 + x**3 - 25*x**2. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*sqrt(14)\/(sqrt(7)*2) - sqrt(640)\/(sqrt(60)\/sqrt(3))) + -3.\nAnswer: -sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -56\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Suppose -m = -s - 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23*a. Let l(t) = 4. Let g(f) = -f - 3. Let b(u) = -4*g(u) - 3*l(u). Give 34*b(y) - 6*w(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -35. Which is the closest to 1\/3? (a) 0.1 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/4 + n**3\/3 + 174*n**2. Let j(s) = 5*s - 3. Calculate -5*j(v) - 4*r(v).\nAnswer: -v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 2*u**3 + 7*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010101 - -1010011101000001?\nAnswer: 1010001101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by 58\nAnswer: 42\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8265, -16569, -24971, -33513, -42237, -51185, -60399?\n\"Answer: -7*z**3 - 7*z**2 - 8234*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 3*y**2 - 2*y - 1. Suppose 7 = 2*q + 3. Let r be o(q). Is r*(0\/(-3) + -159) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.13782 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*i = 103*i - 110. Solve p + 2*p - i = f, -f = 3*p - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268153778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, h: 1, l: 1, k: 2, v: 6, u: 1}. Give prob of sequence ku.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -17.7. Let q = p - 3.7. Which is bigger: q or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = 21*x - 180 + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (658692\/(-535))\/108*10\/(-6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1.4779.\nAnswer: -1.4779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x**2 + x + 6. Let c be l(0). Let s(u) be the first derivative of u**4\/4 - 5*u**3\/3 - 7*u**2\/2 - 380. What is s(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - z - 26 + 24 - 5*z**3 - 3*z**2 to the form g + q*z**2 + b*z**3 + v*z and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 388 = 2*t. Let o be 1358\/42*(8\/18 + 290\/(-45)). Is o bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -420 - -420.251. Let u = -5.3 + 5.321. Let z = w - u. What is z rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/22 - 3\/55. What is the nearest to -0.05 in 2\/5, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6699 + 12556. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*m + 8361 = 0, 3*g + m - 4996 = 3356. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16992 = 8*m. What are the prime factors of (-4)\/14 - m\/21?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipiiisbwiiiiiiiiti. Give prob of sequence ps.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 10*g**7\/21 + g**6\/15 + 5*g**3 - 79*g. What is the second derivative of b(m) wrt m?\nAnswer: 400*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 + 11*x + 11. Let b = 6 + -10. Let u(n) be the first derivative of -2*n**3\/3 - 5*n**2\/2 - 5*n + 2. What is b*g(o) - 9*u(o)?\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(((-1)\/(-3))\/((-28)\/126))*(-175)\/(-70).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**3*q**3 - 2*h**3*q**2 + h**2*q**2 - 705*h**2 - 56*h*q**3 - q**3 wrt q?\nAnswer: 30*h**3 - 336*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(-55)*((59 - -11) + -75). Solve -2\/11*k**2 + m*k - 60\/11 = 0 for k.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(833))**2 + -1.\nAnswer: 42*sqrt(17) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2 = -t, 2*t - 5*t - a = 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3)*(-564)\/(-8). Let v = i + -35. Calculate the smallest common multiple of 33 and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 379*q**2 - 1252*q + 331329. Give o(380).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 2.23.\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from krlrlqlqklskqq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x**3 + 50*x**3 - 2*x - 2*x + 2*x.\nAnswer: 3*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -14. Suppose -z = -2*z + 4, 0 = -4*g + 2*z. What is the remainder when c is divided by 2 + (28*1)\/g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8352*k**4 + 14*k**2 - 22*k + 66853810 wrt k?\nAnswer: -33408*k**3 + 28*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1083, -2111, -3131, -4149, -5171, -6203, -7251, -8321?\nAnswer: -9419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*r - 194*r + 813*r - 191*r - 227*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/7300935 and -59\/17035515.\nAnswer: 51106545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 8*t**2 + 2*t - 4. Calculate q(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*l)*(0*l + 0*l + 9*l)*(2*l**2 + 2*l**2 - 3*l**2).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/14510 and -23\/6233496?\nAnswer: 31167480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(297)*-2 - sqrt(297) - sqrt(297))\/(sqrt(121)\/(4*sqrt(99)))*-4.\nAnswer: 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(69*w - 7*w**4 - 69*w).\nAnswer: 14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(152))\/sqrt(8) + 2 + (1*sqrt(209))\/sqrt(11) + -4.\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3\/3 - 5*x**2\/2 + 4*x + 1. Let z be r(5). Suppose -y + 0*y = 2. Sort z, -1, y in descending order.\nAnswer: z, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 18*v - 9. What is the least common multiple of m(-8) and (-4)\/(-5)*10\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -58.9. Which is the third smallest value? (a) 5 (b) f (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519320.\nAnswer: 2, 3, 5, 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128265979.\nAnswer: 19, 6750841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -844, -910, -986, -1078, -1192?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.28. Let z = p + -0.02. Which is the closest to -1? (a) 1\/9 (b) 2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32b5 (base 12) in base 16?\nAnswer: 15e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1325, -2134, 5 in increasing order.\nAnswer: -2134, 5, 1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -106, -194, -304, -436?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63847.\nAnswer: 7, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8583981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.37*297\nAnswer: 406.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-4941)\/(-1659)) - -1. Let f = 439\/1647 + v. Find the common denominator of f and (-1 + 22\/(-6))*1 + -3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 24.9. Let a = 3.9 + i. Sort -1\/4, -3\/2, a in ascending order.\nAnswer: -3\/2, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Let f(w) = -7 + u + 4*w - 2*w - 4*w. What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.111 * 358.\nAnswer: 397.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - (-174)\/(-10). Let x(g) = -g - 8. Let j(i) = -3*i - 23. Let y(h) = v*x(h) + 6*j(h). What is y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2096 - 2096.4. Let y = -0.3 - -1.3. What is the nearest to y in 0.5, 6, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + -2 + 15 + -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 <= -201\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3905*y - 907*y + 242838 = 0 for y.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose w = 3*q - 282 + 30. Let r(a) = a**2 + 16*a + 28. Let j be r(-16). Calculate the greatest common factor of j and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8237 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + g - 14 = -0*g, 4*j - g = -18. Let n be (j + 0)\/(1 + -3). Calculate the remainder when n*(14\/4 - 0) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**4\/6 + 14*d**3 - 432*d**2 + 4222*d. Suppose v(g) = 0. Calculate g.\nAnswer: 18, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 2. Let u = 33715\/2 - 16856. Which is the fourth smallest value? (a) 2\/3 (b) u (c) l (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*3*((-16)\/3)\/(-16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 37*v**2 + 2*v. Let i(r) be the second derivative of r**4\/4 - 5*r + 2. What is i(k(n))?\nAnswer: 4107*n**4 + 444*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 8. What is the remainder when 42 is divided by c(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1705*w + 4719. Let s(l) = -1690*l + 4719. Let a(t) = 4*b(t) - 5*s(t). What is the derivative of a(p) wrt p?\nAnswer: 1630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109\/7 greater than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {c: 1, y: 2, b: 7, n: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*s**4 - 7*a*s**3 + 644*a*s**2 - a wrt s.\nAnswer: 24*a*s - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(405))**2 + 0).\nAnswer: -2045 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 1. Determine y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)\/z**(2\/21)*z\/(z\/((z\/((z\/z**(-5\/3))\/z))\/z))*z\/(z\/(z**(-2)\/z*z)*z*z) assuming z is positive.\nAnswer: z**(-563\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/80 + s**3\/8 + s**2\/4 + 8*s. Factor k(w).\nAnswer: -(w - 2)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 140.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*g**3 + 5 + 9 - 2 + 9 + g to the form t*g + o*g**3 + j + u*g**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71 in 5, 95, 2\/19, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-21)\/6 - -3). Factor 14*l**3 - 17*l + 17*l + 4*l**m - 8*l**4.\nAnswer: -2*l**2*(l - 2)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 1900*b**4 - 385*b**3 + 147380*b**2 - 411100*b + 266000 = 0.\nAnswer: -10, 1, 2, 7, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 21 = -156. Let v = z + 55. Suppose 0 = 5*o + 15, 4*p - o + 5*o - 100 = 0. What is the remainder when v is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 29*k**3 - 3*k**2. Let j(z) = 290*z**3 - 29*z**2. Determine 3*j(q) - 29*y(q).\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 5:10 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15317 divided by 17?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 7*a + 4. Suppose -2*l - 24 = 2*l. Let x be d(l). Suppose 0 = -2*t + s + 5, 0 = -2*t - 3*s - s - x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {t: 1, p: 3, e: 3, h: 3, j: 1, f: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 34*y - 1. Determine n(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evev when four letters picked without replacement from jevevjejj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12726907.\nAnswer: 12726907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5677 - 5676.3. Let u = 9\/10 - 103\/70. What is the nearest to 1\/3 in s, u, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2599 or 0.161?\nAnswer: 2599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-4 - -216) - (11 - 7). Let l = p - -239. Calculate the remainder when 325 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22918.94 (b) 0.3 (c) -3\/11 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + i = -0*u + 2, -i + 2 = 0. Solve 0 = y - u - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 - -4. Let o = -5 + 6. What is the nearest to o in 0.4, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72001 and 3.5.\nAnswer: 252003.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3767, 4267, 4767, 5267, 5767?\n\"Answer: 500*z + 3267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -2*n**2 - 7*n + 14. Let f be y(3). Let p = -18 - f. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((54\/21)\/6)\/(((-10)\/4)\/((-11950)\/1434))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 10:18 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 4770*b.\nAnswer: 5*b*(b + 954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*c + 7*c. Let w(b) = b - 1. Let x be w(3). Factor -4*v + c*v**x - 19*v**2 + 8*v**2.\nAnswer: -2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -613730 and 0.131.\nAnswer: -613729.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*f - 8 = 0, -2*m + 3*f - 12 = -2*f. Let c be (m - (-2)\/1)\/(-6). Let t = 0.2 - -0.1. What is the third biggest value in t, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-2)\/20*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (28188\/(-42) - 6)*(43 + -50)?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047 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: Let g = 7 - -6. Suppose 3*i - p = 4, -33 = -i + 5*p - g. Suppose i = 5*r - 113 - 32. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(((-9)\/8)\/(21\/28))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3 + 78033*w**2 + w - 11761?\nAnswer: 6*w + 156066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 134.221.\nAnswer: -117.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.52 + -20.596. Let t = 35.7 - 0.7. Let b = t - f. What is b rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:58 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -3*j. Suppose -6 = j*q + w, 5*q - 3 = -3*w - 7. Let z(a) be the third derivative of a**5\/15 + a**4\/6 + a**3\/3 + 20*a**2. Calculate z(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4257918)\/(-1363) - 2\/(-29)?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, 5, -5, 71.3, -4\/7, -0.1?\nAnswer: 71.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2401073*q**4 + 0*q**3 + 2401048*q**4 - 10*q**3 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -6. Let j = k + -5. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 938.5605s?\nAnswer: 0.01086296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/(883\/376158)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/22)*(-24)\/(-32)*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 13 in descending order.\nAnswer: 13, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 20*v**2 + 53*v - 36. What is the remainder when b(22) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.614 - 30.114. Which is the nearest to -1? (a) -14 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 29 = 7. Let r be 156\/15 - t\/(-45). Suppose 0*j + 14 = -o - 4*j, 3*o - r = j. Let y(b) = -b**2 + 3*b - 1. What is y(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 + 13)*(8 - 2*d + 11 + 4).\nAnswer: -30*d + 345","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 + 2*a - 18. Let i be s(-5). Let d be 49 + -44 + (1 - (-1 - i)). Solve -5\/2*v - 15\/2*v**5 + 10*v**3 + 5*v**2 + 0 - 5*v**d = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*l + 4, 0 = -4*x - 4*l + 8*l - 4. Solve 9 = -3*z - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1241*o - 1235*o - 702 = 0. What is the greatest common factor of o and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (3 - 0)*(-124)\/(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16723621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67\/2 + -205\/6. Which is the smallest value? (a) 4 (b) 18 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 12*n + 4*m = -58, -3*n = -2*m + 26. Let y(j) = -1652*j - 299. Is y(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2622, -5237, -7852, -10467, -13082?\nAnswer: -15697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 3774.166\nAnswer: -1887.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*i - 4. Let r be i\/8 + 3\/(-4). Suppose -2 = -3*y + 2*y. Is r less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 + 3*v + 11. Is r(-4) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 30*f**2 - 69*f - 604. Give u(-14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 364 = 44*f. Sort 4, f, 0.\nAnswer: f, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153198 is divided by 242?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 74, -5\/261, 26 in decreasing order.\nAnswer: 74, 26, 0.07, -5\/261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x**2 - 3. Give h(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssssppspps.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 + 449 + 11*1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (990\/24)\/((-1 + 6)\/100). What is the greatest common factor of a and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efefeaeauaeeefaeeeva. What is prob of picking 2 a and 1 u?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 1 + 4*k + 0)*(121 - 301 - 161).\nAnswer: -682*k + 341","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u = 130*u + 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 7, x: 4, k: 2, h: 1, r: 2}. What is prob of sequence kkxd?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1185 and 1179?\nAnswer: 465705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*n - 5113 = -949, -5*l - 4*n - 5207 = 0. Is (l\/7)\/(-1*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {h: 2, q: 5, j: 2, t: 4}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 3258.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88726129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -52. Suppose -15*u + 14*u - 248 = q. Is 11 a factor of 2\/5 + 0 - u\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 26. Let v be l(8). Let j = 20 + v. Solve -j*s + 3*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 7*h - 30. Suppose -5*g - 1484 = -4*m, -h*m + 7*g = 2*g - 1855. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5\/2 + 8*q**4 + 36*q**3 + 35*q**2 + 13*q\/2 - 3 = 0. What is q?\nAnswer: -1, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) 0 (c) 1658 (d) 0.03 (e) 7 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 - p**2 - 3*p + 13. Let k(t) = 2*t**3 + t - 7. Let v(x) = 5*k(x) + 3*q(x). Let s be v(-12). Suppose -756 = -8*d + s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 43 = 43 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlcjq. What is prob of sequence cj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**2 + t + 5. What is the remainder when 244 is divided by v(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*o. Suppose -2*j + 3*j = o. Suppose 18 = y - j. Calculate the lowest common multiple of 4 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 6*n**2 - 255*n**3 + 525*n**3 + 2*n**2 - 239*n**3.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -15*n**2 + 2*n + 1. Let s be v(-1). Let g be (18\/24)\/((-6)\/s). Suppose g*q - 3*q = -2*q. Which is smaller: 6\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 8 = -2*n, 3*n - 3*b + 12 = 0. Let g(y) be the second derivative of y**4\/12 + 5*y**3\/6 + 2*y**2 + 2*y. What is g(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjjjjyyyqyyq. What is prob of picking 2 q and 2 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*-1 + (2 - (3 + -6)). Let r = 66.94 + -67. Let g = r + -0.04. What is the closest to 1\/4 in -3\/5, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -3) + 51\/(-6)*((-9729)\/(-391) + -25).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-14) + 0)*1502. Let m = g - 38411\/70. Find the common denominator of -40\/7 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/18 - 10*m**3\/27 - 8*m**2\/9 - 8*m\/9 - 4. Factor d(v).\nAnswer: -2*(v + 1)*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 4, u: 2, h: 6, k: 1, p: 1}. Give prob of sequence sk.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17174065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*k = -0*k - 202, -4*y + 3*k + 174 = 0. Suppose 0 = -0*z + 2*z - y. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 - -352. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 9\/13*t**2 + 0*t - 2\/39*t**3 + 17. Factor v(f).\nAnswer: -2*f*(f - 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 - -21?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1601*l + 3947*l - 1044*l)*(-4 + 4 - 2)*(l + l + l).\nAnswer: -7812*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2726250*b + 6. Let f(h) = -h**2. What is p(f(k))?\nAnswer: -2726250*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*g - i + 20, -3*g + 5*i - 16 = 0. Let c(f) = 11*f + 58. Let j(q) = -5*q - 29. Let r(x) = g*c(x) - 5*j(x). Differentiate r(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + 5 + sqrt(180) + -1*sqrt(180) + sqrt(180) - (sqrt(180) - (2 + (1 + sqrt(180) - sqrt(180))) - (-3 + -2*sqrt(180)))) + 0)**2 + 2 + -2.\nAnswer: -144*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 219274062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 20 (b) 51 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*k**(-2))\/k)\/k)**34\/(k**(-2\/7)*k\/k**(-2\/17)) assuming k is positive.\nAnswer: k**(-8191\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -220. Let n be (3\/2)\/((-12)\/(-40)). What is the highest common divisor of y and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - k - 1)*(-k**3 + 0*k**3 + 0*k**3) + 28*k**3 - 28*k**3 + 11*k**4 + (-1 + 1 - 2*k)*(2*k**3 + k**3 - 2*k**3) + 2*k**4 - k**2 + k**2.\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.560507 centuries to millennia.\nAnswer: 0.8560507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 - 5*v + 2. Determine x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715700 rounded to the nearest one thousand?\nAnswer: 716000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 380029 or 380072?\nAnswer: 380072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131528, -270129, -408730?\nAnswer: -547331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000507282 rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 24*f**2 - 25*f - 30. What is u(-23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*n - 8 - 76*n - 4*n**2 - 18*n**3 + 16*n + 10 as o + t*n + r*n**3 + j*n**2 and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 0.05151?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208 - -237. Calculate the remainder when q is divided by 42\/4 - 2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -55. Which is the third biggest value? (a) 2 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, c: 9, p: 2, q: 5}. Give prob of sequence pqpc.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, f: 2, w: 3}. What is prob of sequence fwv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -489, -1795, -3973, -7023, -10945, -15739?\nAnswer: -21405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/13, 7, 78 in ascending order.\nAnswer: 0, 2\/13, 7, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55275 = -996*z + 3239*z + 50146 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from dpppppdppppdtppttpp.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/11 + 84*o**4\/11 - 970*o**3\/11 - 27084*o**2\/11 + 27968*o\/11 = 0. What is o?\nAnswer: -46, -16, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -23*o**2 - 551*o + 28. Let f be c(-24). Solve 0 = d + 5, d + 6 = p + f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -41. Let r = a - 35. Is 0 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*x + 89*x + 2716 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22401 - -223?\nAnswer: -22123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140.875 rounded to zero decimal places?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -832.73065 to the nearest ten.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17 + 19*t - 83*t**4 + 19*t**4 + 206*t**4 - 2*t**2 wrt t.\nAnswer: 1704*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2030\/3 + -677. Let i = 1 + -1. Which is the nearest to 0.2? (a) l (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*s**2 - 18*s?\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -113*o**2 - 4*o - 6. Let a be r(-3). Let q = 20243\/20 + a. What is the common denominator of q and 50\/12*(-27)\/(-63)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-21)*(28\/3)\/(-4)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23464672 divided by -178?\nAnswer: -131824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:55 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = w + 4*t, -2*t + 78 + 75 = -31*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 + 1293548*u - 1293550 = 0.\nAnswer: -646775, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11155 + -7677. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:12 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 68*d - 1258. Give j(33).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119 plus -0.13?\nAnswer: 3118.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k**(-3\/2))\/(((k\/k**(-1\/4))\/k)\/(k\/((k*k**(3\/11))\/k))) assuming k is positive.\nAnswer: k**(527\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15) - (-192)\/(-80))*((-5404)\/(-392) + -14).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 9*x**2 + 6*x - 66. Calculate o(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 1250*p**2 + 7116*p - 527519. Calculate o(-1256).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/5271293?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -117693655837?\nAnswer: -117693655837.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65577 and -388.\nAnswer: 25443876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 58. Let b be r(9). Solve 3*p - 1 = -b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26568 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00103559655 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 101*b - 40. Let u be w(-10). Let m = -513 - u. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 427*y**3 + y + 1. Let v be a(-1). Let g be ((-4)\/(-10))\/(6*(-9)\/(-540)). Is 206*v\/(-28) + 6\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpfv when four letters picked without replacement from {v: 4, p: 4, f: 5, d: 1, h: 5}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1928 and 276204.\nAnswer: 274276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 131*k - 386. Determine m(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193076723\/1120172274 - -2\/1595687. Let t = -645 + 34829\/54. Let j = p + t. Which is the third smallest value? (a) 2\/5 (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -22*n**2 - 22. Let c(w) = -11*w**2 - 12. Let x(k) = -11*c(k) + 6*s(k). Suppose r - 5*r + 8 = 0. Let t(y) = y - y - r*y**2. Determine x(t(a)).\nAnswer: -44*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 7*r - 6. Suppose 3*i = r*z + 72 + 42, i = -z + 38. Suppose -3*k + 203 = i. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:27 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 42. Give d(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*l + 16 = 5*o - 125*l, -2*l + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.27 (c) 3 (d) -2 (e) 1\/245\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2244d3 (base 16) to base 12\nAnswer: -903817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1124 + -1124. Solve q - 3 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrjsssjsjsjssss. What is prob of sequence rsrs?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2\/4*1. Suppose 3*y + 4*w = 3, -5*w + 2 = -5*y + 7. Suppose 174*j + 128*j = 0. Put y, k, j in descending order.\nAnswer: y, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11*c = -10*c + 19410, -2*c = 5*d - 19425. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-16)*(-156)\/(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 114. Suppose m = -x, -14*f + 10*f - x = -106. Calculate the remainder when 107 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 9*a**2 - a**3 + 5*a**2 - 11*a**2 to the form h*a**2 + y*a + n*a**3 + m and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 2, 4, 1\/6.\nAnswer: -4, 1\/6, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7324 and 54930.\nAnswer: 109860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b\/b**(11\/4)))\/(b**3)**(-2\/83) assuming b is positive.\nAnswer: b**(2597\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.027 - -0.073. Suppose 6*v = 2*v. Which is the closest to -2\/7? (a) 1\/4 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126761920?\nAnswer: 2, 5, 3521131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 1 n when three letters picked without replacement from ttndottsntnvtotdttt?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*d - 0*d. Suppose -7 - d = -5*j. What is the remainder when j\/(-9) + 654\/18 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 639, -12 in descending order.\nAnswer: 639, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206269 divided by 454.\nAnswer: 206269\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*t + 236*t = 48 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*i - 177, -3*t = 227271*i - 227272*i - 67 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27859.\nAnswer: 13, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4.4. Let f = 612491\/1057290 + 1\/5422. Let r = -11\/15 + f. Sort p, 3, r.\nAnswer: r, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 202, 715, 1570, 2767?\n\"Answer: 171*n**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7902.77 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, -2\/7, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32631 + 40083 = -81*f for f.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14552 and 161891.\nAnswer: 1295128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s**(-1))**(-10\/9) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6872, -13741, -20594, -27425, -34228, -40997, -47726, -54409?\nAnswer: -61040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 12. Suppose -3*d + b = -2*d. List the prime factors of (d + 1)\/((-2)\/(-3)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -14, -64, -152, -290, -490, -764, -1124?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 c when three letters picked without replacement from ftttfcttffcc.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, 5, -14.65, 0.012 in decreasing order.\nAnswer: 5, 0.2, 0.012, -3, -14.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32018 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 4*w**2 + 0*w**2)*(0 + 1 - 7 + (1 - 2 - 1)*(3 + 0 - 2) + 0 - 3 + 1 - 4 + 6 + 0).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, 1\/9, 14, -14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -v - 21, -2*p + 4*p = -5*v + 14. Suppose 0 = -p*t + 3*t + 60. Suppose 5*y - 5 = -t. Which is the third smallest value? (a) -3 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 + 122 + 8*g**5)*(1 + 1 + 0) - 6*g**5 + g**5 + 3*g**5 + g**5 + g**5 - 3*g**5.\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 22*t - 28. Let h(o) = 2*o**2 + 43*o - 52. Let m(f) = 13*d(f) - 6*h(f). Let y be m(-30). Solve -y*u - 16 = 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (459 - 941*l - 459)*(-2 - 2 + 2).\nAnswer: 1882*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*y + 6. Let s(h) = h**2 - 3*h - 5. Let d be s(y). Suppose -d*x + i = -252, -5*x + 165 = -2*i - 84. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g + 11*g - 23*g - 2*g**3 - 2*g**2 + 29*g.\nAnswer: -2*g*(g - 3)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -0*i. Let l be (516\/60)\/(2*180\/(-50) + 7). Which is the second biggest value? (a) 0 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1035 and -83\/432?\nAnswer: 49680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.01055\nAnswer: 0.005275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9816 divided by -2\nAnswer: -4908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 0*x - 4*x)*(-9*x + 6*x - 12*x - 4*x) as h*x**2 + y + n*x and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58105904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 + 2*p - 7. Let h be z(-5). Suppose -h*x = -38 - 50. Calculate the remainder when 42 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-26))\/(477\/(-6201))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - 0 - (-1564 - -1541)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9686583712 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 7037 = 7*h + 7090, 4*m - 79 = 5*h for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + 46. Let q = z - 607\/5. Let f be (15 - 3)*(-2)\/(-6). Which is the second smallest value? (a) 1 (b) q (c) f (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21153 divided by 7051?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y - 1. Let a(g) = 2 + 4*g + 0*g + 4*g**2 + 0*g**2 - 10. Let b(s) = -a(s) + 8*i(s). Find the second derivative of b(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*c + 4 = 11, 2*g - 3 = c. Suppose -804 = -3*m - 5*j, -g*j = -3*m - 5*j + 798. What are the prime factors of m?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Suppose 2*c + 0*c - 6 = 0. Put -0.07, c, -2 in increasing order.\nAnswer: -2, -0.07, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1328613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/39)\/(17 - (-7320)\/(-432)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 + -10230?\nAnswer: -10325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6093 (base 11) to base 12.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 184*q + 2779. Let i be k(14). Solve 0 = -l - 4*x + 8*x - i, -2 = -4*l + x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124+-20\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 32*a + 5. Let z be o(1). Suppose -z*y + 51*y - 2464 = 0. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/11 and 692\/(-182) - 18\/42?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 1 + 1)*(-3 + 6*p + 3 + (2 + 3 - 3)*(93*p + 553 - 553) - 2*p + 1 - 1) to the form q*p + m*p**2 + k and give m.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6*2\/(-8)*(8 + -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 20 = 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 42. Suppose 0*p = l*n - p - 28, p = -3*n + 32. Solve -5*z - n = -30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j**2 - 38*j**3 + 24*j**2 - 51*j**2.\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/165 - 4\/((-120)\/(-26)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -42. Suppose 98 + i = 5*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 77 (b) 5413 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110076.3 litres to millilitres.\nAnswer: 110076300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 3*o**2 + 5*o + 19. Let u(s) = -2*s + 30. Let g be u(19). Is f(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.065 + 21. Let j = c + 0.023. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.03 + -0.03. Suppose 2*z = -5*w + 5*z - 19, -15 = -5*z. Which is the closest to w? (a) o (b) -3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24427.\nAnswer: 13, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386283 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-56)\/(-2)*7\/(42\/48) and 4.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 9) to base 15\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12303475?\nAnswer: 5, 181, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 89, 84, 75, 62?\n\"Answer: -2*y**2 + y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*z = -8576, -2*z - 5 + 13 = 0. What is the highest common factor of 32 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*f - f. Suppose 2*h = -5*i + 10, i - 5*h = -i + f. Solve 2*q - 4*p = 16, -i*q + 0*p - p + 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/4, 0.2.\nAnswer: -7, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6875*w - 666*w - 628*w - 8615*w as x + b*w and give b.\nAnswer: -16784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:32 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11253114 (base 7) to base 14.\nAnswer: -1ba044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j\/(j**5\/j))**(13\/7)\/(j\/(((j\/j**(-1\/3))\/j)\/j*j)*j*(j*j**(-2\/3)\/j*j)\/j*((j\/(j\/j**(-2\/5)))\/j)**(-10\/13)) assuming j is positive.\nAnswer: j**(149\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and -41\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6363333 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {i: 2, g: 5, e: 8}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54359.\nAnswer: 19, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/6)*(l*l*l**3)\/l*(l**(1\/3))**(3\/10)*(l\/(l**(1\/3)\/l))**(1\/3)*(l\/(l**2\/l))\/(l**5\/l) assuming l is positive.\nAnswer: l**(67\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15193 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 - 2150*k**3 + 31035*k**2 + 37510*k - 66400 = 0?\nAnswer: -2, 1, 16, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63207 and 14046?\nAnswer: 126414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) + 1)*1.\nAnswer: -3*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000788731 to five decimal places.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 887059, 1774119, 2661179?\n\"Answer: 887060*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/195 and 4\/3.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -80, 14, -4, 3, -1 in increasing order.\nAnswer: -80, -4, -3, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 15*a. Let u(w) be the first derivative of 7*w**3\/3 - 2*w**2 + 23. Let p(c) = -c**2 + c. Let l(m) = -4*p(m) - u(m). Determine z(l(y)).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 2. Let c be t(-2). Suppose 5*r - 3*n - 52 = -c*n, 0 = -r + 5*n + 6. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -111. Is (-317)\/(-2)*(w - 6\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2591582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 44143425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6.4 (b) 335\/2 (c) -2 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.831*5.\nAnswer: 4.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 298?\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -15*y**2 + 68*y - 10. Calculate the least common multiple of 627 and o(2).\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/37 in 4, 0.03, 1\/8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 13*k**2 + 14*k + 6. Let o = -26 + 12. Let m be p(o). What is the first derivative of 10 - f**2 + 10*f**2 + m wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*z + 974 + 929 = 5*j, 5*j + 2*z - 13 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 - f. Let j be g(-3). Suppose -v - 5*y = -3*v + 166, -3*y - 174 = -2*v. Calculate the remainder when v is divided by (-803)\/(-33) + 2\/j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukkuumkkmkummmmktmm. Give prob of picking 1 t and 2 m.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2773, 5498, 8151, 10732, 13241, 15678?\n\"Answer: -36*c**2 + 2833*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v**3 + 4*v**2 - v + 1. Let n(p) = -p**3 + p**2 + p - 1. Let l = 26 - 27. Let f(w) = l*m(w) - n(w). What is the third derivative of f(r) wrt r?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/6*2\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - 2\/((-540)\/1265). Let k = a - -134\/297. What is the common denominator of (4\/24)\/(4\/516) and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - (-11)\/2. Let v be 2\/15 + (-22)\/165. Suppose v*a - 30 = -g*a. What is the remainder when 17 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58758517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let m(q) = -244806*q**2. Determine r(m(t)).\nAnswer: 489612*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/1190*5\/(-168)*-8.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, h: 2, y: 1, f: 2}. What is prob of picking 1 f and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 211. Suppose -4*x + 2*h + 950 = 0, 0*x = -2*x - 3*h + 463. Suppose -y + x = -9. Calculate the greatest common divisor of v and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2008.9 - -882.\nAnswer: -1126.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**2\/2 + 5*q + 2. Let s be p(9). Let u = 17 + s. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127.8 - -111. Let y = 42 + -59. Let o = y - v. Is o less than or equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(20\/(-16))\/5. Suppose q - 79 = -v*q. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 3*v**3 + 15*v - 15*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 577983255 to the power of 1\/3, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -72666 and -531?\nAnswer: 72135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8959.1687 to the nearest 100.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*p + 296*p - 183*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -800325 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 984.6283t?\nAnswer: 984628.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 879532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*h = -1, -w - 2*h = -7*h + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c*c**(-2)*c)\/(c**(-2\/13)\/(c*c**(-6)*c)) assuming c is positive.\nAnswer: c**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/1*(-2)\/4. Let j(x) = x**2 - 4*x + 11. What are the prime factors of j(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1530 (base 10) to base 12.\nAnswer: a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, -1, 1\/2 in increasing order.\nAnswer: -5, -1, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -66828602 - -418?\nAnswer: -66828184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*s - 16 = 0, 5*c + 2*s = 3*c - 8. Let w(f) = -f**3 - 7*f**2 + 6*f - 8. Give w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdtituj. Give prob of sequence du.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11888.26 + -11767. What is s rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*l - 16, -3*l + 11 = -j - 10. Let y be 2*j\/(-8)*(-6)\/(-1). Solve -4*i + y*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c\/c**(1\/3)))\/(c**(-6)\/(c*c\/(c**5\/c)))*(((c\/(c*c**0))\/c)\/c)**44\/(((c*c*c\/c**(-3))\/c)\/c**(4\/5)) assuming c is positive.\nAnswer: c**(-1333\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61518 and 35.\nAnswer: -2153130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29439941.\nAnswer: 977, 30133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.5102 + -1?\nAnswer: 59.5102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*d - 5*o, 13*o = -3*d + 12*o + 25. Suppose 0 = d*f + 118 - 640. Calculate the remainder when 520 is divided by f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 6*a**2 - 52*a**2)*(-2*a**3 + a**3 - a**3).\nAnswer: 100*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 11:37 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - j - 2 = -23, -3*j = 3*x - 36. Let r(b) = 2*b**2 - 3*b**2 + 2 - 8*b + 2*b**2. What is the units digit of r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f + 8 + 5 + 7 - 6. What is the remainder when m(3) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:51 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*4*2)\/(sqrt(7) + (sqrt(63) + sqrt(1575) - sqrt(7)) + sqrt(7)))**2.\nAnswer: 539\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905 = 2*p + 3*p. Let k = -266 + p. Let g = k + -104. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a (base 11) to base 3.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89749500 - 0.04687.\nAnswer: -89749500.04687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w**3 + 0 + 0*w + 11\/12*w**5 - 7\/24*w**6 + 1\/42*w**7 + 32*w**2 - 25\/24*w**4. Factor j(v).\nAnswer: 5*v*(v - 5)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 266 - 20 = 0. What are the prime factors of ((-234)\/12)\/n*1720\/(-6)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 8390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*2)\/(-12*6\/(-48)). Let r be 86\/x - ((-11)\/(-2))\/(-11). Calculate the highest common factor of r and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -10*s**2 + 4*s - 4 + 25\/3*s**3. Factor j(y).\nAnswer: (5*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 84.6 and 31.22177.\nAnswer: 115.82177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*d + 2397 = 596*d + 434*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1364 and 496.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u - 1. Let l = 27\/10 - 11\/5. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18416 and 5296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022154 rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.71 - 5.71. Put -0.6, 14, x in increasing order.\nAnswer: x, -0.6, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1900 (base 14) to base 5.\nAnswer: -121013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-20) + (-16)\/6*3)\/((-3219)\/370)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 11*u**2 + 17*u - 61. Let j be q(6). Solve -2*k - j*v = 10, 4*v = -k - 4*k - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:26 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 756020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7308000 divided by 3000?\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(68) + -1 + sqrt(68)) - -2*(-1 + sqrt(68))) + 0 + (0 + 0 + sqrt(68) + sqrt(68) - (5 + sqrt(68) + 0 + sqrt(68) + sqrt(68) - sqrt(68))))**2 + 0.\nAnswer: -576*sqrt(17) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 64*f**2 - 200*f - 2431. What is y(60)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19424617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11420350 rounded to the nearest 10000?\nAnswer: -11420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45797788 by -738674.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*(t*t**(-2\/19))\/t*t)\/t)\/t)**13\/(t**(5\/4)*t\/((t*(t**(-15)\/t)\/t)\/t)))**31 assuming t is positive.\nAnswer: t**(-17949\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3754 - -3355?\nAnswer: 7109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.5522777.\nAnswer: 0.5522777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154015 is divided by 3000.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 3 + (4 + 0 - 2)*(3 - 3 + 1))*(4*y - 3*y + 10*y) to the form u*y + b and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f - 5. Suppose 3*d + 6 = f*d - w, -19 = -3*d + 2*w. Let c = 23 + -21. Solve -c*g = -5*o - d, -5*o + 0 = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 19 + 0*c + 15 + c + 0*c. Let v be a(-20). Is 4\/v - (-3 - 9370\/35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18359, 18362, 18365, 18368?\nAnswer: 18371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2050*k = -2056*k - 36 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3103*a**3*f**4 + 2*a**3*f**2 + 3*f**4 + 848*f**2 wrt f.\nAnswer: 74472*a**3*f + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 13 = 11*a - 8*a, 3*a + 4*s - 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 6. Let b(g) = g - 1. Let c(k) = 508*k + 7. Let v(n) = 4*b(n) - c(n). Is v(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102\/97 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 609? (a) -1\/4 (b) -1 (c) -2\/9 (d) 183538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - d + 1. Let x(r) = 7*r**2 + 2*r - 1. Let w(k) = -5*t(k) - 3*x(k). Calculate w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = -2579702*y + 2579637*y - 1013 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7303, 7318, 7359, 7438, 7567, 7758?\nAnswer: 8023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 - 6*q - 12*q**3 + 3*q**3 + 11 + 0 + 13*q to h*q**3 + f + c*q**2 + z*q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-38)*(l**3*l)\/l*l**(1\/4) assuming l is positive.\nAnswer: l**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55242, -55243, -55244, -55245, -55246, -55247?\n\"Answer: -b - 55241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32515 - -202?\nAnswer: 33121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 57120 = 27*f. Does 95 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 22172105\nAnswer: -8868842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 34*h + 76. Let y be o(-29). Let i = y - -278. List the prime factors of i.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 123858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 130?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*x + 1260 = -49*x. Let t(v) be the third derivative of 0*v + 0 + 0*v**3 + x*v**2 + 1\/12*v**4 - 1\/30*v**5. Factor t(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (-1940)\/244) + -2. Let j be -2 - -1*2727\/366. Let y = j - s. Which is bigger: 2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 3*l**2 + 66*l + 311. Calculate j(13).\nAnswer: -1535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/15, -2.8, -165?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211101221 - -2100221112?\nAnswer: 10012100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -399 - 1356. Let p = q - 109. Solve -p = 3*f + f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22161.9 + 22162. Which is smaller: o or 321?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(2\/18*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105 and -806.\nAnswer: -84630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151205?\nAnswer: 5, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in 11, -2\/7, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -5 (b) 2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3 - 2416*b**2 + 11028*b.\nAnswer: 12*b - 4832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15440 and 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**6\/30 - x**4\/8 + 8*x**3\/3 + 1. Let a(y) be the third derivative of z(y). Differentiate a(f) with respect to f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 51821?\nAnswer: 51821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*c + 6*c - 14, -5*c - 4*y = -28. Suppose 3*v = -3*d + 30, -44 = -c*d - v - 4*v. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*m**3*p**4 + 9*m**3 + 48*m**2*p**5 - 519*m**2*p**2 - 2*p wrt p.\nAnswer: -4488*m**3*p + 2880*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56704560 by 50270.\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzozzozzzo. Give prob of picking 1 o and 1 z.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.0756247?\nAnswer: -0.03024988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61112 is divided by 2037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 19*u + 108. What is b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*a - 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -99 from 539.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 - (-2912 + (1 - -7)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + u - 5*u + 108 = -r, 0 = 4*r + 2*u - 771 + 353 for r.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -79*k**3 - 4*k**2 - 6. Let v(h) = -79*h**3 - 3*h**2 - 5. Give -5*t(l) + 6*v(l).\nAnswer: -79*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 34.88986.\nAnswer: -418.67832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -924 + 550 - 2*c + 4*c in the form i + g*c and give i.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 12*c + 7. Let d be q(11). Let n be -3 + 3 + d + 9. Suppose -i + n*i = 160. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-70) - ((-2)\/10)\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v. Let t be f(1). Let a be (-3 + 2)*(t + -4). Let u = a - -11. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = 2. Suppose d + 61 = b*c - 0*c, -5*c + 4*d = -79. Solve -5*w + c = -4*u, 0 = -4*u + 5*u - 2*w + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -208, -326, -452, -586, -728, -878?\n\"Answer: -4*j**2 - 98*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 21*q + 1373. Let c(b) = 59*b + 4126. Determine 6*c(s) - 17*p(s).\nAnswer: -3*s + 1415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -5*r**9\/252 - r**5\/15 - 6*r**2. Find the third derivative of m(h) wrt h.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97389810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) 3\/2 (c) 5 (d) 0.3 (e) 1481 (f) -0.14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11195894 to the power of 1\/2, to the nearest integer?\nAnswer: 3346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 650243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*v = 186*v - 48. Let l(n) = 2*n - 12. Suppose 0 = -5*t + 11 - 31. Let b(z) = -z + 11. Let x(s) = t*b(s) + v*l(s). Give x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*h + 4, 2*h + 2*j + 4 = h. Suppose h = -z + 85 - 21. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 2*f**2 - 4*f. Let y be l(3). Suppose o + 143 = 5*b, 0*b + 146 = 5*b - 2*o. Let g(m) = -b + 0*m + 25 - m + 0*m. Determine g(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - 18704\/210. Suppose 2*r + 4*l = -221 + 53, 0 = r + 4*l + 80. Is r at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2141581 or -2141575?\nAnswer: -2141575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21*(0 - -2)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u - 8. Let o be f(6). Let l = 79 + o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5*((-6)\/2)\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 2. Let a(l) be the first derivative of -9*l**2\/2 + 63. Let j(w) = 2*a(w) + 2*f(w). Let z(s) = -23*s + 7. Calculate 5*j(o) - 3*z(o).\nAnswer: 9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 132*k**2 - 5*k - 4. Suppose -5*p + 4*p + 5*n = 28, -1 = 2*p + n. Let i be b(p). Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 285*x + 102902. Give s(-361).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134303977 is divided by 1115?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12092 + -12087. Let u(w) be the second derivative of 11*w - 17\/15*w**4 + 0 + 3\/25*w**z + 2*w**2 + 6\/5*w**3. Factor u(j).\nAnswer: 4*(j - 5)*(j - 1)*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 + 0 = 0. Let y(t) = 3 - 3 + z + 8 - t. List the prime factors of y(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 0, -196, 5, -2, -1 in increasing order.\nAnswer: -196, -2, -1, 0, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by -57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 11) to base 9.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, 2, -2\/5, -0.2, 6, 1\/510?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 10*q**2 + 128*q - 1211. Suppose -2*d - 276 = -d. Calculate the remainder when f(12) is divided by d\/(-15) - 3\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*u - 13 = -2*m, -18 = -4*m - 2*u. Solve -5*c - m*h = 11, -2*h - 2 = -c - 7*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, c: 3, x: 7, i: 2}. Give prob of sequence cxip.\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.1. Let x = i - 0.3. Which is the closest to 0? (a) -0.3 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15471, -15472, -15473, -15474, -15475?\nAnswer: -15476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g**3 + 2*g**3 + 2*g**3)*((0 - 5 + 6)*(-4 + 4 + 1) + 0 + 1 + 0 - 38 - 5 + 15) as u*g**2 + o*g + m + t*g**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:21 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 1552*f**3 + 3118*f**2 + 4668*f.\nAnswer: -2*f*(f - 3)*(f + 1)*(f + 778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drrd when four letters picked without replacement from {d: 5, r: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 77 = -5*y - 0*y, -4*y + 76 = -4*j. Let a = y - 14. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 5265*a + 21041. What is i(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9138 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 9555.\nAnswer: -1\/3185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 52 = 20*s. Let w(f) = 3*f - 6. Let b(d) = -7 + 3 - 3 + 4*d. What is s*b(h) - 5*w(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 174774823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13290*t*x**3 + 9*t*x - 4*t - 37 wrt x?\nAnswer: 79740*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-2*a - 3*a + 3*a)*(1 - 3 + 1 + (2 - 1 + 0)*(-1 + 3 + 0)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -21 + 0 + (3 - 3\/1). Let b = p - -30. Let t(w) = 11*w + 0*w - b*w. Let n(j) = 13*j**2. Determine n(t(u)).\nAnswer: 52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33963445707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.95 + -0.05. Let i = 1385.2022446 + -1368.20225. Let s = i + y. Round s to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61241 - 2434?\nAnswer: -63675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 13*i + 15316 = 0, -50*u + 5*i = -47*u - 15190. What is the smallest common multiple of 77 and u?\nAnswer: 55825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 6896*f**2 - 13798*f - 6900.\nAnswer: 2*(f - 3450)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -11 + (5 - -4) + 24031 - 0.\nAnswer: 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 31*u + 80 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*y**5 - 165*y**4 - y**3 + 37*y - 3207.\nAnswer: -800*y**3 - 1980*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from {z: 3, h: 2, q: 2, b: 5, e: 8}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 251*i + 251*i - 501*i + 2 - 2. Let y(m) = -121*m. Give r(y(f)).\nAnswer: -121*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2 - 6*h - 1. What is l(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3312800 - 3312800 - 2304*x + (3 + 2*x - 3)*(3 + 0 - 2) - x + 0*x + 0*x.\nAnswer: -2303*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2607, -2, 623 in ascending order.\nAnswer: -3, -2, 623, 2607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 5, b: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 341 + 437 = 0. Which is greater: -17 or y?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44282 is divided by 521.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzogggoogzgoo. What is prob of sequence zo?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -50615\/1343?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -19.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {c: 1, s: 1, g: 1, q: 1, u: 2, h: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a**2 + 63*a + 22. Let v(w) = 7*w**2 - 31*w - 10. Determine -6*b(m) - 13*v(m).\nAnswer: -m**2 + 25*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10814179303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 136365 (b) 0.3 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 154.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3048 is divided by 607?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {y: 9, l: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958287 to the power of 1\/2, to the nearest integer?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 108 - 109 + 0*u**3 - 26*u.\nAnswer: -3*u**3 - 26*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:12 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -236 + 238. Suppose 5*k + 4 - 24 = 0. Let z = -0.2 - -0.3. What is the nearest to z in -0.2, d, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -3 (c) 0.4 (d) -25\/3 (e) -8 (f) 134\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/45)\/((-2156)\/(-308)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p - 1440 = 25*p. Let m(j) = j**3 + 25*j**2 + 26*j + 37. Give m(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:33 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.438 - -0.238. What is the closest to -2 in f, 3, 0.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15651 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 547 - 837. Let u = 1449\/5 + a. Let i = 2.5 + -0.5. What is the fourth smallest value in -3, 1\/5, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3699 + 3801. Calculate the highest common factor of l and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 - 0.05. Let t = -158 + 158.0337. Let d = t + -0.3337. Which is the closest to -11? (a) -3 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 v when four letters picked without replacement from bsqesve?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16*h + 1. Let g(m) = 4*m + 83. Let b be -4 - 3\/(-12)*(-71 + 3). Let l be g(b). Calculate v(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1 - k + 2*k + 0 + 3. Let d be h(1). Let z be (-1 - -2) + (-6 - -1). Put z, d, 5 in descending order.\nAnswer: 5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 i when three letters picked without replacement from oozciii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 16, 29, 60, 115, 200, 321, 484?\n\"Answer: b**3 - 6*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laaalbbll. What is prob of picking 1 a and 3 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -90. Let w(i) = 33 - t*i - 21 + i**2 - 10 - 4*i. Calculate w(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2. Let j be x(-1). Let g be (-3 - (-51)\/12)*(-15 - (-1245)\/75). Is g less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164*-318638\nAnswer: 52256632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 365, 539, 709, 875?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/(9\/783). Let k = n + 34. Suppose -95 = -5*m + 6*g - 3*g, 5*g = k*m - 105. What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 10*d. Let a(n) = 6*n - 4. Let w be a(1). Suppose d = -i + 1 - 3, -4*t = -w*i - 236. What is the remainder when t is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.7 (b) 3 (c) 146638\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - q - 1 + 1 - 25*q + 34*q + 92*q + (q + 3*q - 2*q)*(-2 + 1 + 0) as i + w*q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78*i**3*k - 65*i**2*k**2 + k**2 - 3*k - 2320 wrt i?\nAnswer: -234*i**2*k - 130*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2 - 1517*q + 3038 = 0.\nAnswer: -1519, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -4569555.\nAnswer: -13708665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100, 657, 1640, 3091, 5052, 7565?\n\"Answer: 7*g**3 + 171*g**2 - 5*g - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 10*c**2 + 22*c + 84. Let u = -3 - -6. Let z(t) = -t + 0*t - u + 2. Determine 2*j(m) + 44*z(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*-1*3. Suppose g = -2*g - 9, 2*i = -3*g - 1. Suppose -2*q + 14 = 3*h - 4*h, i*q - 3*h - 32 = 0. Solve t - 3*c - 8 = 0, -q*t = v*c + 7 + 29 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*4 - -3. Suppose -w*t = -2*t + 5*q - 5, 0 = t - 5*q + 11. Is t greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*w + 115 = -3*w, -116 = -4*r + 4*w. Calculate the smallest common multiple of r and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -14. Let o = 3651 + -3652. Sort s, -2, o in increasing order.\nAnswer: -2, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + d**2 + 7*d + 1. Let a be q(3). Solve 6 = -4*v + 5*r, a*v - 13 = -v - 4*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*n - 7*m - 25, -3*n = m + 5. Suppose -3 = -3*j + 3. Suppose j*l + 10 = 7*l. Solve g - 1 - l = n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i + 1 = -83*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*a - 75, 5*i = -3*a - 2*a + 195. Let z be 1\/2*a\/30. Determine n so that 8\/3*n**2 - 8\/3*n + 0 - z*n**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 19*x - 53. Suppose -7 = -15*w - 112. Is 3 a factor of k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191 - 174. Suppose -8*k = -6 - 10. Let c be ((-2)\/(-6))\/(k*(-1)\/(-96)). Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*2\/(-68))\/((-1)\/4). Which is the second smallest value? (a) -22 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131\/822 - -1\/137. Let f be (-8)\/6 + (-6)\/(-9). Let m = -27 - -27. Which is the third smallest value? (a) f (b) n (c) m (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 846776.\nAnswer: 846776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*j - 69*j + 60*j)*(3 - 7 + 2 + (-3 + 0 + 1)*(-1 - 1 - 1)) + 0 + 0 - 2*j.\nAnswer: -266*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 - 5864*j\/3 + 8596624\/3 = 0.\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 107.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4615842 to the power of 1\/2, to the nearest integer?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 4. Let l(a) = -5171*a**3 - 4*a**2 + 1431*a - 8. Let n(x) = l(x) + 2*y(x). What is the second derivative of n(q) wrt q?\nAnswer: -31026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*s - 1 = 150*s - f, 0 = -2*s + f - 6. What is the closest to 1 in 0.7, -11, s?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67274653 divided by -4?\nAnswer: 67274653\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5\/5 + 823*z**4\/5 + 1414*z**3\/5 - 2853*z**2\/5 + 612*z\/5 = 0. What is z?\nAnswer: -204, -3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b - -392b8?\nAnswer: 3926c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -800181 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -18. Suppose 9 = 3*o - 2*r + 4*r, 3*r + m = 0. Suppose -7*x + o = -2*x. Put -3, x, 3 in decreasing order.\nAnswer: 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819175.\nAnswer: 5, 72767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48175731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4219494 and -20?\nAnswer: 4219474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 31. What is the units digit of s(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 360*p**2 - 34*p + 1. List the prime factors of l(-1).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1669, 1671, 1673, 1675, 1677?\nAnswer: 1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4272160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1387, -1397, -1413, -1435, -1463, -1497, -1537?\nAnswer: -1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1162*m + 10. What is g(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9598.\nAnswer: 2, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 28*z**2 - 117*z - 17. What are the prime factors of k(22)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -18.9. Let y = 0.08 - 0.48. Suppose -6*l - 21 = 9. Which is the closest to -1? (a) l (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.63642um in millimeters?\nAnswer: 0.03163642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/20 and 139\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*v - 31 = 0, 5*i + 15 = 4*i + 5*v. Find the second derivative of 9*x - 32*x - 6*x**4 - i*x**4 wrt x.\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62105*a + 231 = -62098*a for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**5 - 17*t**3\/3 - 3. What is the third derivative of n(y) wrt y?\nAnswer: 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.54908l in millilitres?\nAnswer: 89549.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 924 + -922. Solve 26 = z*x + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 24*s**2 - 69*s + 142. Let v be p(21). Let z(i) = i + 1. What is z(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23928\/35 or -683?\nAnswer: -23928\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -457, -487, -505, -511, -505, -487, -457?\n\"Answer: 6*k**2 - 48*k - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1595082, 1595077, 1595072, 1595067, 1595062?\n\"Answer: -5*y + 1595087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3215 or 2545?\nAnswer: 2545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 3*r + 0*r)*(1 - 1 + 1)*(2*r - r + 0*r) + (3*r - 3*r + r)*(70*r - 48*r + 81*r)*(-2 - 1 + 1) as j + q*r**2 + d*r and give q.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -37, 2, 10, 0, -2422 in decreasing order.\nAnswer: 10, 3, 2, 0, -37, -2422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d**2 - 12*d - 6. Let x(q) = -8*q**2 - 11*q - 5. Let z(m) = 6*r(m) - 7*x(m). Does 3 divide z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwuuuwuy. What is prob of sequence yuu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27661.95 months in millennia?\nAnswer: 2.3051625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -1\/2*m**4 - m - 7 - 1\/2*m**2 + 0*m**3. Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 + 21*s\/4 - 6.\nAnswer: 3*(s - 1)*(s + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43245, 43441, 43637, 43833, 44029?\n\"Answer: 196*y + 43049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4911 + 3.19494. What is s rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0 + (0 - -4). What is the second derivative of d + 2*d + 4*d**p + 0*d wrt d?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -0.03. Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 2*q + 12. Let b be o(4). Solve -5*y - 2*n = -0 + 25, -5 = y - b*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i**2 - 148*i + 11. Let d = 344 - 356. What are the prime factors of l(d)?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36974551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyy when four letters picked without replacement from {y: 3, p: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1989 - 198088496\nAnswer: -198086507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164790 and 57.\nAnswer: 3131010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 6, 0 = -4*s + 3*y - 2. Sort 2, -2, 6, s.\nAnswer: -2, s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360355?\nAnswer: 5, 73, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (-12 + (23 + -7 - -25))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-2)*(-136)\/(-187). Which is the third biggest value? (a) r (b) -1\/7 (c) 1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 12. Suppose -8*z + y*z = 0. Suppose z = w - 5*h + 109, 3*w + 0*h + 279 = 3*h. What is w rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377944 is divided by 2133.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -121 (b) -2.9 (c) 2 (d) 5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g + 142 = -43*g. Calculate the remainder when g is divided by 65.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 25, 41, 41, 19, -31?\n\"Answer: -i**3 + i**2 + 30*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j**4 + 5*j**2 + 12. Let o(t) = -7*t**4 + 4*t**2 + 13. Let y(w) = 4*a(w) - 5*o(w). What is the first derivative of y(p) wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 559336213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24191 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20945738561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*l = -347*l - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800 is divided by 385?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*v + 6, -4*g + 4 = -4*v + 28. Let j be (44\/(-33))\/((-20)\/g). Sort -4, 0, j.\nAnswer: -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/9696 and 28\/33.\nAnswer: 106656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247 + -9140\/37. Let v be 1 - (100\/55 + (-2)\/(-11)). Is a not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8230560.02 + -8230662.5579958. Let s = -102.579 - o. Let b = -0.041 - s. Round b to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 2\/7 (c) 24\/59 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19)\/(-17) - 1 - 4152380\/2720*-8?\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-6) - 10\/4) + 672.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1403292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*4*1. Let o = -24 - -23.962. Let z = o + 0.238. What is the second smallest value in z, k, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-10) + 44351\/5. Is (17\/(-2))\/17 + o\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1033\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1713138 (base 9) to base 4.\nAnswer: 3220310300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -23\/6*i**3 + 13*i + 0 + 19\/2*i**2. What is the derivative of h(n) wrt n?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -4.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 9*j**2 + 79*j - 175. Give w(14).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 33*i + 127 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 2881?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 - -163. Let c be 510\/9 + r\/15. Calculate the greatest common factor of 95 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = n - 7, -5*n + 5 = 4*g - 1. Let c(q) = q**2 - 8*q - 18. Let w be c(10). Suppose n*a - 157 = -i, -92 + 15 = -a - w*i. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/9 + 284*a**3\/9 + 2041*a**2\/3 + 3464*a - 4176 = 0. Calculate a.\nAnswer: -261, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -2. Let u(y) = -13*y - 16. Let t be u(-4). Suppose 2*s + t = -4*z, 2 = -z - z. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402, 400, 390, 366, 322, 252, 150, 10?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/4771 - -217228\/42939. Let r = 60\/13 - a. What is the common denominator of (-3)\/9 - 22\/6 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477 and 22207.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157837282*-0.1.\nAnswer: 15783728.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1900)*-4*-1)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 29\/411, -0.6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 7 + 53. Let g be -4*(-3)\/12*-2. Let c(m) = -10*m - 2. Let x be c(g). Calculate the greatest common factor of z and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11222 (base 5) in base 14?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 4*t + 12. Suppose -2*p + t*p + 1 = h, -5*h = 4*p - 14. Let 2\/5*q**h + 2\/5 + q = 0. Calculate q.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-117)\/234 + (-1285539)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjsjcjjyjjysvvyosj. What is prob of picking 1 j, 1 c, 1 o, and 1 y?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - c + 330 = 17, -5*c - 109 = -2*m. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2. Let z(f) = -17971658*f**2. Determine z(n(s)).\nAnswer: -161744922*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80654, 80653, 80652?\nAnswer: 80651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37504 - -37560. Which is smaller: q or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 16*n + 14. Let c be j(-7). Let s be (c\/(-20))\/((-4)\/(-2)). Let t(o) = o + 2. Let l be t(3). Solve l*m + 10 = -s*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 2)*(-24520 + 24520 + 404*p)*(p + 0 + 0)*(p + 3*p - 5*p) to the form l + k*p**2 + w*p + g*p**3 and give g.\nAnswer: -1616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 247527 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 16*c + 19. Let h be b(17). What is the second smallest value in h, 2\/11, 0.2, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:12 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11932 = 2014*d - 1857*d for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3*u - 9 + 27, 5*u - 15 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, -1222, 0.5 in decreasing order.\nAnswer: 0.5, 6\/13, -1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/9)\/((-28)\/(-42))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 4. Let l(g) = -g - 4. Let r(k) = -7*i(k) + 6*l(k). Suppose 0 = -6*w + w - y - 5, -3*y - 15 = -w. What is the units digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3\/5 - 381*a**2\/5 + 28464*a\/5 - 5616 = 0.\nAnswer: -180, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - -124. Let l = 18 + -18.6. Let p = 1 + l. Which is the third biggest value? (a) p (b) d (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 j, and 1 u when four letters picked without replacement from pojpujjjpooppupuu.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 148 + 136 = 0. Let m = p - 99. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 2*v + 1. What is the remainder when 36 is divided by r(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 14*l - 33. Let h be k(-15). Calculate the remainder when 75 is divided by 3\/(-9) + -2*237\/h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/9 and 35\/19764?\nAnswer: 19764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, c: 2, x: 1, l: 1, t: 8, j: 1}. Give prob of picking 1 c, 1 x, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 56*f**2 - 394*f - 340.\nAnswer: -2*(f + 1)*(f + 10)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73330350 a multiple of 745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*d = -10 - 11, -4*z + 36 = 4*d. What is the remainder when 20 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from kyyyyssysykyys?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280) - (sqrt(1280) + (2*sqrt(1280))**2 + 0)) + 2 + sqrt(1280) + 1.\nAnswer: -5117 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1426398, -2852838, -4279278, -5705718, -7132158, -8558598?\nAnswer: -9985038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*v + p = 283*v - 62485, -49988 = -4*v - 3*p. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-424)\/(-159)*3\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/20735 and 47\/69420.\nAnswer: 22144980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 4*l + 1. Let a be g(3). Let c(b) = b + 9. What is the remainder when c(a) is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(7\/(-15)) + 14)*0\/1. Factor 4\/9*d + i*d**2 + 0 - 1\/9*d**3.\nAnswer: -d*(d - 2)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 2*k - 3*k)*(3 + 1 + 0) - 4*k - 10 - 22 + 2*k + k + (-4*k - 3*k + 3*k)*(-2 + 0 + 0).\nAnswer: 15*k - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1470\/2940*(8 + -9 + -175)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvcvvcvcvcvvvccvcccc. Give prob of picking 1 v and 2 c.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -169658 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/((-27)\/2))\/((-14)\/(-39963)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-188)\/(-6) - (-4)\/6. Suppose -x + 60 = 7*m. Let k = -0.05 + 0.27. Which is the biggest value? (a) k (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/630 + c**6\/360 - 7*c**5\/180 - c**4\/72 + c**3\/3 + 47*c**2. Suppose y(q) = 0. Calculate q.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p + 4. Give h(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = 0, o - 2 = -s + 14. Does 4 divide (-75)\/s*-4 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1287967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*b = 14, 2*b = 2*s + 3*b + 9. Let k be s*2 - (-5 - -1). Suppose -24*h + 22*h = k. Solve 0*y + 16 = 4*y, h = -4*d + 4*y - 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {b: 4, z: 1, k: 1, f: 1, l: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2450)\/(-172))\/(-7) + 2. Let v = 64723337\/11029758 - -13\/85502. Let h = v + t. What is the common denominator of h and -44\/25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -853, -872, -895, -928, -977, -1048, -1147?\n\"Answer: -h**3 + 4*h**2 - 24*h - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*v + 16255*v**3 - 5372*v**3 - 5447*v**3 - 73*v - 5438*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h + 2*h + 28 - 28)*(-558 - 30*h**2 + 558).\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169550 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.630136 years?\nAnswer: 91.561632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 245, 306, 391, 500, 633, 790?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82, -148, -214, -280, -346?\n\"Answer: -66*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 44, 68, 92, 116, 140?\n\"Answer: 24*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241397 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (380 - 373 - (-22 + 0)) + -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 0*f + 1 + f + 2*f**4 - f**4 as w*f**3 + m*f**2 + y*f**4 + s + x*f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfff when four letters picked without replacement from ffrfffnrfon.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/(-8))\/((-3)\/(-16)). Let h be q\/10 - 8\/(-20). Suppose h*d - 2197 - 1039 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4033 (base 5) to base 11.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 25 + 66 + (-1 + 4 - 4)*(2 - 3 - 2))*(-11*u**3 + 11*u**3 - 3*u**5).\nAnswer: -279*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -833 + 1464. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/3, -38.\nAnswer: -38, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11) + -1 + (sqrt(704) + -1)**2.\nAnswer: -15*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1888 + -269. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*19\/(-4)*(-4)\/(-7). Solve n = -42 + o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108257722.\nAnswer: 2, 2347, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(115\/58 - 2). Let y = -19 + n. Suppose -7*f + 2*f + y = 0. Solve f*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + -5 - (-39285)\/3570. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-4))\/(2\/(-136)). Suppose -4*h - c = -7*h. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31 + 3\/(-3*1). Suppose 2*t - 2 = 3*b, -5*b - 3*t = -8*t + 10. Suppose 3*k = 3*r - d, -b*r + 17 = -0*k + k. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 23300100210?\nAnswer: 23300100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 82?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 5 = 85 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 21, -2\/7, 0.1 in decreasing order.\nAnswer: 21, 0.1, 0.04, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 17*k + 15. Suppose 5*u - 2*q - q = 4, 2*u - k*q = -6. Is (-4)\/((-8)\/37)*u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 17, 44, 71, 92, 101, 92?\n\"Answer: -x**3 + 9*x**2 + x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 - -13.95572.\nAnswer: 118.95572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -367?\nAnswer: -36.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1752*m**2*o**2 - 7133*m**2*o - 2*m*o**5 + m*o wrt o.\nAnswer: -3504*m**2 - 40*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/90 + (-22)\/(-105). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1329650)\/330513 - 6\/(-261)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16330161030 - 4?\nAnswer: 16330161023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 18*a. Suppose -286*y = -274*y. Let g(v) be the third derivative of 20*v**2 + 0*v**3 + 0 - 1\/60*v**5 + 0*v + y*v**4. Determine g(z(j)).\nAnswer: -324*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/180 and -15?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*r + 4*r + 0*r)*((3 - 3 + 2)*(r + r - 3*r) - 5*r + 5*r - r - 34*r + 67 - 67) as x*r + w + g*r**2 and give g.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/10*11\/((-77)\/70). Suppose -h*s = -3*l - 8*s + 17719, -2*l + 4*s = -11786. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let z(f) = -3*f + 3. Let c(i) = i**2 - 6*i + 15. Let o be c(8). Let w = o + -30. What is w*z(k) - 5*g(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -17*m**2\/2 + 5. Let z = -5 + 10. Let r(t) = 7*t**2 - 14*t**2 + z*t**2. What is r(y(v))?\nAnswer: -578*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -4. Let w(z) = z**2 + z - 4. Let m be w(0). Which is the nearest to t? (a) -5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4664079 is divided by 453?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3 - 2*a**3 + 0 + 0 - 15*a. Let b(m) = 5*m**3 + 29*m - 5. Let i(p) = -3*b(p) - 5*x(p). Find the second derivative of i(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 274 = 82. Let p = 1 - b. Calculate the greatest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -63581*d. Let c(l) = -24*l**2 - 2*l. Calculate c(a(y)).\nAnswer: -97021045464*y**2 + 127162*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y - 1. Let j(t) = -10*t - 1 + 5 - 8*t - 12*t**2. Let l(u) = -u**3 + 6*u**2 - u. Let d be l(6). Let c(p) = d*f(p) - j(p). Factor c(r).\nAnswer: 2*(3*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/(-12))\/7)\/((-338)\/(-26)) - 0\/7.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107861 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26) - 220\/1755*3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5178 and 43818?\nAnswer: 37814934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8294298 is divided by 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*-4*-1*1*sqrt(1300))**2.\nAnswer: 6739200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0405 - 0.0595. Which is the second smallest value? (a) -3 (b) x (c) -9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 0*j**2 + j - 8\/3*j**3 + 36. Let t(n) = 2*n. Determine d(t(m)).\nAnswer: -32*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*s - 2*n + 95, 5*n = -20. Calculate the greatest common factor of 32 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10. Suppose z + 4*z - 390 = w. Let f = 139 + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30022 + 3?\nAnswer: -30015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -296*z + 294*z - 5*c + 73, 2*z + 27*c - 183 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, b: 4, m: 3, i: 4, f: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24701\/(-136) + 12\/(-32). Let c = 38 - y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {k: 5, p: 2, q: 1, u: 7, n: 1, y: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 77\/5 of a micrometer?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -33. Let d = h - -26. Let c = 0.06 + 0.04. Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -74b4c76?\nAnswer: -74b4c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 4. Let z be p(0). Suppose -z*v - 3 = 5. What is the common denominator of -97\/4 and ((-45)\/(-21))\/(v\/(-6))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 19 = p, -3*p + p = -3*b - 24. Suppose -2*n + 3*k + 72 = 0, -5*n - 3*k + 2*k + 163 = 0. Calculate the remainder when n is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 + 5)*(2 - 6 + 2)*(-14*b - 15*b - 108*b).\nAnswer: -1644*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-546*g - 7519 + 7519)*(2 - 3 + 2)*(3 - 2 + 1)*(-5*g + 0 + 0) as p*g**2 + n*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1596, -1588, -1580, -1572, -1564?\n\"Answer: 8*p - 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pap when three letters picked without replacement from {p: 2, z: 2, a: 1, w: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/(z\/z**(-6\/5)*z)*z)\/z*z))**(-5))**(-1\/14) assuming z is positive.\nAnswer: z**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 81*z + 9. What is the units digit of s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22748168 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20\/633 + 15191\/474117. Calculate the common denominator of i and -35\/428.\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -670 + 6697. What are the prime factors of u?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3\/6 + g**2\/2 + 17*g. Determine u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 352*t. Let b(x) = 8*x**2. Calculate a(b(v)).\nAnswer: 2816*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2036 + 1.27. Let t = -81.5336 - y. Let i = t + 82. What is the closest to 1 in -2, i, 21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6780018 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 308027286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.4 in -2\/35, 49, 4, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)**38)**27*(j\/(j**(-1)*j))**(5\/2)\/(j*j**0*j)**(-1) assuming j is positive.\nAnswer: j**(4113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1675868 to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 901 - 123 = 2*r + 15*l, 2*r - 4*l = -210 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z + 10. Suppose -3*m + 160 = m. Suppose -z*w + m = -35. Calculate the remainder when 28 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213095 is divided by 304.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {d: 2, c: 1, x: 2, y: 1, h: 1, e: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5432554 is divided by 1753.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1256868 and 2556.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 106733.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:42 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 10. Let m be s(9). Let b = 3 + m. Let 2*w**2 + 3*w**3 - 2*w - 2*w**3 + w**3 - b = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155678?\nAnswer: 2, 77839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -4, -13, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000997399 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 n, and 2 t when four letters picked without replacement from {l: 1, g: 3, v: 1, t: 2, n: 6}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*v - 5*c, -3*v + 5 = c - 37. Suppose -2*l = -7*l + v. Let r = -14 + 23. Calculate the greatest common factor of r and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 2. Suppose u + 3*n = 17, 6*u + 10 = u + 4*n. Let c be r(u). Let q(o) = 4*o + 3 - 1 - 8*o. Calculate q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2 + 2*x + 1 + 0. Let c be k(-3). Let w(l) = l**3 + 3*l**2 - 3*l - 4. What is the units digit of w(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-184))\/(3\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -30*f + 16*f - 4 + 18*f. Determine q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204941*j**2 + 2331*j - 9?\nAnswer: -409882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**2 - 176921*f\/2 - 176933\/2.\nAnswer: (f + 1)*(12*f - 176933)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(1 - 7). Let g(l) = l**2 - 4*l + 4. Let y be g(4). Suppose 0 = y*n + 9 - 1. Which is the closest to n? (a) d (b) -1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + p - 11714, 4*p + 5532 + 6172 = 3*w. What is the highest common divisor of w and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/118811 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38416623?\nAnswer: 3, 7, 983, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260672894 or 260672890?\nAnswer: 260672894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + -3 - 1 - 2. Let o be (1\/i)\/(7\/28). Factor -3\/2*f**o - 24 + 12*f.\nAnswer: -3*(f - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 67. Suppose -65 = -v*b + 30*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 356155 and 1417122?\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*q - 411, 2*s - 305 - 86 = -q. Suppose s = 2*b - 334. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.4 and 402.3.\nAnswer: 400.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 47952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + f + 17, -20*j + 18409*f = 18404*f - 160 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 7. Suppose -n = -5*h + 25, -4*h + 32 - 12 = 2*n. Let g(o) = -o**2 - 10. What is h*g(v) + 7*j(v)?\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.46 - -7.512. Let s = -48 + 47.848. Let n = s + q. What is the nearest to 1\/3 in 1\/4, n, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-180))\/(-3*2\/16).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 72?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + b + 0*b + (3*b + b - 5*b)*(-1 + 2 + 0) + 5*b - 2*b + 4*b + 2*b - 4*b + b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 + 166 - 8*p + 3*p**3 - 135 - 23*p**2. Is v(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 302 + 130. Solve 4*h = 4*o + r, 2*o - 3*h = -2*o - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1942600 and 89\/88300.\nAnswer: 1942600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 8*s**2 - 10*s + 7. Let u be x(9). Let o be 8\/2 + u\/2. Let m be 2\/o + 7\/(-14). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -541145 - 0?\nAnswer: -541145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -542 - 8*m - 13*m - 8*m + 29*m - 13*m as b + f*m and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39347, -39346, -39345?\nAnswer: -39344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63396, 126916, 190436?\nAnswer: 253956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31103704.\nAnswer: 2, 3887963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/6 + 23*o**2\/6 + 20*o - 24 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00212226 rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335463 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1*(-28)\/8. Suppose 10 = 2*p - v*p. Let i = p + 5. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(42\/5)*(a**4*a)**(8\/3) assuming a is positive.\nAnswer: a**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -12. Let s = -1 + 32. Let f = s + -19. Calculate the highest common factor of d and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83.9 - 89. Let f = 3.7 + 1.3. Let t = f + n. Which is the nearest to 1\/2? (a) 4 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5115231*b**2. Let j(z) = -29*z. Calculate f(j(m)).\nAnswer: -4301909271*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*0\/6. Suppose 4*y - 6*y + 12 = h. Suppose 5*q + y = 2*q. Is -2 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2\/13 (c) -2 (d) 3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + s. Let u(k) = 9*k**3 + 3*k**2 - 6*k. What is -u(n) - 3*y(n)?\nAnswer: -9*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10267, -10268, -10271, -10276?\nAnswer: -10283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/30 + 3*b**2. Let v(j) = j**2. Let r(x) = 3*x**2. Let g(l) = -3*r(l) + 6*v(l). Determine g(n(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(168\/16) + (-2 - 3\/(-2)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-210\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -1.6. Let k = a - -1.5. Let x = k - 0.9994. What is x rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 (base 11) to base 13\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 5*u**3\/3 - 27*u**2\/2 - 23. What is the second derivative of g(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40235 is divided by 112?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10575704 take away 0?\nAnswer: -10575704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25415397663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 - 1 = 0. Let o = -8 + 11. Let j(p) = 5*p + 2 - o - 8*p. Calculate j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 40785 = -40861. Solve 2*k - v*u + 28 = 0, 3*k = -2*u + 2 - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1971*g + 1966*g - 3*n = 3938*g - 2, 0 = 5*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 3, 13, 19, 1575 in descending order.\nAnswer: 1575, 28, 19, 13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*k, 5*u - 1 = 2*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5455 = -8*p + 20583. List the prime factors of p.\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/20229, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/34 + 2*a**3\/51 - a**2\/17 - 2*a\/17 - 9. Find s, given that t(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 45\/2. Suppose -3*t = 3*i + 3, 0 = 4*i - 8*t + 9*t - 5. Which is the closest to -1? (a) -5 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -131 (c) 0.009 (d) 1\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -210002?\nAnswer: -203301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 28?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -22*t - 504. Let v be n(-28). What is the greatest common divisor of 119 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njznrbbnjjjbbz. What is prob of picking 2 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.2 (b) -35063\/5 (c) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1252 = -4*w. Let c = w - 307. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -52*z. Let d(b) = -b**2 + 266*b. What is d(c(i))?\nAnswer: -2704*i**2 - 13832*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2880 divided by -72\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 0*h**3 + 6*h**3)*(-1 - 4 - 3)*(-5790*h - 41 + 192 + 5788*h).\nAnswer: 64*h**4 - 4832*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(99)*-6 + sqrt(99))\/(sqrt(9)*3*1)*6.\nAnswer: 38*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -61\/4, -3 in decreasing order.\nAnswer: -1\/9, -3, -61\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -173007*s**2 - 60361 wrt s?\nAnswer: -346014*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-135))\/(46\/(-1518)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*k**2 + 2 - 94*k**2.\nAnswer: -101*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r - 2. Suppose 3*f = -42 - 24. Let v = -24 - f. Calculate n(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, d: 1, r: 1, j: 2, t: 2}. Give prob of sequence jtd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + 0.2. Let y = -1 + x. Let b = -342 - -341. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6034 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240*f - 5*f + 0*f**3 - 4*f + 147*f + 4*f**3 - 35*f**2 wrt f?\nAnswer: 24*f - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 140, 99, 56, 11, -36, -85, -136?\n\"Answer: -y**2 - 38*y + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505593407, 505593409, 505593411, 505593413, 505593415?\nAnswer: 505593417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 178*l**2 - 1683*l - 446. What is o(-168)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 - (-2)\/(-7). Suppose 3*b - 4*t - 26 = 0, 0 = -t - 1 - 4. Suppose b*w + 33 - 95 = v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -903 + 906. Solve -6*z = -a*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crrc when four letters picked without replacement from {r: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 - 0.68. Let s = 0.05 + u. Let q = 215.7 + -216. What is the second smallest value in s, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y. Let f(u) = -72*u - 64*u + 147*u. Give 4*f(b) - 3*q(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 212987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 65 + -3 + (2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-69)*2\/43*(-3)\/2.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1050, -1048, -1046, -1044, -1042?\n\"Answer: 2*f - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6295*a + 82253. Calculate t(13).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 1 = -3*v + 2*x, -5*v - 5*x = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {a: 7, l: 2, g: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 4*x - x + (-x - 2*x + 5*x)*(0 + 1 + 0) + x + x - 3*x - 4*x + 4*x + x + (0 + 3 - 5)*(-2*x - 4*x + 4*x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/5)*(l\/l**(4\/5))\/l*l*l**(-25)\/l*l*(l*l**7)\/l)**(-2\/129) assuming l is positive.\nAnswer: l**(54\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = 0. Suppose i*q = -q - g + 28, 0 = -q + 3*g + 20. Find the second derivative of j**5 + q*j - 16*j + 5*j**5 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-44)\/(-548)*-37)*(-1248)\/2496.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 390957.\nAnswer: 390956.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 12) to base 3\nAnswer: -121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(700))*-6 - (2*sqrt(700)*-3 + sqrt(700)).\nAnswer: -10*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, and 2 r when four letters picked without replacement from {v: 2, q: 1, t: 2, f: 3, d: 1, r: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 * 39576.\nAnswer: 2532864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) + sqrt(8)\/(sqrt(4)\/sqrt(2))) + 1*sqrt(10)\/(2*sqrt(2) - sqrt(2)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 378442 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 2*b - 1. Let k be z(-2). Suppose 0 = -5*v + 5*u - 20, 3*v + 3*u - 1 = 11. Suppose v = -3*o + 4*o + k. Do -12 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -11. Is 0 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyavvyy. Give prob of picking 2 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98.87548 kilometers?\nAnswer: 98875.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 26 - 11. Let z = 5453.8 - 5454. Which is the nearest to z? (a) m (b) 6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 13 = 13. Let b(m) = m**3 + 5*m**2 + 3*m - 5. Suppose 0 = 3*o - o + 8. Let u be b(o). Sort 1, l, u.\nAnswer: u, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:03 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7*p**(-2\/35)*p\/(p\/p**(-10))*p*p\/(p*p*(p**(1\/5)\/p*p)\/p) assuming p is positive.\nAnswer: p**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*i + 32*i = -280. Sort 11, -1, i, 2.\nAnswer: -1, 2, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 + 190. Let h be 1*(2 + -3) - -67. Calculate the remainder when (-1)\/(h\/(-65) - -1) is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1813*k + 3428*k + 2*k**2 - 1698*k - k**2.\nAnswer: k**2 - 83*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 6*s**2 + 2*s - 5. Suppose 0 = 2*n - 4*v, -3*n - 5*v + v = -20. Is x(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keejughkeheu. What is prob of picking 1 j and 1 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h. Let i(c) = -2*c**3 + 3*c. Determine -i(n) - z(n).\nAnswer: 2*n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2816016 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**2 + 1. Let d be v(-1). Let y be 1 - d\/25*5. Which is greater: 6\/19 or y?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1 + -4 + sqrt(1872) + 3)*-2.\nAnswer: -26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 258372 divided by -20\nAnswer: -64593\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0) + (7 - 3). Let h(i) = -2 - 5*i + 13*i**2 - i**2 + i**3 - 14*i**w. What is the remainder when 188 is divided by h(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbztuam. Give prob of picking 1 m, 2 t, and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1760 and 12320.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54531359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8006 (base 9) to base 3.\nAnswer: 22000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/(-90) - -4)*((-560)\/(-49))\/2.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0252221 rounded to 4 dps?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -2*(-58)\/(-4). Suppose -2*d = -5*d + b + y, -d + 7 = -2*b. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35 and -0.75.\nAnswer: 34.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (16519*(-3)\/9)\/(((-8)\/66)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 1 d when three letters picked without replacement from llllnllzd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4eed715 + -7?\nAnswer: 4eed70e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1 + -4)\/10)*1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420376 and 104?\nAnswer: 5464888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Let z = -2.5 + g. Let m = -847\/8 + 106. What is the third smallest value in -0.1, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34975 and 1900.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(275) - (2*sqrt(275) + -4)) + 0)**2.\nAnswer: -60*sqrt(11) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16 - (6 + -3)) + -3. Let n = -6 - g. Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 2*o - 12*o**2 + 1 - o**2 + 0*o - 11*o**3. Let g(b) = -b**3 + b + 1. Let q(x) = -g(x) + t(x). Find the third derivative of q(a) wrt a.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 12*c = 0. Let s = -3 - -5. Suppose 3*d - w = s*w, 5*d - w - 8 = c. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 6, 1, -11, -4\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*f**2 - 37 - 8*f**2 - 15 - 18.\nAnswer: 98*f**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*o + 19 + 12 = 0, 5*d + 2*o + 31 = 0. Suppose 0 = 4*b + 10 + 2, 59 = 2*s + b. What is the remainder when s is divided by (-2 - d\/3)*33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 82 + 136. Let c = -109 + x. Solve 10 = 5*l - c*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i. Let f(k) = -6*k - 3. What is p(f(x))?\nAnswer: 18*x + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (75\/6)\/(-5)*(-90)\/(-25). Let m be (1404\/10)\/(x\/(-30)). What is the highest common divisor of 52 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/560 and 51\/616.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 175977 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126.2 - 126. Sort -34, -4, f, -2\/5.\nAnswer: -34, -4, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 2*b)*(10 - 6 - 924*b - 8 + 4)*(-5*b**3 + 6*b**2 - 6*b**2).\nAnswer: -4620*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 11*q - 5*w - 31, -4*q + 38 = 2*w. Let j(v) = 3*v**2 - 9*v + 9. Let o be j(6). What is the highest common divisor of q and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3, -11272793, -1\/2, 0, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - -5)*-1*25\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34a + 31?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48aa + 31384?\nAnswer: 36183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(sqrt(19) - sqrt(76))*-3 + 4).\nAnswer: -72*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5)*m**3)\/(m**3*m**(-2\/17)) assuming m is positive.\nAnswer: m**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1956915387875 - 1956915387875 - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((70\/28)\/(2\/1))\/1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111101001100 - 111100?\nAnswer: -100111110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 2. Let q be f(0). Let u be (-584)\/(-36) - q\/9. Let t be 44\/u + 3\/12. Solve 0 = -8*w + 5*w + t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*972\/(-1134)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 587*h + 995 = 336*h, s - 3*h - 21 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**5\/l*l*l*l*l*l**(-2)*l*l**9\/(l**(-12)\/l) assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4916 - 4868.069. Let d = k - -0.069. Let q = 47.9999977 - d. What is q rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 15*x - 8570 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -879 or -878?\nAnswer: -878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**9\/504 + i**6\/60 + 3*i**3\/2 + 4*i**2. Let o(v) be the first derivative of k(v). Find the third derivative of o(g) wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -146*q**2 + 15*q + 86. Let x(a) = -29*a**2 - a + 1. Let f(k) = -5*x(k) + y(k). Calculate f(24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (-2 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/17)*o**(2\/3))\/(o\/o**0)**13*(o*o**(-2\/3)*(o*o**(-7))\/o)\/(o**(2\/13)*o**(-3\/4)) assuming o is positive.\nAnswer: o**(-16373\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*g, -4*p - g = 10 - 9. Suppose 1\/2*d + 1\/2*d**2 + p = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4729 (base 10) to base 2\nAnswer: 1001001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9497, -9949, -10401, -10853, -11305?\nAnswer: -11757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13858483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 252520\/194700 + (-28)\/21\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w = -w - 255869 + 254213 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + s + 129, 3*o + 0*o = 4*s - 210. Let g = -12 + 14. Let p be (o\/(-4))\/(1\/g). Calculate the highest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 13) to base 4\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + 3*f - 5*f)*(-1 - 3 + 11)*(0 + 3 - 4 + (0 + 4 - 2)*(-1 + 2 - 3)).\nAnswer: 385*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 42 = -98 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*a = -840, -2*a - 385 = 4*l - 1499. Let j = 473 - l. List the prime factors of j.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1343344, -2686708, -4030072, -5373436, -6716800, -8060164?\n\"Answer: -1343364*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 32*l**5\/15 - 121*l**3\/3 + 7*l**2 - 13. Differentiate u(h) with respect to h.\nAnswer: 256*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 138*h**2 - h + 1. Let r be p(1). Suppose 1093 = 5*o + r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888563 (base 13) in base 14?\nAnswer: 10d5779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (268100\/84260)\/((-3)\/(-66)*8)\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/5)*m*m\/(((m*m**(-3\/2)\/m)\/m)\/m))**19 assuming m is positive.\nAnswer: m**(1159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 753*a**5 + 2*a**4 + 1286*a**3 - 64185*a**2 + 3*a - 2.\nAnswer: 45180*a**2 + 48*a + 7716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 15 = 4*g. Is (g\/2)\/(1\/103) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001767 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527160 is divided by 64?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1204385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*c + 1956 = 639, -y = 4*c + 661. Let l = y + 661. Solve 0 = -p + 5*f + 22, -l*p + 2*f - 6*f = 32 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8*-2 - 11\/(-14). What is the closest to k in 4, -78, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 6)*(-d + 3*d - d) - 12*d - 2*d + 3*d)*(3 - 3 + 2*d)*(1 - 2*d - 1).\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/190*5*70\/9.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*j - 72, j + 2*j - 44 = -b. What is the remainder when 49 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -33?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 4, 38, 92, 172, 284?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3564921*m**3 - 4*m**2 + 47984388*m wrt m.\nAnswer: -21389526*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*4\/(-2). Let h(s) = 18*s + 9. Let j be h(0). What is the greatest common divisor of j and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103501 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.08? (a) -5 (b) 2 (c) 31.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258513, -258512, -258511, -258510, -258509, -258508?\nAnswer: -258507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)\/(a**(2\/15)*a)*(a*a*(a**(-2)*a*a)\/a)**(-15\/7) assuming a is positive.\nAnswer: a**(-1184\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10))**(-16) assuming a is positive.\nAnswer: a**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 102202012 (base 3) to base 11\nAnswer: 6486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(19)*2 - sqrt(228)\/(sqrt(96)\/sqrt(8)) - (-1 + 5 + (-3 + sqrt(1216))**2)).\nAnswer: -102*sqrt(19) + 2458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*a**2 - 203*a**2 - 208*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 482. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 11 = 31. Suppose -3*n - 3*q = 9, -3*n - g*q - 6 = 7. Solve -4*f + 5 - n = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1\/j**(2\/11)*((j**3*j)\/j)\/j**(-2\/7)*(j\/(j\/(j*j\/j**(-4)))*j\/(j\/((j*(j\/(j**(-3\/2)\/j))\/j)\/j)))**(3\/10) assuming j is positive.\nAnswer: j**(10247\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 27, 0, 3143, -6 in decreasing order.\nAnswer: 3143, 27, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 686 and 300811.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.946299 rounded to 0 decimal places?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103221 - -2001102?\nAnswer: 1231221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4, 4 = -4*g - t - t. Let l = -74 - -75. Suppose g = -b + 5 - l. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 379, 396, 411, 418, 411, 384, 331?\n\"Answer: -j**3 + 5*j**2 + 9*j + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1142.5711102 to zero dps.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-5670)*18)\/(((-2)\/10)\/1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -170. Let s = -345 + j. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200.33 - -202. Let p = 1.17 - v. Which is the smallest value? (a) 2\/35 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8\/10)\/(57\/570) - -47\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -130 or 23.553?\nAnswer: 23.553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 20*h**4 + 1556*h**3 - 11708*h**2 - 2098580*h - 4138200 = 0?\nAnswer: -55, -2, 171\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-10))\/((-1)\/(-5)). Suppose -10 = n*m - 1. Let b be (-2 - -10)\/(-2 - m). Solve 3*w + w = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 559 divide 1941884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2, 56?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*z + 10, -27*z - 18 = -g - 30*z. Let r(x) = -3*x**2 - 5*x - 12. Let c(d) = 2*d**2 + 4*d + 11. Calculate g*r(f) + 4*c(f).\nAnswer: -f**2 + f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -1 in ascending order.\nAnswer: -5, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 12784992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2761 - 1892. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/4))**(20\/13)\/(b**(-2\/25)*b**3\/b) assuming b is positive.\nAnswer: b**(-249\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 - 3*k**2\/2 + 7*k = 0. What is k?\nAnswer: -7\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 2*g**4 - g**5 - 2*g**5 + g**5 + 2*g**5 + (-4*g**3 + 4*g**3 - 2*g**4)*(-3 + 3 - g) - 8365*g**5 - 50*g**2 + 35*g**2 + 23*g + 8368*g**5.\nAnswer: 5*g**5 - 15*g**2 + 23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -1\/21*a**7 - a + 0*a**3 + 2\/3*a**4 + 1\/3*a**6 - 4\/5*a**5 + 0*a**2 + 0. Determine y, given that z(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 43 + 2*w + 2*w**2 in the form z*w + k + g*w**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*t**2 + 54*t**2 + 33*t**2 + 182*t**2 + 30*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -4\/9 (c) -244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 0.5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 789*y**2 + 147227*y + 15061. Calculate w(486).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhfmj. Give prob of picking 1 f and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 2*z + z + (-2 - 1 + 5)*(-4*z + 0*z + 3*z) + z - 2*z - z - 4 + 12 + 18*z - 19*z as j + b*z and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 24. Let d be -1 - b*(-8 - -4). Let y be (-2)\/2*-1*d. Calculate the highest common divisor of y and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p = -795 + 1683 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-8 + -11)) + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 1*(-4 - 0). Suppose a*z + 0*z = 0. Suppose z = -2*w + 215 - 33. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63856452*m**5 - 73169700*m**2?\nAnswer: -3831387120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p - 68 = g, 73 = -g - 2*p. Let i = 7 - g. Calculate the highest common divisor of 52 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 + 7084210*u**3 - 2509854073745*u**2 + 391407943994340*u - 15263229087842580 = 0.\nAnswer: 78, 708343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 3. Let j be a(7). Suppose 0 = j*b - 0*b - 96. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55c7 (base 15) to base 4.\nAnswer: 10130023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18100429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*l - 111921, -5997*l + 67111 = 3*s - 5993*l. What are the prime factors of s?\nAnswer: 22381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**2. Let t(z) = 4*z - 5*z - 2*z. Give t(w(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1752 and 5948040.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -4\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (28\/(-12) + -3)*(-153)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g + 4. Let r(n) = -4*n - 3. Let f(i) = 3*m(i) + 4*r(i). Let b(p) be the second derivative of 1\/3*p**3 + 0 - 2*p + 0*p**2. Calculate f(b(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*b = -4504 + 5525 - 27067 + 10926 for b.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/(-6)*6\/(-9). Let i(n) be the third derivative of -n**5\/10 + n**3\/6 + 2*n**2. Let z(j) = -j**2 - j + 1. Let k(c) = v*z(c) - i(c). Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3185351 and -3?\nAnswer: 9556053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 321?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.7 + 5.9. What is the second smallest value in m, 2\/5, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.72 - 0.35. Round h to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 12*v = -96. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130925.599 rounded to the nearest 100?\nAnswer: -130900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 39. Which is greater: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3919136423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:37 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1109 divided by 79238\nAnswer: -1109\/79238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 13*t - 9 = -x, -3*t = x - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -57696 divided by -4808\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29222 - 22597827.\nAnswer: -22627049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dc2 + -d?\nAnswer: -dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -120 or -121?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113735*0.0154.\nAnswer: -1751.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 6051?\nAnswer: 36306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45, -87, -129, -171, -213, -255?\n\"Answer: -42*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 12:38 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:11 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - -3161433?\nAnswer: 3161463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 4*-3*sqrt(84))*-2)\/(sqrt(12)*1*-6 + 1*sqrt(108)).\nAnswer: -22*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(187)*-3)\/sqrt(11) + (sqrt(102)\/((sqrt(6) + 3*sqrt(6))*6))**2 + 3.\nAnswer: -9*sqrt(17) + 1745\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 3596, 12299, 29284, 57311?\nAnswer: 99140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/13, -4\/461, -1\/2?\nAnswer: -4\/461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -20, -6 in descending order.\nAnswer: 0, -2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**2 - q + q. Let z(k) = -176 + 356 + k**2 - 180. Determine r(z(g)).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - f177fa?\nAnswer: -f177fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.8 (b) 1\/9 (c) -0.4 (d) -162 (e) -6.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 5*r + 2. Let v(w) = -4 - 8 - 9 + w**2 + 21 - 2 + 6*w. Give 4*d(g) + 3*v(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 1, t: 8, y: 1, v: 8}. Give prob of sequence wvww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Suppose -l*f + 28 = 4*t - 16, -t = -2*f + 29. Solve 0 = 5*c + 2*j - f, c - 5 = -3*c + j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y - 3*y)*(-4*y**3 + 4*y**3 - 6*y**3) - 107*y**4 + 80*y**4 - 183*y**4.\nAnswer: -222*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59671*c**5 - 26*c**4 + 3*c**2 + 547851 wrt c.\nAnswer: 3580260*c**2 - 624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2.9. Let c be 3\/(-15)*(-30)\/(-8). Which is greater: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 455, -2\/9, 33\/4 in decreasing order.\nAnswer: 455, 33\/4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 16*g**2 - 3*g**3 + 2*g**3 + 2*g**3 + 4*g**3 - 5*g**3 + (-3*g + 4*g - 3*g)*(2*g**2 + 5*g - 5*g) + 2*g - g**3 - 2*g - 6*g**3 - 26*g**3 + 5*g**3.\nAnswer: -33*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 13. What are the prime factors of 77\/3 - (-5)\/o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31676395 divided by -6335279\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16672402*f**2 + 46548761.\nAnswer: -33344804*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(22)\/(-2*sqrt(11)) + sqrt(6)\/sqrt(3) + 0 + ((sqrt(32))**2*-2 - (-2 + sqrt(18))) + -2).\nAnswer: -305 - 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 16 = 4*m. Suppose 4*v - 26 = -i + 17, 5*i + 49 = m*v. Solve -4 = -3*g + v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13986171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 + 0 + 1 - 5*r**3 - 13*r + 12*r + r**2 + 0. Let o(i) = 5*i**3 + 3*i**2 + 12*i + 3. Give -3*d(c) + o(c).\nAnswer: 2*c**3 + 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -356 - 5?\nAnswer: -35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 77294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0 (b) -2\/11 (c) 1426\/5 (d) -1\/7 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:19 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2273 or 2274?\nAnswer: 2273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -545 + 544 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:08 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5086009843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c + 0*c + (-1 + 1 + 2*c)*(5 - 2 - 1) - 4 - c + 4)*(5*c - 4*c + 2*c) + 2*c**2 + 0*c**2 + 0*c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 9*r - 18 - 27 = 0. Solve -4*a + 3*i = 11, a + 23 = -r*a - i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(78)\/sqrt(6) + 1 + 4 + ((-1 + sqrt(637))*5 - sqrt(637)))**2.\nAnswer: 32799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8915269 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18 + 1280\/70 - (-8)\/(-7). What is the closest to -2 in r, -2, 1\/3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295008927?\nAnswer: 4909, 263803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 12 + 12. Let a be -2*(-1 - 12\/(-8))*7. Let b = 16 - a. Calculate the remainder when b is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(1152) - sqrt(1152)*-1).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1492 + -1494. Which is the closest to 11\/2? (a) f (b) -3\/4 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 38*i**4 + 4722 - 9396 + 2*i**2 + 3*i + 4673 in the form y*i**4 + w*i**2 + z + h*i**3 + f*i and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/2 - 1215939*o**2\/2 + 14591484*o - 87549336 = 0.\nAnswer: -1215963, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((2 + -46 - 2) + (-39 - -45))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.634 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/3 - (-2)\/3. Suppose -5*b - 2*y - 1423 = -5913, 0 = p*b - y - 3605. Round b to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 + 418324*h**4 + 3346533*h**3 + 2091566*h**2 - 5856424*h = 0. What is h?\nAnswer: -418316, -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrrrwgwrrwwrwgrw. Give prob of sequence gg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3733682?\nAnswer: 2, 23, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.05 (b) -5 (c) -3\/4 (d) 0.4 (e) 307\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose -2*q = -p - 2, h*q = p - 5 + 13. Suppose q*d - 2*d = -5*x + 15, -2*x - 3*d - 7 = 0. Solve x = -f, -2*g + 6 = -f - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2127767 and 2525?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -1233?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 - 120. Let h = t + -145. Solve 0 = v + h*z + 3, -5*v + z - 3 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-160))\/((-4)\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658312 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*l, -4*l = -l + n - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l - 2*s - 39, s - 3 = 0. Suppose -l = -g + 4*x, 3*g - 5*x - 31 = 67. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3 + 3676*l**2 - 16*l - 14704 = 0. Calculate l.\nAnswer: -919, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypwpcatpcpaap. Give prob of picking 1 y and 1 t.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3041 - 3040.81948. Let j = d - 0.18. What is j rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 1216\/3*r + 4172\/3*r**4 + 8848\/3*r**2 + 5752*r**3 + 0 + 98\/3*r**5 = 0.\nAnswer: -38, -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -335338 - 34?\nAnswer: -335372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 3*p + 0*p - 3*p - 4*p + 4*p + (2 + 1 - 1)*(-2*p + 1 - 1) + p - 2*p + 0*p + 1 - 1 + 2*p + 7 - 4*p - 7 as b + i*p and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291, -288, -279, -264?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45129\/5 + 525888232\/58265. Let j = q - 1060405\/209754. Find the common denominator of j and -49\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 + (4 - 6) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 380*y - 5. Let v(i) = 11*i - 2. What is -u(w) + 3*v(w)?\nAnswer: -347*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u + 13. Let i(a) = 6*a - 7. Suppose 2*r = r + 7. What is r*i(s) + 4*x(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 965812 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 3:02 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1611314 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1759*b**6 - 1358*b**2 + 389157*b**3 - 389157*b**3 wrt b.\nAnswer: -211080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x**3 + 4*x**2 - 6*x + 2. Calculate i(2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 + 9147*x + 27468 = 0 for x.\nAnswer: -3, 3052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**4 - 81*q**3 - 3 + 41*q**3 + 39*q**3 + 2*q**2 to the form c*q**3 + n*q**4 + l*q + y + f*q**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 1.6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -36. Let a = 3 - 4. Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1300) + 2) + -2 + (sqrt(1573) + 0 + sqrt(1573))**2 + -3 + ((-1 + sqrt(1573))**2 + -1 - sqrt(1573)).\nAnswer: -23*sqrt(13) + 7862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*o + 6 = 81, 2*s - 3*o = 65. Calculate the remainder when 95 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 27*s - 31. Calculate l(-27).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v - 20*v + 5. Suppose 8*y - v*z = 6*y + 2305, y - 1145 = 4*z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665 = -804*c - 10840 + 1331 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-10)*(-323 + -3). Let j = b + -155. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -23, -32, -43?\n\"Answer: -j**2 - 4*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 236533?\nAnswer: 236534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 31486?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**2\/2 - 2*x + 2. Let d be i(-10). Find the common denominator of -1\/20 and (-2)\/d + (-165)\/308.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5293 less than 21918.7716?\nAnswer: 21916.2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3238*z - 3241*z + 64, -2*v + 46 = -2*z for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3 - 29314*t**2 - 214856960*t - 429596672 = 0.\nAnswer: -14656, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i = 128 + 554 + 1046. Solve -i = -x + 17*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s\/s**(-2\/19)*s)\/s)**(-9)\/(((s*s\/(s**(-1)\/s*s))\/s)\/s)**(2\/67))**(-18) assuming s is positive.\nAnswer: s**(847296\/1273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a889 (base 14) in base 8?\nAnswer: -203731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12067 is divided by 389.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1821 - -6928. Suppose 7*r - 1046 - m = 0. Suppose 0 = -3*z + r - 126. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90715*s**2 + 96683?\nAnswer: 181430*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 82 - 16 = 2*i, j = -2*i - 30. Put j, 2, -3, -5 in increasing order.\nAnswer: j, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1560 divided by -312.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + n + 5. Let s(i) = 4*i**2 - 3*i - 9. Let b(z) = 3*s(z) + 5*u(z). Let x be b(4). Let h = 11 - x. Let g(q) = -q**2 - 2*q - 3. Give g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/60*-3)\/((-50)\/(-100))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60095 and 505.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*d + 31*d + 120. Let j be ((-216)\/d + (-4)\/5)\/1. Sort j, 5, -1, 2 in descending order.\nAnswer: 5, 2, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939845 divided by 392?\nAnswer: 1939845\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.051 in 0.3, 0.5, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/4 + 2215*o**3\/4 + 349306*o**2 + 45427740*o - 45777600 = 0 for o.\nAnswer: -1020, -176, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4485, -15, 39 in descending order.\nAnswer: 4485, 39, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r. Let i be r\/((2\/(-1))\/(-2)). Let s be ((-1)\/(-6))\/((-7)\/(-28)). Which is greater: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*j - 96 + 187 = 0, j = -o + 42. Calculate the remainder when 230 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.156 times -248?\nAnswer: -38.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 12*r. Put 1, r, -3 in decreasing order.\nAnswer: 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - i - 4)*(0 - 1 + 2)*(41*i**2 - 36*i**2 + 13*i**2).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*y)*(y**4 - y**4 + y**4) - 3 + 3 + y**5 + y**5 + 0*y**5 - 4*y**5 + 4*y**4 + y**5 + 0*y**5 - 2*y**4 - 5*y**5 + 32*y**5 - 4*y**5.\nAnswer: 20*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3283150\nAnswer: 3\/3283150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*(-203)\/609?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4956932 millilitres in litres?\nAnswer: 0.0004956932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -121*f**6\/3 + 176*f**3\/3 - f + 107. Find the third derivative of c(r) wrt r.\nAnswer: -14520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249077713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 11*s - 20. Give l(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3017.26l?\nAnswer: 3017260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*(-600)\/90?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (231\/(-6) + (-27)\/18)*2. Let q = d + 108. What is the remainder when 54 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (8 - -3) - (10 - 17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 3*p. Let o = 1.814 + 0.186. What is the closest to 2 in o, p, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*p, -w - 3*p + 11 = 2. Let f(u) = -2*u. What is the smallest common multiple of f(w) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.7963 minutes in nanoseconds?\nAnswer: 5567778000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8056 + 8059. Let x(k) = k - 6. Let b be x(6). Solve b = -g + y*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19352700 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5086*h**2 + 15*h + 2*h**3 + 5086*h**2 to b*h**3 + q*h**2 + n*h + l and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 307424 and 1478?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*w - 0*w + 6, -3*t + 4*w + 10 = 0. Suppose m - 74 - 121 = 5*y, 0 = -y - t*m - 39. Let d = y - -65. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + -7 + -28 + 29 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-15)*21 - (-4 + 2). What is the greatest common factor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 31.1. Let x = -3.2 + 0.2. Let s = -2 - x. What is the nearest to w in -0.2, 0.3, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*l - 30*l - 5*l**2 - 4*l + 8 to the form d + a*l**2 + p*l and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from cwkrtrfw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 848.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 233\/15 and 451 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4382 + -0.0382. Sort 3\/11, 0.06, a in increasing order.\nAnswer: 0.06, 3\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-12))\/((-15)\/(45\/(-6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5, -393197 in ascending order.\nAnswer: -393197, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9406 + 2008 = 13*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94\/3 + -31. Let i = -79 - -79. Let p be (1\/3)\/(56\/48). Which is the nearest to -1? (a) i (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, -2\/5, 0, 8, 3, 197.58, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2912 - 94\nAnswer: -94.2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose -2*h - p + 233 = -4*p, r = -3*h + 4*p + 349. Suppose -2*x + 5*v = 3*x - h, -x + 27 = v. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*i + 20*i - 18*i + (-2*i + i + 2*i)*(1 + 3 + 4).\nAnswer: 77*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + w = -42, 49 = 5*u - w - 2*w. Let g = u - -47. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22310*v = -22122*v - 1880 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(693\/(-12)))\/((-4)\/18)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 2674656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r - 17 = -d, 4 = -d - 2*r. Determine b so that -4*b**3 + 9*b**3 - 4*b**d - 3*b + 4*b - 2*b**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9137233432 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 729839 less than or equal to 729840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 - 2*i**3)*(0*i**2 - i**2 + 0*i**2) + 3*i - 7*i**5 - 3*i + 244530*i**3 - 321*i**5 - 244530*i**3.\nAnswer: -326*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 85\/(-1105) - 14\/(-13). Solve 0*z = 4*r + z - 16, -r + z = c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 15*i**2 + 65*i + 13. Determine k(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -23959, -4\/7 in descending order.\nAnswer: 1, -4\/7, -23959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1869, -7506, -16901, -30054, -46965, -67634?\n\"Answer: -1879*n**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, o: 2}. Give prob of picking 2 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/9)\/(1\/3). Suppose 81 = 5*c + x. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462212800.\nAnswer: 2, 5, 7, 41269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3655 + 0.0655. What is the fourth smallest value in t, 13, 0.3, 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105423201344 - 4?\nAnswer: -105423201352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -313143\/40 + 7829. Calculate the common denominator of (-1995)\/(-342)*(-63)\/480 and i.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 349970, 2802803, 9460494, 22425473, 43800170, 75687015, 120188438, 179406869?\n\"Answer: 350405*y**3 - y**2 + y - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/2 + 131521*c**2\/2 - 21920*c = 0. What is c?\nAnswer: 0, 1\/3, 43840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0)*(-3)\/2. Let m be z\/9*3*47. List the prime factors of 1\/(-3)*3 + m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 808, 6603, 22474, 53461, 104604, 180943, 287518?\n\"Answer: 840*j**3 - 2*j**2 - 79*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/7, -0.4, -2.3513, -3 in descending order.\nAnswer: 2\/7, -0.1, -0.4, -2.3513, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c - 10. Let v be u(5). Let d = 144 + v. Suppose 10*y - 8*y - d = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2548\/22851 - 1\/2539. What is the fourth smallest value in m, 0.1, 224, 5\/6?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - 16*o**5 - 10*o**5 + (9*o**4 - 23*o**4 - 24*o**4)*(o + 0*o - 3*o) - 4*o**5 + 3*o**5 + 2*o**5.\nAnswer: 53*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 - -2. Let h(d) = d**2 - 5*d + 1. Let t be h(5). Let r = t + -3. Which is the closest to -1? (a) 5 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -904*b*k**3 - 37*b*k**2*v**3 - 17*b*k**2*v**2 - 6*b*k*v + 9503*k**6*v**3 + 214*v wrt k?\nAnswer: -5424*b + 1140360*k**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 12*w**2 - 12*w + 13. Let y be m(-13). Let s(r) = -r**2 + 6*r - 6. Let t be s(4). Solve y = t*q - 1 + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2601426 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -42. Suppose -4*j - j = 4*l + 38, o*j = -l - 32. Let i(g) = -2*g**2 - 2*g + 8. Let w(k) = 6*k**2 + 6*k - 23. Give j*w(r) - 17*i(r).\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffyf. Give prob of sequence fyf.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 14 + 6. Let c = -18 + 29. What is the remainder when c is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 8 (c) 3.5 (d) -0.1 (e) 0.194\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2407721 less than -1?\nAnswer: 2407720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, s: 1, h: 12}. Give prob of picking 2 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1908*f**2 - 108*f + 7. Let t(z) = 1909*z**2 + 135*z - 8. Give 5*c(q) + 4*t(q).\nAnswer: -1904*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-45)\/6))\/(32\/240)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -45638270.2 to the nearest 1000.\nAnswer: -45638000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*s + 6*g - 2*g, 3*g + 22 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7028515 divided by 2?\nAnswer: 7028515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185586272.00471 + -185585502. Let q = u - 770. What is q rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 1. Let u be 60 + -54 - (-1 - -6). Let x(w) = 3*w**2 - 5*w - 3. Determine u*x(f) + 4*q(f).\nAnswer: 3*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 39230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, -1, 1, -12, -62.\nAnswer: -62, -12, -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, -1607, 24, 2.\nAnswer: -1607, -4, -2, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16245980059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/35 + -5\/7. Let c be (4\/10)\/((-48)\/(-15)). Let b be -3 + (0 + 3 - -1). What is the smallest value in b, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -0*b - 5*b. Let s(o) = -22*o - 13. Let t be s(0). Let x = t + b. What is the remainder when 15 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + j**2 + j**3 + 0*j**3 + 657 + 7*j**3.\nAnswer: 8*j**3 + j**2 - 2*j + 657","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 135\/234*(-1 + -5). Let q = i - -1061\/299. Sort -2, 0.1, q.\nAnswer: -2, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006808 + 284.606.\nAnswer: 284.599192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 0*o - 1)*(-o**3 + 5*o**3 + o**3).\nAnswer: -15*o**4 - 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 619 * 0.01\nAnswer: 6.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135704809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = -0. Let u(a) = -a - 12. Let c be u(-9). Let j be 0 + 1 + (-1 - 1). Sort c, j, d in ascending order.\nAnswer: d, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away 1904556313?\nAnswer: -1904556312.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - z = 9, 4*z - 3*z + 3 = 2*t. Solve -d - 2*o + o = -10, t*o - 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568200, -1136431, -1704698, -2273007, -2841364, -3409775, -3978246, -4546783?\nAnswer: -5115392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, -11, -62, -113, -164?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/sqrt(10)*-2 - (sqrt(13) + sqrt(26)\/sqrt(2) + 5)**2)*3 + 2 + -3)*-2.\nAnswer: 464 + 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 2. Suppose 3*n + v = 27, 3*n + 0*v - 21 = v. Suppose -7*k = n*k + 330. Let a(i) = -7*i + 8. Give k*u(s) + 6*a(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - g**3 - 220*g + 221*g + 2 + 3*g**4 - 3*g**3 to j*g + m + t*g**2 + q*g**4 + n*g**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -16*j**2 - 5*j - 43. Let m(i) = 2*i + 9. Let a be m(-2). Let l(z) = 15*z**2 + 4*z + 43. Let y(p) = a*l(p) + 4*f(p). Differentiate y(x) wrt x.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5094?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35\/13 - -22025\/8398. What is the common denominator of l and 157\/78?\nAnswer: 25194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329070604?\nAnswer: 2, 3, 7, 1721, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*134)\/(47 - 40). Is c < -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13277*g**2*k - g**2 - 844*g*k - 103*g wrt g?\nAnswer: 26554*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.38 to one decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 95 = -i, -o + 415 = 5*i - 4*o. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((45\/(-90))\/((-9)\/(-20))*-6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 444\/11 <= -299\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 16 = 4*w, -w - 2*w = 5*i - 26. Let l = 40 - 36. Differentiate 7 + 5*m**4 - i - 2*m**l wrt m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*b - 7, 13*p + 7 = 9*p - 3*b. Let r be (p\/14)\/(-6 - (-150)\/24). What is the biggest value in r, 1\/2, -4, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**2 + 11. Let d(c) = 14*c - 5. Let f(x) = 3*x - 1. Let k(l) = d(l) - 5*f(l). Give u(k(r)).\nAnswer: -7*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100200222201210 (base 3) in base 7?\nAnswer: 61555155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - q**4 + 0*q**3 + q**4 - 3*q + 3*q + (-3 + 4 + 0)*(-2*q**4 - 2*q + 2*q) - 2*q**4 - 2*q**4 + 8*q**4.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**4 - 3*i**3 + 9284*i**2 + 14427887*i + 2 wrt i?\nAnswer: 60*i**2 - 18*i + 18568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.38572 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53252376 to the power of 1\/2, to the nearest integer?\nAnswer: 7297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12774 (base 12) to base 2\nAnswer: -110001011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-7)*(7 + 6335). Let y be 6348\/j - (-2)\/15. Let w = -1893\/4228 - y. Calculate the common denominator of w and 31\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31823047807 and 3?\nAnswer: 31823047804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-196)\/(-12) - 1)*1227\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2092465660 to the nearest one million.\nAnswer: 2092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1418 and -3.\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1808.99 litres to millilitres.\nAnswer: 1808990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221862 and 525918.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 - 3*o**2 - 9*o**2 - 4.\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 6}. Give prob of sequence cc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -5*q**7\/21 + q**4\/2 - 3*q. Find the third derivative of w(b) wrt b.\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -580, -5, -24, 3 in descending order.\nAnswer: 3, -5, -24, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/10*(-3 - 2). Let l be -33*(16\/6)\/u. Suppose 3*c = 4*a - 10, -4*c + 0*a - a + 12 = 0. What is the highest common divisor of l and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13017 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57868 and 2668?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -4*z**5\/15 + 19*z**4\/24 + 504*z**2. Let b(r) = -r**2. Determine n(b(j)).\nAnswer: -16*j**4 - 19*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1155 and -31\/308.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(114) + sqrt(114) + sqrt(114)))\/(sqrt(48)\/sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 148.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 6:51 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 24*c**2 + 11*c**2 + 11*c**2 + 34*c**3 - 3*c**2.\nAnswer: 34*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2324, -2334, -2342, -2348, -2352, -2354, -2354?\n\"Answer: p**2 - 13*p - 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*i = -289 + 540 + 1149. Calculate the remainder when (2\/6 + -1)*-36 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18803309.\nAnswer: 7, 17, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 234 and 236 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-6)\/(-4))*(11 - 3). Suppose 0 = -2*a - 1 - 3, -y*b - 2*a = 12. Does 6 divide (152\/(-10))\/(b\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5626109kg in grams?\nAnswer: 562.6109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 56, 2, -3 in decreasing order.\nAnswer: 56, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-186)\/1395*5\/3. Which is the third biggest value? (a) h (b) -2.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 56460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 102*g - 860449. Determine h(-878).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 2406274?\nAnswer: 2406272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -9. Let y = -95 + 123. What is the remainder when y is divided by ((-12)\/(-18))\/(2\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:51 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - 61 + 6*g + 6 - 8*g as j + z*g and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 55 + v**3 + 22 + 19 - 3*v**3 in the form d + p*v**2 + u*v**3 + c*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/50 - (-186)\/15 - 5. Suppose 5*v - b = r*v - 75, 2*v - 4*b = 80. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (8 - (-11 + 17 + (-13 - -11))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3404 divided by 61?\nAnswer: -3404\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/19 - (-18676000)\/133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {c: 4, s: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 570, 800, 1030?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5699.\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 2*z**2 + 2*z + 6. What is k(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 16) to base 2.\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39646 + 7857 = -1463*a - 542*a + 80491 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.38 + -0.38. Let v = 19 - t. Put 6, v, 2, 3 in decreasing order.\nAnswer: 6, 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/2 (b) 0.04 (c) 5\/2 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1710001, 1710003, 1710005, 1710007, 1710009?\n\"Answer: 2*o + 1709999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356099, -356111, -356131, -356159, -356195, -356239, -356291?\nAnswer: -356351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 617*k**2 - 1872*k + 3. Calculate h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 4. Let n be k(10). Suppose 16 = w - 5*z, -2*w = 4*z - 2 - n. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u + 762 = 164 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**31*(g*g**(2\/25))\/g assuming g is positive.\nAnswer: g**(777\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -20444340?\nAnswer: 20444400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {d: 1, h: 1, a: 7, m: 3, n: 1}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**2 - 2*v + 5. Let l(u) be the third derivative of -u**5\/10 + u**4\/24 - u**3\/2 + 5*u**2. Calculate 7*l(b) + 4*o(b).\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81.48 and -0.00225.\nAnswer: 0.18333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 348451 + 455549. Round v to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 114 = 116. What is the nearest to -0.1 in -0.4, f, 4, 0.28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7311, -8211, -9759, -11967, -14847, -18411, -22671, -27639?\nAnswer: -33327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + -4 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjcojojj. What is prob of picking 2 j?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -76*d + 72*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*t - 8, 3*h - 3*t + 9 = 2*h. Let a(n) be the first derivative of -n**2 + 13\/2*n**4 - 4*n + 2*n**5 + 6*n**h - 1. Let a(q) = 0. Calculate q.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:38 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 729 divided by 558345\nAnswer: 243\/186115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -811 (base 13) to base 5.\nAnswer: -20431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6471 - -5385. Suppose -3*d + n = 3*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*3010609.\nAnswer: 4515913.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 10:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 16. Determine n(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 109. Let x be 25\/15*108\/60. Let z(r) = -77 + 213 - 68 + x*r - 68. Calculate z(v(m)).\nAnswer: -6*m + 327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -21, 0 in decreasing order.\nAnswer: 7, 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 1. Suppose z - 55 - 14 = -5*g, 5*z = -4*g + 51. Let r(j) = 1 - 9 - 8*j**2 + 1. Determine g*w(y) - 2*r(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 18. Let x be ((8\/2)\/4)\/(-8)*2. What is the closest to x in -1\/4, 0.3, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnxnnnnnnxnnnxnsnnn. Give prob of picking 1 n and 1 s.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.4 (b) 6 (c) 0 (d) -0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40745, 40540, 40335, 40130?\nAnswer: 39925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 3 + 7*i**3 + 6.\nAnswer: 14*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*f - 20, 0*f + 3*f + 5*y = 29. Let l be f\/(3\/(-4)) + 6. Let s be l\/8 + 11\/52. Is -1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2*c - 5)*(2*c - 4*c + 0*c) + (5 - 2 + 16)*(-2*c**2 + 5 - 5) + 0*c**2 - 3*c**2 + 0*c**2)*(27 - 27 + c).\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqqu when four letters picked without replacement from {u: 4, q: 15}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -0.27488889?\nAnswer: 7.72511111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose -z = -g*z. Suppose z = 2*d + 3*d - 80. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4*z - 11011385*j**4 + 34724032*j**2*z + j*z wrt j?\nAnswer: 96*j*z - 264273240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzp when three letters picked without replacement from orzpn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39265844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 18.1. Let i = u - 17.00000022. Round i to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2182 - 2206. Suppose 4*y = 2*y + 13888. List the prime factors of y\/77 + (i\/33)\/4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-33 - (6 - 47))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 677457 divided by -78.\nAnswer: -225819\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -40?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74\/517 in 40, 0.47, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/14 and -5\/8946?\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2175, 13, -6487 in decreasing order.\nAnswer: 2175, 13, -3, -6487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(14\/(-8)). Suppose 5*w = 4*p - 54, 4*p + 2*w - 77 + 9 = 0. Let f be 2\/(9\/((-36)\/p)). Which is the smallest value? (a) -1 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1687 times -3.9\nAnswer: -6579.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8144*x**2 - 20*x - 76. Let n be z(13). What is n rounded to the nearest ten thousand?\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/38 and (1*-62 + 4)\/((-32)\/12).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -10. Let z be g\/(-6) + (-2)\/(-4). Let h = z + 0. Let u(d) = -d**2 - 3*d + 7. Determine u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1906166363531 from 43.\nAnswer: -1906166363488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 5*j + 15, 2*j - 6 = -3*i + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:37 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21709772?\nAnswer: 2, 7, 775349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67108631 is divided by 14811.\nAnswer: 14801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/287 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 78 = 5*n + 3*j, -n - 4*j = -34. Which is smaller: n or 175\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-9))\/(0 + (-8)\/12). What is the third derivative of -w**2 + v*w**2 + 32*w**4 - w**2 - 6*w**2 wrt w?\nAnswer: 768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -15. Let f(l) = 16*l**2 - 2*l + 7. Let w(s) = 47*s**2 - 5*s + 19. Let h(i) = 8*f(i) - 3*w(i). Give h(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3601*d**2 + 356*d + 6 wrt d.\nAnswer: -7202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, 2.2, -0.5, 0.5, -1\/10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76580328*c**5 - 1310*c**2 + 669*c - 2 wrt c.\nAnswer: 4594819680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 3*y - 217 + 230, -21 = q + 4*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let z(q) be the first derivative of -109*q**3\/6 - 80*q - 26. Let g(u) be the first derivative of z(u). Determine d(g(n)).\nAnswer: -218*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2021240 and -1\/790920?\nAnswer: 18191160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552637 is divided by 276299.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1483667\/5 or -296732?\nAnswer: -296732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4199\/8 + 525. Let q be -1*-4*2\/2. Which is the third smallest value? (a) y (b) -0.1 (c) q (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 66\/3 + (-2 - -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186626 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(1503\/(-27) - -47).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 14*p = 12. What is the remainder when (4\/(-1))\/(4\/(-22)) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v**3 - 11*v**2 - 248*v - 679. Determine s(-3).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -151*w**7\/70 - 473*w**5\/60 + 5*w**2 + 11. Find the third derivative of o(u) wrt u.\nAnswer: -10872*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) -2\/7 (c) 5 (d) -0.5 (e) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7825 - 7825. Let u(g) be the first derivative of -10 + 0*g**3 - 14*g + q*g**2 + 0*g**4 + 19\/5*g**5. Find the first derivative of u(r) wrt r.\nAnswer: 76*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -52aaa47?\nAnswer: -52aaa56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*m + 19, -17 = -4*m + 4*z - 53 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -18*d - 96. Let s be (-76)\/(15 - -4) + -1. Calculate b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + 214\/10. Suppose -5*d = -0*d. Suppose -3*m + 0*m + 12 = d. Solve -1 = m*g - y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251174621?\nAnswer: 521, 482101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2392096.\nAnswer: 11960480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3 - 2, 3*x - 29 = -2*a. Let s(g) = 4*g**3 - g**2. Let v be s(1). Suppose 104 = -v*k + 7*k. Calculate the remainder when k is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -44, -33, 4, 73, 180, 331?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 13*l + 11. Let v be p(-6). Let m = v + -65. Suppose -m = -4*c, 0*u + u + 2*c = 161. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -58*s**2 + 871*s - 8. Let m be o(15). Solve -4*g + 13 = 3*t, 7 = 4*t + 2*g - m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2499, -5093, -7681, -10269, -12863, -15469?\nAnswer: -18093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = l - 5*l + 3*q, -3*q = 5*l - 48. Suppose 28 = l*n - 5*n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. Suppose -5*i + 1100 = -5*x, -2*i + 412 = -0*i + w*x. Suppose 4*n = -28 + i. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) + 1*sqrt(4752) + (sqrt(33) - (3*sqrt(3300) + sqrt(3300) + sqrt(3300))))\/((sqrt(198)\/sqrt(6))\/sqrt(11) - (sqrt(3) + sqrt(27)\/sqrt(225))).\nAnswer: 125*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*m + 43*m + 47*m + 26*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 - ((6 - (9 - 0)) + -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -3. Let o be (-3)\/p*10\/(-15). Which is the biggest value? (a) o (b) -4 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(-44))\/(((-147)\/6)\/7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 1\/8, 2\/7, 0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*k = -2*d + 125, -5*k = -5*d + 115. Suppose w = 5*w + d. Let l(p) be the third derivative of p**4\/24 + 4*p**3\/3 - p**2. What is l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368*0.02591\nAnswer: 9.53488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -578.5?\nAnswer: 347.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 100*k**2\/3 - 896*k - 3072.\nAnswer: -(k + 4)*(k + 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(12\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3752, -7508, -11264?\n\"Answer: -3756*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -22*g - 166. Let t(p) = p**2 - 4*p. Let y be t(5). Let n(d) = -d**3 + 4*d**2 + 7*d - 8. What is the smallest common multiple of w(-8) and n(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 38*z + 12. Give m(-40).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4389 = -2490*t + 2721*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7645123 + -4.57.\nAnswer: 7645118.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 530 = -g. Suppose -g = -4*b - b + 2*p, 5*p = 2*b - 127. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*-2*1. Let v be (-3)\/11*(-2)\/i. Let q = 21\/31 - 54\/217. Which is the second smallest value? (a) 2 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 2*f + 0*f - 64*f + 114*f + 24*f + (2*f - 2*f + 2*f)*(1 - 2 + 0) to w + y*f and give y.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -0.109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -3*(sqrt(102) - 1*sqrt(102)))\/(sqrt(6) - sqrt(6)*-1*5) + ((sqrt(17)*-1)**2 + sqrt(17))*3 + sqrt(51)\/(-1*sqrt(3)))*3 + 3.\nAnswer: 13*sqrt(17)\/2 + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -q - 8 - 7, -f + 2*q + 9 = 0. Let y = 6.3 + -2.3. Put f, 1\/11, y, 0.2 in descending order.\nAnswer: y, f, 0.2, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191 is divided by 257?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o**2 + 13*o**2 - 24*o**2)*(-o**2 + 2046*o - 2022*o + 1 + 7) as w + s*o**3 + n*o**4 + p*o**2 + l*o and give s.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -2527?\nAnswer: 2526.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -6505.471.\nAnswer: -6505.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 4*i - 3. Let h be p(2). Let t be -57*h*2\/(-6). Let q be (-1 - -59) + (-5 - -4). What is the highest common divisor of q and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*u**5 + 0*u - 26*u - 28*u wrt u.\nAnswer: 1160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8*8\/2. Let x(i) = -i**3 + 3*i + 1. Let f be x(y). Solve -f*c + l = 2*c - 2, 3*c - 6 = 3*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-507)\/26*1\/(6\/(-8)). Suppose -5*y + q = 6. Suppose -y*c - 18 = -9*c + 3*j, 3 = -3*j. Solve -2*f = 5 - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 55*j - 43 = 8*j. Sort j, -2, 4, -202 in ascending order.\nAnswer: -202, -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 4*r + 3*r)*(-4*r + r + 4*r) + (2*r - r + 0*r)*(-17*r + 6*r + 7*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -758 divided by -10084?\nAnswer: 379\/5042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) - 2\/5. Let w(s) = s**3 - 20*s**2 + 60*s + 11. Let n be w(4). Which is the second biggest value? (a) n (b) -1 (c) 3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11289485 and 282905.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 28*x = -2*j - 30, -4*x = -3*j - 40. What is the greatest common divisor of 720 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12369794 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3*22\/3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27802605 and 494?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c - 46 = 25*c. Let b be 6 + (-3)\/((-9)\/(-6)). Suppose -4*z + 7 = -2*d - 3, 20 = -4*z - b*d. Solve z = -3*w + c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108304b (base 12) to base 3\nAnswer: -12221101202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 569 * -4.975\nAnswer: -2830.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309*b - 309*b + 4 + 19*b**2 with respect to b.\nAnswer: 38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 10:53 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 30*y**2 - 4*y + 124. Let g be n(30). Suppose 3*u - m = 406, 3*u - u = -g*m + 266. Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 27*w = -32. Solve -q = z + 3, z = 3*z + w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3503200 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2 - 3 + 0 - 7*p + p**2. Let i be b(8). What is the third derivative of -z**2 - z**2 - 2*z**3 - z**i wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from {f: 4, z: 2, e: 5, o: 5, h: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82\/1767, 2\/3, 29.\nAnswer: 82\/1767, 2\/3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 627177109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 270 = -764. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*o + 22, 5*v - 157 + 83 = 2*o. Solve v*p = -15 + 127 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*5\/(-125)*-5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1354068*y - 202135?\nAnswer: -1354068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 4 (c) 0 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240 - 223. What is the remainder when 67 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/19)*l\/l**(-1\/25)*l**16*l**(-7) assuming l is positive.\nAnswer: l**(4819\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 5. Let z be a(-1). Solve -v = z*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/70? (a) 2\/11 (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppeeppp. What is prob of sequence eppp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -6, 29, 100, 219, 398, 649, 984?\n\"Answer: 2*m**3 - 3*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 6*w. Let u be i(-5). Let y = 13 + -30. Let l = u - y. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(100380\/(-2629)) + 202\/(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 5, 4, 3, 690 in decreasing order.\nAnswer: 690, 5, 4, 3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 32. Solve 0 = -3*w + x + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28332 and 3148.\nAnswer: 28332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31765 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 3)*3783\/(-6). Is 20\/40 + m\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-16)\/10)\/((-36978)\/(-4110) - 9) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 99. Determine b(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8378, 16753, 25128, 33503, 41878, 50253?\n\"Answer: 8375*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:38 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/32)\/((-92)\/32)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 33614445?\nAnswer: 33614447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 4:46 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 + 35747490.\nAnswer: 35747333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdd when three letters picked without replacement from pdpdppdpdpp?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*d + 64*d - 39 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)\/o*o*o**(2\/9)*o*((o**(-2\/3)\/o)\/o*o)\/o**1*((o\/(o**(-2)\/o))\/o)\/o**(2\/7)*(o\/(o*o**(-1\/2))*o)**(-27) assuming o is positive.\nAnswer: o**(-5699\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w + 1263 + 1182. Let a = w + 115. Let n be (-12)\/a*4*5. What is the highest common divisor of 25 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 4, 5 in increasing order.\nAnswer: -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -207, -437, -751, -1149, -1631, -2197?\nAnswer: -2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7629683768?\nAnswer: 2, 7, 41, 73, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4202, -8387, -12572?\nAnswer: -16757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 75*h**3 + 7*h**2 - 2*h - 5. Let y be g(5). Let w = 95273\/10 - y. Find the common denominator of (-7 - 958\/(-120))\/((-1)\/(-3)) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80529*d**3 - 33169 wrt d.\nAnswer: 241587*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 - 40*o. Suppose -4*m - 9 = -3*k, 2*k + 2*m = 3*m + 1. Let w(i) = -i. Determine k*r(n) + 40*w(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-2 - -1)*(192\/(-48))\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 5 (c) -2\/3 (d) -280 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {a: 6, d: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10308222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -341 * -72\nAnswer: 24552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**2 + 44*o - 92. Let r(q) = -3*q**2 + 15*q - 31. Let p(g) = 4*f(g) - 11*r(g). Let t be p(-13). Is (5\/10)\/((-1)\/90*t) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 + 3*s**4 + s**5 - s**4 - 4*s + 4*s + s**5 + (-1 - 2*s + 1)*(0*s**3 + 0*s**3 + s**4).\nAnswer: -3*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00179078742 rounded to five decimal places?\nAnswer: -0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789640 rounded to the nearest ten thousand?\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 take away 6?\nAnswer: -6.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-506)\/(-6325) - 2496\/(-50).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55*0.0984024\nAnswer: 5.412132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1161.5+11.468\nAnswer: -1150.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -201*y**2 - 8*y. Let x(v) = 29*v - 584. Calculate x(a(t)).\nAnswer: -5829*t**2 - 232*t - 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 3*p - 7. Let r(k) be the second derivative of -k**4\/6 + k**3\/2 + 4*k**2 - k - 59. Determine 7*f(g) + 6*r(g).\nAnswer: 2*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5 - x**3 + 2*x**3 + 3*x**2 + 0*x**2 - 2*x**2. Let a be i(0). Factor -4 - 11*m + 2*m**2 + 8*m + a*m.\nAnswer: 2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1306951 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 0*n)*(-2 + 0*n + 6*n + 8*n).\nAnswer: 14*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/3)\/((l**(-2\/3)*l*l*l)\/l))**(-25) assuming l is positive.\nAnswer: l**(-175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -18. Let w = -205 - -105. Calculate the least common multiple of 20 and ((-2)\/r)\/((-5)\/w).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/36108 and -79\/27081?\nAnswer: 108324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259 + -259. What is the smallest value in 3\/25, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 5.05. Let i = -6.6 - 1.4. Let m = i + f. What is the second smallest value in 0.2, m, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(3 + ((sqrt(833) - 3*sqrt(833)) + 1)**2).\nAnswer: -56*sqrt(17) + 6667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6529*r = 25*x + 6532*r + 53, 2*r + 6 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7934 rounded to 2 decimal places?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 + 3. Let u(c) = -6*c**3 - 16*c**2 + 16. Let t = -39 + 55. What is t*r(q) - 3*u(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007377383026 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 12 - 261*d**2 + 98*d**2 + 101*d**2 + 64*d**2 - 17.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 89. Determine z(19).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73.0332822 + 1458790.\nAnswer: 1458716.9667178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*t**2 - 182*t**2 + 4 - 3*t**3 + 323*t**2 - 4.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 266*k + 57. Let b(a) = 19*a + 4. Let z(h) = 57*b(h) - 4*v(h). Let u(s) = -753*s - 720*s + 1470*s. Give u(z(x)).\nAnswer: -57*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(f + 5*f - 5*f)*(1 + 1 - 1).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19616.959 take away -344?\nAnswer: -19272.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 3}. What is prob of sequence sks?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(2 - 4)\/2. Let z = 0.7345 - -0.2655. Put -4, -2, z, g in decreasing order.\nAnswer: z, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -25. Let x be (-6 + 4 - i) + -3. Solve 0 = -f + 12 - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let j(a) = -809*a - 12911. What is v(j(n))?\nAnswer: 809*n + 12911","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5048922101 to the power of 1\/3, to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 184, -5, 3 in descending order.\nAnswer: 184, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let g(q) = -4*q**2 + 12*q + 9. Let m(d) = -g(d) + 6*o(d). Let t be m(6). Suppose -4*j + 137 = -t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38589 (base 10) to base 12\nAnswer: 1a3b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 9.608?\nAnswer: 9.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 12) to base 2.\nAnswer: -11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**3 + 108*m**3 + 77*m**3.\nAnswer: 199*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527417590?\nAnswer: 2, 5, 7, 61, 123517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*a - 8*a - 3*a.\nAnswer: 74*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*h**6 - 6874*h**4 + h**2 + 95*h + 2289 wrt h?\nAnswer: 1560*h**3 - 164976*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254*b**3*q**2 - 65*b**3*q - 127*b*q**4 + 27*b*q wrt q.\nAnswer: 508*b**3 - 1524*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*p = -13, -3*g + p + 18 = 6*p. Suppose -6 = k - g, -j + 86 = 5*k. List the prime factors of j.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2360*q - 14184. Determine b(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16974\/13, -3, 33 in decreasing order.\nAnswer: 16974\/13, 33, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 129840689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 18*t**2 - t. Suppose -5*q - 4 = 1. Does 7 divide d(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247428449?\nAnswer: 151, 1638599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 - (-2 + 1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.21 - 0.21. Let s(w) = -w**3 + 5*w**2 - 4*w + 1. Let m be s(4). Let v be -1 - 5 - (m + -2). Which is the closest to -1? (a) v (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.4 - -6. Let p(v) = v**3 + 61*v**2 + 60*v. Let t be p(-60). What is the nearest to t in 5\/9, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909402925 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31 + -2 - (-7 + 4). Suppose -2*i - 3*i = -4*z + 29, 5*z - 5*i = 40. Let o = a - z. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/136433 or -1?\nAnswer: 18\/136433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -13\/4585291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1255530*v**3 + 2*v**2 - v. Suppose 0 = 4*t + t - 5. Let r be u(t). Let l = r - 2565531. Round l to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 6 = 0, -2*p + 24*v = 27*v + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193.532 - -0.468. Let r = -190 + f. Which is the closest to -1? (a) 0.2 (b) r (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -20*a**2 + a - 8. Let c(g) = -13*g**2 + g - 5. Calculate 8*c(o) - 5*p(o).\nAnswer: -4*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*z + 172*z + 60 = 0. Put 35, -3, z, -1 in ascending order.\nAnswer: z, -3, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143777991 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 694*c**2*k**2*s**2*v + 109*c**2*k*s**2 + c*k*s**2 + 5*k**2*s**2*v + 1654*s**2*v wrt c?\nAnswer: 1388*k**2*s**2*v + 218*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-210))\/((-3)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-214192)\/(-14) + 54\/(-126) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11224)\/(-8))\/(-23) + (18 - 24).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 2, m: 4, v: 4}. What is prob of sequence mm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, -4, 1\/3 in increasing order.\nAnswer: -4, 1\/3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 + 8*f - 3. Suppose -112*q = -109*q - 12. Let c be a(q). Let j be 355000\/1*c\/((-26)\/16). Round j to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000212301491 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 8756 - 3156. Let b be o\/((3\/(-12750))\/1). Suppose -d + b = d. Round d to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61574415 to the nearest integer?\nAnswer: 7847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 281.9 and -0.5?\nAnswer: -140.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - 2 - 21) - (-3065 - -3057)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 times 3305?\nAnswer: -641170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 3 - (23 - 12 - 5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(6*m**4 + 2*m**4 - 3*m**4)*(-1 + 1 - 2) + 0*m**4 - 3*m**4 + 2*m**4.\nAnswer: 19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (19 + -3)) + (-11 - (13 - (39 + -8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 39*(1727\/143 + -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b - 292 = -3*a, 16 = 4*b. Suppose 3*q - 272 = -y, -5*y = 2*q - q - a. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 + 8*r + 13. Let n(l) = -8*l**2 + 24*l + 38. Let h = -5 + 9. Suppose 0*z = h*z + 16. Let b(u) = z*n(u) + 11*c(u). Calculate b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -9)*(-3)\/((-9)\/34). Let j = 70 + r. Suppose -8 = j*p, 2*p + 15 = -t - 3*p. What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 2*x**2 - 2*x + 1. Give s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -23.73. Let l = v + 40.93. Let h = -39 + l. Sort 1, h, 4.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-8)\/((-3)\/6). Suppose 0 = 3*o + o - m. Solve 8*d - 20 = o*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)\/(1\/(-2)*4). Let t(w) be the third derivative of 14*w**2 + 7\/24*w**4 + w**3 + u*w + 0. Let y(o) = 20*o + 17. Determine -17*t(n) + 6*y(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 13 - 125. Suppose 3*d = -2*k + 18 - 4, -k = 5*d - o. Calculate the remainder when 16 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - -75. Suppose -q = -2*i + n, 6*q = 4*q - 2*i - 156. Let d = q - -89. Solve 3*y = d*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*o**3 + 0)*(-2 + 2 - 2*o)*(4*o - 5*o - o).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 1 u when three letters picked without replacement from jwjwewwewwweuj?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 7*n - 11 = 0, -119*q + 3*n + 15 = -117*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 - 2 = 0. Let j = -66 - -70. Let k be ((-8)\/j - 1\/(-1)) + -4. Sort a, k, -2.\nAnswer: k, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 986*c - 171559. Calculate q(174).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 11:44 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -44. Let o be (9*4\/f)\/3. Suppose w + q = 2, 4 = 4*w + o*q + 2. Are 2\/11 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ambb when four letters picked without replacement from aaaamcmbbbaambmbbbab.\nAnswer: 196\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 + 0*h**4 + 5*h**4 - 4 - h**4 - h**4 + 4*h**4 + (13*h**2 - 80*h + 80*h)*(4*h**2 - 7*h**2 + 2*h**2).\nAnswer: -10*h**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 60 = -16*o + 5*j, 2*o - 8*o - 81 = -17*o - 2*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953143 is divided by 134.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*j + 55, -30*h + 625 = j - 62 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -945049, -1890096, -2835143, -3780190, -4725237, -5670284?\n\"Answer: -945047*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 8*q + 5. Let j be s(8). Let o**3 + 3*o**5 - 4*o**j - o**4 + o**4 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.68 + 3?\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.448 to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 6)*(z + z + 0*z + (0 - 5 + 3)*(z + 0*z + z) + 0*z + 0*z + 3*z - 3 + 3 + 2*z + (1 + 3 - 3)*(0*z + z - 2*z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, e: 3, t: 1}. What is prob of picking 1 e and 2 s?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7475137 or 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1)**2*1 - (sqrt(3)*-2 + sqrt(3) + -1)**2 - (sqrt(12)\/(sqrt(20)\/sqrt(5))*2)**2.\nAnswer: -13 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53758787 + 2*g**2 - 53758787 - 3*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162.90199854471 - -162.902. Round i to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 9*w - 12. Give a(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 1002804.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 16 = -5*w. Let f = 4 - 0. Put 0.3, f, w in ascending order.\nAnswer: w, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86 * 889459.1.\nAnswer: 76493482.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1)*d*d*d)\/d*d)**33\/(d\/d**(-7)*d*d**(-1\/3)*d))**(2\/17) assuming d is positive.\nAnswer: d**(536\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1 + sqrt(343) - sqrt(343))*6 + sqrt(343) + 5*sqrt(343)*2)*4)**2.\nAnswer: 59136*sqrt(7) + 2658496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140481620 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 85. Let k(q) = 2*q - 6562 + 6562. Give k(j(x)).\nAnswer: -2*x - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Let d be f(-5). Let t be (-5)\/(-10)*(2 - 0). Let m(u) = u + 1. Let a be m(t). Solve -i = a*i + d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3695 and 0.63.\nAnswer: 2327.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 15*x - 119 + 104, r - 5 = -5*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16 - 3 + 6 - 19412*m + 19454*m + 1.\nAnswer: 42*m + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1 + (12 - 8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.13. What is the third smallest value in -2, u, -0.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5104.93424 - -5105. Round o to 3 dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16470302.\nAnswer: 2, 19, 433429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) -4 (b) 0.0673 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13525518 divided by -3.\nAnswer: 4508506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = g - 5*l, 5*g = l + 2. Factor g + 2\/7*t**2 + 4\/7*t**3 + 0*t + 2\/7*t**4.\nAnswer: 2*t**2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1410 = -0*t + 3*t. Let r = -93 + t. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**(-22\/3))\/(r\/r**12)**21 assuming r is positive.\nAnswer: r**(674\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a**(-1)\/a)\/a*a*a))**(4\/31)*a*a*a**1\/a*a*a**(-5) assuming a is positive.\nAnswer: a**(-58\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*v - 1, v = -3*v - 4*x + 20. Suppose v*q - 42 = 654. Calculate the highest common factor of 58 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2277?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:48 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egn when three letters picked without replacement from ehnzg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 8695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/63)\/m)**(18\/13))**(2\/65) assuming m is positive.\nAnswer: m**(8\/5915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4335*r**2 - 4332*r**2 + 8669*r**2 - 63*r**3 - 2*r**3 + r - r + (-5*r**2 + 2*r**2 + 4*r**2)*(2 - 2 + r) - 4*r**3 + r**3 + r**3 + 2*r**3 + 5 - 5.\nAnswer: -64*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s**2 + 5. Let z be (7 - 6) + (-5)\/(-1). Let y(d) = -13*d**2 + 9. Give z*y(i) - 11*l(i).\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 964, 7790, 26318, 62398, 121880, 210614?\nAnswer: 334450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/492*36\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (sqrt(21)\/sqrt(3))**2 - (1*sqrt(252) - sqrt(7))*5.\nAnswer: -25*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 - 14*o**2 + 33*o**3 - 3 + 10*o**2 as a + x*o + m*o**3 + d*o**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**17*z)\/z**15 assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. What is the third derivative of 7*u**3 + u**2 - 2*u**3 + u**2 - u**x wrt u?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.12 (b) -0.3 (c) -2438.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 483.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let q(x) = -8*x + 24. Suppose 0 = 2*z + 307 - 303. Determine z*q(f) + 48*u(f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -217.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 10*r**2 - 11*r + 4. Let f be g(11). Suppose -7*w + f*w + 150 = 0. Suppose 3*x + 4*l = x - w, 8 = -4*l. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871.2835t in grams?\nAnswer: 871283500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 684 = -74*i. Put i, 82, -1 in increasing order.\nAnswer: -1, i, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 498*z**2 - 992*z.\nAnswer: -z*(z + 2)*(z + 496)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f - 61*f = -44, 3*f = -37*q + 2105. Suppose i = -2*i + 15. Calculate the least common multiple of q and i.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000204126 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5766808 (base 9) to base 6\nAnswer: -150433012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i**3 + 25\/2*i**2 - 30*i + 25\/2*i**4 + 0 = 0.\nAnswer: -4, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235271175 to the power of 1\/2, to the nearest integer?\nAnswer: 15339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -3. Let -k*u - 2*u**2 + 21*u = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 32 - 94 + 9*v**2 - 12*v**2 - 73 to y*v + o + a*v**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - 182\/(-36)) + 6\/(-2) and -38\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 9, 1\/13, 159.6?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -6*o + 8*o. What is the highest common factor of o and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 6}. Give prob of picking 2 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7886113 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u - 6*u**4 + 4*u**4 - 6*u - 2*u**2 + (1 + 0 - 2)*(-5*u**4 + 4*u**4 - 2*u**4).\nAnswer: u**4 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**3 - 4*r**2 + 4*r + 22. Is 70 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 10, 0 = -5*w + 4*z + 5715. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-p**5 + p**5 - 4*p**5) + 2*p**4 + 3*p - 4*p - 2*p**5 - 7*p.\nAnswer: 6*p**5 + 2*p**4 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 2 + 1 - 0. Let d = -24 - -39. Suppose -3*a = 2*a - d. Solve -a*z - z = f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/45, -50, -0.03?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtjvmvml. Give prob of sequence jm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -460962 greater than -460966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 2.3?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241096154.\nAnswer: 2, 13, 41, 226169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.21, -1, 0.494, -0.09 in descending order.\nAnswer: 0.494, 0.21, -0.09, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 527a74 - -4?\nAnswer: 527a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - -10111110001000?\nAnswer: 10111101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56250 + 24?\nAnswer: 56274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + 5*i**2 - 5*i + 5. Let o(x) = 2*x**3 + 2*x**2 - 2*x + 2. Determine 5*o(w) - 2*u(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/3 - 40844*c**2\/3 - 108966*c + 122580 = 0. What is c?\nAnswer: -9, 1, 20430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10772207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = -4*x - 7, 0 = 5*b - 4*x - 12. Suppose -h + 6*h - 250 = b. Suppose -2*u + h + 36 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 4*b - 28*b**3 + 6*b + 0*b + 2 as d*b**2 + l*b + z + f*b**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 12 + 9)*(0*q + 0*q + 2*q) + 4*q + 2*q - 4*q + 0*q + 2*q - q - q + 5*q - 2*q + (-2*q - q + 4*q)*(-4 + 2 + 3) - 1 + 1 + q + 4*q - 2*q + 0*q.\nAnswer: 41*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84*l + 4*l + 73*l)*((-1 + 5 - 3)*(3 - 1 - 4) + 0 - 1 + 3 + (-2 - 1 + 2)*(-3 - 1 + 2)) to the form r*l + m and give r.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/1)\/(4\/10). Suppose -5*k = -3*y - 18, 0*y - 5*y = -5*k + 20. Let j = y - w. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, n: 3, q: 2}. What is prob of sequence nnv?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646085 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 + 23*m**2. Suppose -17*s = 55*s + 3*s + 450. Let v(g) = 3*g**3 + 11*g**2. What is s*l(z) + 13*v(z)?\nAnswer: -3*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 46. Let z be (0 + (-4)\/6)*-3. Let u = z - a. Solve -3*k = 3*j + 21, -16 + 3 = u*k + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4040*n + 2351290. Calculate x(582).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16378, 16374, 16370?\n\"Answer: -4*z + 16382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -331387 minus -0.4?\nAnswer: -331386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -37 - 63\/(-10)) + (-5)\/(300\/1398)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-6)*r*r*r)\/(r*r**4*r*r))\/(r**(-2\/5))**(6\/7) assuming r is positive.\nAnswer: r**(152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-36))\/(45\/40)*16\/80.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 1, d: 5, e: 3, m: 3}. Give prob of picking 1 x and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3))**(-8)\/((w*w*(w**(2\/3)\/w)\/w*w)\/w*w\/w**(-1\/6)))\/((w**9\/w*w)\/(w*w\/w**(-3)))**(-38) assuming w is positive.\nAnswer: w**(917\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/108*(-5)\/(-15).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 952707935 + 13.\nAnswer: 952707948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (5 - -8) - 4\/(-1). Suppose a = 4*x + 5*d - 13, -3*d + 1 = 4*x - 10. Let b = 51 - 49. What is the lowest common multiple of x and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -591734.21 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {p: 2, x: 5, g: 2, c: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 9, 6229, 2 in descending order.\nAnswer: 6229, 9, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d. Let a(t) be the second derivative of t**3\/3 + t - 49. Determine r(a(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201914, 201905, 201868, 201785, 201638, 201409, 201080?\nAnswer: 200633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**4 + 1196*c**3 + 4872*c**2 + 6124*c + 2456 = 0. Calculate c.\nAnswer: -2, -1, 307\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -6)*(-3)\/3. Let a = i + -2. Let v = a + -1. What is the lowest common multiple of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -997299645*r**4 + 195722613*r**2 wrt r?\nAnswer: -23935191480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 873 and 891.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*m**5 + 2*m + 31?\nAnswer: -620*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 377276.507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2567\/289 - 9 - 294\/102.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from ppjiirrjiiiijqjpppip.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**3 - 90 + 10*y**3 + 92.\nAnswer: 24*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + -1 + -1967 + 2022.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3981150486 - -3981150241.0000107. Let u = -0.0128 - 244.9872. Let n = u - d. Round n to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6 - 6. What are the prime factors of l\/(-1)*(-13)\/(-26) + 16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.17 and 1?\nAnswer: 10.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2174616106 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 10. Suppose y + 12 = -y + 2*n, y - 3*n - 2 = 0. Let v be b(y). Let p(q) = q + 7. List the prime factors of p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 20 - 13)*(18 + 65*k - 19 + 173*k) + (-4 + 1 + 5)*(k - 5*k + 2*k).\nAnswer: 3328*k - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -3*b - 6, -b = 5*d + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**3 + 333*a**2 - 4624*a - 1335. Calculate n(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(3*6\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(60\/1))\/((-3)\/5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f + 2. Let y(k) = k**2 + k - 2. Let v(l) = -4*q(l) - 5*y(l). Let j be v(-5). Does 17 divide 12411\/81 + 4\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = 7. Suppose 7*z = m*z + 15. Suppose 3*y - 7 = -t - 0, z = -y + 4*t. Is y bigger than 7\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 26 + 36 = 0. Solve 5*l - 3*r + b = 0, 0 = 3*r - 15 + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*u + 35*u - p - 29688, -5*u - 3*p = -74209. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650 + 2758 = 124*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by ((-30)\/3 - 0)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*b - b. Let k = 12 + b. Suppose 2*l = k*l - 105. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w + 45. What is the closest to 0 in 1, w, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let a be l(-5). Let g(v) = -13*v + 8. Let m(u) = -8*u + 5. Let t(x) = -5*g(x) + 8*m(x). What is t(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2*i + 0*i**2 + 1 + 10*i**2. What is the units digit of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08956133 rounded to 3 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 15, 14, 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245242 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1047359 * -0.22\nAnswer: 230418.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4 + 4)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 0*x - x + (-3 + 4 - 2)*(3*x - 3*x + 20*x + (4*x - 4*x + 2*x)*(-4 + 1 + 1)) + 1 - 2*x - 1.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 298*y - 143*y - 133*y. Let p(d) = 10*d. Determine z(p(o)).\nAnswer: 220*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1511\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/8 + 13*y\/4 - 232 = 0. What is y?\nAnswer: -58, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Let r be (-1)\/((-4)\/16) - 4. Let q = 2 + r. Let p(i) = -2*i + q*i - 8*i. Give d(p(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139568 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3933 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1745631 divided by -581877.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2774 and 4066?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32, 7, -1.\nAnswer: -32, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 10 = 25*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9030*(0 + 0 + (-16)\/(-32)). Suppose 0 = -2*f - 3*v - z, f + 0*f - 5*v = -2290. What is f rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*b**4\/2 - 3*b**3 + 63*b**2\/2 + 48*b + 18 = 0. What is b?\nAnswer: -2, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14421302501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2. Let y(k) = 770338*k. Calculate y(a(j)).\nAnswer: -770338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*c**3 - 206*c**3 + 81*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.32878, -5, 380 in increasing order.\nAnswer: -5, -0.32878, 6, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 27*p**2 - 506*p + 48. Let a be z(24). Suppose -4*d = 2*b, -d + 7*b + 22 = 2*b. Let i(v) = 3*v - 2*v + d + 1. Calculate i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/16)\/3*(-1)\/5. Let i = l - 1\/12. What is the nearest to i in 1\/4, 0.4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2060, 4075, 6044, 7967?\nAnswer: 9844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5239657873 to the power of 1\/2, to the nearest integer?\nAnswer: 72385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -263 smaller than 1\/170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 97. Is 7 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*w**4 + 5 + 4*w**2 - 3*w - 49*w**4 - 42*w**4 - 3 - w as c*w**2 + r*w**3 + s*w**4 + b + t*w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4902 and -3\/5203.\nAnswer: 593142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1942 = 206*x + 1009 + 139 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2466*t**2 - 1025*t + 3764773.\nAnswer: 4932*t - 1025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 1\/3*r**3 + 0 + 0*r**6 + 0*r**5 - 3\/4*r**4 + 74\/105*r**7 + 3*r - 23*r**2. Find the second derivative of z(q) wrt q.\nAnswer: 1776*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 l, and 1 r when four letters picked without replacement from uutruutlrttuurtmrtlt.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/4)\/w*w)\/w)\/w)\/w)**(-48) assuming w is positive.\nAnswer: w**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*k = 3*g - 1231*k + 44, 9*g - 3*k + 87 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by 236?\nAnswer: -97\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(35)\/(sqrt(14)\/sqrt(18)))**2 + ((1*sqrt(240) - sqrt(240)) + sqrt(60))\/(sqrt(144)\/sqrt(192)).\nAnswer: 4*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Let j be l(-2). Suppose o + 4*o + 2*z - 13 = 0, 15 = 4*o - 3*z. Calculate the common denominator of (4\/o)\/j*-1 and -16\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 194 = -4*y, 3*y - 12*p + 11*p = -121 - 34 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112143102 + -220?\nAnswer: 112142332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 6*l + 6. Suppose 0 = -5*x - 3*r + 20, 2*x + 6*r - 11*r - 39 = 0. Suppose 3*j = x*w - 2*w - 27, -2*w + j = -10. Give b(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toi when three letters picked without replacement from {i: 1, t: 1, o: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.5279489 to 0 decimal places.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 24. Is 4 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 10. Let n be m(-7). Suppose 2 = -y + 5. Put 0, y, n in ascending order.\nAnswer: 0, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173817597521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixc when three letters picked without replacement from cccpxicxcy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r + 1924 = -5*r. Let z be 994\/(-22) - 2\/(-11). Let h = 7 - z. Calculate the highest common divisor of h and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003584 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 4*k - 3. Let h be s(-3). Suppose h = 3*q - 8*q. Is 2 - (q - 1)*63 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -293.1000013359 + 293.1. What is w rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, 5, -10835?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 108 = 21*i, -4*i - 22450 = 5*m - 22496 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 292428826 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 190226 (base 10) to base 2\nAnswer: 101110011100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -74555 - -124247. What are the prime factors of j?\nAnswer: 2, 3, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -12) + 6 - (12 - 10)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 834506 + -465825. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 2*i - 2. Let j be n(2). Let u(a) = -a**3 + 6*a**2 + 9*a - 7. Let l be u(7). Solve -j*b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**5\/12 - 26*z**3 + 90. Let t(u) be the third derivative of n(u). Let f(b) = 19*b. Give t(f(g)).\nAnswer: -190*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35\/8 - -191\/40. Let i = 13\/5 - 49\/15. What is the third biggest value in -5, a, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - -0.21. Let b = -0.0999987 + o. What is b rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -2575 - 3669. Let h = l + 462. Calculate the remainder when 175 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - b - 1 = 0, 3*p - 4*b = -3*b - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 968521065 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2126*g + 86*g - 65828 + 46071 = 154991 for g.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by -317\nAnswer: 165\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 + 23 = 0. Let w(k) = -f*k + k + 4*k + 2*k - 4. Let p be w(4). Solve 3*z = 16 - p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)\/(f**(-1\/7)\/f)*(f\/f**(2\/23)*f)\/((f\/(f\/(f*f\/(((f\/(f*f*f**(-1\/4)))\/f)\/f))))\/f) assuming f is positive.\nAnswer: f**(-1735\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 87 = -9*j, -1485041*j + 4*c - 163 = -1485042*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 224711509 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/186485?\nAnswer: -2\/186485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 10*r**2 + 21*r + 76. Let s be x(-8). Sort -22, s, 2, -5 in decreasing order.\nAnswer: s, 2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -5 (c) -5\/3 (d) 13 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 18*i + 11. Let s be 2\/(-2) + (5 - i) + -1. Suppose 3*h = -5*b + 460, b - 5*h + s = 94. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**7\/105 + j**6\/80 + j**5\/120 + 7*j**2 + 4*j. Factor d(u).\nAnswer: -u**2*(u - 1)*(4*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 18 = -10*z. Suppose 12 = 3*d + 2*c - 3*c, 0 = d + 3*c + z. Suppose -3*y + d*b = -y - 493, y - 3*b = 239. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -365 + 1037. Suppose d + k = -d. Let t be 3\/(2\/(d\/(-9))). Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 4*g**2 - 7*g - 6. Let w be o(-5). Suppose 2*n = w*f + 44, 5*n - 5*f - 142 = -3*f. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132650 + -1153?\nAnswer: -134133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:39 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -0.326, -0.6, -7 in decreasing order.\nAnswer: -0.326, -0.6, -7, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/387 and -4\/83017.\nAnswer: 32127579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 3*l + 3*l + (-3 + 5 - 1)*(-l + 0 + 0) + (15*l - 141 + 141)*(-6 + 2 + 5) to the form c*l + z and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0842909 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -703, -1429, -2155, -2881, -3607?\n\"Answer: -726*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(4\/(-2) - 20). Let u = f + 44. Suppose -b + 0 + 3 = u. Solve -2 + b = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**4 + 363*g**3 - 590*g**2 + g + 2?\nAnswer: -168*g + 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 80 - 96 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-27) + (-4)\/(-18). Suppose 25 = w*r + 2*r. Find the second derivative of -o**r + 4*o + o + o wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2734496 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.14 or 11035576?\nAnswer: 11035576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16*(-3 + (-15)\/(-6))*-1. Let w(f) = -f**3 - 9*f**2 - 6*f + 3. What is w(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804\/902*22\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*m - 14, 0*m + m + 2*p - 4 = 0. Let h(x) = 179*x**2 - 31*x**m + 1 - 5*x**2 - x. Is h(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -7 - 25. Solve -8 = -0*w - b*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389340 = -6100*s - 8320*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-112)\/(-196))\/(6\/(-7)). Let d be -2*(-3)\/(-10) - -1. Are d and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*7673581\nAnswer: -3069432.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-2 + sqrt(19)*-3)**2) + sqrt(19) - (sqrt(57)\/(sqrt(27) + sqrt(3)))**2 - (1*2*sqrt(95))\/(-1*2*sqrt(5)).\nAnswer: -2819\/16 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 204273342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Suppose 0 = n - 5*s - 5, -3*s + w*s - 47 = -3*n. Let f = -39 - -67. Calculate the remainder when f is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*b + 2*v - 83, -v = 0. What is the highest common divisor of 45 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 238 = -4*w. Let p be (-1)\/1 - (-3)\/108*w. Let f(b) = -b**2 - 5*b - 4. Let o be f(-4). Is p > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68748, -137636, -206664, -275832?\nAnswer: -345140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 370975 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: What is -1473 minus 11025?\nAnswer: -12498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(3\/4)\/(f**23*f**(-33)*f) assuming f is positive.\nAnswer: f**(147\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92231 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - o - 154, 5*v = -4*o + 93 + 110. Suppose -4*y + v = -y. Calculate the remainder when 24 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 4\/7, -3\/5, 5\/24?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**4 + 627*s**2*z - s**2 + 2*s*z - 6501*z wrt s.\nAnswer: -4*s**3 + 1254*s*z - 2*s + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, -0.5, -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 228 + 38. Suppose z + 8 = -z. Let m(g) = 2*g**2 + 6*g + 5. What is the remainder when h is divided by m(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, c: 2, b: 3, u: 4, p: 2}. What is prob of sequence bpo?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221085 divided by 51?\nAnswer: 2221085\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 + 1860*v**4 + 22211*v**3 + 64668*v**2 - 22212*v - 66528 = 0.\nAnswer: -1848, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -47*d**3 - 10*d**2 - 24*d + 66. Determine o(-4).\nAnswer: 3010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6928\/21 - 1006\/3. Find the common denominator of (-4)\/4 + 36\/(-16) and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.41 + -1.41. What is the biggest value in -0.6, -1\/3, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(7\/(-84)). Calculate the smallest common multiple of (-27)\/(-6)*120\/w and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/3 - 18*n - 84 = 0.\nAnswer: -21, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 17745.3, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*s = -12, s = 72 - 75 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(h + 0*h - 3*h) - 4*h - 12 + 12.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 115, 128, 141, 154, 167?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x + 2*d + 32 = 0, 4*d - 46 = -5*x. Suppose -5*w - x = 5. Let g be 8\/56 + (-34)\/42. What is the smallest value in w, -1, g, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, -12\/371, 2\/23?\nAnswer: -12\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24881 and 358.\nAnswer: 49762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 747, 1126, 1509?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/12 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 7*h - 8. Let d be j(-6). Let s(p) = -p**3 - 7*p**2 - 4*p - 12. Let r be s(-7). Let o = -12 + r. Sort o, d, -24.\nAnswer: -24, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.152 + -6.152. Let s = -0.36 - -40.36. Let k = s - 40.1. Which is the closest to k? (a) t (b) 2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 5*z**2 + 6*z + 9. Let r be w(-4). Let g = 132 - r. What is the highest common divisor of g and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 29. Let z = -1.8 + 2. Let j = -4 + 4.4. Which is the nearest to 2? (a) z (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 7*(5 + (20\/(-4) - -4)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 16512*x - 16499*x. Sort 4, x, -36 in increasing order.\nAnswer: -36, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eesssisuuesois. What is prob of picking 1 e and 1 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4*q**2 - 7)*(-3 - 1 + 2)*(q + 0*q + 10*q).\nAnswer: -88*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -12, -1, -6 in decreasing order.\nAnswer: 7, -1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/315*-10)\/(40\/(-18))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Suppose -8*t + 28 + 228 = 0. Calculate the highest common divisor of 6432 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -3, -4, -0.4, 9\/31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/5 + 221*a**3\/5 - 654*a**2\/5 - 4*a\/5 + 872\/5 = 0. Calculate a.\nAnswer: -1, 2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04900915 rounded to 4 decimal places?\nAnswer: 1.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*t + 24*t - 5*t + 36*t)*(-2*t - 5*t + 5*t).\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 8*j - 14. Let w be i(-5). Let v be -2*(-2 + w\/(-12)). Which is smaller: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6553*n**3 - 2182*n**3 - 2189*n**3 + 925 - 2183*n**3.\nAnswer: -n**3 + 925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 7*k**2 - 6*k - 10. Let i be x(8). Let d be 44\/52 + i\/39. Let f = -8 + 12. Sort f, 3, d in decreasing order.\nAnswer: f, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383, 921, 1823, 3095, 4743, 6773, 9191, 12003?\nAnswer: 15215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.144 + -0.056. Is j not equal to 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2575384 divided by 321923?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1851336 and 214275?\nAnswer: 8571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 678.\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 59*v**2 - 576*v + 15858. Give n(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(153) - sqrt(17)) + (-3 + sqrt(153))**2.\nAnswer: -16*sqrt(17) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 + 11754*y + 117465\/2.\nAnswer: 3*(y + 5)*(y + 7831)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a + 50. Suppose 6*y - 2*y = 12. Suppose y*b - 20 = a. Calculate the lowest common multiple of b and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/12 - 2*b - 1. Let m(d) be the first derivative of q(d). Let y(u) = -5*u + 5*u + u**2. Calculate m(y(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 154*v**3 - 1692*v**2 - 4176*v.\nAnswer: 2*v*(v - 87)*(v + 4)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(3\/5)\/y)\/y*y)**28\/(y**(-4)\/(y*y**(-7))) assuming y is positive.\nAnswer: y**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 121431403443?\nAnswer: 121431403442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p, -h - 3*h - 5*p = -37. Suppose 7*q = -4*a + h*q + 112, 0 = -2*a - 3*q + 58. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29951665\/6 or 4991943?\nAnswer: 4991943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.56829 and 10.\nAnswer: 8.43171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1988 and 12?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3*364.75\nAnswer: 1094.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2539 divided by 13\nAnswer: 2539\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 27*p**2 + 523*p**2 - 3 to h*p**2 + s + u*p and give h.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = j - 5*x - 7, 4*x + 28 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 404 + -9a?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = j, -3*j - 5*x = -2*x - 27. Suppose -3*b = -6, -4*b + 108 = j*k - 475. What is the greatest common divisor of 92 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10798 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: Let n be 196\/(-6) - (2 - 1)\/3. Is 17 a factor of (-22)\/n + 202\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a second in milliseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*a = -76*a + 4345. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2\/2 - 304. Let g(q) be the second derivative of 8*q**3 - 15*q. What is g(u(o))?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16369*p + 208 = -2*g - 16374*p, 2*p + 202 = -2*g for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -5*g + 4*s, s + 0*s + 224 = 3*g. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 6:14 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:07 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 5, -9, -3, 0.3, 0.5 in descending order.\nAnswer: 5, 0.5, 0.3, -0.07, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Let r be -3 + g + 1 + 18. Solve -2*y - 3*y = -r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 8*p - 16. Let t be ((-14)\/(-3) + p)*(-6)\/(-20). Find n such that -t*n**2 - 16\/5 + 8\/5*n = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76066.003 + 76028. Let j = x + 38. What is j rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4080 and 900048?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 42*c - 56. What are the prime factors of q(7)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 56*d**3 - 114*d**3 + 116*d**3.\nAnswer: 58*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7720 and 560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 15) to base 7.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*i - 0*i + 6, 5*t - i = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*j + 100*j**2 - 44*j + 13 + 89*j wrt j.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 2*u + 7. Calculate k(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -68) + -13 + (16 - 15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -6. Let t be 9\/(-14)*(-14)\/12. Let j = 0.198 - 4.198. What is the closest to 0 in u, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n - 56 = -98*n. Let g be 3 + 14\/n - 51\/9. What is the nearest to g in -0.3, -5, 0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, 29, -157 in descending order.\nAnswer: 29, 0, -24, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -27*k - 2. Suppose 204*i - 23*i - 362 = 0. What is j(i)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -10*i**2 - 31*i + 6. Let u(y) = -2*y**2 - 6*y + 1. Let x = 199 - 197. What is x*n(h) - 11*u(h)?\nAnswer: 2*h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -415\/6 - -69. Let p = 21.78 - 22. Let g = p + -0.08. What is the third smallest value in g, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/15558 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q, -2*l - 2*q + 13 = 1. Let u be -2 - (-22)\/l - 1. Factor u - 2*k - 2\/3*k**3 + 2*k**2.\nAnswer: -2*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.6, 0.0069, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 133559998\/7 - (-2)\/7. Suppose 27*z - l = 31*z. Round z to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = -4*u. Let l be 26\/(-14) - 2\/u. What is the smallest value in -0.4, l, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -695 by 3.\nAnswer: -695\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 2. Let a be d(2). Let y be 6*(a\/(-2))\/(-34). Let u = 35\/51 - y. Is u >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 6904*h**3 - 3925008*h**2 + 707255712*h + 15770989440.\nAnswer: -4*(h - 582)**3*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035327 to 5 decimal places.\nAnswer: -0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(1*(sqrt(11) + 3*sqrt(11))))\/(6*(sqrt(180) + 3*sqrt(180))) + 5.\nAnswer: sqrt(5)\/576 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*h**2 + 8*h**2 + 9*h**2 to the form l*h + o*h**2 + g and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*c + 12 = 0, 0 = -0*k - k + 3*c. Suppose -k*w = -17*w + 368. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (164 + 24*y + 13*y - 39*y)*(-2*y + 3*y + 2*y) in the form o*y**2 + d + n*y and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzzz when four letters picked without replacement from {g: 6, z: 4, u: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13*y = -2223. What are the prime factors of y?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 847 + -846.8. Suppose 3*m = m - 10. Suppose 4*g + 0*g = 0. Which is the closest to 16? (a) n (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 17*q - 22*q + 91 = 0, -4*w = 3*q - 85. Suppose 0*i - 4*i = -224. What is the remainder when i is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*d*n**3 + 1561*d*n**2 - 878*n**3 - 2*n**2 - 1 wrt n.\nAnswer: 204*d - 5268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*k + 4178237 = 77022, 16404791 = 4*t + 3*k. What is t rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 2, d: 2, x: 4}. Give prob of sequence xx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -32. Let j(y) = -5*y - 12. Let p = -22 + 16. What is the lowest common multiple of j(p) and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/31, -4, -0.401.\nAnswer: -5, -4, -0.401, 3\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -4 - -4) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 2, x: 9}. Give prob of sequence vv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:06 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82101439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8244005 divided by -115.\nAnswer: -71687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11745\/1044*(-1 + 0 + -1). Which is smaller: i or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a + 1819. Determine o(-102).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13798 + 85047 = 3*u - 160072. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x**2 + 0*x**2 - x**2. Let m = -118 - -235. Let h(t) = -60*t + m*t - 58*t. Give h(g(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 1\/2, 0.06, -5, 13.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1755 - -1809. Let t be -2 - -3*1 - 1. Are q and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a = 32. Let n = a + -12. Let l = 124 + n. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84365734109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 84 = 3*p + 44, -4*s + 17*p = 217 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1200000101?\nAnswer: -1200000033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -4\/3329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and -3.31144.\nAnswer: -15.31144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 9*u + 2. Let j be c(9). Suppose v - j*f - 3 = 0, 0 = 2*v + 4*f - 6*f - 6. Let x be (2 - 0 - 3) + v. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -29*v - 3. Suppose 0 = -53*w + 270 + 737. What is the remainder when r(-4) is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 55 + -24 + 11.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -36. Let f = -4.4 + h. Sort f, -0.3, -2 in ascending order.\nAnswer: -2, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 4.8. Let p = 1 - 0. Let v be 7\/2 + 4\/(4 + -5). Sort x, p, v in descending order.\nAnswer: x, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x**6))\/x)\/x**(-3\/10))**46\/((x*x**0)\/x**(-2))**41 assuming x is positive.\nAnswer: x**(-1926\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)*(-26)\/(-4). Solve h*m = 18*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1286 + -881. Suppose -11*t - 16*t + i = 0. Let w be 1\/(-3) + (-10)\/(-3). Calculate the greatest common divisor of t and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1\/9, 16, 130?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, r: 1, c: 7}. What is prob of sequence rlcl?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 23*c - 59 + 30 + 28 + 23*c. What is the tens digit of p(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11622 and 43368.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/11417310 or 0?\nAnswer: -19\/11417310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 48 = 23*g - 3*o, 3*g - 17*o = -19*o + 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 0.3158, 0.4?\nAnswer: 0.3158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233847754?\nAnswer: 2, 7, 16703411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3977\/3121 + -9011177\/2022408. Let d = g - -17\/162. What is the common denominator of ((-11)\/(-22))\/(4\/30) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, -98, -176, -292, -458?\n\"Answer: -2*d**3 - d**2 - 35*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/13, -8931 in increasing order.\nAnswer: -8931, -0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + 0*o)*(-60 + 60 + 11*o + (-2 + 3 + 0)*(0*o - o + 0*o) - o + 4*o + 5*o).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1533463 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-585)\/27 - -18) + 16\/28*21\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(17)*-3 - sqrt(17)) + (sqrt(612) + sqrt(612) + -4 - sqrt(612) - sqrt(612)).\nAnswer: -4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.068 - -0.068. Let v = -467\/5 - -94. Sort -1\/7, u, v in descending order.\nAnswer: v, -1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213412024 (base 5) to base 14.\nAnswer: -19d207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.9205 + -93. Let b = 0.0795 + r. What is the closest to 0.1 in 4, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 440 and 493 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103 or -413695?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*w**2 + 102*w**2 - 341*w**2 + 57 + 97*w**2 + 153*w**2 - 59.\nAnswer: 122*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/i)\/(i*i**(-4\/5))*(i**(-2)*i)\/i**(-7))\/((i*i**(2\/3)*i)**(-14)*(i*i**(-3))\/((i\/i**(-2\/11)*i)\/i)) assuming i is positive.\nAnswer: i**(6982\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(425) - sqrt(17)) + 1)**2 + -5.\nAnswer: 32*sqrt(17) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08064 - -0.21936. Which is the closest to 3\/4? (a) w (b) -0.28 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, a: 2, x: 1, n: 1, u: 1}. What is prob of sequence nx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(1 + (-1*sqrt(117) - sqrt(117)) + sqrt(117) + -1) + 2)**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*s)**18*s**(-2)\/s*s\/(s\/(s\/s**(1\/3))*s)*s)**(2\/25) assuming s is positive.\nAnswer: s**(202\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5408464353424 - 51*f**2 + 5408464353424.\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-28)*15\/(21420\/(-98)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4873 divided by -6.\nAnswer: -4873\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*k + 3*r, -5*r = -k + 24. Let l be (0\/(k + -3))\/2. What is c in 0*c + l + 0*c**4 - 1\/4*c**5 + 0*c**2 + 0*c**3 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 15, -81, -31 in increasing order.\nAnswer: -81, -31, -8, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -k + 4, -7*k - 2*o = -3*k + 26. Let w(u) = 2*u + 5. Let d be w(k). Let n = 0.1 + -0.1. Which is the nearest to n? (a) d (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210386701, -5, 3 in descending order.\nAnswer: 3, -5, -210386701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42 - 0.12. Which is the second biggest value? (a) 2\/23 (b) q (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 - 5*o**2 - 4*o. Let i(k) = 4*k**3 + 5*k**2 + 4*k. Let b be ((-2)\/(-6)*10)\/((-4)\/(-6)). Let y(f) = b*s(f) + 6*i(f). Give y(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*d + 718431 = -188*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179224, -717297, -1614056, -2869477, -4483536, -6456209, -8787472, -11477301?\nAnswer: -14525672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -3091060?\nAnswer: 3091059.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2. Let o(g) = -3*g - 4*g + 8*g. Give c(o(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1060855273+-994\nAnswer: 1060854279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*y - 10*y - 200 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013 * 213771.7.\nAnswer: -2779.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 4289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9, -0.4, 2, 1\/13, 0.07?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 + 2*b**2 - 3*b - 21. Let t(x) be the first derivative of -5*x**4\/4 + 2*x**3\/3 - 2*x**2 - 20*x - 8427. Determine 4*o(m) - 3*t(m).\nAnswer: -m**3 + 2*m**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380894 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 121, 5, -2 in descending order.\nAnswer: 121, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199043840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:26 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 5*r - 6. Let y be (-3)\/(-4) - (-26)\/8. Let c be g(y). Let o = -0.06 + -0.04. Put o, c, 1 in ascending order.\nAnswer: c, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4817*j**3 - 14*j**2 - 6*j + 1. Let l(y) = 9627*y**3 + 32*y**2 + 13*y - 2. Determine -9*g(a) - 4*l(a).\nAnswer: 4845*a**3 - 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16*s + 12. Let t(i) = -i**2 - 7*i - 17. Let r be t(-5). Let f be c(r). Suppose -f = p - 874. What is p rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**8\/336 - n**4\/4 + 5*n**3\/3 + 4. Let c(s) be the third derivative of f(s). What is the first derivative of c(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8327297ms to microseconds.\nAnswer: 832.7297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492 and 2132.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/42 - (-14)\/28)\/(40\/(-28))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10923 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, 0.3, -0.4, -6\/11, -0.3 in decreasing order.\nAnswer: 0.3, -0.3, -0.4, -6\/11, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335967 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.19143ml in litres?\nAnswer: 0.05019143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 81, 72, 63?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 50 = 2*f, -58*j = -53*j + 3*f - 6*f + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*q = -132 + 552. Suppose v = 4*v. What is the closest to v in q, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -865\/84 + 485\/42. Factor -5\/4*q**3 - 5\/4 + x*q + 5\/4*q**2.\nAnswer: -5*(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-200)\/(-15))\/5)\/(((-42)\/(-45))\/7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179929330 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(300)*-2 + 0 + sqrt(300)))**2.\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2221*s**2 - 6*s + 8. Suppose v - 2*v - 6 = 0. Let q be z(v). What is q rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfppfppfpf. What is prob of picking 2 f and 1 p?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-22) + (-2)\/11. Suppose -z - 15 = -11. What is the smallest value in c, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - (15 - (-40 - -47)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 2*r)*(-r + 2*r - 4*r)*(92*r**2 - 41*r**2 + 33*r**2).\nAnswer: 252*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27846 divided by 442\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -4, -1905, -680, -1 in increasing order.\nAnswer: -1905, -680, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -5, 5, -3\/5 in increasing order.\nAnswer: -5, -3\/5, 0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-81)\/(-36))\/(4\/16). Solve -11 = -k*m - 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (51 - (1 + 2)) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3582 and 139\/19104.\nAnswer: 57312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 28 + 0*w**3 - 2*w**3 - 9*w to y*w + b*w**3 + f*w**2 + n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5 - 20. Suppose l*p - p = 6. Suppose -2*j + 90 = p*j. Calculate the least common multiple of 10 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 164892.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -3\/5, -6.2, 3, 13\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1118, -1117, -1116, -1115, -1114?\n\"Answer: n - 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -36*q**3 - 397*q**2 + 2269*q + 25096. What is i(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6410*p + 92*p - 1 + 1 to the form a + z*p and give z.\nAnswer: 6502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28224396 by -6.\nAnswer: 4704066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*57\/56240)\/(12\/64)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1024*m + 1026*m + 14 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0049 in -4\/9, 17, -0.6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.5. Let n = 960.11 - 956.11. Which is the closest to 0? (a) -18 (b) n (c) 4\/3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 5. Let f be q(4). Let v(i) = i**2 + 7*i + 6. Let j be v(-6). Let o be j - ((-21)\/(-8) - 3). Is f smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -107, 17, 265, 679, 1301?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -53*n + 80, 0 = -y - 4828*n + 4826*n + 17 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -23, -0.4, 1\/26, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.9. Let h(f) = -371*f - 3714. Let c be h(-10). What is the second biggest value in c, j, 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(-1)*-6. Let o be (-2 - -1)*(-3 - i). Let p be -12*(2 - 16\/6). Solve p*y - 3*y + 15 = o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 39?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -48050479?\nAnswer: 4\/48050479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 137*w - 512*w + 125*w - 2.\nAnswer: -524*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, f: 4, j: 3, t: 1}. What is prob of sequence ftm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/12 (b) -3754 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-seven quarters of a meter?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2464 and -67\/38976.\nAnswer: 428736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*x = 130*x - 24. Suppose 56 = 3*a + x*h, 0*h = -2*a - h + 29. Solve -2*j = 3*g - 23, 3*j + 0*j - a = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 498*i**4 + i - 12564 + 13666 - i + 538*i**4 wrt i?\nAnswer: 4144*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 plus -7475460.075?\nAnswer: -7475184.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 4895*i**2 - 1195600*i + 1200500.\nAnswer: -5*(i - 1)*(i + 490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(153)*-2 + -3).\nAnswer: 21 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3576 and 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmg when three letters picked without replacement from {g: 2, m: 1, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9237.099 decades?\nAnswer: 923.7099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -27. Suppose -12*y - a = -16*y. Suppose -2866 = -y*g + 619. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, o: 2}. What is prob of sequence coo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1341 + 21*p - 1341.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/13 + 350112*t**2\/13 - 1050354*t\/13.\nAnswer: 2*t*(t - 3)*(t + 175059)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, 753, 1539, 2325, 3111?\nAnswer: 3897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1224400030 - -12?\nAnswer: 1224400042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x + 106. Let v be j(-28). Calculate the highest common divisor of 121 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Suppose -i = 2*g - 733, -j*g - 5*i = -3*i - 1835. Let l be -1*(-4 + g)*1. Round l to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (440\/72)\/(-11)*3\/(-2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**3 + 19*s**2 + 7*s + 11. Let n be q(9). Let h = -2208 - n. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -10. Let i = 4.8 + n. Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 7. Let p be n(8). Let r be ((-78)\/13)\/(1\/p). Suppose 9*f - 111 = r*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12 = 11*a. Is (1277\/a)\/(2\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:01 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**2\/3 - 106*m\/3 - 20.\nAnswer: -2*(m + 10)*(5*m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -972, -1355, -1610, -1695, -1568, -1187, -510?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 30. Let m be 3\/(2\/(-6)*c\/4). Suppose 138 = m*h + 5*r, -2*h + 202 = h + 5*r. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0*i**2 + 10*i + 0*i**6 - 5\/6*i**4 + 0*i**5 + 0 + 0*i**3 + 11\/42*i**7. Find the third derivative of z(y) wrt y.\nAnswer: 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q + q)*(119 - 29 + 5*q - 212).\nAnswer: 10*q**2 - 244*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 43, -1.33, 0, -5, 35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243100 (base 6) to base 8.\nAnswer: -51654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144315?\nAnswer: 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/19, -5, -6\/7, -0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**1)\/(o\/o**(-5)))\/(o*o\/(o**(1\/3)*o))**(-17) assuming o is positive.\nAnswer: o**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -48640912 divided by -38\nAnswer: 1280024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 525 = -21101. Let x = h + 124. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 4*q**3 - q**3 + (9*q**2 + 175*q - 175*q)*(0*q + 3*q + 0*q) - 26*q**3 - 211*q + 211*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a**2 - a + 9. Determine d(-3).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-126)*(-6)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a**3 + a**2 - a - 1. Let u be t(3). Let r = u - 213. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 10 = -o. Let x(j) = -j**3 + 3*j**2 - 3*j + 2. Let n be x(o). Which is the smallest value? (a) 1 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 1. Let n(f) = -10*f + 4. Suppose -l - 1 = 2*q - 3*q, 4*q = 2*l. Give l*n(j) - 7*k(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11845360 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*k + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifi. Give prob of sequence ifi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/60 and 8\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.146, 8, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1553 + 1553 + 5*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 36 - (11 - (-1 - -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:54 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 166*m + 12578. Determine x(-80).\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 2*y - 294 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.488 - 2.512. Which is the third smallest value? (a) g (b) 3\/7 (c) 11 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = -3*c + 38. Suppose h = -4*f + 4645, 4*h + c*f - 4201 = 14393. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 127*f**5\/5 + 91*f**4\/3 - 708*f. Find the third derivative of a(q) wrt q.\nAnswer: 3048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**5\/20 + i**4\/3 + i**3\/6 - 2*i**2 - 10*i. Let d be n(-2). Calculate the greatest common divisor of 3 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + 3\/(-9)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40448.27969 to the nearest 10.\nAnswer: -40450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 90 = -18*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d - d)*(-4*d + 2*d + d) - 2*d - 179*d**2 + 96*d**2 + 6 + 96*d**2.\nAnswer: 15*d**2 - 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 221 = -53*l. Let c(s) be the third derivative of -2*s**2 + 0 + 0*s**l + 0*s + 0*s**3 + 11\/60*s**5. Let m(r) = 2*r. Determine m(c(o)).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 25363 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 122, 213, 292, 353, 390?\n\"Answer: -l**3 + 98*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 48*f - 90. Let a be l(-2). What is the third smallest value in a, 3, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 2. Let t be m(-6). Suppose -t = 6*h - h. Let s = -14 + 15. Put s, 0, h in ascending order.\nAnswer: h, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41\/169 - -2\/169. Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -69, -26, 55, 186?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78323*v - 525 = -78298*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.8815586 to 1 dp.\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.212 (c) -1.2 (d) -1\/5 (e) 0.14 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8*z - 36*z + 32*z**2 - 74*z**2.\nAnswer: -42*z**2 - 28*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -3620.09\nAnswer: 724.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqpppkncqqq. What is prob of sequence kq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 903 (b) 70 (c) -4\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3 - 13 + 6 + 2 + 3. Let j(g) = -5*g - 3. Give -j(x) - 4*l(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6077 and -0.94?\nAnswer: 6076.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + 5*d**2 - d**2)*(0 - 3 + 0)*(79 + 47 + 20)*(-4*d - 3*d + 6*d) to a + p*d**2 + z*d**3 + r*d and give z.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193604\/7 greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence den when three letters picked without replacement from koeonkodehedon.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4177 + 4184. Calculate the greatest common divisor of s and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206925 is divided by 41385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 10) in base 12?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(sqrt(80) + sqrt(5)))\/(sqrt(66)\/(sqrt(36)\/sqrt(6)) + sqrt(11)) - (-6*sqrt(48)*-6 - (0 + sqrt(243) + 3)))**2.\nAnswer: -4047*sqrt(3)\/5 + 5460303\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/27 and -79\/515394.\nAnswer: 1546182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/8 and -31\/106?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13775*p**3*v**2 + p**3*v*z - 105*p**2*v**2*z**2 - 281*p**2*v*z**2 + 50*p**2*z**2 + 2*p**2 + p*v - 1 wrt v?\nAnswer: -27550*p**3 - 210*p**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5128942 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2357*l + 2357*l + 11695*l**2 - 10048*l**2.\nAnswer: 1647*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 12480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3627 divided by 31.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 66*i - 60. Let a be c(1). Solve 5*g - 4*m - 36 = 0, -4*m = 4*g - a*m - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:58 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-9)\/75)\/((-372)\/(-868)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127959 + -27470.6.\nAnswer: 100488.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-146)\/(-146))\/((-2)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -948, -949, -950, -951, -952, -953?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*y**2 - 38*y**6 - 16*y**2 + 6*y**2 + 8*y**2 wrt y?\nAnswer: -4560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/10117520 and -83\/1392?\nAnswer: 30352560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-5 - (2 - (4 - -1)) - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**3 - x**2. Let o be n(1). Solve 4*c - c + 3*c**2 + 3 + o*c = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 7*v**2 + v - 1. Let x be m(7). Find a such that x*a**2 + 8*a**3 + 3*a + 2*a**4 - 2*a - 2*a**3 + a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(243) + 4 + -2*sqrt(243) - -3*1*sqrt(243))**2 - (sqrt(243) + sqrt(243)*2*-1 + -1)))*-3.\nAnswer: -2952 - 459*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 - 3.89. Let i be (3\/(0 - 1))\/(-2). Sort i, g, -2.\nAnswer: g, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545193992 a multiple of 4473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - -72. Suppose 0 = -135*d + 129*d + v. What is the highest common divisor of d and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + (4 - 3) + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -208 + 219 - ((18 + -8 - 73) + (-5 - 1))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4 + 20*x**2 + 5 + 4 + 7*x**2 - 4 + (2*x**2 - 4*x**2 + 4*x**2)*(-6 + 4 + 1).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 5. Let z(x) be the first derivative of -x**2 - 6*x + 5. What is -7*y(t) - 6*z(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 1 - 70. Let y = -71 - u. Put -6, -7, y in ascending order.\nAnswer: -7, -6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n - 38. Let i(j) = 5*j - 13. What is -11*i(c) + 4*l(c)?\nAnswer: c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 - 67. Let s be (-3)\/(-6)*(4 + -4). Suppose s = -u + 2, q - u - v = -q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*m + 12 = 0, -94*l = -95*l + 4*m + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*m - 146*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/13)*n)\/n*n**15 assuming n is positive.\nAnswer: n**(199\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 14. Let u be m(-17). What is the closest to 0.1 in u, 5\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3384 and -28\/3819?\nAnswer: 4307832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00721 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62300061701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnmicmmmmimiicmmccm. Give prob of picking 1 c, 1 i, and 2 n.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104892058.\nAnswer: 2, 52446029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*v + 93, v + 42 = 3*v - 4*s. Let i = 30 - v. What is the remainder when 42 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837*l**3 + 12*l**3 + 438*l**3.\nAnswer: 1287*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 8*3*30\/(-108)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -349*n - 171?\nAnswer: -349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 54. Let v(o) = 3*o + 32. Let w be v(-12). Let z be 21 + w\/3*3. Solve c*d + q = 11, -z = -d - 4*d + 2*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 4*r**2 - 26*r - 57. What is x(-5)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 50*m + 14953. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 5. Find the first derivative of 6 - 3*o**2 - o**2 - f wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/11 + 809080*z\/11 + 81826305800\/11 = 0?\nAnswer: -202270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -1.1, 0.4, 0.1, 0.01?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 64.75302318.\nAnswer: 62.75302318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 + 114?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*z - 42*z + 62*z - 146*z + 60*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 74487*d**2. Let c(i) = 2*i**2. Determine k(c(a)).\nAnswer: 297948*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/1690 and -46 - -45 - 7959\/(-4056) - (1 + 0).\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/32*(132\/5)\/(-1). Let u = 137 - k. What is the remainder when 5 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {b: 1, g: 2, h: 4, x: 2, j: 4, w: 7}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 61 + 4*t**3 - 3*t**3 - 57.\nAnswer: t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/216 and -51\/892424.\nAnswer: 24095448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 185 and -0.51?\nAnswer: -94.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 10. Let w be b(5). Let g = 18 - 29. Let s = g + 15. Solve -q - s*c + 3 + 20 = w, 3*c = -2*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -6)*3\/6 + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*p = -115*p + 179*p - 1212 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -32106\nAnswer: 32106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -2.3. Let l = -2.0000062 + u. What is l rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17651? (a) -1\/5 (b) -224 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12804025)\/(-10) + (-165)\/66. Round z to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**5\/25 - 11*a**4\/10 - 52*a**3\/15 - 16*a**2\/5 - 110. What is l in u(l) = 0?\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5538*t + 33180. What is d(-6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 588 and 6321.\nAnswer: 25284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m. Let r be (2 + m)\/((-20)\/30). What is the units digit of -1*(0 - r) - -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -21) + -14 + 11 + (-2 - -3) - -55.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824*k = 897*k + 219. Let c(m) = 9*m - 2. Let w(q) = -10*q + 1. What is k*c(y) - 4*w(y)?\nAnswer: 13*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14571426 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -18*z - 37. Let s be m(-10). What is the third derivative of 10*t**2 - 113*t**3 + 30*t**2 + s*t**3 wrt t?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6153 times -17?\nAnswer: -104601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 0 + 720*z + 2.\nAnswer: 720*z - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5011.13 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/125)\/n**(-11)*n\/((n*(n**(1\/26)\/n*n)\/n*n*n)\/n)*n*n**36*n*n assuming n is positive.\nAnswer: n**(162427\/3250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6*18\/(-2160)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1*(-1 - -4)). Let v(l) = -l**3 + l + 34. List the prime factors of v(q).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -2721, -1, 3 in decreasing order.\nAnswer: 3, -2\/35, -1, -2721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from yyhhjxhxh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q. Let r = 105 - 100. Let t(k) = 9*k**2 - 2*k + 21*k - r*k - 10*k. Give -4*c(a) + t(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e1 - -2a1ead?\nAnswer: 2a1dbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + (-4 - -3) - -15) - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10890 + -10888. Solve p = 32*w - 222 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (10 - 5) + 5. Suppose h - l*j + 12 = 0, -h + 5*h = 2*j + 22. Solve -h = 3*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 48. Is 5883\/9 + 4\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/108 - 10\/(-12))*1. Determine x so that 1\/2*x**4 + 1\/2*x**3 - 3\/2*x**2 + y - 1\/2*x = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3542)\/(-209) - 123\/(-2337)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 - -2106302?\nAnswer: 2106300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2241 = m, 4*m - 17*x + 22*x - 9029 = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 545302 - -3?\nAnswer: 545305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*v**2 + 17 - 5*v + 17*v**2.\nAnswer: 15*v**2 - 5*v + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43919.5 (b) -3 (c) 0.1 (d) 5 (e) -2\/63 (f) 3\/4 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, z: 14}. What is prob of sequence zz?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(2\/19))*(u**4\/u)\/u*u)\/(u\/((u*u*u\/((u**(-2\/5)\/u)\/u)*u)\/u))**(-1\/3) assuming u is positive.\nAnswer: u**(407\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27162*s**5 - s**2 - 2*s + 100 wrt s.\nAnswer: -1629720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67231097 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w + 26. Let v(t) = -3*t**2 + 22*t - 105. Determine 9*m(f) + 2*v(f).\nAnswer: 3*f**2 - f + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -47. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1371400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 1289*j + 105859. Determine l(68).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*j + 5*m = -49, -5*m = -5*j + 50 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 66*j - 308. Determine i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/4 + 2907*y**2 - 33790965*y\/4 - 33814225\/2 = 0.\nAnswer: -2, 5815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6430932278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -998, 69, 0.4?\nAnswer: -998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b + 2. Let z be j(-3). Let h = z - 0. Suppose 5*y - h*y = 66. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 637\/225 - 18\/25. Calculate the common denominator of 91\/13 - (-435)\/(-108) - (-60)\/135 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1417, -1\/3, -1, 0.3, -8\/7, 1?\nAnswer: 1417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 915217.24419?\nAnswer: 915217.54419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 12. Give a(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*f + 11*f + 3784179 = -1053182. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 2*a - 12. Let l be c(3). Suppose -8*z + 4*w = -l*z + 5064, 2*z - w = 2520. Is z a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(168) + 2*sqrt(168) + sqrt(168)) + sqrt(168) + -1*sqrt(168)*-1)\/(6*sqrt(18)\/sqrt(3)*-5).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 2 (c) -11 (d) 5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.361 + -221.0187776\nAnswer: -221.3797776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from rbrhbrbbwbbrb?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - (13 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*o - 65*o + 84 = 71*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 508*k - 1547*k - 1194*k - 1430*k in the form r*k + a and give r.\nAnswer: -3663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37559 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(45) + 1.\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 552774154 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1, -2\/175, 3, -3\/16, 1?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 28*v - 21. Does 11 divide g(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88644 take away 0.5?\nAnswer: 0.38644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c**2 - 41*c - 101. Let r(q) = 12*q**2 - 27*q - 67. Let w(j) = 8*r(j) - 5*v(j). Does 11 divide w(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-104 + 9 + 33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 19. Let x be (f\/(-25))\/(1\/(-5)). Solve d - 4 + x = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 155 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 7)*(33 + 0 + 20) - 3 - 3 + 4 + (2 + 1 - 4)*(-3 + 2 + 0))*(3*b + 0*b - 2*b).\nAnswer: -107*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*sqrt(150)*1)\/(3*sqrt(12) - (sqrt(3) + sqrt(48)*6)) + -3.\nAnswer: -3 + 60*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - -8 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 + y + 6. Let k be d(-6). Suppose k = -4*c - 3 - 5. Is c\/(-1) - (-7 - -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50 (b) -0.6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -s - 2*b + 3*b, 0 = 2*b + 8. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -5301054145.\nAnswer: 5301054137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316213 - 316213 + 4*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 998840 and 998900 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 19*i**2 - 11*i - 62. Let r be g(-18). Let z = r - -192. Suppose 0*p = -p. Solve z*j - j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -6. Suppose 0 = -y + 8 - j. Suppose -3 + 9 = y*t - 2*b, b - 12 = -4*t. Solve 2*c = 6*c - s + 16, -21 = t*c - 3*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*g - 10 = 0, -5*q + 13*g - 21 = 9*g. Let b be (q + 2)*114\/(-9). Is b > 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let n = -482 - -508. Let z(g) = -33*g - 19 - n*g + 20. Determine z(t(f)).\nAnswer: -118*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*g - 125236 = 4732*g + 90315 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, n: 1, m: 5, r: 1, p: 2}. Give prob of picking 1 p and 1 m.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 103566264 - 2*z**3 + 103566264 + z**2 - z**2 + 13*z.\nAnswer: -7*z**3 + 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) -2 (c) 149 (d) -14\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137131139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2829 and -16\/261.\nAnswer: 246123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, f: 8}. Give prob of sequence ffff.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q + 396. Let s be d(49). Solve 3*n + 2 - 5 = -4*y, -s*n = 5*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q + 123 - 11. Let y = 6 - 3. Let s = y + 13. Calculate the greatest common divisor of s and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047285859 to seven dps.\nAnswer: -0.0004729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/(h**(-5\/2)*h))**(5\/4) assuming h is positive.\nAnswer: h**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 146305625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 7267424.\nAnswer: 21802272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.559879 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 6*h**4 + 24*h**4)*(2 + 3 - 2).\nAnswer: 90*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -63. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397554080 by -49694260.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85\/291 or 1?\nAnswer: -85\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101244 + -111423?\nAnswer: -212667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -34. Let n = -26.2 - x. Which is smaller: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1764*j + 5. Let y be i(3). Let s = 3097 - y. What is s rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 265*z + 5 + 3 - 3. Suppose 0 = -2*f + 9 - 3. Let r be j(f). What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 + u**2 - 2*u. Let x be f(2). Let s be x\/(-9)*3\/(-2). Suppose s*k = 8*k + 4. Sort -14, 3, k in decreasing order.\nAnswer: 3, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124872 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 34692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:36 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18 = -s - 3*s, 3 = -2*s + 5*a. Find the third derivative of -50*z**3 + 124*z**3 + 50*z**2 + 2*z**s - 76*z**2 wrt z.\nAnswer: 240*z**3 + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose u = 2*o - o - 3*r + 6, -2*o + 15 = 3*r. What is the second derivative of 0*p**o - 5*p + 2*p**3 + 2*p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 13*s - 13. Let n be v(-7). What is the greatest common divisor of n and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -72 + 72 - 4*q + 15*q. Let i(h) = -11*h**2. Calculate y(i(o)).\nAnswer: -121*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = v - n, 5*v - 13 = -n. Suppose 0 = 4*h - 1 + 21. What is the third smallest value in h, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -1\/124 (b) -0.5 (c) 0 (d) 2 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -3*s**6 + s**2 + 9. Find the second derivative of f(j) wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (11 - 27) + 30 + 24.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -0.2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715119527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19890.55 days to minutes.\nAnswer: 28642392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - -40 - -5 - (-1 - (15 + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2226, -2224, -2222, -2220, -2218, -2216?\n\"Answer: 2*k - 2228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42491055, -84982111, -127473167, -169964223?\n\"Answer: -42491056*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 1055*r - 1055*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 666 - 670. Let q be 0 - (3\/2)\/(-1). Which is the closest to -4? (a) q (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 = 3*t - 218, 5*t + x = 425. Suppose -4*z = 2*a - t, 2*a - 2*z - 35 - 31 = 0. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = 62*n - 784. Sort -20, -2, 1, n in decreasing order.\nAnswer: n, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 - 1347*w - 44933. What is j(-38)?\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 3. Let t = -9 + 4. Let m be j(t). Let n(u) = -u**3 + 3*u**2 + 6*u - 5. Let v be n(4). Which is greater: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 + -1 - (11 + -13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953.1ml in litres?\nAnswer: 1.9531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 11 + 4 = 0. Suppose g*n + 5*s - 20 = 0, -4*s = -10 + 2. What is the nearest to n in 8, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/4 - 693*a\/4 + 2401\/2 = 0?\nAnswer: 7, 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-9)\/(o*((o\/(o*(o\/(o*o**(-1\/13)*o)*o)\/o)*o)\/o)\/o*o*o)*(o**(-1\/4))**38 assuming o is positive.\nAnswer: o**(-557\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 168. Suppose 12 = 23*w + f. Sort -8, 0, w in decreasing order.\nAnswer: 0, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -2*x**2 + 7*x + 6. Let g be p(2). Let b(v) = -112*v**3 - 1. Is b(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24439*i = -24434*i + 50. Let m(u) = -7*u**3 - 27*u**2 - 23*u + 15. Let s(v) = -4*v**3 - 14*v**2 - 12*v + 8. Let t(n) = -3*m(n) + 5*s(n). Give t(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 + 14352*c**2 + 143420*c = 0.\nAnswer: -14342, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4 - 11 = 0. Suppose 5 = j*i + 2. What is i rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 464, 0.44, 0.19, -0.5, -0.3 in decreasing order.\nAnswer: 464, 0.44, 0.19, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-20328)\/(-110))*2)\/(10\/(-24))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 61 = -r, 3*r - 2 = -42*w + 44*w + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from {s: 6, j: 1, l: 3, x: 4}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -44 + -74 + 90?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/(-88) + 464\/11.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 64*r - 186. Determine d(61).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2. Let s(a) = -12*a + 3. Let f(u) = 11*u - 2. Let b(t) = -3*f(t) - 2*s(t). What is b(c(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63504, -127028, -190552?\n\"Answer: -63524*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4022 is divided by 1852?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*q**4 - 47*q + 1?\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -69*q**2. Let g(y) = -2*y**2. Determine g(n(z)).\nAnswer: -9522*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/4 + 8*y**3\/3 + 9*y**2\/2 + 9*y + 1. Let z be n(-7). Let h(p) = -p**2 - 7*p - 7. Let f be h(z). Solve f*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.4 + -19.40000306. Round f to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 48*v + 335. Let o be b(-6). What is the highest common factor of 1457 and o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3294*b**2 + 5*b + 3281*b**2 - 17 + 15. Let c(g) = 129*g**2 - 51*g + 21. Determine -2*c(r) - 21*q(r).\nAnswer: 15*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -110.\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8ff (base 16) to base 10\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -192, -432, -892, -1644, -2760, -4312?\nAnswer: -6372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/7))**(-5\/8)*(r**(1\/2)*r*r)**19)**(-13) assuming r is positive.\nAnswer: r**(-34255\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcvv when four letters picked without replacement from {c: 1, p: 2, v: 7, z: 10}.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22761154*o**2*u + 3*o*u**2 + 483*u**2 - 2*u + 7500 wrt o?\nAnswer: 45522308*o*u + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*q - 35520 = -325*q for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 52 = 4*p, 5*a + 4 = -4*p + 24. Solve -p*g = 6*g - 32 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -22565.\nAnswer: 22561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -39*y - 2. Let w(i) = i**3 + 4*i**2 - 3*i + 7. Let t be w(-5). Is a(t) 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) 0.01 (b) -0.47 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3661 = 15*w - 8129. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(-4*(-9)\/54).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z + 20*z + 4 - 4.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + -1*sqrt(77) - sqrt(77) - sqrt(77))*2 + sqrt(77))\/(5*sqrt(176)))**2 - (2 + -6*(sqrt(175) + 1 + sqrt(175))**2).\nAnswer: 120*sqrt(7) + 1681663\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-259)\/(-26) - -2 - 612\/51.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*o**5 - 107*o**5 + 17*o**2 + 6*o**2 wrt o?\nAnswer: 1620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151339970 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 490\/400941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199*t**3*z**3 - 27*t**2 + 2*t*z**3 wrt t.\nAnswer: 1194*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 531*n - 331*n + 1731*n - 404*n + 1933*n in the form v + o*n and give o.\nAnswer: 3460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/2 - 4*u**3\/3 - 3*u**2\/2 - 6*u + 277. Let k(p) = 2*p**3 + 3*p**2 + 2*p + 6. Determine -3*b(t) - 4*k(t).\nAnswer: -2*t**3 + t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i = -17*i - 81. Solve -4 = -i*q + 7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -1 + 0 + -9624 + 9648 + -38?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.857174 and -0.4?\nAnswer: -0.3428696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/41 + -49\/164. Which is the nearest to -1? (a) -3 (b) m (c) -3.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16846 + -16829. Solve -2*l - 5*g + 82 - 103 = 0, -s = 4*l + 5*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3579699*n**2 - 3579702*n**2 + 2*n - 3*n**3 + 0*n. Give w(3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.3. Let n = -3.29 + -1.71. Which is the nearest to -2\/7? (a) 3\/2 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(176))**2*5 - 5*(sqrt(176) + 2).\nAnswer: -20*sqrt(11) + 7910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3) + ((-3)\/9 - (-195)\/(-135)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.58 + -0.08. Let u be ((-6)\/28)\/((-18)\/48). Which is the nearest to 1? (a) u (b) h (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2*z**2 + z - 7. Let y be p(5). Let f = y - 16. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 3, 0.2, -6, -4 in descending order.\nAnswer: 23, 3, 0.2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 31*u + 108. Let j(i) = -i + 4. Let g be j(-4). Let q = g - -2. What is the greatest common factor of q and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 5}. Give prob of picking 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570103487 to the power of 1\/2, to the nearest integer?\nAnswer: 23877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2133 - 2*j + 10*j - 992 - 6*j - 1054.\nAnswer: 2*j + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:14 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 - 54*t**2 + 5*t + 5881.\nAnswer: 6*t**2 - 108*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a + -172aa?\nAnswer: -17317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5177 is divided by 522.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 200 = -3*v + 198, 5*b - 5*v = -10. What is the closest to b in 0.026, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2592))\/(sqrt(90)\/(-2*sqrt(10))).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 - 118*z - 946. What is r(-10)?\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*p + 5*l, -5*p + 2*l - 3 = 5. Suppose -4 = -2*w + 2*a - a, -3*w + a + 8 = p. Calculate the least common multiple of 13 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**3*f*f**(1\/3)\/f)\/(f*f**1\/f)**36)\/((f**(2\/7)\/f)**(-44)*(f*f**(-1\/4)\/f)**(-33)) assuming f is positive.\nAnswer: f**(-5909\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1001000110100 (base 2) to base 3\nAnswer: -20101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.51 + -0.61. Let r = -79\/14 + 50\/7. What is the second biggest value in r, 3\/8, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -939.52 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -827655 (base 9) to base 13\nAnswer: -142730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171385.\nAnswer: 5, 151, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3291*o + 98742. Calculate z(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-22) + 26\/22. Let b be (3\/(-4))\/(2 - f). Let l = -7\/13 + 5\/13. Put l, b, -1\/3 in descending order.\nAnswer: l, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p + 765 = 152 - 193 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.4, -2\/11, 50?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**5\/10 + 13*k**4\/12 - 2*k**3\/3 - 6*k**2 - 11*k - 1. Let t be z(6). Solve 4*n = -3*a + 3, -3*a + 2*n - 4*n - 3 = t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416735178 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3374 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13604 is divided by 1360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2410 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(0 + 1) - 0. Suppose 0*o = -u*o + 4. What is the second derivative of x - 2*x**2 + 2*x**2 + 2*x**o + x**2 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/152 and 95\/6.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15589, -15590, -15591?\nAnswer: -15592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1 (c) -4 (d) 2 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50962266*m**5 - 41937617*m**2.\nAnswer: 3057735960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27578671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1474)\/(-220)*-1 - (-7 - 0).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(12 + 10 + -17)*-1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 30 = -3*h, 3*i - 2*i = 5*h - 22. Suppose 5*y = -3*c + 3702 + 10018, y - 2722 = -h*c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430298?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537474.23 milliseconds in days?\nAnswer: 0.017794840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -108, -138, -154, -150, -120?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 78*i. Let n(y) = -129*y**2. What is t(n(w))?\nAnswer: -10062*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230\/(-92)*(-8)\/60*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 805\/20 - (-1)\/(-4). Let h(j) = j**3 - j**2 - 2*j + 2. Let g be h(1). Suppose g*x - 2*x = -w. Solve 0 = -5*o - 0*o - x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -44*x**2 - 1913*x + 998. Determine s(-44).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.84 (b) -1\/5 (c) -15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - -0.05. Let i = 0 - s. Which is greater: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 != -9.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = -10165. Let k = m + -1056. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.91 - -1.09. Let d = 0.04893768 + -48.04587768. Let i = d + j. What is i rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 30. Let a = 53 - d. Let y(v) = 16*v**2 - 37*v + a*v. Let f(g) = 2*g**2. What is y(f(p))?\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 3*d**2 + 0*d + 4*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*q = -94*q - 18. What is the smallest value in q, 0.5, -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 8 = -143*j + 142*j, -24 = -2*j + 4*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37.98585 years?\nAnswer: 0.3798585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (2 + -8 + 1 + 5)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6. Let o be 9 - (d - (1 - 4)). Suppose -112 + 304 = o*r. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h - 408 = 276 - 68 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24111565.\nAnswer: 5, 4822313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*u**3 + 280*u**2 + 83*u + 6.\nAnswer: -(u - 6)*(7*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55929 - 122*i + 55929)*(7 - 2*i**2 - 7) to the form g*i**2 + u*i + b*i**3 + f and give b.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32616 by -6.\nAnswer: -5436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 250 + -260 - (24 - 1).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (-3 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*t**4 + 2*t**3 - 8*t**2 - 33.\nAnswer: 4872*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = t + 4*v, 2*v = -21*t + 19*t + 128. Let z = 63 + -27. What is the highest common factor of t and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*i - i**2 + 1 + 3*i**3 - 5*i**3 in the form j*i**2 + x*i**3 + w*i + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/468930 and -43\/120.\nAnswer: 1875720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and 625.\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f + 9. Suppose -4*v + 3*v = 6. Let g be z(v). Suppose h + 11 = 3*q + g, 0 = 5*h + q - 174. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -7*s**5\/10 - s**4\/12 - s**3\/3 + s**2 - s - 50. What is the units digit of n(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 2. Let t(h) = 3*h**3 - h**2. Let p be t(1). Let o be (-40)\/(-10)*(-3)\/p. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194661? (a) 0.2 (b) -2 (c) 3 (d) -7\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142231699 to the power of 1\/2, to the nearest integer?\nAnswer: 11926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821107289.\nAnswer: 821107289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k*k**1*k)\/k)**12\/(k**1)**43 assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-105)\/882*138\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/5))**(-48\/11)\/((f*f\/(f\/(f**(-5)*f)))\/f*f\/f**(1\/2)) assuming f is positive.\nAnswer: f**(-287\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6457 + -6432. What is the remainder when 208 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + c - 141, -c = -3*n + 2*n - 33. Put 2, -5, -4, n in descending order.\nAnswer: 2, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/6*32\/20 + -2. Let k(f) be the first derivative of 0*f + 3\/10*f**u - 3\/20*f**4 + 3 + 1\/5*f**3 - 3\/25*f**5. Suppose k(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54\/24 - (0 - -6)) + 6. Which is the third biggest value? (a) -6 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 13*h**2 - 14*h + 5. Let d be k(14). Let f = 1 - 0. Let p = 444 - 448. Sort p, d, f in decreasing order.\nAnswer: d, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2835494968?\nAnswer: 2, 5701, 62171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**5 - 32950*l**4 - 1389715*l**3 - 19912360*l**2 - 111385600*l - 212224000 = 0.\nAnswer: -16, -5, 6632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37261692 divided by 2070094?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:48 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-468)\/(-144) + 15\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a. Suppose -6 - 2 = -2*f. Suppose 5*c + 3*n = 76, 5*n = -f*c + 10 + 56. Let q(x) = 2*x + c - 14. Calculate u(q(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 313579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqqqqatqty. What is prob of picking 2 t and 2 a?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 11:45 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 11273 + 8112 + 217 = 0. Which is greater: o or -1087?\nAnswer: -1087","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13726357 divided by -4?\nAnswer: 13726357\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58\/6*(5 + -4 + 2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + n**3 - 3*n - 3 - 3*n - n + 4*n**2. Let k(p) = -p**2 - 4. Let d be k(0). Let u be q(d). Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -754 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*t - 29*k + 24*k - 90, 2*t = -3*k - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 20529423*i.\nAnswer: i*(i - 20529423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10686350266337 from 0.2.\nAnswer: -10686350266336.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let w = -10624\/16165 - -174\/265. Let p = w + 13010\/126087. Is f greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36981.78833 from -0.39.\nAnswer: 36981.39833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 g, and 1 i when four letters picked without replacement from {h: 3, g: 2, q: 1, i: 4, v: 1, k: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 43. Suppose -9 = 3*o - 3*z, 4*o + 27 = 8*z - 9*z. Let t(y) = -42*y - 242. Let m be t(o). What is the highest common divisor of w and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*d - 6*d. Let g be (-2)\/11 + 4\/22. Solve g = -n + d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.3 in 0.1, 46, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -83*i**2 - 5*i - 2. Let u(z) = -41*z**2 - 2*z - 1. Let k(r) = -2*c(r) + 5*u(r). What is the first derivative of k(x) wrt x?\nAnswer: -78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -10 - (36 + -62 + 26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -885.1034 - -1.69?\nAnswer: -883.4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(d + d - 3*d) - 2*d + 1 - 1)*(-2 - 1 + 5) + 300 + 4*d - 6*d + 368.\nAnswer: -8*d + 668","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = -4*q. Let d be 20 + 0 + 0 - q. Suppose -d = -2*y + 8. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2. Let t(c) = c**2 + 6. Suppose -4*p + 3*u = -39, 5*p - 21 = -2*u - 1. Let h(d) = p*i(d) + 2*t(d). Let q(f) = f**2. Determine q(h(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7338870 + -4023754. Let l = 1355116 - w. What is l rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -92, -109, -112, -107, -100?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 48. Let z(x) = -3*x - 16. Let k(r) = 4*v(r) + 11*z(r). Let j be k(12). Solve -4*a + j*b - 2 = -5*a, 0 = -3*a - 4*b + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*c + 36*c - 2 - 65*c)*(-c**2 + 3*c**2 - 4*c**2) - 2*c - 4*c**3 + 2*c.\nAnswer: -20*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 16. Let z be j(7). Is -409*3\/6*4\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b**2 - 6*b + 4. Let n be q(1). Let c = n - -3. What is the closest to -1\/2 in 0.3, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2695596 divided by 673899.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*o + 2*i - 8, 4*o - 5*i + 2 = 0. Solve -4*q = -4*h + 4, -2*h + 3*h - 4 = o*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -4 (b) -0.5 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6*u - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -713.9 - -714. Let t = 18.6 - 1.6. Let r = t - 16.8. What is the closest to -1 in -2\/13, v, r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i = -36*i + 1056. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -8.9, -0.07, 6\/83?\nAnswer: 6\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328766287, 328766289, 328766291, 328766293, 328766295, 328766297?\nAnswer: 328766299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.56319 rounded to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37410 divided by 290?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16018, 16025, 16044, 16081, 16142, 16233, 16360, 16529?\nAnswer: 16746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*g + 245814, -2*g - 3*y + 93906 = -28990. List the prime factors of g.\nAnswer: 13, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/381 - -9221\/4191. Suppose 5*q + h + 940 = 5*h, -379 = 2*q - h. Let x be (-1)\/5 - q\/60. Is x >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*m = -m. Which is the nearest to 15\/19? (a) 0.2 (b) m (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188 - 2*n**2 - 4127*n**3 - 2*n + 4126*n**3 - 660 to the form d*n + p + b*n**3 + q*n**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -84, -128, -196, -282, -380, -484, -588?\n\"Answer: x**3 - 18*x**2 + 3*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-768))\/(60\/48)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, -2, -34418, 2 in decreasing order.\nAnswer: 3, 2, -2, -18, -34418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/96*-20*(-28)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(65)*1 - sqrt(65))*5 - sqrt(65))\/(1*sqrt(720) - sqrt(720) - sqrt(5)) + ((sqrt(52) + 1)*5 - (-1*sqrt(156))\/sqrt(3)) + 4)**2.\nAnswer: 252*sqrt(13) + 2629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/((-12190)\/(-23)))\/(-1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 8*y + 86. Let j be a(-10). Let w = 774 - 567. Are w and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-96)*6)\/(-5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -134799.\nAnswer: 3369975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 7*z + 3*z - 2*z + 4*z - 3*z + (5 - 4 + 0)*(1 - 1 - 2*z) + 1 - 2*z - 1)*(-1 + 0 + 4).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1010310 and 1050.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 19*k**2 + 20*k + 73. What is a(17)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 10*p**2 - 9*p + 3. Let q be i(-9). Let b(x) = x**3 + 8*x**2 + 2*x + 6. Let c be b(-4). Suppose q*w - 4 = c. 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 the value of ((-2)\/11)\/(1\/(-88))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 x when three letters picked without replacement from kpxkxfxkkaxqxaxxkkp.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -18*f**2 + 194*f + 170. Let l be u(11). Which is smaller: l or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, 0.5, 12, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 8*c - 24. Suppose -c*f = 4*f. Solve -5*o - i = -25, f = o + 2*o + i - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038057 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-1))\/(12*3\/36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20768 + 8518 = -9*b. Let l = -1597 - b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 13*n**2 + 6*n - 9. Let y be j(-7). Let b = y - 166. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.28148km to millimeters.\nAnswer: 95281480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n. Let u(p) = -p. Give -c(z) - u(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/73969024 and 5\/4463648?\nAnswer: 517783168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -442 + 283. Let u = -132 - o. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) - (sqrt(576)*-1*3 + sqrt(576)) - sqrt(576))\/(sqrt(36)\/sqrt(3)*3))**2.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 + 117. Let s be (2\/q)\/(18\/60). Factor 2\/3 + s*z**2 - 4\/3*z.\nAnswer: 2*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20935*d - 7200 = 21160*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*n - 18, 3*n + 2*u = -2*u + 13. Sort -2, n, 0 in increasing order.\nAnswer: n, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57480750 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139 - -182. Is 2\/9 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30839 - -44451. List the prime factors of j.\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 111330?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*j - 15 = 0, -5*b = -0*j + 3*j + 9. Let t be 1 + b\/(4\/(-2)). Which is smaller: t or -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 921 - 922. Let n(l) = -2*l**3 + 6*l**2 + 5*l + 6. Let w(j) = -j**2 - 1. Determine d*n(z) - 6*w(z).\nAnswer: 2*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 11. Let y(z) = 17*z**2 - 11. Let b(u) = 6*u**2 - 4. Let m(x) = a*y(x) - 8*b(x). Suppose 5*t = 5*h - 25, 0 = 4*t + 13 + 3. Calculate m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a + 13*a + 12*a - 27*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + 7*z + 325. Determine l(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 - 3*i**3 - 6*i**2 + 144*i**4 + 21*i**2 + i - 13*i**2 - 3*i as s + r*i**2 + f*i**3 + x*i**4 + j*i and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17032 - -18007. What is the highest common factor of 1200 and o?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227950 is divided by 28390.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-714)\/136*(-3 - (-17)\/3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 1685*p**2 + 6675*p + 4995.\nAnswer: 5*(p + 1)*(p + 3)*(p + 333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -25. Let x be ((-22)\/(-6))\/((-4)\/z). Let l(k) = -2*k**3 + 2*k**2 - 2*k - 1. Let r be l(-3). What is the greatest common factor of r and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 7. Let h = 24 - 17. Let u = -11 + h. What is the second smallest value in -4\/9, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 371787520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12925 - -25897. Suppose -16*q = -4*q - j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64964.6cm in meters?\nAnswer: 649.646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588220 divided by -2588220?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u - 4*k + 11 = 0, -u = -k + 2. Let h be (u + 2)\/((-11)\/(-88)). List the prime factors of (-6)\/24 - 122\/h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -437 - -402. Put -1, 4, 1\/11, t in decreasing order.\nAnswer: 4, 1\/11, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16714 (base 10) to base 4.\nAnswer: 10011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.14419162 - -1.14518. Round i to five decimal places.\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*y + 51*y + 3 - y.\nAnswer: -72*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 1660*u\/3 - 344450.\nAnswer: -2*(u - 1245)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l = 205*l + 134*l + 1866 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15387 and 618306079?\nAnswer: 5129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - 10. Let i = 66 + q. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140466 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 13. Let h be u(-7). Suppose -o + 6*o - 390 = 5*z, 0 = 4*z + h. What is the remainder when o is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-0.4.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:09 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1080\/(-243))\/8)\/((-1)\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1820 and 537992?\nAnswer: 2689960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 33 = 9*z - 2*g, 0 = -8*g + 5 - 405 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6072, -1\/20, -2, -5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/(-60))\/((-1)\/(10\/(-44))). What is the closest to -3 in -4, 1, -1\/4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3568 to 2 dps.\nAnswer: -2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmmmaw. Give prob of picking 1 w and 2 m.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 38*t - 133. Let p be i(-4). Let v(u) = u**3 - 9*u**2 - 10*u - 2. Let h be v(10). Put p, -0.66, 5, h in decreasing order.\nAnswer: 5, p, -0.66, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 4*q + 28 = -5*m - 5*m, 2*m = -10*q - 48 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -269\/3. Let y = -14\/15 - l. What is the closest to 1\/2 in 1, 1\/6, y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 0, 4*b + 18 = j + 3. Let l(h) = -8*h - 4. Let d be l(b). Let o(p) = 28 + 2*p**2 - d. Let m(z) = -5*z. Determine m(o(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fakfargfnannnrkafana. What is prob of sequence kn?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -2568 divided by 856\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -786 (base 12) to base 3\nAnswer: -1112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 593 = 404. Suppose -35*q + r*q + 3984 = 0. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 497279 * -32.\nAnswer: -15912928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 36. Suppose 5*u - d = 0, -615 = -5*y + 9*u - 4*u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830601593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 7*g**2 - 5*g - 4. Let q be v(6). Suppose -5*w = -5*x, -8*w + 5*w + q*x = 0. Solve -4*n - b - 16 = w, 2*n - 4*b - 1 + 9 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 + -1.39. Let z = -0.01 + o. Which is smaller: z or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntz when three letters picked without replacement from {e: 5, i: 1, z: 1, t: 4, n: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibiibiii. Give prob of picking 3 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/49 - 785\/70*-6. Let p = q + -65. Solve 0 = i - p*i + 5*c - 15, -2*c + 23 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105604 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142524 and 15836?\nAnswer: 142524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -3443, -7973, -14315?\nAnswer: -22469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -3. Which is smaller: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekvwekkwe. Give prob of picking 1 v and 2 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*d - 744 = 312*d. Calculate the remainder when 457 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/(-7) + ((-6)\/14 - 0). Let z(y) = y**2 - 2*y + 3. Let n be z(2). Suppose f - n*f + 8 = 0. Sort -5, f, u.\nAnswer: u, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**12)**45 assuming h is positive.\nAnswer: h**1080","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232085 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2. Let q(i) = 1710*i**2. Calculate t(q(u)).\nAnswer: -11696400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10608\/19 >= 558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183737690.\nAnswer: 2, 3, 5, 13152641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6305140716.\nAnswer: 2, 3, 7, 31, 2421329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 486, 434, 380, 324, 266, 206?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21536*a**3*p**3 + 19*a**2*p**2 + 20*a**2*p + 12*a*p**3 + 2*p wrt a?\nAnswer: -129216*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27438 is divided by 9141.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*h**3)*(3 - 3 - h) + 428*h**4 + 12 - 2*h**3 - 429*h**4 - 2*h**2 + 16.\nAnswer: -5*h**4 - 2*h**3 - 2*h**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 843.849681 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let v(f) = -5*f**2 + 9*f**2 + 2*f + 3 - 2. Let g be v(z). Solve 3 = -g*l + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 868564*b**4 + 597*b**2 + 974*b - 229170?\nAnswer: 10422768*b**2 + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 24. Let v(c) = -7*c - 1. Let m(f) = -15*f - 1. Let y(o) = 6*m(o) - 13*v(o). What is the lowest common multiple of y(-5) and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 6:01 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -2*b - 2, -132708*s = -4*b - 132703*s - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 90*c**3 + 1. What is a(1)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -23. Let z(j) be the third derivative of j**4\/12 + 7*j**3\/3 + 2*j**2. List the prime factors of z(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 123*p**3 + 17*p + 5. Let l(y) = -31*y**3 - 4*y - 1. What is 2*i(z) + 9*l(z)?\nAnswer: -33*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 23 = 337. List the prime factors of y.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25*-1)\/(2172\/(-1810)*(-5)\/6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.984 - 7. Let l = r + -21.984. Let b = -21 - l. What is the second smallest value in 0.2, 17, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*a + 12900 - 12930, a - t = 11 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12494183069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 83733.\nAnswer: 2\/6441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2 = 0, -9*z + 2*z - 54720 = -4*a + 3*a - 54711 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -222, 7, -1, -0.18, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 85\/(-2) + (-4 - 45\/(-10)). Find the common denominator of -15\/34 and 319\/f - (14\/(-3) + 4).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2123 divide 524667433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/14 and (-3)\/5 + (-231)\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.892 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (12 + 22)) + 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 710\/42 - (-92)\/966. Suppose -3*f = 3*l - 270, -4*f - 190 = -6*f - 4*l. Calculate the highest common divisor of f and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-18) + (-39)\/30.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1510)\/(-7875) + (-2168)\/68292\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37788, -75579, -113370, -151161?\nAnswer: -188952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/4*-11*320\/(-660).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22613 - -4?\nAnswer: -22606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 4*x**4 + 7*x**4)*(-43 - 27 - 175) - 8*x**3 + 4*x**4 + 13*x**3 - x**4.\nAnswer: -487*x**4 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309892780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -260\/43 bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10 - 4*k**2 + 10 - 6*k + k - k**3. Let v = -9 + 4. Is s(v) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1562\/3 > -522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 330.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 8470.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3638 a factor of 497738570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a + 66 - 52 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*x**2 - 114*x - 1 - 6*x**2 + 117*x in the form l + c*x + h*x**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/132 and -49\/18288.\nAnswer: 201168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2429*j**3 + 7 - 9 - 2987*j**3 + 3*j**3 - j**3 - 4*j**3 + (-j - 3*j + 3*j)*(-j**2 + 3*j**2 - 3*j**2) + 0*j**3 + 5*j**3 - 3*j**3.\nAnswer: -557*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 6*j**2 + j + 18. What is w(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.8225609 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109 and 550?\nAnswer: 59950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 6 - 2 - -18 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1600710 and 18640.\nAnswer: 12805680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-405) + 2\/18.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2176)\/(-24) + (-2)\/3. Suppose -5*i = -2*i - d. Suppose 4*m - i = -2. What is the smallest common multiple of 9 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*10*(-2)\/(-16). Let y = v - 7. Suppose y*o + 60 = 8*o. 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 1\/3*(7 + -4 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*c + 29, 5*v - 4*v = 2*c - 17. Solve 3*t + 35 = 4*w, -3*w = -5*t - 6*w - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 30896 - 2161. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 2*l**2 + 3*l - 4. Suppose -2*v + q + 8 = 0, 7*v + 2*q - 8 = 3*v. What is t(v)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 0*v - 8*v - 10*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 9*f + 32*f.\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14790521 divided by -673\nAnswer: -21977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-4))\/((-1)\/(-2)). Let d be y\/(-6) - (-2)\/(-3). What is the nearest to d in 0, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 < -25722\/361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -32 - 164. What is the highest common factor of 322 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/((-6)\/(-8)). Suppose 0 = -2*m - 3*j + 93, w*m + 5*j + 79 = 3*m. Is (-389)\/(-9) + (-12)\/m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -322 + 279 + 1416*w + 1296 wrt w?\nAnswer: 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l. Let p(b) = 5618058*b. Calculate p(k(g)).\nAnswer: 50562522*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 5. Let v(r) = 11*r - 22. Let y(q) = -6*q + 11. Let a(x) = 4*v(x) + 7*y(x). What is 6*a(n) - 14*h(n)?\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/86, -4, 1\/3, -1\/6, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 3*s**2 - 12*s - 7. Let v be q(-5). Suppose -79 = -g - 3*k, 0 = g + 2*g - v*k - 225. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. List the prime factors of k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 15. Suppose 9*p = 605 - 551. Let y(l) = l - 1. What is p*y(g) + x(g)?\nAnswer: 3*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 + (-1 + 18 - 3) and (66\/(-55))\/(12\/(-200))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i + 5. Let x(u) = -45*u - 54. What is -54*b(o) - 5*x(o)?\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s - 3. Let j be (-32)\/12 - ((-20)\/(-15) + -2). Let b(x) = 2*x**2 - 3*x + 7. What is j*b(p) - 5*g(p)?\nAnswer: p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 22*o + 4*l - 6924, 8*o - 5*l - 13822 = 0. What is the remainder when o is divided by 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2175 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.833 + -0.6?\nAnswer: -5.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 21. Suppose 2*u + 20 = 3*u - 3*m, h*u + 3*m - 4 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19473789?\nAnswer: 3, 17, 271, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (52*(-4995)\/14040)\/((4\/2)\/(2\/1))\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 1, f: 7}. What is prob of picking 3 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -144, 75, -3 in decreasing order.\nAnswer: 75, 5, 4, -3, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10936700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 436*a - 66019. Give x(152).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 2, k: 2}. Give prob of sequence ik.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/4 - 9*z**2\/4 + 15*z\/4 - 7\/4 = 0. What is z?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -806, -1274, -2168, -3626?\nAnswer: -5786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*m + 3*h, 3*m + 4 + 6 = -5*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 4 - 4)*(-1 - 2 + 2)*(-5 + 3 - 2)*(5 + 2 - 5) to b + z*p and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -24. Solve d - 19 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 33*p**2\/2 - 6. Let f(y) = -2*y**2. Determine m(f(z)).\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331462 is divided by 872.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349 - -402. What is the greatest common factor of u and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(-3)\/(-4) + 0. Are -3 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*(1 + sqrt(243))*4)**2 + 0).\nAnswer: 7200*sqrt(3) + 97600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.8 + -12.2. Which is smaller: 24 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256804060 to the power of 1\/2, to the nearest integer?\nAnswer: 35451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280412.\nAnswer: 2, 11, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51475330 is divided by 87?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7.7, 5, 389, 0.3?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -203?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 - 7*t + 14 + 2*t + 4*t to the form m + j*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -92. Let a = 10\/81 + -16\/567. Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-555)\/(-70)) + 0\/2?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*f + 65*f - 30*f + 0 - 2 - 24*f**3 wrt f.\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1134 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 5. Let d be x(-5). Suppose d = -3*n + 5*n - 36. Let q = -6 + n. Calculate the remainder when 21 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - -60?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from clkklcllklcwclcllc?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (362*s + 205562 - 205562)*(-5*s**3 + 3*s**3 - 3*s**3) as m*s**4 + v*s**3 + t + a*s + c*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 921699.7 litres?\nAnswer: 921699700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 39.5. Let b = t - 17. Sort -2, b, 2 in ascending order.\nAnswer: -2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -243.9 + 245.878. Let n = -0.022 - x. What is the closest to n in -0.4, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 108*w**2 + 19*w - 13. Let x = 199 + -191. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2634 and -0.07189.\nAnswer: 189.35826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -215415 divided by -23935\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -458*n - 8732*n - 7072*n - 3437*n - 2525*n as j*n + f and give j.\nAnswer: -22224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 21*b + 24. Let z(i) = i**2 + i + 1. Let u be -6*((-2)\/(-4))\/(6\/(-12)). Let k(p) = u*z(p) - a(p). Is k(-19) 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 33180042?\nAnswer: 2, 3, 7, 19, 41579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h - 4*a, 3*a - 13 = h - 3*h. Let z = 3.1 + -2. Suppose 4*o - f + 13 = 0, -o - f - f - 1 = 0. What is the third biggest value in o, z, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18483606 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*s + 5*s - 240 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**2)\/(r*r\/(r*r\/((r**6\/r)\/r))*r))\/(r**1)**(-2\/17))\/((r**(-1\/9)\/((r*r*r**2)\/r*r))\/(r**(-2)\/r*r**(3\/5))) assuming r is positive.\nAnswer: r**(-131\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*l - 18 = 0, -82 = 5*j + 43*l - 39*l. Sort -11, -1, j in descending order.\nAnswer: -1, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -10*i**3\/3 - 2. Suppose -2*r - 28 = -34. Let c(p) = 4*p - 3*p - r*p. Calculate g(c(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:32 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12371 - 12329. Solve 33*r + 63 = u*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -50*m + 2. Let b be i(-1). Let u(d) = -d + 6. Let q be u(6). Suppose -c + 3*c - b = q. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, 0.5, -2, -561, 2, 1682?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.7 and -21998045597.\nAnswer: -21998045598.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -20*w**2 + 7*w + 17. Let v(s) = -10*s**2 + 4*s + 9. Calculate -4*u(g) + 7*v(g).\nAnswer: 10*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -61*i**7\/42 + 41*i**3\/6 - 21*i. Find the second derivative of s(t) wrt t.\nAnswer: -1220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2639918.1 and -3873.\nAnswer: 2636045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus -391516693221?\nAnswer: -391516693221.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 504724800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -13.1. Let d = -0.1 + u. Let o = 25 - d. Which is smaller: 7\/6 or o?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -5*h**3\/3 - 13*h**2 + 2*h + 11. List the prime factors of r(-26).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 30. Let u(f) = f**3 + 14*f**2 + 12*f + 3. Suppose 0 = -57*i + 18*i - 507. What is the smallest common multiple of b and u(i)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 12. Suppose -2*j + 35 = 3*j + t, 20 = -4*t. Let g be b(j). Solve g*x + 23 - 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/(-95))\/(2\/5 - (-2451)\/(-5160)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 60.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c44 (base 13) to base 9.\nAnswer: 60074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 11, -17, 1, 9, 36 in ascending order.\nAnswer: -17, -5, 1, 3, 9, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33\/(-6) - -4)\/((-3)\/2). Which is bigger: l or 3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -x - 3*b, -2*x + b + 27 = -3*x. Let g = -27 - x. What is the highest common factor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 10. Let l(t) = t**2 - 10*t + 3. Let y be l(10). Let b be k(y). Let n = b + -24. What is the second smallest value in n, 0.5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0*t**3 + 2*t**3 + 4*t**3) + 2*t + 0*t + 0*t + t**3.\nAnswer: -11*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -66559742 at most -66559747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a factor of 6035325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.12 - 0.12. Let l = -1 + y. Let t = l - 3.999985. Round t to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 729*i + 51. Let d be x(6). Suppose -m + d = -2*c, 15 = -4*c + 7. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - m - m - 86 = 0, 61 = 2*k - 5*m. Suppose k = -d + 15*d. Solve 4*t = d*u + 3*u + 23, 3*u = 3*t - 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 347*h**2 + 2*h + 57 + 55.\nAnswer: 347*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 13*h**2 + 4*h**3 - 9*h - 5*h - h**3. Let a be q(14). Solve 0 = -2*c - a*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -3. Let i(j) = -j**3 + 3. Let t be i(0). Suppose x - 4*y + 2 = 3*x, 7 = -t*x - y. Which is the nearest to -2\/7? (a) n (b) x (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3971472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3383200 and -19\/55?\nAnswer: 37215200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 3}. What is prob of picking 1 u and 1 f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -27.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176388 - -341755\/2. Which is smaller: -5511 or h?\nAnswer: -5511","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*u + 3 = 10, 0 = -5*j + 5*u + 35. Let m = j + -3. Suppose -m = -4*k - 2*x, 2*k = 6*k + 3*x. Solve 3*a - 2*i = 8, k*i = -a - i - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12675.01565 to the nearest 100.\nAnswer: -12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11856.05 - 11856. Which is the closest to n? (a) 5 (b) -0.5 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28528866 divided by -387\nAnswer: -73718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {p: 2, h: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26744447?\nAnswer: 26744447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 0)\/(9\/(-12)). Let r = p - -8. Suppose -7*t = -2*t - r*i - 31, 4*t - 24 = 4*i. What is the lowest common multiple of t and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, s: 2, p: 4, y: 4, b: 1}. Give prob of sequence yssb.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4622.\nAnswer: 2, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*x + 20 = 0, -24*m - 3*x + 9 = -28*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 71.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101 - 220121?\nAnswer: -201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 - 31536*l\/5 - 12612.\nAnswer: -3*(l + 2)*(l + 10510)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43378451 is divided by 206.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -85.54 * -0.163\nAnswer: 13.94302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - -5 - (131 + -63 - 80).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-3))\/(-22) + 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 21*(6 - 5). What is the first derivative of -110*u**4 + i + 78 + 130 wrt u?\nAnswer: -440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*n - 4*n + 362 + 2158. Is n less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -5*v - 3504*q + 3500*q, -2*q - 14 = 2*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14159 - -21133. What are the prime factors of h?\nAnswer: 2, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 243045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190713872 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1241046 and 155\/198.\nAnswer: 13651506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 3:53 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111575 - -0.01899088526.\nAnswer: -111574.98100911474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 13. Let n = 4829 + -4818. Determine o(n).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and 0.76.\nAnswer: -28.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 45 = -45. Suppose p = -6*i + 10*i, -i = -3*r + 9. Solve 3*x - r*z = -3, x - 4*x - z - 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p - 5. Suppose -b + 4*u = 30, -2*b - u - 4*u = 99. Let y = b - -44. Let n(z) = 1. Let j(s) = y*n(s) + m(s). Let a(k) = -2*k. Give a(j(q)).\nAnswer: 14*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53530417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 12, p: 1, d: 3}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 7*i - 14. What is z(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 2*s**2 + 24*s + 200. Suppose -17*d - 38 = 47. Let n(a) = 3*a**3 + 5*a**2 - 49*a - 401. Let c(i) = d*o(i) - 2*n(i). Differentiate c(f) wrt f.\nAnswer: -3*f**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 106*n**2 - 425*n + 937. What is u(2)?\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - g + 10 = -8, 0 = -v - 39*g + 112 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 7*j + 11. Let a be i(2). What is the greatest common divisor of a and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -670 by -5.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -160 and -3.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-6)*(-100)\/(-15). Let s(m) = -2*m + 32. Let i be s(l). Is i\/12*(218 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {q: 2, i: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -25*v**2 + v**3 + 50*v**2 + 2*v - 28*v**2 - 1. Calculate p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5093*d**2 - 106953*d - 22. Determine p(21).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 118*f**3 - 15*f**2 + 7*f. Let y(x) = 115*x**3 - 15*x**2 + 6*x. Let w(p) = 4*s(p) - 5*y(p). What is the third derivative of w(r) wrt r?\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -330 - -583. What is the highest common factor of 55 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283936 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Let m(y) = 2*y**2 - 31*y + 39. Let v be m(14). What is the units digit of i - (v + 2)*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -25 - (-345 - -243).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*1*-4 + sqrt(143))*-1*-6)\/((sqrt(99) - -3*sqrt(99))\/sqrt(9) + sqrt(132)\/(sqrt(12)*2)).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + 189\/(-14))\/(3\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/5 - 4*i**4\/5 + 2*i**3\/5 + 12*i**2\/5 - 9*i\/5 = 0. What is i?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/36*3*(-2)\/5. Let q(k) be the first derivative of 0*k**2 + 0*k**3 + 0*k**y + 1\/5*k**5 + 4 - 8*k. Find the first derivative of q(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32397*h + 351602 + 1462630 = 0 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79324878427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 108736 times -1\nAnswer: -108736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -201220122 (base 3) to base 11\nAnswer: -a9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - 9 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1673\/2390*48\/(-42)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197\/3 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)**(-39)*(f**(-1\/3))**(-2\/95)*(f**(-5\/3)\/f*f\/(f\/f**(-2\/11)*f*f*f))\/(f*f**0*f**3) assuming f is positive.\nAnswer: f**(213677\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -311*s**2 + 72*s + 128. Calculate a(-2).\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - 5. Let j be g(4). Let u(n) = -14*n - 75. Let f be u(j). Sort -1, 4, f in descending order.\nAnswer: 4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -181501 at most -181500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10 - k**2 - 18 + 6 - 5*k**3. Suppose -4*p + 22 + 26 = 0. Calculate the remainder when f(-2) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3117493*s**4 - 13*s**3 + 70130912 with respect to s.\nAnswer: -12469972*s**3 - 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162 + 56*z + 5*z + 162 to the form r + f*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 1. Let j(l) = -l**2 + 2*l + 1. Let y be j(4). What are the prime factors of s(y)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 737, 748, 757, 764, 769?\n\"Answer: -n**2 + 14*n + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 3*v**2 + 3*v + 3. Let s(f) = 3*f**3 - 4*f**2 - 4*f - 4. Let l be (-567)\/(-12) - (30\/(-24))\/(-5). Let z = 50 - l. Determine z*s(x) + 4*n(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -60. Suppose -58 = -2*x - 10. Calculate the remainder when x is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - 5.08. Let k = -10.88 - 0.12. Let o = -15 - k. Which is the second smallest value? (a) 0.2 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = i - 7*j + 91, -3*j + 363 = -4*i. Let c = -86 - i. Let k = c - -28. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*1*-4)**2 - ((sqrt(90) - (sqrt(90) + sqrt(90)*-1))*5)\/sqrt(2).\nAnswer: -15*sqrt(5) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250341, -250317, -250293?\nAnswer: -250269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*f + 27 = -a, -15 = 5*f. Let d = -2127 - -2123. Put 1, d, a, 0 in increasing order.\nAnswer: a, d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -0.4 (c) 100 (d) 3 (e) 0.121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 427996618.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3 + 160\/28 + -5. Let m be ((-15)\/6)\/(18\/(-916)). Let s = -127 + m. What is the third smallest value in w, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2 - 254865*v + 4840630 = 0?\nAnswer: 19, 50954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2901750 divided by 73\nAnswer: -39750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)*-1 - sqrt(162))\/sqrt(9))\/sqrt(6) - (-1 + sqrt(96)\/sqrt(2)))**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 13*t = 290. Suppose 11*w - 1373 = t. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 10 + -18 + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.294 - 3.706. Which is the nearest to 2? (a) 2\/5 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5721 - 5720.3. Put -0.5, m, 2, 5, -3\/2 in ascending order.\nAnswer: -3\/2, -0.5, m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6765 (base 11) to base 16.\nAnswer: -22c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q + 1\/2*q**3 - 4*q**2 + 0 + 1\/8*q**4. Find the first derivative of w(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from {n: 14, i: 5}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/9724 - -14589\/9724. Let z = -4648\/11 + 422. What is the biggest value in z, 0.21, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 561 divide 2270900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115\/16 or 6?\nAnswer: 115\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t, 2*t = -5*j - 0*t + 86. Let q be (-1 - -3) + j\/(-2). Let z(m) = -5*m + 7. Is z(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54164367 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185\/1393 - 2\/199. Let t = 1033\/1771 + -3\/253. What is the nearest to -0.2 in 1, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1434 - g**3 - 1433 + 2*g**2 - 13*g**4 + 35*g**4 - 3*g + 0*g as o*g**2 + k*g**3 + p*g**4 + r + w*g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 37\/16?\nAnswer: 37\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 34 = 2*d, -112*s = -d + 28219 - 27894 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h + 106. Let k be o(-7). Let j be (1\/2)\/((-3)\/(-18)). Let i = j - 1. Calculate the highest common factor of k and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Let z = 1.8 + 0.2. What is the nearest to z in -4, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 14*m + 913. Let f(l) = -4*l**2. Give t(f(o)).\nAnswer: 48*o**4 + 56*o**2 + 913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, v: 2, l: 1, z: 1, x: 1}. Give prob of picking 1 v and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3906.759ms?\nAnswer: 3906759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*p - a + 12 = 0, 33 = -6*p + a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 4, -5, -67?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7444670 is divided by 2481478.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -45 - (-2 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 418700 and 15900.\nAnswer: 1256100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 0*x + 6*x. Let h(d) be the first derivative of d**5\/60 + d**3 - 3. Let i(u) be the third derivative of h(u). Give i(g(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/21)*o*o*o**1*o**(4\/3)*(o*o\/o**(-1\/5))\/o*o)**12 assuming o is positive.\nAnswer: o**(3204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -538*f + 536*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-10)*0)\/1. Solve -1 + s = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/3, 1, 0.086?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 + 1.3. Let h(n) = -n**2 - 19*n + 418. Let g be h(-32). Which is the fourth smallest value? (a) 0.4 (b) g (c) o (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114832*z**3 + 259*z + 17 wrt z?\nAnswer: -688992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85387441 - 0.3.\nAnswer: -85387441.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3826660 divided by 10484.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -52*f - 99. Let y be r(-4). Differentiate 30 - 3*n**4 + 9*n**3 - 2*n**3 + 6*n**4 - 87 - y with respect to n.\nAnswer: 12*n**3 + 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*-4\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -260243 - 111?\nAnswer: -260354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 15106*k - 15105*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*s - 1192 - 2739, -4*k + 5263 = -s. Let y = 3764 - 2531. Suppose 3*g - k = y. Round g to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45779001 and 35049?\nAnswer: 320453007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b9b (base 14) to base 4.\nAnswer: -111333311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 6:08 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5bcc (base 15) in base 13?\nAnswer: -8b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2661*r - 113*r**2 - 2650*r + 5303*r as y*r**2 + w + t*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4 - 4 + 2*b**2. Let j(c) = 260938*c + 30*c**2 + 260938*c - 521876*c. What is z(j(a))?\nAnswer: 1800*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*r - 1, -r = -3*w - 4*r - 15. Let u(m) = -8*m - 13. Let i(h) = -2*h - 3. Suppose -4*v + 12 = 4. Calculate v*u(a) + w*i(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q + 94. What is f(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62463.\nAnswer: 3, 47, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.715 - 251.79.\nAnswer: -253.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g**2 - 26*g + 21. Calculate s(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 - 310. Solve -q*c - 5 = -6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*l*w**6 + 13*l*w**3 + 2*l*w - 1041*l - 2*w**3 - 4*w**2 wrt w.\nAnswer: -5640*l*w**3 + 78*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 25. Let m(d) = -1. What is 75*m(j) + 3*v(j)?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49274501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323312.9 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*f**2 - 261*f**2 + 91*f**2 + 85*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-5*(10\/(-95))\/(80\/(-16)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/10 + 103*m**4 + 461*m**3\/3 + 2*m - 164. What is the second derivative of i(d) wrt d?\nAnswer: 12*d + 2472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w + 104*w + 41*w + 23*w + 93*w - 25*w.\nAnswer: 209*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 + 1610*j**3 + 135525*j**2 + 449500*j - 76880000 = 0. What is j?\nAnswer: -155, -32, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1018164?\nAnswer: 1018164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*d - 13. Let t be 44\/d + (-4)\/(-10). Let y be 2\/t - 68\/(-8). Solve 2*k + 5*i = -4 - 16, 5*k + 2*i = -y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Suppose b - n*z = -15, 2 = 5*b - 4*z + 13. Suppose -x + 2*a + 3 = 0, -x + 1 + b = -3*a. Solve -4 = -x*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + m + 3*m = 140, -145 = -5*l - 3*m. Let x = l + -20. Solve -x = -y - 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3331707 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 151*l**2 - 673*l - 78447. Determine d(-150).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51327?\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -21. What is the common denominator of -14 and h*4\/6*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/5))**4*x**(-5)*x*x*x*x**17\/x*x)**(-16) assuming x is positive.\nAnswer: x**(-1584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1, -32, -4\/7, -715\/8, 1\/3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -0.350247729?\nAnswer: -2.350247729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 6*q - 6. Let i be z(-5). Let n = -57\/5 - i. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -64 + 8. Let x = 24 + p. Suppose w = 3*w + x, 0 = 5*z + 4*w - 425. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59 - 14?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/19401?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 4*a**2 + a**2)*(-2 - 3 + 1) - 82*a**2 + 29*a**2 - 370*a**2 + 3*a**2 + 2*a**2 - 7*a**2.\nAnswer: -429*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -29*d**2 + d + 2. Let i be g(-2). Let k = 118 + i. Solve -4*r = 4, 5*c - k*r - 8 = 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095.512 minutes in nanoseconds?\nAnswer: 125730720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2. Let y(o) be the first derivative of -91*o**2\/2 - 171. What is y(z(c))?\nAnswer: 273*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 42 = 3*j. Let y = -12 - -15. Suppose -22 = -y*b - 4*a, -5*a + 13 + 16 = 4*b. Calculate the remainder when j is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5240673879 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 23296 = -11564. What is the highest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(81\/(-45)) + (-42)\/(-9). Which is the second biggest value? (a) -4\/23 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1488*i - 34551. Calculate t(23).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5 - 120*j**4 + 2688*j**3 - 26656*j**2 + 98784*j = 0.\nAnswer: 0, 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - -527195?\nAnswer: 527195.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3)*(15 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126107 - -7?\nAnswer: 126115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 4. Let x be i(4). Suppose 5*a = -x*a - 25. Let t be (-2)\/a - (-54)\/15. Solve 6*o + 3*j = o - 20, -o - t = -j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8442564 and 275301.\nAnswer: 25327692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c. Let a(y) = -11687234*y**2 - y. Determine a(x(q)).\nAnswer: -186995744*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.93 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619717849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4312804851138 and -5.\nAnswer: 4312804851133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 56.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(7)*-2)**2 - sqrt(7)) - (5*(sqrt(7) + sqrt(28)) + 1).\nAnswer: -57 - 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2572128 divided by 1248\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -42. Suppose -3*h + 191 = 5*f, k*h + 55 = f - 3*h. Suppose -n - 9*n = -f. Is n greater than or equal to 13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/8*1014 + 66\/(-88) and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(15) - (sqrt(15) + sqrt(30)\/sqrt(2)*-2))\/(sqrt(3) + (sqrt(135)\/sqrt(5))\/sqrt(9)) + 3)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 8:27 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 750371208 to the power of 1\/3, to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120\/2239 - 281087\/523926. Let x = t + 4\/9. Which is the third smallest value? (a) x (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b - 9*b**2 + 17*b**2 - 10*b**2 in the form i*b**2 + d*b + v and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112984109 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4456\/(-22280))\/(5*(-5)\/(-375))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -219443 and -42394375.\nAnswer: -42613818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -5\/2*j**2 + 0 - 14*j + 2*j**3. Does 9 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.6344 days in milliseconds?\nAnswer: 85072412160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4201*c = -4879*c + 18984 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 104, -1\/3, 0.09, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1933 divided by 11\nAnswer: -1933\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*w, -w = w + j - 11. Suppose -2*i = -4*i + w. Suppose 0 = -4*c + 5*c - 1. Solve i*v = -9 + c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1584 - 866. Suppose -u + b + 841 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.5 (b) -2\/15 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - q - 1 = -14, 5*s - 2*q = 19. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134436680 and 2074.\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1318783365 to five decimal places.\nAnswer: -0.13188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/10*6080\/(-6840)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/2 + 311*y\/2 - 915 = 0 for y.\nAnswer: 6, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033 divided by 2033?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013533941 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 - 0?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*z - 2550 = 93*z + 405 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186196 (base 10) in base 3?\nAnswer: -2020021011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 27*n**2 + 7545*n - 105423. Calculate l(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48837 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70360891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9925, -6782, -3639?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17230*p**3 - 2366*p**3 - 3706*p**3 - 3717*p**3 - 3730*p**3 - 3709*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n = 2*c - 190, -4*c + 368 = 3*n. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 204*j**2 - 1289*j + 88871. Determine r(100).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-12)\/(-16)*(-56)\/(-21). What is the second derivative of -5*z**4 + 3*z**4 - 4*z**3 + 9*z + 4*z**4 - 4*z**4 + r + 0 wrt z?\nAnswer: -24*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p. Let z be j(-5). Let w = 86 + -72. Suppose 4*l - 34 = -w. Solve -l*k + k = z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-2)*53\/(-424)*31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 261*x - 1154256 - 449762 - 6270091. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4905786 or -4905897?\nAnswer: -4905897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 649038 divided by -26?\nAnswer: -24963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 7. Calculate the least common multiple of 8 and o(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/282 and -37\/2.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864 and 2248.\nAnswer: 242784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 47*n + 3424. Let w be v(86). Solve -16*f = -6*f + w for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46624987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 1074 = 1106 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27462 (base 11) to base 7\nAnswer: -222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.328 - -489307882.8.\nAnswer: 489307978.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -357? (a) -5 (b) 0.3 (c) -2\/7 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/4 - -1\/4. Let f = 1.92 - -0.08. What is the third biggest value in -0.2, i, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 999.18 + -966.760724.\nAnswer: 32.419276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k - 255. Let w be g(0). Let j = 374 + w. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j - 9. Let a be d(-8). Suppose a = 5*r + 7. Does 3 divide 62\/10 + r\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 - -131. Let a(l) = -9*l**2 - g*l**2 - 1 - 2*l + 39*l**2. Let w(b) be the first derivative of -b**3\/3 - b**2\/2 - b - 2. Give a(z) - w(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 580.2944 litres?\nAnswer: 580294.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 10. Let g be f(1). Let x = 9 - 5. Solve 9 = 4*b - g, -x*b = 2*n - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjxxxxxiyxxjjjsdsxx. Give prob of sequence jijd.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 23*j = -2*l - 87, 6*l - 81 = -3*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**3 - 5*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2796 or -2793?\nAnswer: -2796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 7. Determine f(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + a - 2*a - 23, 0 = -5*u + a + 35. Solve 2*m - u*m = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05027 to three dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.60647 - 0.03647. Which is the second biggest value? (a) 2\/61 (b) 3\/5 (c) -4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 454, 948, 1434, 1906, 2358, 2784, 3178, 3534?\n\"Answer: -m**3 + 2*m**2 + 495*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 13) - -6 - (12 + 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, -5 in decreasing order.\nAnswer: 5, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 + -2)\/((-13)\/(234\/(-45))). Let j = -2189\/5 + 441. Determine o, given that -2\/5*o**2 - b - j*o = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 36*j + 48. Calculate m(3).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-10)\/(c\/((c\/c**1*c)\/c)) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1511217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1050 + 1610. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Let k = 197 + -197.04. Sort k, 0, a in ascending order.\nAnswer: k, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6256258 and 13.8.\nAnswer: -86336360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41 and -69\/446.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133191640 and 22360?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 plus 0.1625?\nAnswer: 30.1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 4) to base 11\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 - 1930102*q**2\/3 - 1862697046840*q\/3 - 96855027510176\/3.\nAnswer: -(q + 52)*(q + 1930076)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 2*l**2 - 2*l. Let p(d) = d**3 - d**2 - d. Calculate o(s) - 2*p(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 958 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -39310625\/3 and -13103543 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 - 8*k - 12. Suppose 6*v = -23 - 13. Let h be u(v). Let b be ((-2)\/3)\/(10\/(-6)). Is b < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 20. Suppose 24*x - o*x = 60. What is the third derivative of 8*v**3 - 8*v**3 + 10*v**6 + 2*v**6 - x*v**2 wrt v?\nAnswer: 1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (553\/(-4))\/((-91)\/26). Is 39 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = -5*x, x + m = -3*m + 15. Let d = -119 + 949\/8. Is x less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3610 - -3616. Are -41 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -179*n**3 - 6*n + 2. Let w(f) = 718*f**3 + f**2 + 28*f - 9. What is 9*r(m) + 2*w(m)?\nAnswer: -175*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c = 39*c - 80 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24049516 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 4*j**2 - 6*j - 8. What is r(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**2 - 3*s - 1. Let v(m) = -3*m**2 - 4*m - 4. Let k(d) = d**2 - 1. Let x(a) = -4*k(a) + v(a). Let u(t) = 3*p(t) - 2*x(t). Give u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 3*t - 4. Let z be i(-2). Let l = -992061 + 13895123\/14. Let a = -448 + l. What is the second smallest value in -3\/7, a, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 3*k - k)*(7*k + 3*k**3 - 7*k) + 2*k**4 - 4*k**4 + 3*k**4 to d*k + v*k**4 + t*k**3 + a + m*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682673670 rounded to the nearest 1000000?\nAnswer: -1683000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + 40. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 27596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*j**5\/7 - 176*j**4\/7 + 862*j**3\/7 + 2852*j**2 + 59208*j\/7 - 26928\/7 = 0. Calculate j.\nAnswer: -17, -6, 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a*a**(-9\/8)\/a*a**(2\/15)*a\/a**22)**(1\/12) assuming a is positive.\nAnswer: a**(-2719\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 3*d + 621. Let c be 1*5\/((-15)\/d). Suppose -c - 83 = -4*v. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90.4 - -90. Let w = -0.928 - -1.928. Which is the closest to w? (a) l (b) -1\/2 (c) 15 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/20 - y**4\/3 - y**3\/2 + 3*y**2 - y. Let q be u(4). What is the smallest common multiple of q*(-3 - -2*1) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183 is divided by 286.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1363*g + 12572. Determine l(9).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 21465108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 10:18 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -485\nAnswer: -1\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1704*k**2 + 2. Let a be w(5). Let l = a - 65402. Round l to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5189 + 5175. Suppose -16 = z + 2. Let c = y - z. Solve 5*a = -2*n - 3*n - 5, -3*a = -c*n + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 18 = -4*a. Let h be (2 - a)\/(2\/(-3)). Let f be 3 + -3 + -4 + 4. Solve -18 = -3*n - h*v, f = 4*n - 3*v + 6*v - 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 2*b**2 + 4*b - 6. Let a be u(2). Let l be -32*(a\/(-4))\/(-1). Sort l, -0.1, 2.\nAnswer: l, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 58738476*n.\nAnswer: -n*(n - 58738476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468693.\nAnswer: 3, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*s**3 + s**2 + 22*s?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/3542 and -5\/882?\nAnswer: 223146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9106*u. Let y(n) = -4*n. What is y(m(q))?\nAnswer: -36424*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 24*x + 66. Let m be w(-8). Solve -6 - m = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(-10*c - c**3 + 10*c) - 3*c + 3*c - 2*c**3 + (123 + 19*c - 123)*(0 + c + 0)*(2*c - 2*c - c) - c - 2*c**3 + c.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 153 = 147. Let o(v) be the second derivative of v**4\/12 - v**3\/6 - v**2\/2 - v. Let d(s) = -14*s**2 + 12*s + 10. Give y*o(i) - d(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*f - r + 148, 205 = -2*f - 1765*r + 1770*r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 12. Let g be n(-3). Let p(d) = d**2 - 2*d + 9. Let q be p(g). Let y(h) = h - 4. Let i be y(7). Calculate the greatest common factor of q and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97170 and 4038480.\nAnswer: 165577680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -25. Solve 4*o = -a*v - 30, -4*v = -2*o - 1 - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.077 + 44.5. What is f rounded to 2 dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let z = g - 2. Suppose z*n = 3*n - 99. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a factor of 28828184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 18*s**2 - s + 18. Let a be t(18). Suppose 2*m + 1 + 1 = a. What are the prime factors of (-9)\/(-3) + (-9)\/m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/33? (a) -4 (b) 0.1 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 96*q**2 - 219*q + 2374. Let p be v(98). Solve -23*z = -3*z - p for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a - 14. Calculate k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:19 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, i: 3}. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11*c + 33. Let d(z) = 22*z**2 - 2*z. Calculate k(d(b)).\nAnswer: -242*b**2 + 22*b + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.2. Let l be (-14)\/(-105)*(-214)\/16. Let d = l + 9\/20. Sort -3\/7, m, d in descending order.\nAnswer: m, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876 a factor of 160896632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*r - 4920 + 1686. Suppose -4*l + 90 - 242 = -2*f, l + 5*f + 49 = 0. Let w = l + r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -1, 21, 63, 131?\n\"Answer: j**3 + j**2 - 2*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7660, 7421, 7022, 6463, 5744, 4865?\nAnswer: 3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2132, 2134, 2138, 2144?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 + 2*r**4 - 190*r**3 + 4*r - 4*r - r as v*r**4 + k*r**3 + u + q*r + p*r**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037721617.\nAnswer: 97, 10698161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 + 2*j - 3. Let k be q(-7). Suppose k = -5*z + 107. Let v = 1 + z. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 230, 3 in ascending order.\nAnswer: 3, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (644\/10)\/(46\/115). What is the highest common factor of b and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1101 (b) -41 (c) -1\/6 (d) 0.5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3 + 3)*(3*w**2 + 3*w**4 - 3*w**2) + 7*w**5 - 7*w**5 + 7*w**5 - 14 - 6*w**5 + 14.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u + 5 - 2*u**2 + 28*u + 2*u**3 - u**4 - 1 in the form h*u**4 + n*u + t + z*u**3 + k*u**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.3 (c) -2\/513\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-54)\/(-42)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -30*p**4 - 5276*p**3 + 51426*p**2 + 136296*p + 25160 = 0.\nAnswer: -185, -2, -1\/5, 34\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3847*d**2 - 512*d**2 - 3369*d**2.\nAnswer: -7728*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**4\/24 - 5*y**3\/6 + y**2. Suppose -2*s - 27 = 19. Let a = 18 + s. What is k(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 3, j: 12}. Give prob of picking 1 j and 1 e.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 2. Let h be (-1)\/4 - (-68)\/16. What is the tens digit of l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from {v: 5, u: 7, m: 2}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + 0*s)*(-1 + 3 - 1) + 62 - 663*s - 29 - 35.\nAnswer: -662*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (1 + -260)*(2784\/(-203))\/4.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6307 + 136*f - 6307.\nAnswer: 136*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**3 + 7425*d**2 - 59640*d + 119440 = 0.\nAnswer: -1493, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 - 177656*f**2 - 70435036*f - 70257376 = 0 for f.\nAnswer: -392, -1, 44807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22783*n**3 - 2412*n**3 + 5226*n**3.\nAnswer: -19969*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4 - -5) - -3. Suppose -5*y + 4*j + 15 = 0, h*j - 3*j + 15 = 5*y. Let f(m) = -m + 6. Let l be f(6). Solve -y*g = -l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**6\/3 - m**3\/3 + 7. What is the third derivative of s(c) wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*h - 44, -p + 113914 = h + 113868 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**9\/1512 + u**5\/30 + u**3\/3 - 3. Let z(b) be the third derivative of o(b). What is the second derivative of z(y) wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3018*-3\nAnswer: -0.9054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5326076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 2098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, c: 1, b: 1, g: 3, y: 3}. Give prob of sequence cbk.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = q - 42. Suppose -5*b + 2*y - 121 = -2*y, -4*b = -3*y + q. Let n = 40 + b. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920516508.\nAnswer: 2, 2393, 200639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 58, 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-17)\/v)**(-8) assuming v is positive.\nAnswer: v**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/28 and 109\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.79102764 rounded to four decimal places?\nAnswer: -6.791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1047824176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/19)\/(l\/l**12))\/(l**(-34))**(-6))**(-25) assuming l is positive.\nAnswer: l**(91600\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.2, -3, -4\/99.\nAnswer: -3, -4\/99, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 88*y - 120. Let c(p) = 134*p - 181. Let s(l) = -11*a(l) + 7*c(l). What is s(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4582, -4943, -5302, -5659, -6014?\n\"Answer: t**2 - 364*t - 4219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*t - 6*t + 82 = -86. Solve 24 = -5*o + m, -15*m + 10*m + 5 = -t*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 5. Let z be 5500\/22*(1361 - u). What is z rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (184\/138)\/((8\/(-102))\/1). Put 55, t, 1 in descending order.\nAnswer: 55, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, 4, 36, -3 in decreasing order.\nAnswer: 36, 12, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19906)\/518 - (1\/(-3))\/((-21)\/(-27)). Do -586\/15 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -22. Factor 0*r**3 + 0*r**4 + 64*r - 27 - n*r**3 - 37 + 4*r**4.\nAnswer: 4*(r - 2)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**3 + m**2 + 22*m + 14. Let r(z) = 5*z**3 + 12*z + 8. Suppose 7*x - 5*x - 39 = -5*h, 3*x = -h + 13. Let d(o) = h*r(o) - 4*u(o). Calculate d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4814 + -4848.63. Let w = 0.37 - z. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197322903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1184)\/(-296) - (48 + 11)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 1, x: 6, s: 1, f: 6}. What is prob of picking 3 x and 1 q?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0, -2 in ascending order.\nAnswer: -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * -24.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 + 6 = 0. Let k be (-10)\/(-25) - 3\/(-5) - 1. Suppose -j*g - 16 + 668 = k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {s: 1, g: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.342 to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(32))**2 + 2 + sqrt(8)\/sqrt(4).\nAnswer: sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3304 + -1713. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {w: 1, r: 4, b: 1, v: 1, t: 1, d: 5}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (17 - 4) - (-115 - -71).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**2 + 57*o**2 + 43*o**2)*(-o**2 + 4*o**2 - o**2).\nAnswer: 216*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269358 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + g - 4. Let c be r(2). Let v be (-1 - -2)*0\/(c\/6). Sort -4, v, -3.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41.2119 and 6.\nAnswer: 247.2714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 1\/3 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 4*m**2 - 1. Let l be a(-3). Let y = -6 + 9. Let t be l\/30 + 649\/y. What is the greatest common divisor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 60*n + 347. Let x be i(54). Solve 4*o - 35 + x = 0, 2*c + 5*o - 17 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/51 and 36\/119?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/188 less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 9 = 3*g, 6 = -2*g + 3*v - 8*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -149805, -40, -10 in decreasing order.\nAnswer: -10, -40, -149805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-20)\/(-6))*-2. Let v be (2\/(-4))\/(d\/24). Solve 20 = 3*k - 7*k - 3*j, -v*j = 2*k + 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 325 = -6*a. Let v be (-1 + -11)\/3 + (1 - -5). Suppose -5 = 2*h - 5*l, -h + 5*l = v*l + 4. What is the greatest common factor of a and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 15*j + 17. What is q(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 41. Suppose 9*k + 92 = 371. Calculate the remainder when k is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12978 and -121\/722442?\nAnswer: 2167326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v - 3*p, -6 = -v + 5*p + 2. Let a = -2 + 2. Suppose h = 2*w - a + 2, 0 = 4*h + 2*w - 18. Calculate the remainder when h is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 1)*(-9)\/(-1). Suppose 9*w = 4*w + 45. Calculate the greatest common divisor of a and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f - 2*f. Suppose 0 = 4*n - 44 + 8. Let g(w) = w + 2 + n*w + w - 8*w. Let l(t) = t. Calculate f*l(p) - g(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1484 and ((-600)\/(-1728))\/((-14)\/20).\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 15*z - 23. Let m be k(3). Calculate the highest common divisor of m and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2024 - 1964 = 10*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -0.01, -198?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 27, 4, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62141249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1158 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300)*-2 + -4) - sqrt(1300))**2 - (1*sqrt(52) - -2*sqrt(1872)).\nAnswer: 134*sqrt(13) + 5216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 769.6274 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1885 and 52403?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (19 - (-4 - -14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15188 is divided by 217?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9953 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2305242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -1a0b073?\nAnswer: -1a0b071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 35569830973\nAnswer: -35569830977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6583860789 - 6583860789 - 27*s**2.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 2403303.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Suppose j - 5*x + y = 0, -6 = 2*j - 0*j - 2*x. Is (-55)\/(-2) + j\/2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 7, -2, -12.\nAnswer: -24, -12, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7185869*y**3 + 7185880*y**3 + 3*y - 3*y + 2.\nAnswer: 11*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-24)\/(-4))\/(2\/21). Is -20 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252330001 (base 6) to base 15.\nAnswer: -665b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 209*d**2 - 226*d - 1913. Calculate u(-208).\nAnswer: 1831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 2. Let s = -8 - -10. Let f be b(s). Solve -3*r + 5 = f*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8758 is divided by 2696?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 + -4 - -9 - (-7)\/28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-4))\/((-6)\/(-4)). Let s = 262 - 1837\/7. Let y = 153\/338 + 177\/169. Which is the nearest to y? (a) m (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 79473388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (((-74160)\/(-310))\/12 + -7 + -3 - 1)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2906373 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 2 - (-2 - 7)) + -17 - 53.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28212 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 6 - 6 = 0. Let x be 0*(-1)\/(-4) + 110 - f. Suppose 5*o = -t - 2*t + 328, x = t + 2*o. Calculate the lowest common multiple of 8 and t.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 32, 28, 22?\n\"Answer: -p**2 + p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4092)\/(-6820) - 7\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2263*n + 233098. Determine v(-103).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.16 - 0.86. Let y = o - 0. What is the closest to 1\/4 in 4, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26.58 and -6.7.\nAnswer: 19.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.325 - 0.525. Which is the closest to y? (a) 1\/3 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 937\/9 + -104. Let g = 55 + -30. Let a = 27 - g. What is the third smallest value in a, b, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 - ((-2 - -8) + (2 - 6)). Let h be (-3)\/(6*4)*-2. Which is the biggest value? (a) 4\/5 (b) h (c) g (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604850571?\nAnswer: 3, 7, 61, 89, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/469 - -919\/8911. Let x = -46 + 43. Let u(k) = 3*k + 10. Let y be u(x). What is the smallest value in 5\/2, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 + sqrt(1584) - sqrt(1584)) + -4.\nAnswer: -3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 - 29*m**2\/7 - 80*m\/7 - 52\/7.\nAnswer: -(m + 1)*(m + 2)*(m + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10245385.\nAnswer: 5, 2049077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682 = -13*s + 15*s + 2*d, 4*d = 3*s - 1037. Solve s = -9*q + 334 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -5 (c) 7\/4 (d) 3\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113843 - -16393477\/144. Find the common denominator of n and -143\/24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p + 3*p)*(1 + 0 - 2)*(-4*p + 13*p - 5*p) + 16*p**2 + 36 - 36.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**3\/3 - 5*r**2\/2 - 4*r - 1. Let s be f(6). Suppose -2 = -4*p - 2*y - 4, -3*p + s*y + 9 = 0. Which is smaller: p or 7\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 21742281\nAnswer: -1\/21742281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 - 2*m - 1. Let y(x) = -x**3 + 5*x**2 - x + 2. Let t be y(4). Suppose -t = 5*z + 4*a, -z - z - 3*a = 7. What is r(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535768 divided by -2?\nAnswer: -267884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 3*b. Let s be f(5). Let p = s + 1. What is the units digit of 282\/54 - (-2)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r - 19. Suppose 3*f = 0, -3*x + 19 = -f - 23. Is 37 a factor of t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16652828*c**2 + 36751191.\nAnswer: -33305656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3\/3 - 9*u**2\/2 - 9*u - 2. Let d = 124 - 117. Let w(g) = 3*g**2 - 20*g + 1. Let k be w(d). Calculate p(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 15. Let n be 54\/v + -1 + 0. Suppose 2*t = -2*j + 16, -n*t + 30 = 4*j - j. Solve 0 = -8*m + t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 32, 49?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 5) in base 15?\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 115 - 9359*n**2 + 9358*n**2 + 8*n - 108. Calculate j(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1119, 1083, 1047?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84568.03 centimeters to nanometers.\nAnswer: 845680300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i - 3*i - 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -130109.4 times -66?\nAnswer: 8587220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h. Let d(m) = -339*m + 1. What is d(k(c))?\nAnswer: 1695*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = -15*c - 5*c + 17*c, -2*c - 157 = 12*m - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Let u be 0\/(f + 0\/(-1)). Solve 11*z - 6*z - 5 = u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 20 = 0. Let o(l) be the third derivative of 17*l**4\/12 + 13*l**3\/6 - 583*l**2. List the prime factors of o(t).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1004, -2054, -3146, -4298, -5528, -6854, -8294?\nAnswer: -9866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(108\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 28 = -0*k + 5*m, 0 = -2*m - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -32, -49, -70, -95, -124?\n\"Answer: -2*k**2 - 7*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(2\/7)*y*y)\/y)*y\/((y*y**(-2\/11))\/y))\/(y**(4\/9)*y\/y**(-2\/5)))\/((y\/y**7*y**(-1\/7))\/(y\/(y\/y**(-4\/7))*y**(-3\/5)\/y)) assuming y is positive.\nAnswer: y**(1402\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2226011, 4452016, 6678021, 8904026?\n\"Answer: 2226005*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18)*(-6 - 0). Let t = 12 - 22. Let s = -5 - t. Which is the third biggest value? (a) s (b) -2\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2)*1*4 + (sqrt(450) + sqrt(18))\/sqrt(9))**2 - (sqrt(16)\/((sqrt(56) - sqrt(56)*-2)\/sqrt(7)) + sqrt(72) + -1*sqrt(72) + 2).\nAnswer: -301*sqrt(2)\/3 + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -r + 8, 9 + 5 = 2*x + 4*r. Let l(j) = -j + 3. Let o be l(20). Let u = o + 22. What is the smallest common multiple of u and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1034*g - 296*g + 63*g**2 - 136*g**2 + 68*g**2 - 88445 = 0. What is g?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7 - 3*n + 57 - 30. Let g be j(5). Suppose p = -4*i - 28, 0*p - 3*p + g*i = -1. Which is greater: -7 or p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/8)*a\/a**(-1\/33)*a assuming a is positive.\nAnswer: a**(635\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 2, x: 3, g: 5, r: 1}. What is prob of sequence djdx?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -22 + (-31 - -20).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**4 - o**2 - o + 2. Let n(d) = 2*d**4 + 956*d**3 - 115192*d**2 + 227530*d - 113292. Let f(q) = n(q) + 2*p(q). Factor f(g).\nAnswer: -2*(g - 238)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 30461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 + 3*l + 4. Let a be i(6). Let x = a + -18. Solve x*b + b + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 739\/221 + -45\/13. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 12*k**2 + 13*k + 5. Let o be x(-13). Solve -4*j - h - 7 = 0, -o*j + 1 = -h - h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*o + 2, 6*o = 3*o + 3*y - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(-6))\/(-11) - 539\/6. Calculate the common denominator of (-3555)\/f*1\/10 and -41\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*l**3 - 16*l**3 + 2*l**2 - 3*l**2 - 304*l + 15 - 14 + 106*l to the form b + v*l + p*l**2 + q*l**3 and give v.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + 5*c**2 - 6*c**2 + 0*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 + 11\/(-5). Let v = 3.1 + -3. What is the nearest to v in t, -1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2 - 11 + 47)*(-u**2 - 2*u**2 + 7*u**2).\nAnswer: 4*u**3 + 136*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/344)\/(1\/((-8)\/10)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*((sqrt(121) - (2*sqrt(121) + sqrt(121) - sqrt(121))) + sqrt(121))*-4*-6)\/(-1*1*(sqrt(66)\/(sqrt(6)*1) + sqrt(11))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -75*r + 3*r**2 + 9*r**2 + 36*r + 40*r. Let n = 0 - -1. What is v(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*c - 44 = 0, 3*p - 5*c - 19 = 36. Calculate the lowest common multiple of p and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 60*d - 127*d + 63*d.\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1751, 2, 4, 60 in increasing order.\nAnswer: -1751, 2, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgohuwy. What is prob of picking 1 y, 1 g, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -6. Let o = v + -19. Let f = o - -5. Which is the nearest to -0.2? (a) -5 (b) f (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*12\/(-80)*((-182)\/14)\/13. Let z = 2 - 2.3. Let n = -668\/2387 + -2\/341. Which is the second biggest value? (a) n (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1567 - 450. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + 14 + -11 + 29 + -3 + -21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2217 - -4176. Does 85 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*u + 89*u = 474. What are the prime factors of u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 539 + -331. Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 7*z - 16. Let u be m(-10). Suppose -u*k + 15 = -9*k. Let v be (6\/(-20))\/(10\/(-125)). Is k <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000430878 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u = 327*u - 9722465 - 10911295. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 15*d**2 + 3*d + 19. Let q be w(-15). Let v = q + 33. Suppose v + 22 = f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 g when four letters picked without replacement from {g: 4, o: 2, j: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11a8 + 9b17?\nAnswer: acc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.1 - -51.9. Let r = y + -29.5. Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 2)\/(6\/186) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose -a*n + 0 = -2. What is the third biggest value in n, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 373?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 885\nAnswer: 4\/885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2. Let x(j) = -j**3 - 7*j**2 - 5. Let b(a) = -a**3 - 9*a**2 - 6. Let f(o) = 5*b(o) - 6*x(o). Determine 3*d(z) - f(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 420, 862, 1304, 1746, 2188?\n\"Answer: 442*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 203700 and 2007900.\nAnswer: 14055300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070872127 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/(-232) - (-1)\/(-4). Let w(t) = -48*t + 124. Let z(q) = -q + 1. Let b(h) = w(h) - 10*z(h). Let s be b(3). Is s at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 15. Let s be v(-19). What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00375076 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1. Let n(o) = o + 9. Calculate -n(z) + 4*p(z).\nAnswer: -z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -17. Let f = -3 - 2. What is the second biggest value in o, 6, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4508)\/(-216) - (-2)\/(-3). Let k = h - 409\/27. What is the common denominator of 11\/4 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 0. Suppose v = n + 5*v - 40, 0 = n + 2*v - 30. Calculate the lowest common multiple of b and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657442.\nAnswer: 2, 328721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 40 = 7*a. Calculate the highest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.112 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383955 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = 75*t + 217 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 512977051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.116 (b) 0.3 (c) 7 (d) 524\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 18. Let g = -3 + v. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 1784*f**2 - 740449*f + 6560. Determine d(657).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 119 = -3*l, 0 = -2*q - 0*l - l - 41. Let t(y) = -y**3 - 22*y**2 - 3*y - 54. Calculate the remainder when 39 is divided by t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.8 (b) -1 (c) -2 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 = -3*u, 5 = 2*u + 5*j - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868.6615 millimeters to nanometers.\nAnswer: 868661500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 0*g**3 - 8866 + 4431 + 4435.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u - 2. Let l(q) = q**3 - 3*q**2 - 5*q + 3. Let m be l(u). Let b(o) be the first derivative of -o**2\/2 - o - 7. Determine b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*2 + 0 + sqrt(98) + 0.\nAnswer: 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 12. What is the remainder when 84 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 5. Let u be s(0). Let v be 170\/u + (-3 - 1). What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31682498 divided by 31682498.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*d = 2*d - 77, -5 = 5*d. Calculate the least common multiple of c and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 13*v + 24. Suppose v*o = -o + 80. Suppose f + m - o = 5, -87 = -4*f - m. Calculate the highest common factor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 7*j - 9. Let h(k) = -k**2 + 7*k - 8. Let c(s) = 4*h(s) - 5*l(s). Let u be c(5). Let r(g) = 3*g + 2 + 19*g**2 - u - 24*g**2 - 1. Give r(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6680 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*l**3 + 69*l**3 - 171*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(14)*-1*5 + 5*sqrt(56)\/sqrt(4)))\/((sqrt(22)\/(sqrt(11)*1) + sqrt(2) - (sqrt(2) - sqrt(18)\/(sqrt(9) - (sqrt(9) - -2*sqrt(9)) - sqrt(9))))*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1590, -1521, -1392, -1203?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -254, -1065, -2422, -4325?\n\"Answer: -273*t**2 + 8*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74, -149, -224?\n\"Answer: -75*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*sqrt(325)*1)*6.\nAnswer: -120*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9738, 9735, 9726, 9711, 9690, 9663, 9630?\n\"Answer: -3*t**2 + 6*t + 9735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -106*h**4\/5 + 4992*h**3\/5 - 69476*h**2\/5 + 48048*h - 4410 = 0.\nAnswer: 5\/53, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)*(-3)\/1. Find the third derivative of 17*y**n - 4*y**2 - 12*y**3 + 3*y**2 - y**2 wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 675 + 10853. What are the prime factors of h?\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -26*v - 5. Let i be t(-4). Let m be 4\/14 - i\/(-21). Suppose m*j = j + 52. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0047903 and -123.79197?\nAnswer: 123.7871797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 0*t**2 + 0*t**2 + (-2 + 2 - 2*t**2)*(4 + 1 + 0).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 5*i. Let d be b(5). Let h = d + 3. What is the derivative of -3*s**4 + h - 3 + 1 wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o - 3. Let i(d) = d - 2. Let w(p) = -p + 4. Let z(f) = 9*i(f) + 4*w(f). What is -3*m(v) + 5*z(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -69. What is the highest common divisor of i and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 4 - (-19 + (9 - -30)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.452 - 3.4. Let i = 20.948 + f. Let d = -20.8 + i. Put 2\/7, -2, d in increasing order.\nAnswer: -2, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 412 - 160. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 45, 102, 181, 282, 405?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -95632 divided by -4?\nAnswer: 23908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-8)\/14 + (-480)\/42)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 212\/3 + 4\/(12 - 0). Let a = o + -43. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15 = -7*i. Let k be 34\/4 - i\/(-6). Suppose -214 - 234 = -7*c. Calculate the highest common divisor of c and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*y**2 - 16090*y**4 - 94*y**3 + 8042*y**4 + 8046*y**4 to w + j*y + f*y**4 + t*y**3 + a*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 4 = -2*i. Suppose 0 = -22*d + i*d + 144. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-68)\/24)*10\/35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 4*d + 2892. What are the prime factors of i(-100)?\nAnswer: 2, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*b + 11, 2*q + b = -2*b + 10. Let w(t) = t**3 - t**2 - 19*t + 5. Let z be w(-4). Put q, -0.4, z in ascending order.\nAnswer: q, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -33 (b) 1 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18260994 divided by 2?\nAnswer: -9130497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -12913097836.07.\nAnswer: -12913097836.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17740 divided by 10\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15340 + 3328. List the prime factors of i.\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0.5, -19, -1 in decreasing order.\nAnswer: 0.5, 2\/17, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgh when three letters picked without replacement from yssyyhgjysy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 44 = -0*h. What is the least common multiple of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15069 = 5*r + v - 776659, -v = 3*r - 456952. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89809661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0545 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 14 = -5*i + 3*h, -h = -2*i + 38. Let u = i - 2. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*g = x + 2, g + 3 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 2.94. Suppose 2*c - 77*d - 8 = -75*d, 4*c + 26 = -2*d. Let k = -0.1 - -0.1. Sort k, c, u in increasing order.\nAnswer: c, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 15 = -2*i + 3, -g - 2*i = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + 133\/(-28) - -4. Let s = 54 + -164\/3. Which is the biggest value? (a) -2 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + x + 6, -2 - 2 = -2*x. Determine j so that 7*j**3 - 8*j**5 + 4*j**u - 2*j**4 - 2 - j**3 + 10*j**3 - 8*j = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = -7*g - 5*v - 480 + 865, 0 = -2*v - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503853.\nAnswer: 3, 7, 23993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 1433 - 1430 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 88 - 168\/14 - -7. Solve -2*n + 86 - h = w, 4*n - 8 = -4*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by (2280\/36 - 12)*(15\/21 + 1).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = m - 5*d, 5*d - 21 = -2*m. Suppose 0 = -2*v - b + 10, m*v + 3*b = -2*v + 26. Suppose -4*r + 16 = v. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7782 - -7644. Put -1, l, 2\/5 in ascending order.\nAnswer: l, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 19 + 26 + 11 = 2*i, -2*u + 3*i - 14 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtod when four letters picked without replacement from {e: 1, x: 1, d: 6, q: 5, o: 1, t: 3}?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(0 + -1)*1. Suppose 3*o + 17 - 1 = -5*a, -b*o + 5*a = -4. Suppose -6*i + 2*i = 4*g + 16, 2*i = -5*g - 20. Put o, i, 3 in decreasing order.\nAnswer: 3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17314008, -34628024, -51942040, -69256056, -86570072?\nAnswer: -103884088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Suppose 4*k + 3*w = -28986856, g = -3*k - k + w - 28986840. Let n = k + 19746711. Round n to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867233.8 decades in centuries?\nAnswer: 86723.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, b: 3}. What is prob of sequence rbb?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 - p**2 - 5*p - 1. Suppose 24 = 5*r - 2*v, 2*r - 6 = -r - 3*v. Give l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4459033 - -1.337\nAnswer: 1.7829033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1780 + 176 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*y + 5 + 4 + 26*y)*(-2 - 2*y + 2).\nAnswer: -2*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 56*f**2 - 10*f + 15. Calculate y(2).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 3*g - 449 = 0, -g + 343 = -3*z. Let m = 57 + z. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12300 = -185*w + 195*w. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523072522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36.33 and -3.\nAnswer: 33.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:41 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-2 - 205\/(-10)). Let w = h - -39. Suppose 5*l - 7 = w*p - 1, 4*l - 14 = -3*p. What is the least common multiple of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10620 - 6648. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3\/6 - 20*n - 1. Let h(t) = -24*t**2. What is l(h(j))?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**2 + 0*u**2 + u**2)*(-4121*u + 6690*u + 4654*u) as k*u**2 + n + a*u**3 + b*u and give a.\nAnswer: -21669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:06 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4801*2\nAnswer: 0.9602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2175 + 3528. Find the third derivative of 1353 - 4*r**6 - x + r**2 wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9*v - 448 = 13*v, 4*v - 472 = -2*f. Calculate the smallest common multiple of f and 55.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 2 + 120\/60. What is the third smallest value in 0.6, -4, 5, u?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 308, 676, 1192, 1856, 2668, 3628?\nAnswer: 4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Suppose -2*i - g - 2*g + 138 = 0, 0 = -4*i + 2*g + 292. Suppose -99*p = -95*p - i. Solve 0 = -3*c + 2*r + 2, 0 = -3*c - b*r - p - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 63a1?\nAnswer: -63a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 5, w: 1, h: 5}. Give prob of picking 1 w and 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39439 - 14714 = -1281*a + 25269 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -339.29506 - -324.295069. Let n = g + 15. Round n to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 88 + -22 - -12 - -35.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h + 92. Let q(p) = 27*p + 461. What is 22*o(z) - 4*q(z)?\nAnswer: 2*z + 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -23, -0.1, -7\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3 + -1)*26 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**9\/68040 - v**8\/30240 + 5*v**4\/4 - 3*v. Let f(m) be the third derivative of b(m). Find j such that f(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -1379*p**5\/60 + p**4\/24 + 3047*p**3\/3 + p**2 + 3173. Find the first derivative of z(m) wrt m.\nAnswer: -2758*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = -4*x + 13, 5*x - 2*p = 20. Let y be x\/(-6) + 20\/15. What is the remainder when -1 - (6 + y)*-11 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 2*c**6\/15 - 388*c**5\/5 - 136*c - 3. Find u, given that m(u) = 0.\nAnswer: 0, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 8*u - 32. Let o be f(-4). Let g = 257 - o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 33. Suppose 3*s = 62 + g. Solve 5*q - 2*x = -x - s, 8 = 2*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10028 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 312?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**3 - 26*x**2 - 71*x - 3. Calculate p(-3).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -22*c**3\/3 - 30*c**2 + 4*c + 80\/3 = 0.\nAnswer: -4, -1, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4848.351 centimeters in kilometers?\nAnswer: 0.04848351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + -8de04?\nAnswer: -8ddde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*j*r**3*s + j*r**2 + 3*j*s**3 + 4*r**3*s**3 - 10*r**3*s**2 - 3*r*s**3 wrt j.\nAnswer: 26*r**3*s + r**2 + 3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551 and 12087287.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**3 - 4*a**2 + 2*a - 4. Let r(t) = 6*t**3 + 3*t**2 - t + 3. Calculate 4*r(o) + 3*s(o).\nAnswer: 6*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1101, -5 in ascending order.\nAnswer: -1101, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -3. Let p be -2 - s\/(-2)*1. Is p greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 + -143. Let w(b) = -z - 12*b + 133 + 2*b. Determine w(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v + 6*v + 20*x + 184, -2*v - 4*x = v - 2*v - 64 for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 5*u**7\/126 - 5*u**6\/3 + 97*u**5\/4 - 1825*u**4\/18 - 750*u**3 + 7500*u**2 + 7774*u. Let c(g) = 0. Calculate g.\nAnswer: -3, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (13 - (-14 - -24) - (2 + -10)) - 40.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44924 is divided by 288?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**8\/5376 + 5*l**7\/672 + 25*l**6\/192 + 125*l**5\/96 + l**4\/2 - 24*l. Let b(i) be the third derivative of u(i). Factor b(r).\nAnswer: 5*(r + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 62. Let l be v(-21). Let c = -71 - l. Calculate the least common multiple of c and 112.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -x. Differentiate 1 - 4*w**3 + 0*w**x - 2 + 3 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*b**2*l**2 - b**2*p - 4*l**2*p**2 - 3*l**2 + 9*p**2 with respect to p.\nAnswer: -b**2 - 8*l**2*p + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.31 - -65.31. Let w = k - 64.0000376. Round w to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u - 14*u - 61 = 314 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4\/3 + 45340*s**3 + 136012*s**2 + 408028*s\/3 + 45336 = 0. Calculate s.\nAnswer: -34002, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 238003 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501 or -500?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-99)\/(-88))\/9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = r + 5295, 4*r + 8 = 4. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtgtggtgttg. Give prob of picking 1 t and 1 g.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190910 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1743\/2 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 28*l**2 + 0*l**4 + 41\/6*l**3 + 0*l + 0 + 0*l**5 + 7\/30*l**6. Find the first derivative of o(f) wrt f.\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 2*f**3 + 123 + 2*f**3 + 3*f**3 - 266 - 5*f**3.\nAnswer: -2*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8874 - 5901. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(4 - (3 - (-69)\/78)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/20 + 8\/20. Let s(h) = -7*h**3 - h**2 + h. Calculate s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, s: 5, b: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)*(-1 - 2). Let q = -0.2096 - -0.3096. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.8*851\nAnswer: -14296.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -289.52 (c) -4 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -309 + 333. Let a = l - -21. Solve -4*u + a = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 87 = -387. Let s(m) = -44*m + 5*m**2 + f*m + m**3 + 3 - 41*m. Give s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 2\/243, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 6*r**2 + 9*r.\nAnswer: -3*r*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16931069.8899974 - -16931074. Let u = b + -4.11. What is u rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)\/k*k)\/k**(1\/3)*(k**(-1))**(3\/11))\/(k**(-2\/19)\/k**(-4))**(-4\/3) assuming k is positive.\nAnswer: k**(995\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 + -167. Suppose j*g = 5*g + 4. Which is the nearest to -1? (a) 1 (b) 3\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*x - 10, t + 3*x - 4 = 4*x. What is the second derivative of 7*v + 7*v**t - 3 - 10*v**2 - 8*v + 5 + 7*v**3 wrt v?\nAnswer: 42*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**2 - 459*z + 157. Give j(-77).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, p: 3, x: 1, y: 4}. What is prob of picking 2 i and 1 y?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*c + 115, -50*s + 49*s + 23 = -5*c for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/r**(-17\/3)*r*r))*r\/((r*r**11)\/r))**(-37) assuming r is positive.\nAnswer: r**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 4*v - 4*v + 43492395*v**2.\nAnswer: 43492395*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 30 = -2*m, -u - m = -4*u + 55. Let g be (-3 - (-105)\/u) + -2. Do 1 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 2, -3, -10, -19, -30?\n\"Answer: -y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6300 and 140?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18.2, -1878\/5, -2\/9, -3?\nAnswer: -1878\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7804*y**3 + 2644*y**3 + 0*y + 0*y.\nAnswer: 10448*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 t, and 1 i when three letters picked without replacement from ttiimdizdi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*t + 25 = 0, -3*t - 5 - 10 = 0. Calculate the remainder when -16 + 85 - (n - -1) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a + 1. Suppose -13*r - 72 = -19*r. Calculate the least common multiple of (a - (-3 + 2)) + 27 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18755 and 1570.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 68 = -82 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.8 in 0.09, 5, 0.03, -1, 130?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 0 (c) -2\/7 (d) -2\/199 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183837037 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -2*b + 0*b**6 + 0*b**3 - 5\/56*b**8 + 0*b**5 + 5\/6*b**4 + 0*b**2 + 0*b**7 + 0. Find the third derivative of x(u) wrt u.\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1918, 3828, 5732, 7630?\nAnswer: 9522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 2. Let y(t) = -4*t**2 - t + 5. Suppose 0 = 2*k - 16 - 4. Let v(w) = k*b(w) + 4*y(w). Factor v(n).\nAnswer: 4*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:02 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 747170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16458397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1096776.799966 + 1096818.8. Let j = 35 - 77. Let k = j + v. What is k rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-12))\/(2\/(-186)). Let a(x) = x**3 + 4*x**2 + 4*x + 4. Let r be a(-4). Let g = r + j. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 + 359. Let f = 173 - u. Sort -4, f, -5.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 30.6123235659?\nAnswer: 30.4123235659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106.05 + -106. Let j = -0.1 - 0.4. Let o = j + -2.5. What is the third biggest value in o, v, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479400906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 - 95. Solve d*w = -3*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1155 by 3.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181*a + 0*a - 1 - 77*a)*(0 + 0 - 3*a).\nAnswer: -312*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + -2*(sqrt(320) + (sqrt(320) - (sqrt(320) + 0 + sqrt(320))) + 4 + sqrt(320)*-1 + -2)*4*2))**2.\nAnswer: -7680*sqrt(5) + 82820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/6 + n**5\/60 - n**3\/6 - 2*n**2. Let c be 18\/15 - 4\/20. List the prime factors of z(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000888370774 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3986 divided by -6727\nAnswer: -3986\/6727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 15, -643*h = -4*m - 638*h - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2242 (base 9) to base 6\nAnswer: -11402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*p**2 - 5*p**2 - 5*p**2 - 2 + 9*p**2 to the form o*p**2 + q + y*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*r + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1673662*o**3*y + 4*o**2*y + 50*o**2 - 2*o*y - 76*y + 2 wrt o?\nAnswer: 10041972*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1308 and 186717?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155556667.\nAnswer: 7, 19, 29, 31, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*v - 42, -344*w = -339*w - 2*v - 74 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 133. Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -36, -0.7, 3\/7, 2, 2\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*y + 4 - 4 - 2*y.\nAnswer: -496*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 5. Let u(x) be the first derivative of 5*x**2\/2 - 14*x + 2. Let v = 3 - 7. Let q(o) = 22*o + 275. Let m be q(-12). Calculate m*f(d) + v*u(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 5*l - 6. Let d be b(-6). Let m = d - 69. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11069+4639366\nAnswer: 4628297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 14 (c) 2\/9 (d) -3 (e) 43 (f) 376\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26630571*l**4 + 120153*l**2 + 6*l + 5.\nAnswer: 639133704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w**2 + 11*w + 43. Let g(t) = 5*t**2 + 5*t + 21. Let y(f) = 6*d(f) - 13*g(f). Determine y(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -401287.2601 to the nearest 100.\nAnswer: -401300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -12. Let m = l + -169. Is -3 - m - (1 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18941361.9 rounded to the nearest 1000?\nAnswer: -18941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 2595502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/72, 4\/3, 4, -7 in decreasing order.\nAnswer: 4, 4\/3, 1\/72, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -33 (b) 5 (c) 4\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001081 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930957 rounded to the nearest 10000?\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*o - 34*o - 39*o + (1 + 2 - 4)*(-3*o + 3*o - 2*o) - 1 + 1 + o to x*o + b and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127 or -1650\/13?\nAnswer: -1650\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1374*j**2 + j + 2. What is the hundreds digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + 0.15. Let j = q - 0.99. What is the third smallest value in j, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -271 + 319. Let l be (0 + 34)*1\/(-2). Let p = x + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.038 (c) 50\/13 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 687 + 461. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 at least as big as 220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15191, 15192, 15193?\nAnswer: 15194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:55 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + -179270?\nAnswer: -179270.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -306 - -400. Let i = 955 + d. What are the prime factors of i?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -411028*n*t**3*x + 2629*n*t**2 + 6*n - 2*t**3*x**2 - 5*t**2*x**2 wrt t?\nAnswer: -2466168*n*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171652 + -25679. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 2\/397 (c) -3 (d) -0.2 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7871.292l to millilitres.\nAnswer: 7871292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*r - 31*r - 35 + 155 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 + 226*c + 20. Determine v(19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 - 64764519*g**2\/2 + 174768471245352*g - 174768438863094.\nAnswer: 3*(g - 10794086)**2*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*x - 342*x - 4*f = 16, 4*x - 24 = f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9328116, -18656235, -27984352, -37312467, -46640580, -55968691, -65296800?\nAnswer: -74624907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -409, -4, 53\/5, 0.1?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p + 2. Let y be a(-1). Suppose 4*r = -y*r + 3960. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -204 - 5. Suppose y - b = -2*y + 11, 0 = 5*y - b - g. Solve 2*k = -2*n - 0*k + 2, y*n + 3*k - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -855982, -856015, -856064, -856135, -856234, -856367, -856540, -856759?\n\"Answer: -h**3 - 2*h**2 - 20*h - 855959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.01, -5, 1\/3, -454103?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/9 and -23\/2373.\nAnswer: 7119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 23. Let w = -476 - -469. Calculate f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*y + 50*y + 39*y to the form s + z*y and give z.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 36 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 65. Which is greater: 1\/42 or z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/1*(-3364)\/10933\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + r + 7 = 0, 2*r = -i + 2*i + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.1. Let x = d + -1.73. Let b = -1.2 + x. What is the nearest to 1\/2 in 6, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 6, g: 3, d: 2, s: 3}. Give prob of sequence dgg.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 3\/20*s**5 - 1\/2*s**4 + 1\/3*s**3 + 0 - s**2 - 9*s. What is the tens digit of u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3061579 is divided by 191337?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.99 (b) -0.1 (c) 279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 51 = -0*u. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 169*y**2\/9 + 26*y\/3 + 1 = 0.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4293, -8586, -12879?\nAnswer: -17172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 17946\/85561 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 2. Let b(s) = -5*s + 4. Let j(l) = -l. Let o(w) = -b(w) + 4*j(w). Let a(d) be the first derivative of o(d). Determine -3*a(g) + 2*x(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968211 by -49.\nAnswer: 968211\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 871607667 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 3022 - 26*l + 2996 - 4*l**2. Let u be o(14). Factor -5\/2*w - 25\/4 - 1\/4*w**u.\nAnswer: -(w + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1754\/7 + -251. What is the closest to 1 in h, 0.4, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d - 41. Let w be k(8). Let c be (w\/(0 - -1))\/(-16 - -15). Is c less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 = 3*p, -4*p - p + 25 = 0. Suppose 15 = 4*m - 5*q, 2*m + 4*q + 15 = -q. Put -4, m, s in increasing order.\nAnswer: -4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + -2 + 5*(3 + sqrt(1700)) + 1)*5)**2.\nAnswer: 30000*sqrt(17) + 1066100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*u + 2419337*j**2 + 2596967*j*u - j wrt j?\nAnswer: -4*u + 4838674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 - 2726 = -53*f. Sort -1, 2, f in increasing order.\nAnswer: -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from vpkbpbkptjbv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqkqqqqk. What is prob of picking 1 k and 2 q?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -4. Let m = w + 8. Let n = -45 + 50. What is the second biggest value in n, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027.616 centuries in decades?\nAnswer: 20276.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1398245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 21, 35, 55?\n\"Answer: 3*t**2 - t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160274548*j**2 + 177969839*j.\nAnswer: 320549096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose -6 = -0*j + s*j. Let g(a) = -11*a**2 - 6*a + 1. Let u(r) = -5*r**2 - 3*r. Let i(w) = 4*g(w) - 9*u(w). What is i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 7*f**3\/3 - 5*f**2\/2 + 5. Let h be (-1 + 3)\/(-2) - -5. Let r(t) = 6*t**2 - 4*t. Determine h*g(u) - 5*r(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-26)*16*4. Is k at least as big as 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-70)*1\/10*1.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11275 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-44)\/55)\/((-4)\/(-290)). Let d = -36 - i. Calculate the remainder when d is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2678*p - 2670*p + 5352*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 - 28*o**2 - 162*o - 9. Determine d(-8).\nAnswer: 1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**3 - 2*q**2 + q - 1. Is b(4) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u = -47*u + 108. What is the remainder when u is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6626 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 11*q + 23 = 0, 4*g + 6*q - 72 = 2*g + g - 54 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -586, -589, -592?\n\"Answer: -3*j - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 48.5. What is the biggest value in -4\/7, l, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 3. Let p(s) = 5*s - 4. Let a(u) = -3*p(u) - 4*v(u). Let g be a(2). Is ((-484)\/(-55))\/(g\/5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {b: 2, z: 1, n: 1, l: 1, p: 2, t: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18042247*m - 9021127*m - 9021152*m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -12. Suppose -4*x + 21 = -5*t - 16, 2*x = -r*t - 9. Suppose -x*o = -7*o + 652. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.516 - -1.5\nAnswer: 0.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 17. Suppose 4*i - 75 = -l*v + i, v - 21 = -3*i. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 - 0.89. Are f and 0.09 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77326 is divided by 667.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lej when three letters picked without replacement from {l: 3, j: 1, e: 4, f: 6, n: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27109 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:35 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281 + 281.03875. What is x rounded to three decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 285 - 1985\/7. Find b, given that 0 - n*b - 2\/7*b**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66 - 13*f + 1\/3*f**3 - 32\/3*f**2.\nAnswer: (f - 33)*(f - 2)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*m + 861, 2*m + 2*m + 523 = -3*k. Let s be 7299\/42 + 2\/(-4). Let g = k + s. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -228451\/3 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose 0 = -3*k - f*k + 75. Suppose 2*q - x - 214 = 0, q - 5*x = -0*x + 125. What is the greatest common divisor of q and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 5 + 4)*(w + 5*w - 3*w) + 3 - 3 + w)*(w + 2*w - w) as p + g*w + z*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*s + 2, 5*s - 318 + 352 = 2*j. Solve -5*n - 5 = j*g + 4, g - n = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168726.689 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*k**2 - 630\/11 + 628\/11*k.\nAnswer: 2*(k - 1)*(k + 315)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 170 + 154. Let o be 50\/(-210)*c\/(-30). Factor 0 + 8\/7*j**2 + o*j - 10\/7*j**3.\nAnswer: -2*j*(j - 1)*(5*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otf when three letters picked without replacement from {t: 1, f: 1, o: 1, l: 1, z: 1, s: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5 = 0, -3*t - 2*r - 704 + 720 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2792*g**2*p + 27385*g**2 - g*p - 157341402*p - 1 wrt g?\nAnswer: -5584*p + 54770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to -0.7711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*m**2 - 3251*m\/2 + 185.\nAnswer: -(m + 74)*(44*m - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147495283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1025005 - 124?\nAnswer: -1025133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18 - 10*n**2 + 18 + 22*n**2 - 16*n wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*a + 3*v, -10 = -2*a + 4*v - 7*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -36. Let p = -337 - -345. What is the lowest common multiple of i and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*g - 3*g + g)*(3*g - 2*g + g) - 6*g**2 - 4*g**2 + 2*g**2)*(-57 + 18 + 279)*(4*g - 3*g - 3*g) in the form u*g**3 + x*g**2 + j + i*g and give u.\nAnswer: 2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 252139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5108978 is divided by 5108976.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16*m - 77 = -17*m, -a - 2*m + 1 = 0. Let s(g) = g**3 + 10*g**2 - 11*g + 5. Let x be s(-8). What is the highest common divisor of a and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17981\/3630 - 2\/1815. What is the common denominator of -1 + -1*(-13)\/(-2) and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 75?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4083969 to the nearest integer?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32173050527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w + 5*w)*(15*w + 24*w - 13*w).\nAnswer: 260*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*b**2 - 392*b**2 + 75*b**3 + 196*b**2 - 38*b**3 - 17*b**3 - 21*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let s(i) be the third derivative of i**2 + 0*i**3 + 0 + 0*i + 1\/24*i**4. Give m(s(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/89 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2128, 2147, 2166, 2185, 2204, 2223?\nAnswer: 2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.0174 - 0.0174. Let z = -0.2 + 0. Let d = z + -0.8. Is d less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -37. Let v = -17 - n. Put 1, 0.5, v in increasing order.\nAnswer: v, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, v: 1, y: 1, f: 1, w: 1, u: 1}. What is prob of sequence fwv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1590 and 1788?\nAnswer: 473820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 41*c - 127. Give f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*s + 172 = 196, 270 = 45*o + 5*s for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m**3 + 3*m**4 - 13*m**3)*(-1 + 1 - 2 - 2*m).\nAnswer: -6*m**5 - 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30592 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/123 and 7\/204.\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 75.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*v + 427520 + 81*v**3 - 427518 + 278*v + 72*v**3.\nAnswer: 153*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -69*b**2 + b - 1. Calculate s(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11039 + -11035. Suppose 2*h = -h + 15. Solve -h*r = 2*m - m - 13, 0 = 4*r + 4*m - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 24*k + 46*k + 15*k to d*k + q and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1210 or 1208?\nAnswer: 1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 6*r + 2. Let t(f) = -2*f**2 + 4*f + 2. Let b(c) = 2*q(c) - 3*t(c). Suppose 2 - 2 = -40*s. What is b(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 26 - 44 = 0. Let p = 120 + f. Let n = p + -29. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:11 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6019 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 5*f**3 - 238 + 858 - 4*f**3 + f**2 as w*f**3 + t*f**2 + d + q*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 7*g**2 + 7. Let i be x(-7). Suppose 0 = -5*m + 4*a + 28, 3*m - 7*a - 22 = -2*a. Solve 23 = m*n + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4471*o - 557. What is the hundreds digit of q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7144620)\/(-1120) - (-1)\/(-8) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*z + 85 - 8. What is the closest to -1\/7 in z, 0, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5 - 9 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12086 smaller than 52\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*z**2 + 8*z - 15*z**2 + 12*z - 12*z + 494 with respect to z.\nAnswer: -46*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7282 and 3052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 2057*c**2 + 82334*c + 186719. What is q(-1067)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471227640 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3247913 - 2*u**3 + 3247913.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111001000100010101 (base 2) in base 16?\nAnswer: -179115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.03 + 8. Let s = -0.27 + m. Let t = -81.7 - -82. Which is the biggest value? (a) t (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3\/4, 5, 15\/119 in decreasing order.\nAnswer: 5, 15\/119, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 73188.36 milligrams?\nAnswer: 73188360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b + 153 - 273 + 120.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + 2)*2 - sqrt(19)) + sqrt(171)*-1)**2.\nAnswer: -16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302 - 303. Let r be (0 + (-18)\/12)\/(j\/(-2)). Let w(z) = z**2 + 4. Give w(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 11*y**2 + 10*y + 3. Let t be s(-10). Let a(z) = -1 + z**3 + t + 20*z**2 - 16*z**2. Let x be a(-4). Solve w = -x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*j = -44 - 115, 2*n - 66 = -2*j. Calculate the remainder when n is divided by (-155)\/(-10) + (-1)\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.84 - 0.83999669. Round v to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 55930*r**3 - 156799265*r**2 + 2186974860*r - 7644832020.\nAnswer: -5*(r - 5586)**2*(r - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22.701*-3\nAnswer: -68.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppyypy. Give prob of picking 4 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5988887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9269 and 44837.\nAnswer: 31968781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**4 - 16*s**3\/3 - 11*s**2\/2 - 16*s + 5993. Let j(h) = h**3 + 3*h**2 + 2*h + 3. What is -11*j(b) - 2*n(b)?\nAnswer: -3*b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -22\/21 (c) 4\/7 (d) 2\/355\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 14) to base 10\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -280, -896, -2182, -4474, -8108, -13420?\n\"Answer: -56*g**3 + g**2 - 227*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 51*y**2 + 5 + 106*y**2 + 22*y**2.\nAnswer: 179*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 + 74*m**3 - 1079*m**2\/3 - 434*m.\nAnswer: -m*(m - 217)*(m - 6)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 7. Let z = 11 - 9. What is the third smallest value in a, 0.1, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2532, 1664, 216, -1812, -4420?\n\"Answer: -290*y**2 + 2*y + 2820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1745*w = 1743*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2329*a**2. Let g(i) be the third derivative of i**4\/24 + 52*i**2 - 6*i. Determine g(m(s)).\nAnswer: 2329*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 831*c + 739*c**4 - 61454*c**2 + 61454*c**2 wrt c.\nAnswer: 8868*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39708508 and -0.6.\nAnswer: 39708507.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 0.081 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - 1*sqrt(250))\/sqrt(5) + 5)**2 - (sqrt(4) - sqrt(8)\/(sqrt(8)\/sqrt(4)))\/(4*sqrt(2)*1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 1, p: 1, f: 1, a: 1}. What is prob of picking 1 f, 1 p, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8*t**2 - 10*t**2 + 3)*(-2*t + 3*t + 2*t).\nAnswer: -6*t**3 + 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-1)\/(-104 + (-593978)\/(-5719))?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 - l - 1. Let g(b) = b**3 - b**2 + b. Let r be ((-4)\/(-4) - 2)\/1. Let i = -2 - -2. Suppose -j + i*j + 1 = 0. What is j*p(v) + r*g(v)?\nAnswer: -2*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.476043ml to litres.\nAnswer: 0.000476043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjaaajj. Give prob of sequence atj.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*r + 356, -2*r + 260 = -2*p - p. Let g = -124 - p. Let f = -40 - g. Solve 3*a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2412*d**3*q**3 - 6*d**3*q + 6*q**3 - 2695*q wrt q?\nAnswer: -14472*d**3*q + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9821 is divided by 1205.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-1)*p))**(1\/3)*(p\/(p\/(p**(-1)\/p)))**(14\/3)*(p\/(p**(-1\/2)*p)*(p**(1\/7)*p)\/p)\/(p**(-1\/6)*(p*p\/(p**(-2\/9)\/p))\/p) assuming p is positive.\nAnswer: p**(-719\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9876*w**3 - 415*w**2 + 1385*w - 18?\nAnswer: 59256*w - 830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 3 - 3*g**2 + 4*g**3 - 2*g**3 in the form l*g**3 + x*g**2 + c*g + j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 - 45*n - 10. Let v(b) = -7*b**2 - 45*b - 8. What is -5*v(k) + 4*x(k)?\nAnswer: -k**2 + 45*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*v**5 - 2*v**2 + 2*v**2 + ((-1 + 3*v**3 + 1)*(3*v - 1 + 1) + 4*v**4 + 4*v**4 - 6*v**4)*(-v + 4*v + v).\nAnswer: -41*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 5) to base 15.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + d = 72. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -22. Let c be ((-14)\/t)\/(-1 - 0). Let k(z) = 10*z**2 - 20*z**2 + c*z**2. Let m(s) = -7*s. What is k(m(o))?\nAnswer: -147*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-6)*(-1 + 4). Let r be (-1)\/(-2) - 25\/c. Let l(p) = 2*p + 1. Let k be l(r). Solve -2*o = -1 + k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 2\/7, -125864, -0.2.\nAnswer: -125864, -0.5, -0.2, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.884551985 to 3 dps.\nAnswer: -1.885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 6*s**2 - 2. Suppose 4*d = 18 - 2. Suppose t - d = 2. Calculate l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*g**2 + 1 - 2*g**2)*(1 - g - 1)*(-g - 2*g**2 + g).\nAnswer: -10*g**5 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 186*y**3 + 2*y**2 - 75*y + 380. What are the prime factors of i(5)?\nAnswer: 5, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = -10. Suppose 0 = -2*u - 8, i*j - 3*u = 2*u + 28. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200221011100 (base 3) to base 7.\nAnswer: -10453536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**2 - 3*c - 16*c + 2*c - 2*c**2 + 3*c**2 - 3*c**2 + (c + c - 4*c)*(2*c - 3*c + 2*c) - 3*c**2 - 3*c**2 + 5*c**2.\nAnswer: c**2 - 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 1\/360*b**5 + 0*b + 1\/72*b**4 - 1\/12*b**3 + 0 - 24*b**2. Solve k(w) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27942528697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {h: 1, o: 4, q: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*q + 32*q - 6*q as v + k*q and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, 81, 4029 in descending order.\nAnswer: 4029, 140, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2074 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-9)\/g))\/g)\/g*g\/(g\/((g*g*g\/g**(24\/13))\/g))*g*g*g**(2\/11)*g*g**39)**(2\/7) assuming g is positive.\nAnswer: g**(14396\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 79. Determine h, given that -17*h**2 + 6*h - 10*h**2 + 15*h**3 + 15*h**p = 0.\nAnswer: 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*t + 27 = -217 + 1 - 463 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2288, 4712, 7332, 10202, 13376?\n\"Answer: 9*p**3 + 44*p**2 + 2229*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16578*j + 448 = 16606*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 1. Let g be a(2). Suppose 0 = -4*z + y + 54 + 3, -y - 44 = -g*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2583*q**2 - 84*q - 84. Let b(p) = 152*p**2 - 5*p - 5. Calculate 84*b(h) - 5*v(h).\nAnswer: -147*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*(-r + r - 5*r + (0 + 2 + 0)*(2 - 2 - r) + 4*r - 3*r - 2*r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 4*n + 5*n**2)*(-61 + 294 + 1182) in the form c*n + o*n**2 + h and give o.\nAnswer: 7075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 7. Let p be (-31)\/(-6) - n\/(-18). Factor 0*c + 1\/5*c**p + 1\/5*c**4 + 0 - 1\/5*c**2 - 1\/5*c**3.\nAnswer: c**2*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-29)\/58)\/((-2)\/1048)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 2133.\nAnswer: 6399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.782829 decades?\nAnswer: 57.82829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*u = -3, -5*j + 11*u - 7*u - 5 = 0. Let k(c) = -c**3 - c**2 - 1. Let a(y) = -3*y**3 + 3. What is j*a(z) - 2*k(z)?\nAnswer: 5*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 388\/(-3)*((-54)\/4)\/9. Let h be a\/((3 - 8)\/(-35)). Let q = h - -1044. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 94329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2 - 6*z - 23. Let f(v) = v**2 - v. Determine 6*f(d) - k(d).\nAnswer: -d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -0*w + 3*g - 0*g + 3, 2*w + g = 21 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 z when three letters picked without replacement from {b: 8, o: 2, z: 3, i: 2}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 60 - 3*h - 50 as q + i*h and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 21*m - 66. Let r be q(17). Let y(d) = -5*d - 16*d**r + 4 + 38*d**2 - 17*d**2 - 6*d**2. Determine y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, p: 5}. What is prob of sequence pdpd?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/90 and -87\/1090?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22632, -22628, -22620, -22608, -22592?\nAnswer: -22572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 428 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/(-280)*5\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**3*t**2 + i**3*t - 5203*i**3 + 3*i**2*t**2 - 813*i*t**2 + 41*t**2 wrt i?\nAnswer: -24*t**2 + 6*t - 31218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(34)\/sqrt(242) + (5 + sqrt(153))**2).\nAnswer: 331*sqrt(17)\/11 + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 4*p + 1. What is m(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*l - 8204, 2*k + 3870 = 5*l - 16664. Is l a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1508, -3083, -4730, -6449, -8240, -10103?\nAnswer: -12038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 525775*u*z**3 + 6192*u*z**2 - u*z + 713*z**4 - z**2 - 723*z wrt z?\nAnswer: 3154650*u + 17112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1021*b - 503*b - 512*b to the form c*b + g and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 298?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 26. Suppose -f - 6 + 4 = -2*v, 3*f - g*v = -21. Let s = 11 + f. Let i(h) = -16*h**2 + 1. Give i(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-975)\/30*(-23)\/575*80.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/132 and -5\/336.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491555.\nAnswer: 5, 11, 89, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 7*t**5\/20 + 5*t**2. Let o(y) = -y**2. Determine m(n) + 18*o(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 6. Suppose 5*s + c = 4 + 7, 0 = -3*s - 5*c + 11. Let v be m(s). Let w = 37 + v. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*p**2)*(-7*p - 4*p + p)*(-44 + 23 - 78) in the form m + z*p + l*p**3 + j*p**2 and give l.\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19160925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 - 16*y**2\/11 + 6*y\/11 + 180\/11.\nAnswer: -2*(y - 3)*(y + 5)*(y + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*w - 1 = 7, 1 = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 3, g: 6, u: 8}. What is prob of picking 1 e, 1 n, and 1 u?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 6\/(-4))*0\/4. Suppose m = y - 0 - 3. Solve g - 15 = 4*g - y*p, 4*p = -5*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 - 4*r - 11. Let l be t(-5). Which is greater: 10 or l?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 13. Let g be s(-8). Let p be g\/(-4)*(-18)\/27. Is 1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.13 + 0.17. Let w = 0.3 - b. Which is smaller: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.771818 decades in years?\nAnswer: 77.71818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24466 - -24468.0055. What is c rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -47*b**7\/30 + b**6\/40 + 1791*b**4\/8 - 487*b**2 - 7*b. Find the second derivative of p(o) wrt o.\nAnswer: -3948*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -142, -561, -1378, -2725, -4734, -7537?\nAnswer: -11266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/3, 5, -7, 507 in ascending order.\nAnswer: -7, -11\/3, 5, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 15. Let u be s(0). Suppose 2 = n + 18. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 20. Which is the third smallest value? (a) -0.1 (b) j (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/20577 and -28\/29241.\nAnswer: 555579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let s(q) = 2347 - 358*q**2 - 4702 + 2355. Give s(p(m)).\nAnswer: -1432*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266876 is divided by 88916?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152088 = -80*h + 24*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -369*x**2 - 154*x + 11. Let c(h) = 184*h**2 + 76*h - 6. Let n(v) = -11*c(v) - 6*p(v). What is the second derivative of n(k) wrt k?\nAnswer: 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.61? (a) -27 (b) 0.4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 284139 divided by 1179\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -595065736 divided by -1219397\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g + 66. Let p(z) = -6*z + 31. Let u(f) = 7*p(f) - 3*v(f). Let a be u(4). Let k be (-24)\/(-14) + (-4)\/(-14). Solve k*w + 10 = a*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/11 less than -108\/1313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 11*t**2 - 11*t + 4. Suppose -n + 5*x + 50 = n, -x + 38 = 2*n. Suppose n = 4*z - 16. Is k(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**3 + 13*q**2 - q - 3. Let p(f) = -f**2 + f + 1. Suppose 5 + 1 = 2*o. Let z(u) = o*p(u) + l(u). Find b, given that z(b) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7197388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814, 1628, 2442?\nAnswer: 3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 333902837539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 103*h**3\/3 - h**2\/2 - 61*h + 134. Find the second derivative of j(u) wrt u.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 4085398.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvlvlvdvv. What is prob of sequence lvd?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2178 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-13)\/j**(-2\/5) assuming j is positive.\nAnswer: j**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (10 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27841*t + 96 = 27849*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = f + 2*g, 2*f - 3*g - 18 = 0. Suppose -f*i - 48 = -4*i. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(245))**2 + -3.\nAnswer: -14*sqrt(5) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -478 in -1.8, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, w: 11}. Give prob of sequence bbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -7691 and -7690 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38212 and 274940?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 41 = 4*r, -8*d + 21*r = 16*r + 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*z - 104733 - 7425 - 17202 = 0. What is the least common multiple of z and 168?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -1, 233, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3894*n**3 - 9613*n**3 + 3495*n**3.\nAnswer: -2224*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 47*v - 8*v.\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + g + 112 = 136, 2*x - 2*g - 2 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 31, 8, -10, 4, -20, 5 in descending order.\nAnswer: 31, 8, 5, 4, -3, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.3 - 8.3. Put -3, i, 1, 2\/5 in descending order.\nAnswer: 1, 2\/5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -23*b + 3. Let t(g) = -25*g + 4. Determine -3*t(w) + 4*v(w).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 211*l**2 - 7746*l - 45814. What is z(-166)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 392 + 52)*(-34*s - 7*s - 12*s).\nAnswer: -26182*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154430426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 25*c = -d + 18, -1401*c = -5*d - 1403*c + 34 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1717 + 1777 - (111 - 1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 954596\/9 - 106270. Let p = -204 - z. Sort 7, p, -2, 1\/4 in increasing order.\nAnswer: -2, p, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 16. Let s(a) = 13*a - 48. Let l(y) = 11*j(y) - 4*s(y). Let d be l(7). Let m be (d\/12)\/((-2)\/3). Solve m*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27704 - 193930\/7. Let q = 0.09 + 4.91. What is the smallest value in 3, k, 16, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.908973 grams?\nAnswer: 8908973000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 5, -23, -81, -175, -311, -495, -733?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1143 and 253330710.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -5\/3 (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -127904 and 0?\nAnswer: 127904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 772 divide 78793178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-27)*(1 + (-664)\/16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-174))\/(130\/(-1248)*-8).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) -3 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-7)\/420*-5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 357*s - 355*s + 18100 = 0, 0 = 3*v + s - 54286. What are the prime factors of v?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 11011211?\nAnswer: 11011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 9. Calculate h(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*r**3 - 15*i**2*r**2 + 4*i + 96*r**3 - 3 wrt i.\nAnswer: -4*i*r**3 - 30*i*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -113, 0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.98201 + -0.01799. What is the second biggest value in 1, m, 2, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.071 + 1.929. Let a = j + -1.7616. Let t = a + -0.26. Round t to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q**3 - 400*q - 2. Let i(l) = -10*l**3 + 400*l + 2. Determine -5*i(p) - 4*y(p).\nAnswer: 2*p**3 - 400*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4488\/33*192\/(-1632)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 509171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r + 69. Let o be h(10). Suppose -k + o = -0*k. What are the prime factors of k?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4450*m + 4*m**2 - 177*m**2 + 171*m**2 as u*m**2 + x*m + o and give x.\nAnswer: -4450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/36 - 163\/652\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - w. Let g(p) = 347*p**2 + 11*p + 71. Let m(y) = g(y) + 8*q(y). Find the second derivative of m(h) wrt h.\nAnswer: 662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -16\/77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s + 7. Calculate the remainder when w(5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**8\/10080 - h**7\/1260 + h**6\/360 - h**5\/60 + h**2. Let s(r) be the third derivative of j(r). Factor s(l).\nAnswer: 2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2148357 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u - 6\/5 - 3\/5*u**3 - 12\/5*u**2.\nAnswer: -3*(u + 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21318 is divided by 21278.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - q**2 + q**2 + (-2*q - 4*q + 4*q)*(-2337 + 132*q + 2337).\nAnswer: -265*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 - -132. Let w = -775\/9 - b. Suppose -s - 2*y = -7*y - 25, -2*s + y + 5 = 0. Is w >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14874.\nAnswer: 2, 3, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Calculate 4940 divided by 52.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 259047357 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**10\/1260 - d**6\/120 + d**3 + 2. Let h(a) be the third derivative of n(a). Find the third derivative of h(f) wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*4 - sqrt(180))\/sqrt(10).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1885749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -74. Let t(n) = 4*n + 13. Let h(s) be the third derivative of -s**4\/24 + s**3\/6 + s**2. Let u(f) = w*h(f) + t(f). Differentiate u(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l - 44. Let j be f(7). Let i = 130 + j. Suppose 8 = 13*r - i. Solve 4*g - 18 - 2 = r*z, 0 = -4*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2703 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132110122 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (2 + -13 + 3 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*1320.2679\nAnswer: 303.661617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 + -6)\/((-2)\/(-10)). Let q = y + 31. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:37 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035982 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 - 2*m - 2. Suppose r + 3*y = 9, -2*r + 17 = r + 4*y. Let d be x(r). Is 2 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-3)\/(-3))\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358866 is divided by 179420?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 256. What is y(-20)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 41*g**4\/12 + 10*g**3 - 41*g**2. Find the first derivative of w(p) wrt p.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134\/3 + -45. Let f = 19 - 13. Let s = f - 6.029. Is s >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 17. Let c(o) = -3*o + 8. Let m(i) = -2*i - 4. Let p be m(-4). Let f(q) = p*d(q) - 7*c(q). Let b be f(-9). Is 4 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - 98?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5518*o**2*p**2 - 2*o**2*p - 9973*o**2 + 4*p**3 - p wrt p?\nAnswer: 11036*o**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 47\/789 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6536826 (base 9) to base 14.\nAnswer: 67491a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430 - -430. Let w be (-13)\/(-20) + h + 64\/(-160). Put w, -31, -3\/5 in ascending order.\nAnswer: -31, -3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/7 + 515894*k\/7 - 54662292\/7 = 0. Calculate k.\nAnswer: 106, 257841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-117)\/18*(3 + (-258)\/78). Suppose 2*z + 3*z - 30 = 0. Let l = -9 + z. Put 0, v, -1, l in descending order.\nAnswer: v, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 546032 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -165 - 7\/(938\/(-17688))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 49, 71, 101, 139, 185, 239?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 7*r**2 - 5*r - 8. Suppose -h = 2*d - 60, 130 = 3*h + 3*d - 47. Suppose s = 2 + h. Calculate the remainder when s is divided by g(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5011, -10019, -15029, -20041?\nAnswer: -25055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9606841 weeks?\nAnswer: 581021743680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, c: 7, o: 2, y: 3, s: 3, z: 1}. What is prob of picking 2 y, 1 c, and 1 o?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 7780 - 54 = -q, c - 31357 = -4*q. Is q a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 + 140 = 2*u - 4*z, -20 = 4*u + 4*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 19574.659\nAnswer: -9787.3295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 241*q + 122*q + 9 to b + o*q and give o.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 10 = -17*w. Suppose u + 3*u = -w*j - 2032, 0 = j + u + 1014. What is the remainder when 50 is divided by -1*((-4)\/(-10) - j\/(-55))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 20. What is the tens digit of k(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**2 + 16*l. Suppose -5*k + 10 + 0 = 0. Suppose 0 = -4*g - 0*g + 8. Let p(z) = 22*z**g - 19*z**2 - z + 0*z - 4*z. Give k*s(f) + 7*p(f).\nAnswer: f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93*s**4 - 111 wrt s?\nAnswer: -372*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345 + -681. Let i = -347 - h. Let g(l) = 10*l**2 - 11. Let a(t) = 3*t**2 - 4. Give i*a(w) + 4*g(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-24 + 15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 27411\/(-21) - (-2)\/(-7). Let d = 3414 - o. Let t = 2982 - d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 299 - (0 - (2 + -3)). Suppose -46 = 4*n - i. What is the highest common divisor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*a - 105 = -4*f, 5*f - 178 = 2*a. Suppose -2*u = -4*u + f. What is the greatest common factor of 24 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896 is divided by 85.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -236\/875 + -2\/125. Let t(l) = -2*l**2 - 6*l + 2. Let s be t(-7). Let k be 3\/s - (-8)\/36. Which is the third biggest value? (a) k (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 15*m**2 - m - 21. Let p be (-8)\/(64\/60)*2. Let c be n(p). Let v(j) = -8*j - 14. Is v(c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038 times 0.9?\nAnswer: 0.00342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -7. Suppose r = -3*r - 5*y + 7, -5*r + 5*y = -w. Let i(l) = -2*l. Let z be i(-1). Solve -z*d + f - 4 = 0, 0*d - d - r = -2*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5585 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5220 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -22172 less than -22194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 163 (base 16) to base 10\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 239, 2, -3, 32, -5 in ascending order.\nAnswer: -10, -5, -3, 2, 32, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/((-51)\/2248)*3\/(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/107019 and -86\/184851.\nAnswer: 2033361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -681369, -681376, -681381, -681384?\n\"Answer: f**2 - 10*f - 681360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*h - 6 + 21, -3*b + 4*h = -15. Is (1 - (-16386 + b)) + -5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 53. Suppose x - 17 = -a, 0*a + x = 5*a - 55. Solve -4 = g*t - a*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14915.6 - 15055.021. What is x rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 51.5. Let z = b + -5.5. What is the smallest value in z, -0.1, 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7) + 1 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.46, -4, 1\/2 in decreasing order.\nAnswer: 1\/2, 2\/5, -0.46, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let p(n) = -n**2 - 8*n + 9. Let q(j) = p(j) + 3*y(j). Let l(t) = -3*t + 5. Determine -5*l(g) + 3*q(g).\nAnswer: -3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 14 = 4*o, -3*m + 49297 = -2*o + 49296 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - j**2 + j + 1. Let o(g) = 2*g**3 - 2*g**2 + 2*g - 1. Give o(l) - 2*x(l).\nAnswer: -2*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -280\/3 - -1406\/15. What is the closest to 1 in 3, y, -17, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92844 is divided by 121.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-4)\/(-8)*2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**11*p*p**(-4)\/p*p**(-20)*p**(-23) assuming p is positive.\nAnswer: p**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let o(b) = -370*b. Determine j(o(i)).\nAnswer: 136900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/5 - 1*-1. Suppose -5*x + 5 = 0, p*z - 2*x + x = 29. Solve -v + b = 6, 0 = 5*v + 2*b - z + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -795*o - 24514. Give u(-30).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - (4 - (-3 + -2))) - -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdddzzzdddzzzzdz. Give prob of sequence zzzz.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - b**2 + 2*b - 1. Suppose 5*l - 4*k = 1, 5*l - 2*k = -k + 4. Determine g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -347568.225+21.52\nAnswer: -347546.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -2*s - 18. Suppose 0*x + s = 4*q + 4*x, 8 = -2*q + 3*x. Suppose u + 17 = -4*m, -q*u = u + 3*m + 6. Calculate the least common multiple of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12789, -51159, -115109, -204639, -319749, -460439, -626709?\n\"Answer: -12790*u**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.562 and -277207.\nAnswer: -277218.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 3)\/(18\/63). Is (y\/(-2))\/((-24)\/336) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - (-1 - 53)) + 0 + -22\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1420128, 1420131, 1420134, 1420137, 1420140, 1420143?\nAnswer: 1420146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6487967 rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 9*k - 6. Let q be o(-8). Let s be q\/(-9) + 32\/(-18). Let f(y) be the third derivative of y**6\/120 + y**4\/12 + y**3\/2 + 11*y**2. What is f(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1605, -1607, -1611, -1617, -1625, -1635, -1647?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*-2*2)\/((((sqrt(72) + sqrt(72)*-2 - sqrt(72)) + sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(8)))\/(-2*(sqrt(245) - 1*sqrt(245) - sqrt(245))*-1).\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j - 720 + 90 = 322 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:25 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.709 + -3.809. Let m be (-12)\/15 - 3 - -4. Which is the nearest to m? (a) -0.3 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (11 + -46 + 10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1376996*k + 1376973*k + 1377004*k - 4130973*k - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686303?\nAnswer: 653, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 + 4*g**2 - 2*g + 33. Let k be b(6). Suppose -4*d - m + k + 395 = 0, 3*d + 2*m - 1073 = 0. List the prime factors of d.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -148 + (-3 - -97).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*f + 241*f + 3*v = -10, -17 + 147 = 22*f - 4*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -160.07 (b) -3 (c) -0.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 751 - 748. Calculate the least common multiple of 1 and (-2)\/c*(-3198)\/52.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1494?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 77*g**2 + 325*g + 74. Determine p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2 - 2*b + 8*b + (2 - 2 + 1)*(0*b - 2*b + b).\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 31. Suppose -2*g = g + 18. Let f = r + g. Solve -2*y - 5*k = y + 11, 4*k = -4*y - f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*n = -47, -46561*u + 46559*u - 6 = 4*n for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-92))\/((-129)\/(-71208))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 81183, 324669, 730479, 1298613, 2029071?\n\"Answer: 81162*k**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6820 and 16544?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1806605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0248633 to 4 decimal places.\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028154580 to the power of 1\/3, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*v**3 - 79*v**3 - 79*v**3 + 238*v**3.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -14631b69?\nAnswer: 14631b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293503.\nAnswer: 3, 764501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-11))\/1)\/(1410\/10340).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18979493 - -13.93.\nAnswer: 18979506.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 16*s**2. Let g(i) = -5*i**2 + 1365*i + 71. What is g(k(r))?\nAnswer: -1280*r**4 + 21840*r**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 45*s**4 + 1600*s**3 - 135*s**2 - 4680*s - 3025. Let p(g) = -5*g**4 - 178*g**3 + 15*g**2 + 520*g + 336. Let z(q) = 35*p(q) + 4*w(q). Factor z(o).\nAnswer: 5*(o - 2)*(o + 1)**2*(o + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 241 and 0.05?\nAnswer: 12.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 1, k: 3, f: 1, c: 5}. Give prob of sequence cgfg.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1 + 1.1. Which is the second smallest value? (a) -0.3 (b) 2 (c) u (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -2001260?\nAnswer: -2001255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 + 3*j**3 - 16*j**3 + 9*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7821 divided by 55?\nAnswer: -711\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(-1*(272\/34)\/312)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -494*t = 87*t + 2382 + 523 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1373 + -1417)\/((-12)\/15).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**5\/60 - k**4\/8 + k**3\/2 - 441*k**2. Let w(y) = -y**2 + 4*y - 4. Suppose 4*l - 8 = 2*l. Give l*s(d) + 3*w(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n**(2\/21)*(n\/((n\/n**(-12))\/n*n))\/n*n**(-2\/9)\/n)**(-26) assuming n is positive.\nAnswer: n**(28054\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 4*n**2 + 2*n - 8. Let h be v(4). Let y(z) = h - 6*z**2 - 1 - z**3 - 5*z - 5. Suppose -5*d - 36 = -11. Determine y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508*c + 24 = 514*c. Let q(o) = o + 1. Let z be q(4). Suppose z*i + c*d = 9*d + 595, -3*i + d = -353. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*(-332)\/996.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*l = 8. Which is the fourth smallest value? (a) -1 (b) 5 (c) l (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 2 - 31 + 14461*u + 51 + (2 - 4 + 3)*(-2*u + 2*u + u) as m + k*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -2237 and -663844456.\nAnswer: -663846693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*l = 0, -6*a + 2*l = -a + 28. Let d(g) = g**2 + 4*g + 2. Let i be d(a). Solve 2*q + 2 = -5*y + 3*q, i*y + 2*q = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, j: 5}. Give prob of picking 4 x.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9943423 to the power of 1\/2, to the nearest integer?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64884448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29.4261 and -22.7.\nAnswer: 6.7261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 + 109918*z + 659580 = 0. Calculate z.\nAnswer: -6, 54965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/((-40)\/144).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2 + 197. Let a(c) = c - 126. What is a(b(o))?\nAnswer: 2*o - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360 - 358. Solve 0 = -5*p + 3*p - i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*f + 4*b = 80*f + 95*f + 8, -f + 6*f + 3*b - 23 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41841676 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349, -47, -3 in ascending order.\nAnswer: -47, -3, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580348420 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 + 0*r**2 - 6*r**2 - 14*r**2 as x*r + c*r**2 + j and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.11, 2\/3, 1\/1990, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/258 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 314*s - 67. Is z(11) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 3*o + 7. What is c(8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 674 and 13.223.\nAnswer: 8912.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 19 = -2*j - 3*j, -5*j = 2*f + 7. Let t be 10\/f*(-1 - 2). Solve t*o - 20 = 0, 2*c + c + 5*o = 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10018932 divided by 834911.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kipekmeeqmekkkek. Give prob of picking 1 p, 2 e, and 1 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7588, -2, -46, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-45)*(144\/(-42))\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -367 and -364 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 77*d + 73*d = -8, 4 = 2*h + 2*d. Let v(a) be the second derivative of 1\/3*a**4 + 1\/2*a**3 + a**2 - a + h + 1\/10*a**5. Determine v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*f*r**4 + b*f*r**3 - 655*b*f*r**2 + 4*b*f - 13*f*r**4 + r**3 wrt r?\nAnswer: 24*b*f*r + 6*b*f - 312*f*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-8 + 9) - 25.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2\/(-8) - (-14)\/8. Suppose -5*p - 6 + 6 = 0. Suppose -3*m + 7*m - 144 = -k*g, 4*g + 8 = p. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7660 is divided by 261.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*-5*sqrt(91) + sqrt(91))*2)\/(2*sqrt(700) + ((sqrt(28)*2 - sqrt(28)) + sqrt(28))\/sqrt(4)).\nAnswer: 70*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -n - 99, -i + 33 = -0*i + 5*n. Suppose 2 = t, -2*t + i = 2*c - 4*t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Let j = -4.7 + 5. What is the third smallest value in -1\/5, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 1:44 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*p = -524*p + 11106. Let u = p - -1853. Suppose u*h + 2\/5*h**2 + 12\/5 = 0. Calculate h.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 14421\/283, 5?\nAnswer: 14421\/283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*a - a + 36, 3*d = 3*a + 54. Let c be 1848\/d + (-2)\/3. Is (c\/(-8))\/(6\/(-16)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(-1 + 3 - 3) + 1 - 5 + 3 - 141 - 44 - 174 - 15)*(-32*v + 342 - 342).\nAnswer: 12032*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (0 - 1) - -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -6. What is the nearest to v in 4\/7, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -88, 20\/9, 0.3?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 296740129614 and 4.\nAnswer: 296740129618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4370 and 26\/437.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0 - 1\/4*c**4 + 0*c**2 + 0*c**3 + 1\/5*c**5 + c. What is the third derivative of r(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 91827 = 3*x, -5*s + 37580 = -5*x + 190645. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 34363410 - 34363410.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - 5*a**2 - 2*a + 0*a**2 + 9*a**2 - 8*a + 19 - a**3. Determine p(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*z - 83*z + 26107 = 0. Let b = z - -58893. Round b to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42506*-1036.\nAnswer: -440.36216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = t, 4*y = 5*t - 20 + 57. Put t, 3, -3, 5 in decreasing order.\nAnswer: 5, 3, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-207 + 599 - 964 - 539 - 1140)*(7*p - 2*p - p).\nAnswer: -9004*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 5, 1, 0, 24 in decreasing order.\nAnswer: 24, 5, 1.7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p. Suppose -3*t = -5*u - 0*u + 86, p = -4*t - 4*u - 104. Let h = t - -29. Solve -h*z + 0 = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let v = q + 0. Let u = -5 - -7. Solve 0 = u*i + v + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 r when four letters picked without replacement from rrriiiruus?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000537556 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c + 5*p - 33 = 33*c, -2 = -3*c + 2*p. Let v(b) = b - 7. Calculate v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 6, p: 3, i: 2}. What is prob of picking 2 i, 1 q, and 1 v?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 10*s**2 + 7\/60*s**5 + 0*s**3 + 0*s + 0 + 0*s**6 - 1\/14*s**7 + 0*s**4. Find the third derivative of f(y) wrt y.\nAnswer: -360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(12\/(-6))\/(24\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 24 + 78 = 2*b, -5*l + 99 = 2*b. Let u = 60 - b. Solve -7 = m - u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15365 and -111.\nAnswer: 1705515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 0*i)*(-12 - 4 + 3)*(0 - i + 0 + (-1 + 5 - 2)*(-3*i - i + 2*i)) + 19*i**2 + 117*i - 117*i.\nAnswer: -111*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f = 0. Is f bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 10*t**2 + 13*t + 69. Let m be l(13). Is m at least -265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4499 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24248121 to the nearest integer?\nAnswer: 4924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 - -143. Suppose y + y = 3*c + 9, -4*c - z = -4*y. Suppose y*n - 1889 = d, 7*d - 4*d - 2536 = -4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -42, -88, -178, -324?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -20*a**2 + 188*a - 218. Give d(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20623816333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.77 - 39.77. Is d > -0.97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 27729117 divided by -3.\nAnswer: -9243039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 5, -10*d - 3*s + 7 = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/((-165750)\/2015) + 18\/10 - 2\/(-25)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -107902, 219 in decreasing order.\nAnswer: 219, -0.5, -107902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19671285 to the nearest integer?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 7827530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 + 15860*j + 31 - 97 - 81236*j + 34 + (5 - 3 + 0)*(-2*j + 3*j + j) - 1 + 1 + 2*j.\nAnswer: -65370*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 times 0.1?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**6\/120 + m**5\/10 + m**4\/2 - 4*m**3\/3 + 5. Let d(w) be the third derivative of c(w). Factor d(j).\nAnswer: 3*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - 0.01. Let m be -3*1\/(-4)*904\/(-3729). Which is the biggest value? (a) m (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68906.37 kilometers to nanometers.\nAnswer: 68906370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1841 (base 12) to base 4.\nAnswer: 231301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*m - 16198 = -9659 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 7*n**2 + 5*n - 3. Let m be v(-6). Suppose -1 = 2*q + m. Let a be q\/(-3) - (-4)\/3. Solve -a*g = -2*t + 8, g - 17 + 6 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.112 + -31. Let h = 0.012 - j. Let o = -3.054 + 0.054. Which is the nearest to 4? (a) h (b) -2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 - 2*p + 53. Is z(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18*(-9)\/12 + 2\/(-4). Let b(d) = d**3 - 12*d**2 - 11*d + 1. Is 5 a factor of b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 4 - 0 - 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184 + -100. Suppose -2*p - 2*p + a = 0. What is the remainder when 81 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -211*p - 23. Let g(a) = 48*a + 1. Determine -6*g(q) - m(q).\nAnswer: -77*q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 2*y - 13*y**2 + 4*y**2 + 12*y**2 + 6*y**2 + 9*y**3 as f + s*y**3 + k*y + a*y**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(456\/(-171))*-12. Suppose 66\/13*t + 46\/13*t**2 - 2\/13*t**4 + 28\/13 + 6\/13*t**y = 0. Calculate t.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 0.28 (b) 0 (c) -4791\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n**2 - 3*n + 6. Calculate the remainder when i(5) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*a**4 - 240*a**3 - 2*a + 148620 wrt a?\nAnswer: 816*a**2 - 1440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -13 - (-1 + (-1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03357121 and 1.6.\nAnswer: 0.053713936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 1. Let u be m(3). Let i be 3 + 3 + (-92)\/16. Let f = 6 - 3. Which is the nearest to -2\/3? (a) u (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j + 7*j - 24*j - 2. What is g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/30 - k**2. Suppose -12 = -5*m + 13. Let s(c) = -5 - c + m. Calculate p(s(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -273*v + 21*v - 469*v + 118*v as w + q*v and give q.\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3*(-180)\/8)\/(-22). Let d = j + 2\/11. Let t = 434\/15 + -85\/3. Which is the nearest to d? (a) t (b) -2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = v + 5*v. Let d = v - 158. What is the highest common factor of d and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**11\/l)\/l*l)\/(l\/(l*(l*l**(2\/27))\/l)))\/((l*l**(2\/59))\/l**(-3\/4)) assuming l is positive.\nAnswer: l**(52825\/6372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + 0*m)*((-1 + 1 - 3*m)*(m + 0*m + 0*m) + (m + 2*m + 2*m)*(3*m - 3*m + m) - m - 2*m**2 + m + 5*m + 5*m**2 - 5*m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = b + b + 8, 0 = -z - b + 2. Suppose 3*o + 5*i + 17 = 4, z*o = 5*i + 33. Solve 0*h + o*h = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 16 = 36*k. Solve a + k*m - 8 = 0, -5*m = -3*a + 2 - 33 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 + 4*a + 3. Let c be y(4). Factor v**5 + v**c + v**4 + 0*v**2 + 0*v**4 - v**2 - 2*v**3.\nAnswer: v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*242.\nAnswer: -1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51742, -51866, -51992, -52120, -52250, -52382?\nAnswer: -52516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-26))\/(1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1057461, -5, -4, 4 in decreasing order.\nAnswer: 4, 1, -4, -5, -1057461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.181 - -1.211. Put -5, q, 2\/9 in increasing order.\nAnswer: -5, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -142, 4, 0, 6.\nAnswer: -142, -3, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -5 (c) 2\/13 (d) 16\/11 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6979 = 20314. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35 - -47) + (-16)\/1. Let r(w) = -w**2 - 2*w - 3. Let j be r(-3). Sort 7, -2, j, b.\nAnswer: j, b, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v + 4. Let l be s(-3). Let t(q) = -83*q - 1. Let f be t(l). List the prime factors of f\/9 - (-6)\/9.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -4533322?\nAnswer: 4533314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0*b - 5806*b**2 + 0*b + 5824*b**2 + 1 - 5. Let w(p) = 35*p**2 - 7. Give 4*w(a) - 7*y(a).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676\/(-121308)*(-66)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 9:04 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4998 and 21.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Suppose -b*d = 3*n - 18, 2*n + n - 23 = -4*d. Suppose d*u - u = 80. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*g**2 - 9 + 6*g**2)*(-5 - 4 + 2)*(0*g + 2*g + 0*g).\nAnswer: -56*g**3 + 154*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**2 - 6*q - 6. Let l(f) = -f**2 - f - 1. Let r(w) = 6*l(w) - u(w). Let a(i) = 22*i**2. Give r(a(m)).\nAnswer: 484*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-15)*1\/(-2)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92198.84l to millilitres.\nAnswer: 92198840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*7 + -1034 + 974\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 39270300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 16*g - 144*h + 146*h, 22 = 4*g - 2*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:43 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7540 is divided by 1497?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**3 - 130*c**2\/3 - 244*c\/3 - 16 = 0. What is c?\nAnswer: -4, -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1791.8 + 1791.812. Which is greater: m or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.81134 grams to kilograms.\nAnswer: 0.02881134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1\/5 - 99\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 8, 5*f + 26*l - 22*l + 21 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 1, s: 3, a: 4, o: 10}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -90 + 77 + 43.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48574 and 5960.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66255352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 24382518.\nAnswer: -1\/24382518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -17*q - 4. Let r be f(3). Suppose -2*h = 21 + 91. Let j = r - h. Let s(g) = -g. Let o(v) = -3*v. What is j*o(c) - s(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + z**4 + 2*z**4 + (2*z + 6*z**3 - 2*z)*(0 + 2*z + 0) - 5*z**4 + 3*z**4 + 0*z**4 - 2*z**4 - 2*z + 2*z.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 64 = 0. Let s = h - 18. Let l(q) = -9*q**3 - q**2 + q - 2. What is the tens digit of l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/16 - ((-105)\/2 - -3). Let m = 51 - y. Solve 5*i - 20 = 0, -3*i - m*i = -4*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/13 - 9668*k\/13 - 38704\/13.\nAnswer: 2*(k - 4838)*(k + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 + 42824*g**4 - 42452*g**4 + 96 - 292 wrt g.\nAnswer: 1488*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 632, 2\/3, 1\/3, -9 in decreasing order.\nAnswer: 632, 2\/3, 1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 5*q**2 - 4*q + 3. Let v be c(-4). Suppose 0 = -3*r + 15 - v. Suppose f - 4 = 3*y + 6, -f + r*y + 8 = 0. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 15. Calculate k(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**2 - 300 - 15*q**3 - 135 - 77 wrt q.\nAnswer: -45*q**2 - 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 284 = -r, -4*h + 11*r + 556 = 6*r. Suppose -m + 4*z - 8 = -6*m, -5*z - 15 = 0. Suppose -h = -6*j + m*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33 and 3\/773 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/7 + 1759924*u**2\/7 + 7039664*u\/7 = 0.\nAnswer: -879958, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3644707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 9*o + 5. Give t(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5368606.\nAnswer: 2, 83, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2595\/2 + 1296. Sort -5, 0.4, -4.39, c in decreasing order.\nAnswer: 0.4, c, -4.39, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 = -5*g, 5*g + 0 = -d + 8. Let b = 6 - 2. Determine x, given that -11*x**3 + 2*x + 2*x**5 - 10*x**2 - 4 + 18*x**g + 0 - b*x**4 + 7*x**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -700 - -708. Let f(i) = -2*i**2 - 19*i + 30. Let b be f(-10). What is the highest common divisor of b and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/2 - 7\/4. Let p = -0.89 + 0.69. Which is bigger: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 + 660*g**3 - 109558*g**2 + 217140*g - 108241 = 0.\nAnswer: 1, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 2. Determine r(-15).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a millennium?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h - 1754*h = 85176 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 3087.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/5, 13, 0, -0.3, -6.4, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1553 - -3185. Suppose 1299 = g - t. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxg. What is prob of sequence gggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 897877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.5 (b) 0.03 (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*z - c + 455 = -2*c, -2*z = -4*c + 16 - 48 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12554034 (base 6) in base 13?\nAnswer: -118c2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 - 2*o + 3. Let r be t(0). Suppose -10 = -r*a + 5. Solve 0 = a*s + 2 - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 3, y: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:30 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - 73. Find the second derivative of -2*w**2 - o*w - 13*w + 15*w**2 wrt w.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 428\/24 + 1\/6 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (440\/(-572))\/((-5)\/(-65))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 25. Let l(t) = -1 - 4 - 5 + g - 4*t - t**3 + 5*t**2. Determine l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540665837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(5 - (-14 - 4)) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3\/(3\/(-2))). Let v(a) = s + 3 - a**2 - 4. Let l(u) = -2*u**2 + 13*u - 5. Let i be l(6). What is v(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(300) + sqrt(300) + sqrt(300) + -1*sqrt(300) + -1 + -3*(sqrt(300) - (sqrt(300) + 4 + sqrt(300)*2)) + 3)**2.\nAnswer: 1440*sqrt(3) + 19281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 12, -7 = -3*i + 3*v + 5. Suppose -2*q - 17 - 1 = i. Let j = -6 - q. Solve -j*c = -5*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a. Let f(b) = -1218 + 2591 - 2*b - 1293. What is o(f(c))?\nAnswer: 6*c - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/18*24\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4008 + -4053. Which is smaller: -58 or q?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(33\/(-30) + 1) is divided by (-5)\/10*21\/6*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -5?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155171369?\nAnswer: 3, 11, 17, 811, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(3\/8))*b**(-2\/43))\/((b**(-11)\/b)\/(b*b*b**(-1\/3)*b)) assuming b is positive.\nAnswer: b**(14701\/1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4284 - -4282. Is y bigger than -890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42956483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 13*u**2 - 10*u**2 + 3*u**4 + 16 - u as r*u**4 + o*u**2 + l + z*u**3 + m*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1506 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 123. Suppose 2*z + 5 = z - 2*s, 4*z + s - 8 = l. What is the least common multiple of z and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 174c1a - d5?\nAnswer: 174b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22264 is divided by 669.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.4 (b) -2\/7 (c) 3\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 5*j - 4. Let y be t(-7). Suppose y = 4*k - 10. Suppose 0 = -k*z + 10 + 5. Sort -3, 2, z in ascending order.\nAnswer: -3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1685 + -1689. Which is the second smallest value? (a) 1\/15 (b) 1 (c) 0.2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/9, 7, -248, -1\/13, -1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/26? (a) 11 (b) 13\/9 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -6821346.3.\nAnswer: -6821345.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-12))\/((-3)\/(-7)*456330\/(-7632)).\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -65822*-0.3\nAnswer: 19746.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7155.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*(-16)\/6)\/(-38 - -40). Suppose -2*v - 22 = -r*v + 5*i, 5*i = -4*v + 74. What is the remainder when 64 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1001)\/(-26)*((-63)\/294)\/((-2)\/(-8)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 6*j - 1. Let w be (-1*2)\/(6\/(-27)). Let h = w + 2. Let d(i) = -3*i**2 + 17*i - 3. Let s(y) = h*z(y) - 4*d(y). Let s(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 20, -0.1043 in ascending order.\nAnswer: -0.1043, 20, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 64*i**2 - 1922*i + 63. Let j be u(30). Put j, 43, -11 in increasing order.\nAnswer: -11, j, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -307293, -614586, -921879?\n\"Answer: -307293*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4284 is divided by 62.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/105 + z**5\/30 + z**4\/42 + 6*z**2. Find c, given that k(c) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(228) - (sqrt(228) + -6*2*sqrt(228))))\/(6*(sqrt(12) + 3*(sqrt(48) + sqrt(12)))))**2*-2.\nAnswer: -152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 1 (b) 30.7 (c) -17 (d) 11 (e) 0.2 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11210211 (base 3) in base 7?\nAnswer: 13135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -2 - (-52)\/(-16). Let u = 1.78 + -1.77. Sort y, -4, 0, u in decreasing order.\nAnswer: y, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from zuztitz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.017 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r + 35*r**2 - 3\/4*r**3 + 5\/16*r**4 + 1\/240*r**6 - 7\/120*r**5 + 0. Find t, given that w(t) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t**5\/2 + 33*t**4 + 47*t**3\/2 - 37*t**2 - 6*t + 4 = 0 for t.\nAnswer: -1, -2\/5, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q + 50. Let z(k) = 2*k - 17. Calculate 4*a(g) + 11*z(g).\nAnswer: -2*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140947 - 217703 = -1238*t for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + 12.06. Let q = f - 17. What is the closest to 1\/2 in q, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 6 = c + 5*h, c - h = -8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11 - 2 - 117*o + 236*o - 118*o. Let z(a) = -3*a - 24. Let g(y) = -8*d(y) - 3*z(y). Let f(b) = 4*b - 20. What is f(g(i))?\nAnswer: 4*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7623.251312 + 1.129688. Let o = d - 7630. Round o to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1102448 = -3*q, -4*d + 2*q + 2204908 = -q. Let c = d - 316458. Suppose y - c = -944772. What is y rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2\/2 - 2*v + 167. Let j(i) = -i - 2. Let x be 22\/4 - (-3)\/6. Determine x*j(s) - 5*l(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:20 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 819963483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:45 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (35 + -5) - 39.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(220))\/sqrt(5))\/(sqrt(144) - sqrt(144)*6).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4 - 55*i**3 + 837*i**2 - 197021*i wrt i?\nAnswer: 24*i**2 - 330*i + 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/24)\/((-60)\/(-32))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -103.9999857. What is t rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 - 17*h**2. Let a(i) = -5*i**3 - 17*i**2. Give 3*a(m) - 2*g(m).\nAnswer: -3*m**3 - 17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -3*z**5\/10 - 82*z**2. Let j(m) = -5*m. What is n(j(i))?\nAnswer: -450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -978 + 1389. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + -5 + sqrt(20).\nAnswer: -7 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from torottmtrtfomtotot. What is prob of picking 1 o and 1 t?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**6)**(2\/73) assuming j is positive.\nAnswer: j**(14\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*c**2 + 32 + 7 + 11*c**3 - 11*c**3 - 3*c**4 - 40*c**2 to q*c**2 + l*c**4 + r*c + i*c**3 + m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/27 + 10\/(-6). Determine s so that -2\/9*s**2 - 2\/9 - x*s = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -32453602?\nAnswer: -32453603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/2 - 103959*z\/2 + 987791 = 0.\nAnswer: -103978, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/14*((-12)\/(-8))\/(9\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/623, 1\/2, 0, -3, 0.1, -10 in ascending order.\nAnswer: -10, -3, 0, 1\/623, 0.1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1764 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n**3 - 166*n**2 + 6*n. Let c(p) = -5*p**3 + 87*p**2 - 3*p. Give -5*c(j) - 2*w(j).\nAnswer: 5*j**3 - 103*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/27 (b) 1104 (c) 2\/11 (d) 0.2 (e) 2\/9 (f) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-1 + 1 + 2)*(3 - 2 - 2)*(5*x - 5*x + 12*x) as d + w*x and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -14*k - 178. Solve x = k*p + 8, -5*x - 20 = -0*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1010000100000010011?\nAnswer: 1010000100000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(162) - 3*(sqrt(162)*2 + sqrt(162))) + -1)*-1 + 3)*-2)**2.\nAnswer: 1728*sqrt(2) + 41508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tty. Give prob of picking 1 y and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 6*m + 2. Let t be l(5). Suppose -u + 29 = 5*f - t, 3*f = 15. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714*n + 1528*n = -2976 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 571 + 567 = 0, 5*d + p = 39. Solve 2*w = 12*s - d*s - 12, -4*w = 4*s - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 5*t - 2*t)*(6 - 13 + 6 + 2 - 265*t) to g*t + w + a*t**2 and give a.\nAnswer: -1855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34183296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 125 = q + 2*g, 3*q = 3*g + 339. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let p(g) = 36*g**2 - 2*g + 9. Determine n(p(l)).\nAnswer: 72*l**2 - 4*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(98) + 2) + ((-4*sqrt(98)*-4)**2 - sqrt(98)) + 0 + 4.\nAnswer: 28*sqrt(2) + 25104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1310*o**2 - 1301*o**2 - 6 - o**3 + 3*o - 3*o. Give b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5015 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 2590?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.296 rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1296 and 6.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 26216*a + 943999. What is v(-36)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 2117 = -116*i + 507. Calculate the remainder when 2238 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**26)\/n*n*n)\/n*n*n**28*n**(-19)*n*n*n\/n**(4\/3))**(4\/3) assuming n is positive.\nAnswer: n**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -2*o - 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 + (26 + -86 - 24).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006961816 to 7 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*s = -68*s - 1166*s + 305*s - 67445 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*r, -55*z - 63 = -52*z - 3*r. Let n be -2 - (2 + z\/18 - 2). Which is the biggest value? (a) -3\/10 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 17 + 463 = 0. Let z = s + -68. Solve -3*h = 2*m + 20, -3*m - z = 2*h + 2*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -409, -863, -1657, -2929, -4817?\nAnswer: -7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4 + 4*n**3\/3 + 7. Let g(p) = -p**3 + p**2. Determine 6*g(b) - 2*y(b).\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 106, 205, 344, 529, 766, 1061, 1420?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -289, 0.5, -4, 101, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and 4\/87.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/4 - 52355*n**4\/4 - 39264*n**3 + n**2 + 52352*n = 0.\nAnswer: -52352, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + p**2 - 27 - 49*p + 41*p + 3.\nAnswer: 2*(p - 6)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, p: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 39*o**2 - 15*o - 40. Let t(d) = -20*d**2 + 8*d + 19. What is -6*m(l) - 11*t(l)?\nAnswer: -14*l**2 + 2*l + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 - (0 + 4 - 4). Which is the second smallest value? (a) -0.2 (b) z (c) -1\/2 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = 15*i - 10*i. Let d = -121 - i. Solve d = 4*r + 9 + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*2\/27. Let k = l - -7\/9. Factor -2\/3 - k*x**3 + 2\/3*x**2 + 2\/3*x.\nAnswer: -2*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(8)*1)**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-9))\/(75\/(-475)) + 2*-1. What is the nearest to 2\/5 in z, 2\/21, -0.5, -0.03?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15*f**2 - 2*f. Let b(l) = -28*l**2 + 5*l. Calculate -3*b(a) - 5*n(a).\nAnswer: 9*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 l when three letters picked without replacement from llblb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 633264733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.650192 - -1.65. Round k to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 30. What is the second smallest value in i, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/5 + 607440*y**3 + 1537403304228*y**2\/5 + 259388121674402336*y\/5 - 7004600111999915766\/5 = 0?\nAnswer: -506209, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -48. Let l = 26.22 - 0.22. Let u = l + d. Sort 1, -0.5, u.\nAnswer: u, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.81 + -1.8. What is the biggest value in 2\/3, -2\/3, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 179, 250, 301, 326, 319, 274, 185?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 + -2.8. Let s = 1 + -0.9. Which is the nearest to s? (a) -0.5 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a18 + -a0593?\nAnswer: -a1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**3 - 8*a**2 + 19*a - 144. What is the units digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.337 - -1.663. Sort 3, u, 6 in decreasing order.\nAnswer: 6, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/18 + 44*k**3\/9 - 484*k**2\/3 - 11*k. Let q(r) = 0. Calculate r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 242, 972, 2190, 3896, 6090?\n\"Answer: 244*r**2 - 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138\/205 + 3\/41. Let p = 1.7 + -2. Which is the smallest value? (a) -0.11 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-3)\/12 - (-345)\/(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q. Let k = -15 - -17. Let y(a) = 0*a**2 + 0*a**2 + a**k. Determine y(c(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 4*b - 4. Let n(g) = 3*g - 3*g**2 + 7*g**2 + 3 - 3*g**2. Let z(f) = -6*k(f) - 7*n(f). Let x be z(3). Solve 5*d = x*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -33, -40, -41, -36, -25?\n\"Answer: 3*j**2 - 22*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 48 = 3*w. Suppose 5*x = -5*a - 558 + 578, -4*x - 12 = -3*a. Is 31 a factor of (x - (-68)\/10)\/(w\/(-240))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 plus 0.14?\nAnswer: 348.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, -4\/451, -3, 1\/4, 2\/11 in ascending order.\nAnswer: -3, -4\/451, 2\/11, 1\/4, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1938*a**2 + 3877*a**2 - 1941*a**2 - 1374*a as c + m*a**2 + h*a and give h.\nAnswer: -1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 70. Suppose 42 = -z*i + 16*i. What is the tens digit of (8*i\/60)\/(4\/(-770))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + 3*o + 2. Let v be y(-2). What are the prime factors of (-3)\/(-3)*v - -26?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*s = -0*s - 12, x + 3*s = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -7, 23, 87, 197, 365?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 40*r - 43*r. Let g be (-5)\/(r\/8)*(14 - 11). Let x(o) = -5*o - 5. What is x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/40? (a) -4 (b) -103 (c) 1\/37 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30550 - -4?\nAnswer: 30554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a hour in seconds?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 2*w + 94, 96 = 5*g - 3*w. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16771373\/31 or 541011?\nAnswer: 16771373\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 10 = -2*z, 3*y + 25 = -5*z - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**4 - 7*h**3 + 64*h - 1. Let t(g) = -2*g**3 + 2*g - 1. Let z(m) = a(m) - 2*t(m). What is the second derivative of z(w) wrt w?\nAnswer: 12*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d + 15*d + 11*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 13*c + 44 + c**2 - 22*c - 19. Suppose -3*o - 4*b + 52 = 2*o, 21 = 3*o - b. Calculate the remainder when 50 is divided by f(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 53?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-18 + 8)) + 1 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 39212950.\nAnswer: 235277700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789 = k - 2*n - 775, -n + n + 10 = n + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0 - 3*d + 0*d - d**2 + 0. Let c be ((-2)\/(-4))\/((-4)\/24). Give o(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7768.4685 - -5993.464. Let r = -1777 - t. Let m = r - -2. Round m to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -13) + (-18 - -39) + -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 42. Let g = -10 + 23. What is the highest common divisor of v and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*k**3 - 9*k - 717*k**3 - 5*k + 14*k + 364*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 21 = d - 3*f, 3*d + 3*f = -21. Let u be (32\/5)\/(d\/(-15)). Let j = u + 6. Sort 2, 0, j, 4.\nAnswer: 0, 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3207, -3244, -3293, -3360, -3451, -3572, -3729?\n\"Answer: -a**3 - 30*a - 3176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -0.1. What is s rounded to 1 decimal place?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 79.08446ml?\nAnswer: 0.07908446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4398635 and 4899.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -19.4. Let u = -1.5 + g. Let w = u - 2.1. Which is the nearest to w? (a) -6 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/7, -3, -1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 11\/852, 5, 0.049, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 - 10*i - 12. Let n(p) = 2*p**3 + 11*p**2 - 21*p - 25. Let w(b) = -5*d(b) + 2*n(b). List the prime factors of w(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h**3 - 2*h**4 + h**4 + 10*h**3 + (h**2 - 3*h**2 + 4*h**2)*(4*h**2 - 5*h**2 + 3*h**2) + 0*h**4 + 3*h**4 - 5*h**4.\nAnswer: h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9682 = -4*g, 7*z = 3*z - 4*g - 19304. Let q = z - -23466. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -2 + 1 - (sqrt(1377) + 4*(-1 + sqrt(1377)) + sqrt(1377))) + 3 + -1.\nAnswer: -45*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -30. Suppose 3*s - a - 101 = 42, j*s - 204 = -2*a. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 1343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120898 (base 10) to base 9.\nAnswer: 2087522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-1)\/(-2))\/((-5)\/(-10)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-6))\/((-3)\/(-30)). Let g(r) = 4*r**2 - 8*r - r**2 - o*r. Suppose -4*p = 30 - 2. Let h(v) = 2*v**2 - 9*v. What is p*h(n) + 5*g(n)?\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4212)*-1*5)\/(sqrt(144)\/sqrt(4) - (sqrt(4) + (sqrt(16)*4 - sqrt(4)) + sqrt(4) - sqrt(4))))**2 + -3.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43323396.999947 - 43323451. Let y = -43 - 11. Let h = n - y. Round h to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 82 - 182)*(-x - x + x).\nAnswer: 157*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 75.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8*p - 5 = 3*p, -o = 3*p + 5. Let z be (-15)\/o - (-1 + 27\/(-12)). Put -4, z, 1 in ascending order.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 3*o**2 + 4*o - 2. Let w be j(4). Let k = -7509\/10 + 752. Find the common denominator of k and (w\/(-84))\/((-1)\/(-94)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, u: 2, b: 4, q: 1, x: 7}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**7\/70 + 3*m**6\/20 + 13*m**5\/20 + 3*m**4\/2 + 2*m**3 - 45*m**2. Factor v(y).\nAnswer: 3*(y + 1)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(3*(-8)\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4253.0000026257 + -4253. Round k to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -573.8 + 576.8. What is the nearest to 12 in g, -11, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 404.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q + 0*q - q)*(48 + 65 - 33) - 3*q + 2*q + 0*q)*(7*q + 2*q**3 - 7*q).\nAnswer: 318*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*r**3 - r + 3*r + 302*r**3 - 5*r**4 + 106*r**2 + 1 - 106*r**2 in the form c*r**2 + a*r**3 + v*r + j*r**4 + i and give a.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.7526 + 0.0474. Let y = -42.6 + z. What is the closest to 36 in 2, -5, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -5287*t**7\/7 + t**3\/3 + 2*t**2 + 11*t - 5539. What is the third derivative of c(w) wrt w?\nAnswer: -634440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 7) to base 13.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 9) in base 6?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 8 + -9 + -10 + -3 + 7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -11. Let r(t) = -t**3 - 6*t**2 - t - 4. Let q be r(-6). Suppose 10 = q*b + d. Solve -4 = -b*v + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 108*j**3 - 5652*j**2 + 63844*j - 220704.\nAnswer: 4*(j - 11)**2*(j - 8)*(j + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 182652, 365452, 548246, 731034, 913816, 1096592?\n\"Answer: -3*j**2 + 182809*j - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p**2 + p)*(-362*p - 4*p**3 + 362*p).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88\/7*q + 5\/7*q**3 - 256\/7 + 163\/7*q**2 = 0. What is q?\nAnswer: -32, -8\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21330322 + -30?\nAnswer: -21330352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*s + 11. Let h(u) = -u**2 + 3*u + 2. Let g be h(2). Let v = g + s. Solve v*y + 6 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176373555*q + 90306547.\nAnswer: 176373555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 2\/(-6) - 13\/3. Let o be (-56)\/(-14) - v*1. Solve -o = 2*p - w, -5*p + 5*w = 32 + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 523 + -523.2. Let i = 12 - 13. Sort 0.4, a, i, 2.\nAnswer: i, a, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -97 + 28?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(3\/10)\/d*d)*d**(-3\/11)*(d\/(d*d*d*d*d**(1\/16)))\/(d*d\/d**(-5)) assuming d is positive.\nAnswer: d**(-9359\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03889307 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 272197?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 28) + -20 - 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47035*i + 224093*i + 236241*i - 20436*i - 92962*i.\nAnswer: 393971*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 3, u: 1, i: 1, k: 1, f: 2}. Give prob of picking 1 k, 1 b, and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53497 (base 12) to base 10\nAnswer: 109555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -103. Put -2, -4, l in decreasing order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 14) in base 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2\/(-42) + -39 + (-8850)\/(-630).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/21)\/(-4*(-2)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15981 and -0.3.\nAnswer: 15980.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-198)\/15)\/((-4)\/(-20)). Let w = k - -168. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/4 - 1)*2. Suppose -78 = -6*w - 60. Let i be w + -7 + 1 - -58. What is the highest common divisor of z and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -215, 2205, -10, 1.\nAnswer: -215, -10, -4, -2, 1, 2205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 0*o - 4*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -3*h**5\/10 + 3*h**2 + h + 2. Let i(o) be the first derivative of c(o). What is the derivative of i(y) wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 828 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -103, -144, -195, -262, -351, -468?\n\"Answer: -k**3 + k**2 - 37*k - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdccddcc. What is prob of picking 4 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y + 25. Suppose -3*i = 9, -y*k - 2*i + 234 = -5*i. Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441565977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - g - 3 + 1 + 0 wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4746\/105 + (-1 + 3)\/(-10). Let y = 47 - c. Let t(i) = -3*i**2 + 4*i - 2. Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 3384?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let r(n) = -5*n - 1. Let o(w) = 8*i(w) + 3*r(w). Let x be o(6). Let p be 2\/(x*(-4)\/(-18)). Solve -s + 4*s = k - 8, -p*s + 3*k - 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 0.4 (b) 773 (c) 4 (d) 0 (e) -4\/5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 - 12021?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118069447 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 - 2*q + 4. Suppose -5*f + 10*f + 15 = 0. Calculate the remainder when m(f) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 32*u**2 + 166*u + 58. What is s(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323 divided by 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (-42 - -47) - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.88 * -300.\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19047*p - 743 - 1083 = -18881*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 913156.6 nanograms in kilograms?\nAnswer: 0.0000009131566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**0)\/a)\/a)\/(a\/a**(-6)))**(-3\/43) assuming a is positive.\nAnswer: a**(24\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -164321 or -164309?\nAnswer: -164309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161043403?\nAnswer: 161043403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2439 = 5*r, -2378*r = -2375*r - 12. What is the remainder when p is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*x - 24, -6*x + x + 31 = 3*r. Let p = x - 8. List the prime factors of (2\/p)\/((-4)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23129146 divided by -34\nAnswer: -680269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/40 + m**5\/12 - m**4\/8 + 16*m**2. Let c(l) = 4*l**3 + 7*l**2 - 4*l. What is 5*c(z) - 7*j(z)?\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.876 + -0.124. What is the nearest to 3 in -2\/3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/11 + 31\/11. Suppose 10 = -2*o - m*o. Let p be 120\/70 - o\/7. Solve -4 + 2 = -p*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 14. Is g less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 28001*b**2 + 3862*b**5 + 28001*b**2 - 5*b + b**5 - 2*b**5 + 3*b**5 + (-5*b**2 + 4*b**2 + 0*b**2)*(0*b**3 - b**3 + 0*b**3).\nAnswer: 3865*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-6) + 5\/15. Let w = s + -1. Suppose 7*r - 20 = w*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14864 to three decimal places.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3 - (-2 + -1))) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*l + 56. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -66. Suppose 5*s - 19 = 3*c, c - 2*c = -s + 5. Let m be s*3\/9*9. What is the greatest common divisor of m and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let l = -24.9 + 25. Which is the biggest value? (a) 3\/8 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 550735.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 16*w - 33. Let q be o(-18). Let u = q - -69. Suppose -2*y - 3*f - f + 36 = u, -y + 53 = -5*f. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**3 - 6*k**3 - k**3 - 7*k as i*k**2 + z + h*k**3 + v*k and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6839582 and 575025.8.\nAnswer: 7414607.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 12. Let c = -40 + 30. Calculate p(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0, 5, 0.5, 0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.112 and 24.6.\nAnswer: 2.7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 209 - 7. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.57 + -3.43. Let v = 0.1 - 1.1. Let r = 1.2 + v. What is the closest to r in 5, s, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*t**3 + 965*t**2 + 4170*t - 14040.\nAnswer: -5*(t - 52)*(t + 6)*(4*t - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 215 = 5*v, 6*v - v - 195 = 3*r. Calculate the least common multiple of v and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/60 - s**4\/2 + 9*s**3\/2 + 5*s**2. Let j be a(-14). Let n = j - -26. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) -4 (c) -0.4 (d) -203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-3165)\/(-225) - ((-19962)\/(-270) - 13)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 - -4.84. What is the biggest value in z, 4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:19 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13376887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 375.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 63552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 3*i + 14. Let z be m(9). Let k be (1900\/z)\/(2\/4). Let l = k + 161. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((0 - (0 + 1)) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3 + p**2\/2 - 72*p. Let k(t) = 6*t. Determine -2*a(d) + 3*k(d).\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328503 + 681?\nAnswer: -1327822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q - 297694 - 381929. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4050*t**5\/17 + 243360*t**4\/17 + 1791458*t**3\/17 - 4386300*t**2\/17 - 400424*t\/17 - 528 = 0. What is t?\nAnswer: -51, -11, -2\/45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -7. Suppose 3*z - 12 = 0, -8*z + 4*z - 29 = -5*b. What is the smallest common multiple of b and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o + 34*o - 23*o)*(6*o - 2 + 3*o**3 - 5*o - 12*o).\nAnswer: -18*o**4 + 66*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 + 15660*u**3 - 374344*u**2 - 2684784*u - 3746880 = 0.\nAnswer: -4, -2, 30, 7806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 1038?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(245)*2.\nAnswer: -42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678 by 5.\nAnswer: -678\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let c(i) = -2*i. Let h(a) = -c(a) + 2*o(a). Let p(t) be the third derivative of -t**5\/60 - t**2. What is p(h(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 8*i**2 + 7*i + 7. Let t be w(-7). Let a = t - 1. Let p be (44\/a)\/((-24)\/(-36)). Solve 4*k + 2*y + 9 = 35, -k - 2*y + p = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + p. Suppose 0 = u + 4. Let c(r) be the first derivative of -3*r**4\/4 - 2*r**3\/3 - 2*r**2 - 10. Determine u*z(n) - c(n).\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*d + 4*d - 33, 2*q = -5*d + 49. Let g(x) = -x**3 + 13*x**2 - 11*x - 15. What is g(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 + -2)*(2 - 1). Let q = z - 3. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:11 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-3 - (8 - -4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -339636 divided by -7719?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45594 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 30*d**2 - 537*d - 2130. What is j(15)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = m - 3*h, -8*m + 16*h + 56 = 12*h for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 63, 214, 519, 1032, 1807?\n\"Answer: 9*v**3 - 4*v**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 18*s**2. Let m(n) = -n**2. Give -72*m(a) - o(a).\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*z - 31344309 = -422*z + 16278931. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453741.\nAnswer: 3, 151247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 601855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -29. Suppose -2*a - 575 = -3*n + f*a, -3*n = a - 551. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/741 and -81\/8930?\nAnswer: 348270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.07, 0, 0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 3 - 3 - j)*(-3 + 0 + 6) + j**2 - 4*j**2 + j**2.\nAnswer: -5*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (0 + 14\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = u, -5*u = -8*g + 3*g - 5. Solve g*k + 0*k + 3 = -2*x, k + 1 = 3*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {c: 5, s: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636014 and 11?\nAnswer: 6996154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-43*g**2 + 41*g - 41*g).\nAnswer: -86*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444891070 to the power of 1\/2, to the nearest integer?\nAnswer: 21092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380401 is divided by 447.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p**2 + 3*p. Let u(f) = -11*f**2 + 2*f. Let i(j) = 6*r(j) - 5*u(j). Find the second derivative of i(h) wrt h.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + 2*(sqrt(200)*2*6 - sqrt(200)).\nAnswer: 4 + 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -c34976?\nAnswer: c34973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -523 - -838. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*s**4 - 1816*s**2 - 8236820 with respect to s.\nAnswer: 524*s**3 - 3632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7340.628cm to micrometers.\nAnswer: 73406280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16280 is divided by 16278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 10, -13*a = -3*l - 12*a - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.05 - 0.05. Let b = -4.7 + v. Let x be ((-122)\/549)\/((-2)\/6). What is the closest to x in -6, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.563, -3, -0.4, -35.2 in descending order.\nAnswer: 9.563, -0.4, -3, -35.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 20, -4, 4, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1235025\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 6*i - 4. Let q be t(-6). Let a(f) = -8*f**2 + 0*f + 2 - 2*f - f**3 + 4*f**2. Is a(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6513 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80576\/896 + ((-30)\/(-28) - (-115)\/(-115))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o. Let r(y) = -y - 1. Let p be r(-3). Find the third derivative of -n**5 + o*n**5 + p*n**2 - 6*n**5 + 4*n**5 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -391 - -492. Suppose 2552 = 105*q - c*q. List the prime factors of q.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1092\/54 - ((-4)\/(-18))\/1. Let p(k) = -7*k**2 - k + 6. Let n be p(-6). Let y = n - d. Round y to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-8))\/(6\/(-3)). Solve -2 = -y, 3*n - 2*n + 7 = i*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/54*(-85 + 100). Which is the smallest value? (a) 0.28 (b) -16 (c) -4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -70\/3*b**3 - 92 - 15\/4*b**4 + 0*b - 20*b**2. Factor h(n).\nAnswer: -5*n*(n + 4)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/3 - 2*b**2 + 2*b + 3. Let c = 94 + -98. Determine n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -9699?\nAnswer: -9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 72. Let q be 2\/(-6) + (-3)\/j. Which is the third biggest value? (a) -0.1 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 0.2, -0.25, 1?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46172.\nAnswer: 2, 7, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 26. Let s be f(-9). Let g(a) = -a**2 + 13*a + 10*a**3 - 3*a + 2*a**2. Let y be g(s). Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = -274 - 857. What is the remainder when 162 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4 = 4*g, 25 = 3*u + 5*g. Let r(f) = -8*f**2 + 4*f**2 - 4*f**3 - u*f**3 + 2*f**2. Let q(d) = -8*d**3 - 2*d**2. Give -7*q(x) + 6*r(x).\nAnswer: 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 11}. What is prob of sequence bo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35493 is divided by 35364?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 720*s - 2504. Let w(l) = -2*l**2 - 721*l - 2496. Let k(o) = -7*q(o) + 6*w(o). What is the derivative of k(z) wrt z?\nAnswer: 4*z + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 996\/(-6972) - ((-4)\/(-14) + (1584\/28 - 3)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/7 + -37\/21. Let k = -0.047 + -133.453. Let y = k + 134. Which is the second smallest value? (a) n (b) -6\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) + 3 + sqrt(11))**2 + 1.\nAnswer: 12*sqrt(11) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(-113*h - 59 - 23 + 82) to j + v*h and give v.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -61\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 400 in descending order.\nAnswer: 400, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/42*(-987)\/(-94)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-42))\/((-2)\/6). Let x(y) = -y**2 - y. Let b(r) = 2*r**3 - 4*r**2 - 4*r - 1. Give p*b(n) + 4*x(n).\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4) + (-1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/23)\/(u*u*u*u*u\/(u\/((u*u\/(((u*u\/(u*u*u**(-46)*u*u))\/u)\/u))\/u))))**36 assuming u is positive.\nAnswer: u**(30528\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 241642.2ml in litres?\nAnswer: 241.6422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 1. Let p be 4 - (-1 - -1)*1. Suppose p*n - 6*n = s - 3, 5*n = s + 11. Let q(t) = -3*t**3 + 3*t + 3. Determine n*q(k) + 6*h(k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14350455 (base 6) to base 3.\nAnswer: 221020010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 30*w - 137. Let l be s(24). Suppose -2*m + 4 + 0 = 0. Suppose 7*r - l = -p + m*r, 2*r = 4. Is 0 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/17)*c**0*c**7\/c*c**(-1) assuming c is positive.\nAnswer: c**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 15.7. Let u = -2.3 - q. Sort u, 5, 0 in descending order.\nAnswer: 5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*n - 15 = 0, -4*s = 13*n - 14*n + 21 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.128 - 107.872. Let k = 97.3 + t. What is the second smallest value in k, 0.2, -3\/2, 3\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nna when three letters picked without replacement from nautfain?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13041336 to 4 decimal places.\nAnswer: -0.1304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 16, 5*k - 14 = -5*n + 6. Let h = 4 + n. Which is the third biggest value? (a) -2 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357739161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -987 + -2.\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**7\/350 + w**6\/100 - 3*w**2 + 7. Suppose z(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**6\/72 + x**5\/36 - 5*x**4\/36 - 8*x**2. Factor i(j).\nAnswer: 5*j*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l - 32. Let w be g(5). Suppose 0 = -w*a + 308 - 53. What is the greatest common factor of 34 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1258 + 34 = 2*s. List the prime factors of s.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t - 28. Let n = -12 - t. What is the first derivative of -3 + g**2 + g**2 - g**n + 9 wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/664755 and 34\/6825?\nAnswer: 3323775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.5, 2\/11, -36?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*t - 20, -20 = 82*t - 77*t - 5*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -5, 1, 0.395?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(6))**2*-4*2 + ((sqrt(36)\/sqrt(588))**2 + sqrt(3) - (sqrt(3) + -2)*6).\nAnswer: -9993\/49 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k + 5 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*w**3 - w**3 - 50*w**3 + 80*w**3.\nAnswer: 192*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1519 - 0.5611. Let x = j + 0.71299541. Round x to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 divided by -2?\nAnswer: 317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 181 = 309 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -618 - -949. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**2 - 5*f - 11. Let n(w) = -w**2 - w - 2. Let z(y) = -11*n(y) + 2*r(y). Let m be (3 - (0 + 4))*3. Let q be 20\/(-5) + (2 - m). What is z(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27 + 240\/8)*(-1)\/(-15). What is the nearest to -64 in j, 5, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437 + 439. Let m(n) be the second derivative of -2*n + 0 + 0*n**z - 3\/20*n**5 - 1\/4*n**4 + 1\/2*n**3 + 1\/10*n**6. Solve m(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.242*-0.14.\nAnswer: 0.03388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-13 - (-6 + 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)*j*j**(-3))\/(((j**0*j)\/j*j*j)\/j)**(-23)*j\/(j\/j**(-1))*j**0*j*j*(j*j\/(j**0*j)*j)**1 assuming j is positive.\nAnswer: j**(165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**3\/2 + 8*y**2 - 7*y. Let w be t(4). Find the second derivative of u**w - 2*u**4 + 16*u - 5*u**4 - 9*u**4 wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, n: 6, q: 1}. Give prob of sequence nznn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*b = 3*n + 8, 0 = 2*b - 6. Let k be ((-63)\/6)\/((-18)\/48). Suppose 2*y + k = n*y. Calculate the remainder when 68 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 351 and 767286?\nAnswer: 767286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2 - 4. Let d(y) = -2*y**2 + 20. Determine g(d(j)).\nAnswer: -4*j**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 4*o + 3. Let u be q(7). List the prime factors of (-2630)\/(-90) + 4\/u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20*(-22)\/9900)\/(-1*(-2)\/(-10))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -32. Suppose m + b*m = 5. What is the nearest to 0.05 in m, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233527.\nAnswer: 7, 73, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 6, 19, -39, -4 in decreasing order.\nAnswer: 19, 6, -4, -26, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/791 and 93\/10.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Let g = -9.1 - -9. What is the second biggest value in i, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 2, n: 2}. What is prob of picking 1 o and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23148 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, c: 7, n: 7}. Give prob of picking 4 c.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31642?\nAnswer: 2, 13, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-16 - (33 + -62))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9 + 3))\/(1\/(-14)). Suppose 0 = 4*c + l*c - 33. Solve -15 = -c*v - 0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009536 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 27*m**2 + 59*m + 38. Give t(-29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -44*f - 45*f - 43*f + 131*f. Let j(w) = -3*w**2 + 5. What is j(r(i))?\nAnswer: -3*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)\/(2*sqrt(10))*-1 - (-1 + sqrt(26)\/(6*(sqrt(2) - sqrt(50)))))**2.\nAnswer: -23*sqrt(13)\/12 + 7453\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -127*b**4\/3 - 578*b. Let u(c) = c**2. What is u(g(j))?\nAnswer: 258064*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 1. Suppose 3*m - 7 = 4*h + 2*m, -4*h - 4*m = -8. Let y be a(h). What is the greatest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 227 = 2*g - 1423, -3*w = -g + 594. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6622103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/12 + 11\/6. Let b = -21 - -37. Let t = -16.5 + b. What is the nearest to t in q, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 - -5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**(-16)))\/h**33 assuming h is positive.\nAnswer: h**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014.42 + -0.0982?\nAnswer: 4014.3218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 42 = -10*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 94306020, 188612041, 282918062, 377224083, 471530104, 565836125?\n\"Answer: 94306021*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afafhaaaq. What is prob of picking 1 f and 1 a?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 + -411312?\nAnswer: -411140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/312 and 10\/9?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 7\/4. Let o(x) = x**3 - 2*x**2 - 3*x + 1. Let k be o(3). Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by 375?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (2 - -1)) + (7 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 773563607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 23 - 1606496\/(-64416)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 41*v**2. Let a(y) = 99950 + 34*y - 99950. Give a(x(c)).\nAnswer: 1394*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 17. Let m = y - -6. What is the smallest common multiple of m and (1 - -1) + 120\/6?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4870 + 13*n**2 + 4849 - n - 16*n**2. Calculate s(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.51?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18253978 to the power of 1\/2, to the nearest integer?\nAnswer: 4272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 14*p + 11. List the prime factors of x(12).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-448) + 4\/16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (69\/6 - 12)*-47834 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + 18*o**2 - 2*o**2 + o**2 to x*o**2 + k*o + t and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 32*f. Let w be j(32). Suppose w = -269*q + 272*q + 21. Which is smaller: q or -92\/11?\nAnswer: -92\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, g: 9}. What is prob of picking 2 g?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1290, -1298, -1298, -1284, -1250?\n\"Answer: h**3 - 2*h**2 - 9*h - 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 - 21) + 0 + 2 + 4. What is the second biggest value in 4, h, -1\/81, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1467261 + 92?\nAnswer: 1467353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(891) + (sqrt(891) - (sqrt(891) + -1)) - 2*sqrt(891)*-3)*-1)**2*-3.\nAnswer: -2095824 - 12096*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -20*g + 44. Find the second derivative of 3*j**3 + 6072 - 5*j**3 - 6071 + 45*j + j**3 + g*j**4 wrt j.\nAnswer: 48*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5 - 6*p**4 - 24*p**3 = 0. Calculate p.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409812 divided by -787.\nAnswer: 409812\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (9 - 0)\/3. Suppose p = 2*n + 2*n - 16. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82 and 242.\nAnswer: 9922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420488 is divided by 1282.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*o = -16, l + 4*o = 2 + 9. Suppose -5*c = l*h - 146, -3*c + 81 = 3*h + h. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74392 or 4\/45?\nAnswer: -74392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/30 - k**2. Let z(c) be the second derivative of -c**3\/3 - 8*c. What is q(z(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665403?\nAnswer: 3, 293, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 63. Let p = 4 + 1. Suppose -2*r = -o + 3*r + p, 0 = 5*o + r + 27. Which is the nearest to -0.2? (a) -1\/6 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1313 and 1982656.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/7 - 374\/693. Let k = -3852 + 3857. What is the fourth biggest value in d, k, -1\/5, -0.03?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1736, -6963, -15672, -27863?\n\"Answer: -1741*d**2 - 4*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.6618 * -8\nAnswer: 5.2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -52. Suppose 5*o + p - h = 0, 0 = 3*p + p - 16. Is (-40)\/14*(-14)\/o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29207.46um?\nAnswer: 29.20746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04421 + -43.52579. Let d = k - -43. What is d rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36 - -47 - (18 - 0)) + 12. Sort -0.07, -3, x, -148\/5, 1 in increasing order.\nAnswer: -148\/5, -3, -0.07, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let y(o) = 26*o**2 + 3*o - 1. Give 2*t(v) - y(v).\nAnswer: -26*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 0 + 115 + (-2)\/1. Let n = -96 + y. Calculate the greatest common divisor of 180 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -7.\nAnswer: -7, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*7\/(-560) + (-8)\/(-32))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -15, 3*s + o + 8 - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/4318778 - 5208448237\/8503673882. Let q = m + 12\/179. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(15\/7))\/((s\/(s*s*(s**(-39)*s)\/s))\/s) assuming s is positive.\nAnswer: s**(-237\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.48583 + -15.95.\nAnswer: -15.46417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 267615749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.12, 5, 83, -18, -4 in descending order.\nAnswer: 83, 5, 3, 0.12, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1 - (-9)\/4)\/(8729\/4988).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 0.23. Let x = 0.3 + -0.5. Is j greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*r*x + 3*n**3*x**2 - 2*n**2*r*x**2 + 23*n**2*x - r*x + 2*x**2 wrt x?\nAnswer: 6*n**3 - 4*n**2*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28313 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s + 19*s**4 - 15*s + (-1 + 1 + 2*s**3)*(-2*s + s - s).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 493, 4, -2, 0 in ascending order.\nAnswer: -2, 0, 4, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18\/72 - 4\/((-16)\/31)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*k + 2*q + 4, -3*k + 2*q = -2. Suppose -3*s + 0*v + 2*v + 532 = k, 0 = -s - 4*v + 168. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0 + 0*p + 0*p**6 + 0*p**4 + 7*p**2 + 1\/10*p**5 + 1\/35*p**7 + 0*p**3. What is the third derivative of u(d) wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 + 2362*l - 2361 = 0 for l.\nAnswer: 1, 2361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + f4b54bc?\nAnswer: f4b54be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 16. What is l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92220367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, t: 3, w: 8, e: 2, u: 1}. What is prob of picking 2 w, 1 k, and 1 t?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(272) + -1) + 2)**2 + (-1*((sqrt(272) - (2 + sqrt(272)) - sqrt(272)) + 4)*1)**2.\nAnswer: -136*sqrt(17) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*r + 135975 = -280*r. Is r a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1525, 6027, 13353, 23359, 35901, 50835, 68017?\nAnswer: 87303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000300002 (base 4) to base 8.\nAnswer: -4006002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13760 + 13762. Solve 3*l + 79 = 5*m + 96, -2 = b*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 7*l - 11*l - 15, 5*l + 15 = 3*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 101. Let i(c) = -c**2 + 20*c + 73. Let a be i(t). Let p(k) = -2*k + 4. Determine p(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/2, -2\/9, 1\/5, 11, -4.\nAnswer: -4, -0.3, -2\/9, 1\/5, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (28 - 22)) + (-2 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 - 5*w - 3. Let c(y) = 3*y**3 - 4*y - 2. Let s(q) = q**3 + 4*q**2 - 4. Let f be s(-4). Let b(j) = f*m(j) + 5*c(j). Give b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 426*x = 429*x - 3, 0 = 11*x - 11 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 3*y**3 - y**3)*(-160 + 57 - 71).\nAnswer: -174*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*j = 20, -1257*l - 5 = -607*l - 627*l + j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111026, 222053, 333080?\n\"Answer: 111027*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away -8449793428848?\nAnswer: 8449793428834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 640 (b) -20 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 12, -2*o + c = -2 + 7. Let k be 0 + o - (-3 - 1). Suppose 0 = y - 4*i + 1, 2*i - 3*i + k = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**2 + 67*q - 4112. Let o(a) = 20*a**2. Determine d(o(n)).\nAnswer: -40*n**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 1. Let n(p) = p**3 + 4*p**2 - 8*p + 1. Let h(i) = n(i) + 5*z(i). Calculate h(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*2*(sqrt(2) + 1*((-1 + sqrt(2) - sqrt(2)) + sqrt(2))).\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.238 in 0.1, 0.6, -44\/433?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-108)*4*1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*j - 4*z - 20, 4*z + 34 = 5*j. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-2)*w)\/w)*w)\/(w*w\/w**3)*((w*w**(-1\/4))\/w)\/(w*w**(-1\/2)) assuming w is positive.\nAnswer: w**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2521351?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert -6311 (base 7) to base 8.\nAnswer: -4245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 27 = 9. Suppose o - 3 = j. Suppose -2*u + 2*c + j = 0, 0*c + 3 = 5*u - c. Which is bigger: u or -3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-2))\/t**(-7))\/(t\/(t\/((t**3*t)\/t))*t**2))**(-44) assuming t is positive.\nAnswer: t**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((3 + sqrt(1872)*-4 + sqrt(1872))**2 + sqrt(1872) - sqrt(1872)) - -1*(sqrt(1872) - (sqrt(1872) + -3)*6)) + -1)*2.\nAnswer: -552*sqrt(13) + 33738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*u = -35, -20 = -h + 8*u - 3*u. Suppose 0 = -3*m - h + 2. Let b be (4\/12)\/(m\/(-21)). Solve 0 = -k - b + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13008 divided by -6.\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, -5, 0.4, 21, -220, 0.3, 2.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1337910 divided by -69.\nAnswer: -19390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -76. Let p = -34\/49 - -1101\/245. Let q = p + -128\/35. Which is the third biggest value? (a) 2\/3 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1477 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4155 + -212?\nAnswer: 3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 47*r + 204. What is the units digit of o(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14 = m, h + 2*m = 2*h - 10. What is h rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 - 38620236*i**4 - 124293552391308*i**3 = 0. Calculate i.\nAnswer: -6436706, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 11:52 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (-1)\/5 + (-186)\/(-30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by -5.\nAnswer: -83\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 12:32 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/sqrt(9) + 0 + -3 - (-1 + sqrt(30)\/((sqrt(70)*-4)\/sqrt(7)))) + 0.\nAnswer: -2 + 17*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 60*z**2 - 170*z - 33. What is q(57)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*5)\/((-49)\/(6321\/(-344)))*4\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291959911 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o - 6*o - 2*o**2 - 11*o + 11.\nAnswer: -2*o**2 - 36*o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -499*t - 93. Let z be h(-38). Let k = z - -380. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*r - 24, 5*r + 18 = 2*i + 7*r. Let j(z) = 136*z - 1070. Let o be j(8). Is o greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 15*r - 5472 = 0. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2907, -3 in descending order.\nAnswer: 2907, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - 32 = 73*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 37774 = 38035 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 1. Suppose 2*u + 2*a = 0, 4*a = -b*u + u + 2. Solve 1 = -3*t - u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24)*-1*8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 2558, 5759, 10240, 16001, 23042?\nAnswer: 31363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 18 + -15 - -52.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1031504452 + -3?\nAnswer: 1031504445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084361492 to five dps.\nAnswer: 0.00844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 77?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p - 1. Let z(b) = -7*b**3 - 4*b**2 + 10*b + 1. Let n(q) = -6*k(q) + z(q). Does 6 divide n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/(l\/l**6))\/(l\/(l**(1\/6)\/l)*l*l**3) assuming l is positive.\nAnswer: l**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2755 and 1?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -17*q + 88. Let l be ((-2)\/((-4)\/(-1)))\/(58\/(-580)). Let r be z(l). Solve 0*m = r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07148 + 0.0714812225. What is b rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(-1 + ((-1 + 1 + sqrt(448) + sqrt(448) + 3 + 1*sqrt(448) + -4)*6)**2).\nAnswer: -6912*sqrt(7) + 580753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.057713 and -27.95.\nAnswer: -27.892287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 9*b**2 - 9*b + 10. Let x be q(-10). Solve 5*v + 4 = -1, 4*f + 4*v - 16 = x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 36*w**2 - 286*w - 760. Give r(19).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 - 19*z**3\/3 + z**2 + 15. Let j(g) be the first derivative of m(g). Let s(p) = 0 + 7*p - 29 - 8*p. Give s(j(x)).\nAnswer: 2*x - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 8\/19 (b) -1 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11838411661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) - (sqrt(441) - (sqrt(441) - -4*sqrt(441))*-2))\/sqrt(7))\/(5*(sqrt(729) + sqrt(729)*2 + sqrt(729))).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - 0) + (7 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3, 0.076?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4862148.\nAnswer: 2, 3, 405179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Let n(s) = 4 - 4*s + 3*s + 0*s + 0*s**2 + 6*s**l. Is n(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -2094.6727.\nAnswer: -2094.1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*z**6 - 195*z**3 + 9*z**2 + 3*z - 14 wrt z?\nAnswer: 4920*z**3 - 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 11*m**2 + 21*m + 19. Give b(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, 22829, -2.\nAnswer: -2, 0, 1, 2, 22829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.385 * -3973898.\nAnswer: 1529950.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9146060.\nAnswer: 2, 5, 7, 11, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6)*498\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2072, -4122, -6172?\n\"Answer: -2050*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 32 = -8*a. Let m(v) be the first derivative of 61*v**2\/2 - 5*v - 2. Is m(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(5*sqrt(84)*2)\/sqrt(12) + 4 + 3)**2.\nAnswer: 700*sqrt(7) + 17549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-10 - (17 + 8 - 10))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50222625 - 1?\nAnswer: -50222626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 105 = -5*g, 4*b + g + 14 = -103. Calculate the remainder when 2\/(-3 + (-94)\/b) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m + 1418*m**2 - 810*m**2 + 2*m + 572 wrt m.\nAnswer: 1216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002011212112 (base 3) to base 14\nAnswer: 10d458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let i(u) = 5*u + 2. Let g(z) = 23 - 5*z - 18 + 16*z. Let c(r) = -2*g(r) + 5*i(r). Give a(c(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 15*r - 2. Let f(h) = h**2 + 7*h - 1. Let v(b) = 9*f(b) - 4*s(b). Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(7) + sqrt(28)\/sqrt(4)) + -2)**2.\nAnswer: -2*sqrt(2) + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5671 less than -5674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/(-4)*-1). Suppose -d*g + 30 = -0*g. Solve 0*x - g = -3*x, -2*x = -4*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449664 is divided by 440.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -4, -0.3, 0.8, 4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -321477545 to the nearest 10000.\nAnswer: -321480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y**4)))*y)\/y)\/(y\/(y\/(y*y\/(y\/(y**(-5\/3)*y*y))*y)))*(y**(1\/4))**(17\/5)*(y**(-4)\/y**(2\/17))\/(y\/y**(-1\/3))**5 assuming y is positive.\nAnswer: y**(-5531\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h\/h**(2\/11)*h)\/h)\/h*h)**(-32))**(-6\/11) assuming h is positive.\nAnswer: h**(5952\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442244081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:46 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*a - 147 + 147 as s*a + f and give s.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-16248.16.\nAnswer: -162481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 16. Let m(q) = 8*q**2 - 25*q**2 + 18*q**2. Give a(m(y)).\nAnswer: y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490774153 a multiple of 1925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-38.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(275) + -2 + 3 - sqrt(275)*2*5) + 5 + sqrt(275)*2 + (sqrt(275) + sqrt(275) + -1*sqrt(275) + 2 - sqrt(275)) + 4)**2.\nAnswer: -840*sqrt(11) + 13623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-8\/5)*i)\/i)\/(i**(-8)*i*i))**(-5\/14) assuming i is positive.\nAnswer: i**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11504805.771948 and -0.3.\nAnswer: 11504805.471948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46570000 rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millennium in years?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 20*u + 86. Let p be k(-14). Solve s - n = 0, -n - n = p*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-308) - ((-17575)\/(-259) + -69) - (-2)\/8.\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*d - 22 = -f, -9 = f - 2*d. List the prime factors of (f - -3) + 4*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - -2 - (-22)\/(-4). Let z = 159.8 - 99.8. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:45 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -145 - (26547 + -26675)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-23 + 23 + -22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/19 or 2\/3?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 258550500 rounded to the nearest one million?\nAnswer: 259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*o**5 + 10*o**3 - 6*o**2 + 6064*o wrt o.\nAnswer: -400*o**3 + 60*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 0.2. Which is the closest to 0.2? (a) 0.1 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3214920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/168)\/(28\/14*9\/(-24)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 24 = -83 - 21 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 687.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2 + 2*d + 2 + (530 + 280 + 361)*(-3 + 3 - d).\nAnswer: -1169*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcppfpfpfdp. Give prob of picking 1 h and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2284 or -2122?\nAnswer: -2122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 5616 - 2828 - 2806 - 2*t.\nAnswer: -3*t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + 27. Let k be q(8). Solve c = -k*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36*(-3)\/(-9))\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/12 and -3\/13028090.\nAnswer: 78168540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - y + 2, -4*k + 3*y + 3 = 8. Calculate the common denominator of -25\/9 and k + -3 + 228\/32.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -17. Suppose j*k + 32 = 6*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*d - 57 = 0, 0 = 2*d + 1 - 11. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2 - 387314*i\/7 - 22132\/7.\nAnswer: -2*(i + 5533)*(35*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 + 0. Let o = 332 + -333.5. Let b = o - i. Which is greater: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 + 0.24. Let h = j - -0.7. Round h to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210202 (base 3) in base 12?\nAnswer: -203b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let t(a) = 4 + 2 + 6*a - 14 + 2 + 5. Let z = 7 + -6. What is z*t(j) + 3*r(j)?\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092455314 to 4 decimal places.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 14. Let c(y) = 5*y - 7. Let u be c(3). Let l be a(u). Calculate the highest common divisor of 42 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p**5\/2 + 4155*p**4\/2 - 464809*p**3\/2 - 3400483*p**2\/2 - 3442591*p - 1976836 = 0. What is p?\nAnswer: -4, -2, -1, 703\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 7*i - 1. Let b be t(-5). Let d = 27 + b. Suppose 5 = 2*r + 1. Solve 4*q = -s + 17, r*q + q = 5*s - d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1483.7 in 1\/3, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119, 101, 95, 107, 143?\n\"Answer: w**3 - 25*w + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120791 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 837258369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005393 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/15 - -14\/45. What is the closest to w in 5, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 88461.15 kilograms?\nAnswer: 88.46115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**4\/4 - 78. Let y(p) = 27*p**3. Calculate 18*k(h) - y(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -31. Let c = 1 + -6. Let a(n) = n**3 + 4*n**2 - 5*n + 3. Calculate the remainder when s is divided by a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 - 220*c - 152. Give l(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.8 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/5 and 14\/185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -1. What is the closest to 0 in -1\/2, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/35*(-105)\/(-45)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 145196150 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**3. Let t(d) = 7*d**2 - d + 1. Let i be t(1). Let b be 69\/21 + (-2)\/i. Let n(a) = -4*a**3. Determine b*f(o) + 4*n(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {j: 2, n: 1, r: 7}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 62*r**2 - 45*r - 30 - 48*r**2 + 21.\nAnswer: 14*r**2 - 45*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*n + 40 = -151*n - 170 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 3346*a**2 - 3360*a + 20088.\nAnswer: 2*(a - 1674)*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 8*a + 13. Let k be p(-10). Find the common denominator of 76\/(-6)*(-24)\/32 and (-266)\/(-49) - 3\/k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -23. Let v(t) = 2*t + 4. Let f(o) = -5*o - 11. Let m(n) = k*v(n) + 4*f(n). Let u(w) = 4*w + 3*w**2 - 4*w. What is u(m(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2 = 4*f + f, -2*g + 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 13*a - 2. Let k be d(-8). List the prime factors of (1 - 0)*(-5 - k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6223\/40 + -16227\/110. Let f = -63\/8 + h. Let j = 6.9 - 5.9. What is the smallest value in f, -0.5, 7, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 + 13*h + 12. Let c(y) = -y**2 - 2*y - 2. Let a(g) = -6*c(g) - t(g). What is a(7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1535.4 + -1535. Sort g, 0.6, -3, 23 in descending order.\nAnswer: 23, 0.6, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 7*c. Let d = -13 - -5. Let a be t(d). Let z = 0 + a. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4016847\/(-573819) + -2*(-14)\/4. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by -4?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 656 + -645. Does 12 divide -12 + 3 - (i - 1184)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1948570132?\nAnswer: 2, 3593, 135581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8129 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.32907 and 0.4?\nAnswer: 0.531628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4))\/2*20\/((-360)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*l - 115, -l = 4*c + 3*l + 108. Let j = c - -30. Let n(t) = 0 + j + 8*t**2 - 6*t**2 + 0*t**2 - t. Give n(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**3\/3 - u**2\/2 + 26*u. Determine d(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*4\/39?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**8\/10080 - f**7\/720 + f**6\/144 + 111*f**5\/20 - 55*f**2 - 3*f. Let q(s) be the third derivative of j(s). What is q(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -20*q - 27. What is the greatest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52046 or 52048?\nAnswer: 52046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*k - 8*k + 35*k + 77 - 17*k - 77 + (-2 + 1 - 4)*(-2*k - 1 + 1))*(5*k**2 - k**2 - 3*k**2).\nAnswer: -45*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 10. Let w = -16 + 37. Let r = w + -18. Which is the nearest to 0? (a) -0.4 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30203199977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 266, 1065, 2394, 4253, 6642?\n\"Answer: 265*f**2 + 4*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2 - 5*i - 8. Let c be o(-2). Suppose 2*r + 34 - c = 0. Let v(u) = 2*u - 1. Let t be v(2). Solve r = x + 2, -t = 5*p + 3*x + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*l + 69. Is 16 a factor of 176 + (-5 - (4 - l))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 136 - 137. Let j be ((-24)\/48)\/(d\/1). Which is the second biggest value? (a) -2\/667 (b) -1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12044 or -12028?\nAnswer: -12044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94109237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -266*u - 625 + 276 - 715 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52030*r - 103966*r + 52006*r.\nAnswer: 70*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -48, -328, -1058, -2454, -4732, -8108, -12798, -19018?\n\"Answer: -36*h**3 - 9*h**2 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16337 minus 826661960?\nAnswer: -826678297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 146 - 35 + (4 - 4 - 2)*(-7 + 7 + 7))*(-1 + 1 + 2)*(-2*u**5 - 2*u**2 + 2*u**2).\nAnswer: 628*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -401531, -401532, -401533?\n\"Answer: -n - 401530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13050888 to the nearest integer?\nAnswer: 3613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:19 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 126653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -19302000 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + l**3 + 3*l**2\/2 + 18*l. Let s be b(-6). Solve 0 = -4*x, 6 = -2*y - x - s*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 2*x, 5*m - 2*x = -6*x + 40. Let l be -3*((-15)\/(-9) - 3). Suppose -233 = m*a + 5*r, 295 = -l*a - 3*r + 64. Round a to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -364 smaller than -4013\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 18) + 1689 + -1709?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(8\/(-320)). Let q be 15\/n + 19\/4. Differentiate -8*o**4 + 3*o**q + 4*o**4 - 5 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*i - 18 = 0, -57*m + 53*m + 5*i = 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-60) - (306\/90 - 3))*32.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -15\/4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18071319 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 1. Let t be (h\/5)\/((-16)\/(-40)). Factor -5*j + j**3 - j + t*j + 2*j**2.\nAnswer: j*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 15*q**2 + 9*q - 3. Let x be y(-11). Let w = 32519\/10 + x. Calculate the common denominator of w and -17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 3, -2, 0.269?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + i + (1 + 2 + 5)*(-27 + 10*i + 27).\nAnswer: 81*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-2578)\/(-703794))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-36\/11)*(q**(-1))**(-7\/8)*((q\/q**(-6)*q)\/q*q**3\/q)\/(((q\/(q*q**(1\/7)))\/q)\/(q**(-5)\/q*q)) assuming q is positive.\nAnswer: q**(1691\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 21. Let r be b(6). What is the second derivative of -194*i**3 - 2*i**5 + 98*i**r + 96*i**3 - 14*i - 20*i**2 wrt i?\nAnswer: -40*i**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-24) + 14\/21?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-1)\/(-3*(-6)\/(-54)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -3, -13, 192, 1 in ascending order.\nAnswer: -13, -3, 1, 5, 24, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -2, 7\/5, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 20602*j + 7445. Is d(72) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**3\/11 + 2666*v**2\/11 + 1904*v + 41632\/11.\nAnswer: 2*(v + 4)**2*(4*v + 1301)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 + -4.899962. Round r to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 2*h**4 + 0*h**3 + h**4 + 2*h - 3*h**3 in the form c*h**2 + x + f*h + m*h**4 + u*h**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1786 greater than -1780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3533 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009759 to seven decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 11:49 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**33*p)\/p*p)\/p**(-8\/3) assuming p is positive.\nAnswer: p**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-74)\/(-10) - 8\/20. Let s(g) = -g**3 + 8*g**2 - 8*g + 8. Let b be s(y). Suppose 0 = c - 2 - b. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 8 + 8)*(x + 0*x + 0*x)*(-18 + 53 + 100) in the form b*x**2 + t*x + q and give b.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 173.94576 months?\nAnswer: 0.1449548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10509, 10514, 10529, 10560, 10613, 10694, 10809?\n\"Answer: p**3 - p**2 + p + 10508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l, -2392 = -3*q - 2*l + 222. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illlliiiiea. Give prob of sequence ll.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (63 + (-42 - 75) + (0 - -8)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3458\/3 - 1153. Which is smaller: -307 or v?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 7 = -4*i. Suppose -4*r + i = -14. Solve 14 = 4*t - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 43.42. Let y = 0.4961 + 0.2239. Let l = y - x. Sort l, -4, -13\/4, 1 in descending order.\nAnswer: 1, l, -13\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2550573 (base 8) to base 5.\nAnswer: 140141422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 = l, 22*u + l = 23*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d + 6. Let a be j(-1). Sort 8, 3, a, -1 in descending order.\nAnswer: 8, 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370644?\nAnswer: 2, 11, 31151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9284 and 330004?\nAnswer: 3630044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 99. Calculate the greatest common divisor of z and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 - 2. Let x(c) be the first derivative of -8*c**3\/3 + 3*c + 310. Give -3*o(p) - 2*x(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15923 to the nearest one hundred.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10147 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63131 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000 - -10011?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2625 - 0.0375. Let z = -7.5 + 8. What is the nearest to -2 in -6, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7 - q - 3 + 2*q - 6. Give h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 30, -5*l + 10000 = -8*h + 9986 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*349*(-4)\/8. Let z = 539 + r. Let l = 26800 + -26724. What is the greatest common divisor of z and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2476290.\nAnswer: -1\/2476290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b5d - 8?\nAnswer: 1b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.2 (c) -3 (d) -0.42 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67 + -168410?\nAnswer: -168477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -50640\nAnswer: 202560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.082, -0.144, 0, -0.2, -11\/5 in increasing order.\nAnswer: -11\/5, -0.2, -0.144, -0.082, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = 4 - 4. Let s = 1.17 - -0.23. Let r = -1.9 + s. Which is the smallest value? (a) r (b) y (c) -1 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6302941 is divided by 6302934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3130, -3815, -4630, -5569, -6626?\nAnswer: -7795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = -32*f + 582 + 244 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -32, -215, -614, -1301, -2348, -3827, -5810?\nAnswer: -8369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w + 0 + 0*w**2 - 1\/20*w**5 - 1\/2*w**3 + 0*w**4. What is the second derivative of o(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985.4316 millennia in months?\nAnswer: 11825179.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -5 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 9*v**2 + 19*v + 9. Let s be b(-11). Let g = -34 + s. Calculate the remainder when g is divided by 0*1\/1 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00243 and 0.574.\nAnswer: -0.00139482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**3 + 12*i**2 - 9*i + 12. Let j(h) = 6*h**3 - 15*h**2 + 10*h - 14. Let p(b) = -4*j(b) - 5*o(b). Let f(v) = v**3 - v + 1. What is -3*f(u) - p(u)?\nAnswer: -4*u**3 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1164312 and -43\/889920?\nAnswer: 139717440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1239845047 and 0.046?\nAnswer: 1239845047.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-25))\/((-105)\/(-50) + 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 116396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2810*m = -3466*m + 656. Factor 3\/4*l**2 + 0*l - m + 1\/4*l**3.\nAnswer: (l - 1)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-1 + sqrt(1053))**2 - (-1*sqrt(143))\/sqrt(11)) + 3)*5.\nAnswer: -85*sqrt(13) + 5310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 423086999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/2 (b) -1\/3 (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.347 - -0.653. What is the nearest to 0.2 in 2, y, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**3 - 14*f**2 - 5*f + 17. Let q(w) = -3*w**3 - 7*w**2 - 2*w + 8. Let o(t) = 4*l(t) - 9*q(t). Let r be o(6). Solve -5*b + 0 = -r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 - 92. Let j = h + -21. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1096*h - 626*h - 19823*h - 7345*h)*(3 + 0 - 3*h - 4) to the form l*h**2 + o + t*h and give t.\nAnswer: 28890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 17, -10, -59, -136, -247, -398, -595?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122325813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -0.4, -0.027131?\nAnswer: -0.027131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -10 - (1 - (-2 + 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:55 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9065010?\nAnswer: 2, 3, 5, 302167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - 2*k)*(-369 - 193 - 1).\nAnswer: -563*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439*o + 7*o + 235 + 211 = 0. Let d be 2\/(-34)*(-3)\/(-9). Which is smaller: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-21)*(30\/(-8))\/(-5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxs when four letters picked without replacement from xxxrrrrsxxxsrxrr?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-33)\/(-18) - 2). Let v(j) = 2*j + 9. Let i be v(s). What is the units digit of 5 + ((-6)\/i)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + l - 3 = 4, -14 = 5*p - 4*l. Let n(w) = -2*w - 1. Calculate n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-120) + 0 + (-14)\/15. Let m be (2\/9*-3)\/(11 - 9). What is the nearest to 182 in l, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4 - -3.49. What is the nearest to -5 in m, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - 2*y**2 + 4*y - 1. Let q be x(4). Let r = -168 + q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5034 + 1.1385. Round k to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 12 + 8. Suppose -f*m + 6 = -4. Which is smaller: m or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.4 + -22. Let p = j + -0.4. Sort 0.3, p, -2\/7 in decreasing order.\nAnswer: p, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6275 by -1255.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 456*s + 1819. What is v(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 3. Let h be 21\/126 + (23\/6 - 1). Let s = t + h. Solve s*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.9, 1\/2, -202, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3355 and 4662779?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -2*z**3\/3 + z**2\/2 - 57*z. Suppose 0 = -w - 2*j - 0 - 3, 5*j + 6 = -4*w. Calculate i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 1, t: 5, j: 4, z: 2}. Give prob of picking 2 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (8 + (-52 - -37)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, 314, 2\/9.\nAnswer: -5, -3, 0, 2\/9, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 1. Suppose -c = -s - p, 0 = s - p + 2. Suppose -3*o = 3*k - 15, s*k = 7*k + 3*o - 33. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**(-3\/2))*o*o)\/o)\/(o**(-5)\/o)*((o*o\/(o**(4\/7)\/o))\/o)\/o**6)\/((o**(-3\/5)\/o**(-1\/6))\/((o*o*o**1)\/o*o)**(3\/8)) assuming o is positive.\nAnswer: o**(3769\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 6*y + 6. Let h(i) = i**3 - 4*i**2 - 8*i + 9. Let s be h(5). Let x be v(s). Let o(q) = q + 6. Let k(r) = -r - 5. Determine x*k(g) + 5*o(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnollllnoojal. Give prob of sequence nj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let s(j) = -j**3 - 11*j**2 - 2*j + 1. Let f(x) = x - 2. Let b be f(-1). Let g(v) = b*o(v) - s(v). Calculate g(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1214, 30, -30, 15.\nAnswer: -30, 15, 30, 1214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.4 + 14. Put f, -4, -1\/4 in descending order.\nAnswer: -1\/4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14036 is divided by 693?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 2 - (-239 + 247)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 8*n**2 + 8*n - 1. Let d be r(-1). Suppose 4*f - s - 280 = 0, d = 2*f - 3*f + 3*s + 81. Calculate the remainder when f is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 2*p + 2*p + 5*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v. Let m(q) be the second derivative of -q**6\/180 + q**3\/6 + 5*q. Let r(y) be the second derivative of m(y). What is r(s(w))?\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 1 in increasing order.\nAnswer: -21, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 4 - 4)*(-2*v - 1 + 1) - 738*v**2 - 765*v**2 + 2*v + 1501*v**2 - 88 - 2 + v**2 + 2 to f*v + s + h*v**2 and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15391.13 centimeters?\nAnswer: 153911300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 27. Sort -2, b, 0, -7.3.\nAnswer: -7.3, -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 2*s - 4. Let k be j(4). Let f(w) be the first derivative of -5*w**2\/2 + 6*w + 2. Let n(p) = 6*p - 7. Give k*n(q) + 5*f(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*s**2 - 11*s**2 - 100 - 3*s + s**3 + 6*s**2 wrt s.\nAnswer: 3*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123331463 + -4?\nAnswer: -123331500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.8 - 58.47. Let l = w + -0.33. Let s = -22 - l. Which is the third biggest value? (a) -3 (b) 1\/6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/49 + -2413\/196. Let r = 25\/2 + k. Which is the biggest value? (a) r (b) 3\/4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5122, -10243, -15364, -20485, -25606, -30727?\nAnswer: -35848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-133) - ((-27)\/(-105) + 6\/(-15)). Which is the closest to 2\/7? (a) -25 (b) k (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (3 + -6) - (-14 + 10 + 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*n = 1622 - 1769 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 252008, 504022, 756056, 1008116, 1260208?\n\"Answer: b**3 + 4*b**2 + 251995*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*d**4*y**2 + 41*d**4 - d**3 - 11*d**2*y**2 + 17*d**2*y + 8*d*y wrt d?\nAnswer: -744*d*y**2 + 984*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-1 - (-3 + 6 + -7)) + -17\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**4 - 9 + 9)*(i + 7*i - 24*i).\nAnswer: -128*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15899 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 60*u - 3. Give o(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-16)\/(-8160))\/((-1)\/(-3))*(-141)\/47.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 33 - 8. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692189 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: Is -11348\/172463 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 309 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6785*w**2 - 74*w + 2. Let b(d) = 199*d. Determine v(b(n)).\nAnswer: -268692785*n**2 - 14726*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/7 + -10\/7. Let i = 48.1 - -165.9. Let q = -214.4 + i. What is the closest to 1 in -5, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -643093\/5 or -128619?\nAnswer: -128619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -28*s - 54. Let y be b(-2). Is 35 a factor of y*((-5)\/5 + 0) - -1553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 40. Is 64\/7 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5)*-2)*-1.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dwxwwxwdwdwxwd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*l + 11 - 1, 4*d = 5*l + 8. Suppose 4 = 5*y - 4*y - 2*h, y = -5*h - 3. Solve m + 1 = 0, o - y*m = d*m - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/603 and -48\/871.\nAnswer: 7839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16526.4 take away -13.7?\nAnswer: -16512.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 208510961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 16.\nAnswer: 141\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334 - 50*m + 647 - 313 - 2*m**2.\nAnswer: -2*m**2 - 50*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2689?\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**14)**(-1\/23)*(y*y\/y**(2\/3))\/y*y**(-8\/7) assuming y is positive.\nAnswer: y**(-139\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k + 10. Let x be (-5 - k\/1) + 8. Let i = -4 - -6. Solve -x*m + 6 = -i*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3)\/p)**(-2\/7)*(((p*(p\/(p**(-3)\/p)*p*p)\/p)\/p)\/p)\/p**(2\/13) assuming p is positive.\nAnswer: p**(1349\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69235?\nAnswer: 5, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (4 - 26) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -48\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2672 + 2683. Let s(o) = o**2 - 9*o + 11. Determine s(l).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2*2\/(-16)). Let w = 363 + -362. What is the smallest value in w, z, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064 < -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*w - 155*w - 163*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4442 is divided by 76?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - (-13)\/3. Suppose 0*v = m*v - 1180. Suppose -v = -4*n - 0*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) 0.1 (b) -4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + -15. Calculate the common denominator of 38\/45 and (111\/(-108) - 1) + j\/44.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 802*s + 655.\nAnswer: 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + x**2 + 7*x**2 + 0*x**2 - 3*x**2 + 6*x**4 - 2 - 2*x to o*x**2 + p + h*x + u*x**3 + n*x**4 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*a - a. Let x = -5 + a. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3671 - 3671.3. Sort 1\/37, p, 0.5.\nAnswer: p, 1\/37, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_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: Let t = 4.6 + -5. Let m = -138 + 686\/5. Let v be (-7 + 6)*1\/(-6). What is the biggest value in v, m, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from trllflltlflltrtltlr?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixkjxjkxjxkixjjxi. What is prob of picking 2 x, 1 j, and 1 i?\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3002, 5986, 8968, 11942, 14902, 17842, 20756, 23638?\n\"Answer: -x**3 + 5*x**2 + 2976*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Let j = b - -4. What is the units digit of 114\/15 + j\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 6*p**2 + 0 + 8.\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 456?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10387 or 10379?\nAnswer: 10379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -407 (base 13) to base 11.\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4030550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11.73, -1\/4, 9\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94645 is divided by 1456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2435780 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10110000001101 (base 2) to base 12\nAnswer: 6639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*y - 210 = 122*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3*v + l**3 + 117207922*l*v**2 + 2298247*l - v**4 - 8 wrt v?\nAnswer: -l**3 + 234415844*l*v - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkh when three letters picked without replacement from kjzih.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 14*c = -51. Find the second derivative of -6 - 1947*p + 76*p**c - 210*p**3 + 1945*p wrt p.\nAnswer: -804*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70216.55 litres to millilitres.\nAnswer: 70216550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 - 6. Let r be t(-9). Let l(q) = q**3 + 5*q**2 - 5*q + 7. Let n be l(r). Is -1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msq when three letters picked without replacement from zqzvvzvvzzvvmvvvss.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1278*d - 8*d**2 + 2569*d - 1291*d.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(14\/3))**(-20)*i\/(i**(2\/5)*i)*i**(-2\/9) assuming i is positive.\nAnswer: i**(3272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/10 + -10*(-2)\/8. Let s = 5 - -6. Let r = 8 + -5. Solve l = -r*p + s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 347, -5, 3423, -3 in increasing order.\nAnswer: -5, -3, 347, 3423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -4. Let r = -9 - -5. Let j = 3.6 + r. What is the nearest to 0.1 in j, q, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 0*l - l)*(0 - 1 + 4) - 4*l + 11 - 11 + 3*l - 4*l + 2*l to u*l + q and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -486\/5*z**2 + 41*z - 1\/20*z**4 + 2 - 18\/5*z**3. Factor w(n).\nAnswer: -3*(n + 18)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43408 and 60?\nAnswer: 651120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22542745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 5767680.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3593, -3592, -3585, -3566, -3529?\nAnswer: -3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from {j: 1, x: 4, y: 2, q: 3, p: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u + 85. Let y = -3 + u. Suppose -2*s + 3*o + 1 = -y, 0 = -4*o - 8. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 794779294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 1. Let f(q) = 9*q**2 + 9*q. Let k(v) = -111*v + 13*v**2 - 4*v**2 - 1 + 16*v**2 + 59*v + 78*v. Let h(s) = 17*f(s) - 6*k(s). Give h(o) - 4*t(o).\nAnswer: -o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 7:12 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -30. Suppose -2*k + 27 = -k - 3*j, 0 = k + 3*j - 3. What is the remainder when y is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2.8792 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b - 64*b - 3 + 3 + 23*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4338 - -4337.97. Which is the nearest to 1\/2? (a) -0.5 (b) j (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 22)*420\/196.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 - (-2 - 1) - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 3. Let f = -17 - -32. Let j = f - 15. Put j, -3, v in decreasing order.\nAnswer: j, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:51 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -298?\nAnswer: 298.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - -25. Suppose 1211 = 81*l + 158. Calculate the highest common divisor of q and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7571753 divided by 7571753?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720830 is divided by 1994.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/569?\nAnswer: -9\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3116 - 326 = 4*s, -1401 = -2*s + 5*j. List the prime factors of s.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + j + 4*j)*(136 - 55 + 28) + 5*j + 2*j + j.\nAnswer: -101*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2113 - -2?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175186 is divided by 1162?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910654 is divided by 227662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*t + 4*x, x + 2*x + 2 = -5*t. Solve g - 3 = 0, -c + t*g + 0 = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 4978*s + 24888\/5.\nAnswer: 2*(s + 1)*(s + 12444)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + sqrt(243) + 1 + -4 + (-3*sqrt(192) + 0)**2.\nAnswer: 9*sqrt(3) + 1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 4*y + 4*y)*(4*y - 2*y + 0*y) + (-2*y + y + 3*y)*(-7*y**2 + 21*y**2 + 2*y**2).\nAnswer: 34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -c735 (base 13) in base 9?\nAnswer: -41756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/57)\/(4\/84)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 13*s**2 - 5*s - 13. Let a be p(13). What is the tens digit of (-1612)\/10*195\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23232 is divided by 862.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2*t + 1. Let o be j(-1). Sort 1, o, 3, 13 in ascending order.\nAnswer: o, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 301 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4*y**2 + 5*y - 4. Suppose -3*u = -0*u. Suppose -v + u = -5. What is z(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*n**5 + 1775*n**4 + 13245*n**3 - 14975*n**2 + 250*n = 0 for n.\nAnswer: -5, 0, 1\/59, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1514 (base 11) to base 14\nAnswer: -9d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v - 374. Give w(3).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b - 7*b**3 - 3*b**3 - 4*b wrt b?\nAnswer: -60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 - -3 - (-133)\/22 and 169\/104 + (-2)\/4 - 6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/9 + 140*s\/9 - 4900\/9.\nAnswer: -(s - 70)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, 0, -3, 1, 415 in decreasing order.\nAnswer: 415, 4, 1, 0.5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t + 4 = 0. Let n be (-2)\/((-4)\/t) - -4. Solve -n*a - 1 - 3*a - 8*a**3 - 5*a**2 - 7*a**2 = 0 for a.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194353.9 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4453032949?\nAnswer: 2063, 2158523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 3*r = -31. Let o be r\/((-426)\/(-216) + (-2)\/1). Solve -9*p - o = -0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992082451.\nAnswer: 257, 1327, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-477)\/48 - -10). Suppose -32 = -28*c + 26*c. What is the highest common factor of m and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.9 + -26. Let v be (350\/(-49))\/((-3)\/7). Let w = v + -16. Put w, 2\/9, q in descending order.\nAnswer: w, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d + 1. Let l(r) = 2*r**2 - 14*r + 25. Let o(u) = 3*f(u) - l(u). Let c be o(-13). Solve 9 + 11 = -c*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**5 + 61*p**5 + 25*p**5)*(29 + 11 - 8 + (-1 - 1 + 0)*(1 - 3 + 3)).\nAnswer: 3000*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.01411 rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128535 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: Subtract 33 from 13636.\nAnswer: 13603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2400) - (3*sqrt(2400) + sqrt(2400) + sqrt(2400) + sqrt(2400)))*-3)\/(3*sqrt(40)\/sqrt(5)*4)*-2.\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3217 - 6*l**2 + 3*l**2 + 4*l**2 + 0*l**2 + 10543.\nAnswer: l**2 + 7326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48248433 divided by -4?\nAnswer: -48248433\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let a = -5.4 - -5. Put 0.3, o, a in increasing order.\nAnswer: o, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2004230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - -0.31. Let i = u + 4.7. Let s be (88\/(-33) + 3)\/((-1)\/(-3)). Sort -2, i, s.\nAnswer: -2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -10.9.\nAnswer: -10.9, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -403, -1198, -2727, -5230, -8947?\nAnswer: -14118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2 - 3*v + 2. Calculate u(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 56, -1\/2, -8499, 3 in descending order.\nAnswer: 56, 3, -1\/2, -4, -8499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = -4*q, 2*q - h + 14 = -3*q. Let z = q + 4. What is the smallest common multiple of -7 - (-18 + 3 + 4 + 0) and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29778*u**2 + 29778*u**2 - 9*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -2022333?\nAnswer: -2022344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 314204, 314192, 314174, 314150, 314120, 314084?\n\"Answer: -3*d**2 - 3*d + 314210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 2. Let o(z) = -z**2 - 7*z + 9. Let t be o(a). Solve -4*k - 18 = -t*v + 6*v, 3*v - 12 = 2*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1579497?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-603*l**2 - 4147*l**2 + 79*l - 159*l + 80*l)*(4 - 5 + 0).\nAnswer: 4750*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 2\/7, -2, 0.1, 73, -84?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1913, -1882, -1949, -2210, -2761, -3698, -5117?\nAnswer: -7114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + 0.21. Let y = -3.0449 - -0.0449. Which is the third biggest value? (a) m (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*t**3 + 366*t**2 + 2034*t - 260.\nAnswer: 2*(t + 10)*(t + 13)*(8*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 12 + 0 = -5*v, 0 = v + 4*o - 12. Let l be -1*8*2\/v. Let j = l + 2. What is the greatest common divisor of 18 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/2 - 2*d**4\/3 + d**3\/3 - 17*d. Determine y, given that w(y) = 0.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 0 - 2*c**2 + 3\/20*c**5 + 1\/6*c**3 - 1\/4*c**4 - 10*c. What is the tens digit of k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -125102197, -125102198, -125102199?\n\"Answer: -w - 125102196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 784956 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15*m**2 - 17*m + 572. Let q(f) = -5*f**2 + 6*f - 192. Determine 17*q(l) + 6*z(l).\nAnswer: 5*l**2 + 168","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 5. Let b(r) = 3*r + 1170. What is -b(c) - 2*h(c)?\nAnswer: -c - 1180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-12)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27613.5 * -223\nAnswer: -6157810.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 16. Let s be (-299)\/(-39) - b\/(-3). Solve 0*y - s = -2*y + 3*x, 6 = -3*y - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1186248*b**3 + 10195107 wrt b.\nAnswer: 3558744*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110253589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five quarters of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 88\/7 and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -47) + 64 + -131 + 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 6*y**2 + 3*y**2 - 6*y**2 + 10*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 + 2964*k**4 + 20444*k**3 - 79156*k**2 + 85104*k - 29360 = 0.\nAnswer: -734, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w - w - w)*(5*w - 4*w + w) + 2*w**2 + 0*w**2 - w**2)*(-2912*w**2 + 655 - 655 + (1 + 2*w - 1)*(2 + 2*w - 2)).\nAnswer: 8724*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 2376?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99.94 - -100.94. What is the fourth smallest value in 1\/4, r, 2\/11, -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -202822600 to the nearest one hundred thousand.\nAnswer: -202800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16056 rounded to three decimal places?\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.02 + 0.02. Let x be (-8)\/(5472\/585) + 6\/8. Which is the third biggest value? (a) q (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 4*p - 5. Let b(a) = -5*a - 17. Let j be 12\/(2 + -4) + 3 + -2. Let x be b(j). Let t be o(x). What is the highest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 10120 = -z + 5*z, 4*z + 3*j = -10125. Let v = 3967 - z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248*d**3 + 189*d**2 wrt d.\nAnswer: -1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-16 - -5)) + 3 + 0 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a century?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*u - 8 = 4*r, -5*u - 20 = 5*r. Put 3, 23, r, 1 in increasing order.\nAnswer: r, 1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2. Let v(m) = -m**2 + 2. Let j(s) = -3*u(s) - 4*v(s). Does 10 divide j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 1503470 + 4*x**2 + 1503439 + 12*x to q + b*x**2 + s*x and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 94 + 358 = 0. Let x = w + 128. Which is the third smallest value? (a) 0 (b) 4\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c + 23*c**2 + 6 + 18*c - 19. Let y be v(13). Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192164, -384326, -576488?\nAnswer: -768650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-30 + 1 - (642 - 644))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101001 (base 2) to base 16.\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from huhhhhhmh?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2255, -4509, -6763, -9017, -11271?\nAnswer: -13525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -210, -551, -1106, -1875?\n\"Answer: -107*i**2 - 20*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70.71932 litres?\nAnswer: 70719.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*p + 80, -3*p + 5*j + 35 = -30. Suppose p = -5*w - 5. Let c(k) = -k**3 - 8*k**2 - 9*k + 8. Is c(w) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/3, -90, -1, -1.6.\nAnswer: -90, -1.6, -1, -1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435 divided by -73.\nAnswer: -435\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 103472 + 10541 = 34635. What are the prime factors of h?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from oxrozfm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (186\/165)\/(4\/(-5)). Let y = k + 1\/110. Let c = 3 - 3. Is y less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/228085 and -119\/390?\nAnswer: 1368510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)\/b*b)\/(b*b**(-3)*b*b))**(3\/16) assuming b is positive.\nAnswer: b**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 301 + -148. Suppose -91 = -2*o + 5*h, 5*h = -2*o + v - 32. Let b = o + -49. Solve b*c = -4*f - 4, 0 = -f + 3*c + 1 + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -3, -1\/33, -25, 542?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 340 = 3*g - 5*p, 5*g - 384 = -4*p. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355 (base 6) to base 12.\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 661 - 656. Let p = 2\/749 - 216\/749. Which is the third smallest value? (a) 50 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000495 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -603 + -310?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1641\/2050, 0.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.82, -2\/19, -2\/5, 95 in descending order.\nAnswer: 95, 0.82, -2\/19, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -29696939584*x**5\/5 + 1217575556912*x**4\/5 - 11849121286713*x**3\/5 - 13095937802943*x**2\/5 + 455976297*x\/5 - 3969\/5 = 0. Calculate x.\nAnswer: -1, 3\/172328, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 1, -2, 5 in decreasing order.\nAnswer: 77, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r + 0*r + 2*r)*(-3*r + 10 - 4 + r).\nAnswer: 10*r**2 - 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + 21*g + 6. Let i be w(-4). Solve -5*s - 15 = 0, -i*s + 7 - 3 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 6*x**2 - 2*x + 7. Determine w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 4*c + 1 - 2*c**2 - 5. Let z(f) = 4*f + 2 - f**2 + f - f - 2*f. Let k = 94 - 96. Determine k*j(t) - 5*z(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from ppopoppo?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 28*l + 1425 = -29*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 616*c + 17167. Determine q(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 5, f: 5, q: 1, r: 5}. Give prob of sequence qxxi.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (4 + (9 - 5) + -6 - 4)) + 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*x + 7. Suppose -2*p - 10 = -5*u, x*p - 35 = 2*p - 5*u. Solve 3*q + p = 3*l - 5*l, 5*l + 3 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -2. Let l = -0.11 + t. Let p = -0.019 - l. Round p to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3)*(0 - 3)\/(-9). Let f be r\/(2 + 3) + 0\/1. Is f at most as big as 4\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32749393.\nAnswer: 83, 394571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -178393.\nAnswer: 34\/178393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6782 and 8.\nAnswer: 27128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3531, 3510, 3489, 3468, 3447, 3426?\nAnswer: 3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.3 (c) 7 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*94\/(78584\/(-190)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78625 by 15725.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 86 - (-1 - -3)*1. Suppose -l = -4*f + 12. Let a be -2*10\/f*-6. What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 13*k + 1. Let h be p(13). Suppose -2*i + 5 = 2*m - h, -5 = i. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9161 - 5789809\/632. What is the common denominator of f and -87\/2212?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7299*k + 2423264. Calculate j(332).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) -3 (c) -8\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokmkkmozzwzw. Give prob of picking 2 z and 1 o.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(288))*-3 + 5)**2 + (3 + 2 + sqrt(288))**2*-1*-1.\nAnswer: -5496*sqrt(2) + 93794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 324707834\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)\/(q\/(((q*q**(2\/9))\/q*q*q)\/q)))\/(q**(-3)\/q**(-5)) assuming q is positive.\nAnswer: q**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(14\/9)*o*o**(6\/7)*o*o)\/(((o\/o**(-21))\/o)\/o**(1\/12)) assuming o is positive.\nAnswer: o**(-3907\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -236? (a) -5 (b) -1\/2 (c) 3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.09. Let m be 288\/(-64) + (-1 - -4). What is the third biggest value in w, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (2*(sqrt(152) + -1*sqrt(152)) - sqrt(152) - sqrt(152)) + sqrt(152))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1048*z + 924. Calculate c(-1).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -8*g - g + 4*h, -6 = -3*g - 143*h + 140*h for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389400093.\nAnswer: 3, 3163, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 6. Let x(n) = -6*n**2 - 323*n - 577. Let o be x(-52). Let m(d) = 5*d + 7. Determine o*m(t) - 6*a(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let x(r) = 386*r - 6944. Let k be x(18). What is the nearest to -11 in s, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13426204 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 704409?\nAnswer: 56352720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56358*m - 51494*m + 111129*m to j + d*m and give d.\nAnswer: 3277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90\/31 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s - 3*s**3 - 2*s**3 - 972915 + 972913 + s**2 as q + a*s**3 + w*s**2 + m*s and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 84433*p**2 + 40.\nAnswer: 84433*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 21. Let q = -9.4 - v. Let k = q + -8. Which is the third smallest value? (a) -3 (b) 0.2 (c) k (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 6)*(-3 + 6). Let f = -13 + q. Let v = 74 - 51. Solve -4*m - 5*l - 24 = 0, 3*m = -3*l - f*l - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 43 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4224*r + 2488. Let f(v) = 80346*v + 47271. Let u(s) = -56*a(s) + 3*f(s). Differentiate u(g) with respect to g.\nAnswer: 4494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 0.03885016?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26a + 2?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - (1 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(342\/(-48) - -7)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3 - 0. Let i be 18\/(-15)*300\/68. Let g = 445\/68 + i. What is the smallest value in l, g, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 4*m - 242, -5*t + 4*m + 1130 = 0. Let v = t - -4. Is v + (-1)\/(-1) + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -66*b - 165 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10357.\nAnswer: 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2862 and 3282174?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.12 - -4. Let m = 4.12 + k. Let n = -0.3 + -0.7. What is the biggest value in n, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 6)\/((-21)\/3 - -8). Solve -2*m + q = p*q - 10, 4 = 2*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v - 153. Let u be x(-23). Let z(s) = s**2 - 9*s + 48. Calculate the remainder when 117 is divided by z(u).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 3980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -49 + -9 + 56 - -24\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**7\/168 + u**6\/36 + u**5\/24 - 11*u**3\/6 - 14*u**2. Let v(c) be the first derivative of m(c). Solve v(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 102 - 1054. List the prime factors of c.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 17*f + 3. Let u be x(-7). Suppose u = 5*c - c. List the prime factors of 0 + 1 + -2 + 1*c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 times 1?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9970.9984446 - 9971. What is z rounded to five dps?\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 9:19 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/336 and 59\/4256.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 + 5*r - 12. Suppose -3*q + 16 = -q. Calculate the remainder when x(q) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 17, 2, -21.\nAnswer: -21, -5, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -48, -80, -136, -222, -344, -508?\n\"Answer: -c**3 - 3*c**2 + 2*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)*f**(-4)*(f**(-2\/5)\/f)**(-32) assuming f is positive.\nAnswer: f**(179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = u, 4*u + 34 = -836*q + 835*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 4. Suppose 12 = -4*d, 2*d + 0*d = -5*y + 604. Suppose 0 = y*s - 120*s - 2. Put s, -5, u in decreasing order.\nAnswer: s, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1182 and 68950?\nAnswer: 206850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 + 2*s**2 - 3*s + 7. Let k(d) = 2*d**3 - d**2 + 2*d - 4. Let a(v) = 4*h(v) + 7*k(v). Determine a(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273*j + 4*j**2 - 150362856*j**4 + 0*j**2 + 150362855*j**4 + 2 to q*j**4 + b*j + u*j**2 + f + t*j**3 and give b.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z = -96*z - 83*z. Sort 3, -396, z.\nAnswer: -396, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/12)\/o*o**(-10))**(1\/4)*(o*o**(-8)*o*o**(8\/5))**13 assuming o is positive.\nAnswer: o**(-14383\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x, 0 = -5*o - x + 887200. Let p = 307440 - o. Round p to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, -564.\nAnswer: -564, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 596 - 420. Let x = d - 171. Solve -x*l + 35 - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -25 - 16 + 5 - 5*a. Let i be s(-8). Solve -i*p = p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + 48. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 + -402 + -2 + 24 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275 is divided by 252.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394337 is divided by 3617.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = 8. Let y be (c - (-58)\/30)\/((-6358)\/55). Let z = y - -27310\/867. What is the common denominator of 43\/28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 88*r\/3 - 1936\/3.\nAnswer: -(r - 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -943 in 1\/9, -0.5, -2\/21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 9202.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -86. Solve 5 = -b + f, -2*f + 2 = -h*b - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**4\/24 + d**3\/3 - 7*d**2. Suppose 2*b = -0*b - 22. Let s(u) = 2*u + 4. Give b*w(i) + 6*s(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-2\/9)*z)*z**(-3\/4)\/z)\/((z\/(z*z*z\/(z\/(z**(1\/6)\/z))))\/z*z**0))**(-13))**(1\/5) assuming z is positive.\nAnswer: z**(637\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, -2, -23, -64, -131, -230, -367, -548?\n\"Answer: -j**3 - j**2 + 3*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*x + 211*x + 7 - 508*x + 1.\nAnswer: -490*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1\/1909, -0.16 in decreasing order.\nAnswer: 13, 1\/1909, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 236 + 271 = -5*g, 3*g + 13 = -4*f - 8 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**22*s*s*s**(4\/5))\/((s**(4\/3)\/s)\/((s\/(s\/(s\/((s\/s**(-2))\/s))))\/s)))**17 assuming s is positive.\nAnswer: s**(5729\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6*x = -x - 2, -5*b = x + 14. Let j(h) = 21*h**2 - 17*h - 9. What are the prime factors of j(b)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -606 - -704. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-17)\/408*-8. What is p in 10\/3*p**3 + a*p - 14\/3*p**2 + 0 = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y + 4*y**2 - 50*y - 49*y + 138*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226 take away -0.68?\nAnswer: 2226.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-3 - (-3 + 0 + sqrt(18))) + ((sqrt(16)*3 + sqrt(16))\/sqrt(4))\/((4*sqrt(50) - sqrt(2)) + sqrt(2)).\nAnswer: -374*sqrt(2)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/3 - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 1\/3*p**3 + 0*p**6 + 0*p**2 + 0 + 2\/21*p**7 + 0*p**4 + 0*p**5 - 3*p. Find the second derivative of d(y) wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96181, 192361, 288541?\n\"Answer: 96180*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 360 + -355. Solve x - q + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 25*p**4 + 814*p + 1140*p**3 - 1635*p**2 - 1 - 344*p + 1 = 0.\nAnswer: -47, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-30 + 11 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9630 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20489 = 3*s, -5*k = 4 - 14. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**8))**(-1\/19)\/(y**18)**(-6\/19))**(1\/30) assuming y is positive.\nAnswer: y**(58\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -95. Suppose s*k = 1 + 14. Suppose -11*f = k*f - 464. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -z - 5283 + 5270, 3*a = 4*z + 29 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(75\/(-40))\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 - 34*k - 122. Let u be s(-4). Solve -5*o - u = -11*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(220) - sqrt(220))*-5)\/sqrt(10))\/((sqrt(44) - sqrt(11))*-4 - (2*sqrt(275) + sqrt(275) - sqrt(11))))**2.\nAnswer: 25\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -n + 40 - 8, -y + 2*n + 13 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7511200 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - -223?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 365538 and 365537 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 = 2*j - 0*c, -4*j = 3*c - 3. Factor -f - f**j - 2*f**2 + 7*f**2 + 0*f - 3*f**2.\nAnswer: -f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 10*r - 13*r)*(0 + 2*r + 0) - r + 2*r**2 + r + (-5*r - 4*r + 3*r)*(-1 + 1 - 2*r).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44 and -0.3?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**2 + w - 1. Let a be g(2). Let j = a - -44. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/97 - -189\/485. Let k = 2.1 - 2. Put k, t, 4 in increasing order.\nAnswer: k, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38291473*h + 60367029?\nAnswer: 38291473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -183 - -2731?\nAnswer: 257b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 5:46 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -36. Suppose 2*m - t = -g, -3*m + 2*g + 2*g + 49 = 0. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*m + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 799*c**3 + 650 wrt c?\nAnswer: 2397*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 8*c**2 - 7*c. Let f be k(7). Suppose 16*g - 3*g - 4121 = f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 11. Let j be z(3). Let k(i) = -431*i**3 + 3*i**2 + 3*i + 10. Let d be k(j). Suppose -10585 = 5*v - d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 3*d - h, -4*d + 79*h = 75*h + 56 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-8 + 1 + (-31 - -32))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 136910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.16 and 20319?\nAnswer: -64208.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 3, u: 3, v: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16069021?\nAnswer: 191, 84131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r = 30*r. Let l(k) = k + 1. Let a be l(r). List the prime factors of 4 - (-2 + a + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f + 120. Let j be l(-8). Solve 14*d**4 - j*d**2 + 37*d**4 - 96*d + 424*d**3 + 42*d**4 - 9*d**4 + 0*d**4 - 396*d**5 = 0 for d.\nAnswer: -2\/3, 0, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/8 + (-1 - -1). Let b be ((-6)\/4)\/((-1)\/2). Let i(a) = 4*a - 2. Let f be i(b). Solve 0*r + d*t - f = -5*r, 0 = 3*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6007 - 3861. Calculate the greatest common factor of 58 and w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3932*k - 586*k + 334332 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*d - 290, -2*d + 10 + 46 = -b. Let n = -58 - b. What is the second derivative of 9*x + 0*x**2 - 2*x**n - 24*x + 5*x**2 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 105*r - 545, 197*r - 194*r - 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12*(-9888)\/618*(-18)\/10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*h**4 - 1818*h**3 + 9*h**2 = 0 for h.\nAnswer: -3, 0, 3\/607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -2*(sqrt(130)*-2 - sqrt(130)))\/sqrt(10))**2 - (sqrt(2106)*1)\/sqrt(2).\nAnswer: -9*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**4 - 99*p**3 - 382*p**2 + 2*p wrt p?\nAnswer: 24*p - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 490*s**3 - 18 - 487*s**3 + 983*s**3 + 7 in the form u + d*s**3 + l*s + i*s**2 and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - 19 + 22 + 4*a**2 + (-2*a**2 + 4*a**2 + 0*a**2)*(2 + 2 + 1).\nAnswer: 11*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 0.2, 3, 4\/51?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 30*m - 44*m + 244*m to the form n*m + i and give n.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from {b: 3, g: 5, c: 1, q: 5, m: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003659116 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 34. Let w = 0 + 11. What is the remainder when q is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73332, -145948, -218550, -291132, -363688, -436212, -508698, -581140?\nAnswer: -653532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 8. Let h be n(10). Suppose -9 = -v - h*v. Solve 4 = -z - v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 4*g. Suppose -2*y**2 + 5 + 2*y**4 + 0*y**4 - g - y**5 + y = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1787, -3591, -5395, -7199?\nAnswer: -9003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**3 + 3*g**3 + 3*g**3)*(11*g - 25548*g**2 - 11*g + 28317*g**2).\nAnswer: -5538*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 28 - 9 = -5*v, 3*v - s - 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11871 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133927 + 80356219\/600. What is the common denominator of 137\/180 and f?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 80, 5 in increasing order.\nAnswer: -3, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - i)*(5*i - 2*i - 4*i) + (21*i - 47*i - 32*i)*(-i - 5*i + 1 + 7*i).\nAnswer: -57*i**2 - 58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 9\/4 (c) 0.08 (d) -41 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, g: 1, m: 3}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*h - 4539 = -4566, 0 = 4*h - 12 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 53 = 5*t, -x + 6*t - 32 = 11*t. Let y(m) = m**3 + 8*m**2 + 10*m + 4. Determine y(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - x**2 - x**3 + (2 - 5*x - 2)*(65*x**2 + 78*x**2 - 11*x**2).\nAnswer: -661*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j = 68*j - 3060. Factor 5\/4*f**2 + j + 30*f.\nAnswer: 5*(f + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003660415036 rounded to 7 dps?\nAnswer: -0.0000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 7630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.41 + -131.59. Let w = 135.3 + q. Which is bigger: w or -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31105939 to the power of 1\/2, to the nearest integer?\nAnswer: 5577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/3 - 26*f**4\/3 + 12*f**3 + 320*f**2\/3 + 256*f\/3 = 0.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -28 - (4 + -5). Let r be ((-8)\/p)\/(1\/(-7)). Find the third derivative of -2*c**2 + 0*c**3 - c**3 + 5*c**r wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -11. Let k(q) = -5*q**3 - 11*q**2 + 12*q**2 - 3*q**r. Calculate k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 2*g - 14. Let t = 38 - 32. Let m be y(t). Factor 25*r**4 + 4*r**5 + m*r**3 + 46*r**2 + 4 + 0 - 3*r**4 + 22*r.\nAnswer: 2*(r + 1)**3*(r + 2)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 239. Suppose h + 0*g - 26 = -g, w*h - 52 = g. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + 11. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 18*b. Let m(v) = v**2 + 7*v + 11. Let s be m(-5). Let q be w(s). Is 23 a factor of ((-80)\/6)\/((-4)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-12) - 153\/68 - (-8619)\/5814\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from mmgggmgggmgttmmm.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1386\/1155)\/(2\/(-20)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5647 = -25*s + 23*s + 5*x, s - 2826 = 5*x. List the prime factors of s.\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -23. Let f(s) = -q*s - 15 - 6*s + 15. Let o(y) = -y**2. Calculate f(o(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10269580 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*l = -164*l. Suppose l*p + 78 = 2*x - 2*p, -4*p = -8. Which is smaller: 39 or x?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 229, 11, 6, 5, 10.\nAnswer: 0, 1, 5, 6, 10, 11, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + (3*-1*sqrt(117))**2 - sqrt(117) - sqrt(117)*1*-4.\nAnswer: 12*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(539)*1 + 3 + sqrt(539) + sqrt(539) + 4 + (sqrt(539) + sqrt(539) + -3)**2.\nAnswer: -63*sqrt(11) + 2175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.081 + -10750942.\nAnswer: -10750941.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -84 - 74) + 3 + -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15295*m + 108*m - 3455*m + 0 + 0 as u*m + t and give u.\nAnswer: -18642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 21*n + 1. Let s = 19 + -9. What is the remainder when d(-19) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 8:11 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 46*p\/9 + 100\/9.\nAnswer: -2*(p - 2)*(p + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 1. Let w(s) be the third derivative of s**6\/120 + s**5\/60 + s**4\/24 + 5*s**3\/6 + s**2. Let a be w(0). What is k(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2330*r - 2331*r = -n - 4, -5*n + r + 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002227 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351*d - 1252*d - 1684*d + 3628*d.\nAnswer: -659*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3852.96 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66288 and 13721616.\nAnswer: 13721616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9152 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:35 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 313?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1641?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11405 (base 10) to base 4\nAnswer: 2302031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvyyvihhi. What is prob of picking 2 h and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*t. Let r be (-2)\/6*t*1. Suppose -6*l + 4*l - 4 = r. Which is bigger: l or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 137*o - 1118. Give u(-7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47760 divided by 3?\nAnswer: -15920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173\/1230 + 5\/123. Which is the fourth smallest value? (a) -2\/9 (b) -3\/7 (c) y (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10637, -42495, -95583, -169895, -265425?\nAnswer: -382167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2\/5 (b) 5\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 4*(sqrt(1700)*-2 + 2 + (sqrt(1700) - (2*sqrt(1700) + 2)) + -3) + -4)*-5)**2.\nAnswer: 114000*sqrt(17) + 6129025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q + 0*q + 0*q - 5 - 5. Let g be t(-3). Is 2 a factor of g*3\/(-12)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007938 rounded to seven dps?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttueuuut. What is prob of picking 1 e and 2 u?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2. Let n(p) = 5*p**3 + 2*p**2 - 5. Determine 4*g(y) + n(y).\nAnswer: y**3 - 2*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -302 divided by -24833\nAnswer: 302\/24833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8*r**2 - 3 + 2*r)*(0*r - r - 2*r).\nAnswer: -24*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191720 + 191720 - 24369*z**2.\nAnswer: -24369*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, -5, 5, 4 in ascending order.\nAnswer: -5, 4, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let h(k) = 29*k + 1. Let o(v) = -h(v) + 2*m(v). Suppose 84*y - 52*y = -27*y + 1534. Calculate the remainder when o(-5) is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 7. Suppose 25 = q + j. Suppose -172 = -4*n - 164. What is the highest common factor of q and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2, -1, 2\/1883485, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -5, -0.4, 2\/5, -238 in descending order.\nAnswer: 2\/5, -0.4, -3\/4, -5, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -7 - (4 - -5 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693060 is divided by 421.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.55 and -0.1.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t + 4. What is the tens digit of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1795148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8157 or -8156?\nAnswer: -8157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let n be (-1)\/1*2 + o. Let r = 259839\/7 - 37120. What is the third biggest value in 0.4, r, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 162 = 39. Suppose 10*f + 365 = 15*f. Let q = m - f. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g + 4*k + 8, 0 = 4*g + 4*k + 8. Suppose 1 = -4*m + p + 15, -4*m - p + 18 = g. Suppose -m*i = -i + 3. Which is greater: i or -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113311235 and 2795.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5070721, 0.3, -23 in decreasing order.\nAnswer: 5070721, 0.3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 11*j - 10. Let n(g) = 5*g - 3. Let y be n(2). Calculate the smallest common multiple of 20 and q(y).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g**3 - 4*g**2 + 744*g - 65351.\nAnswer: -15*g**2 - 8*g + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/83 - -49\/1079. Which is the nearest to 1\/102? (a) r (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-3)\/42*-95. Let x = 30\/7 - u. Let c = 1\/4186 + 52321\/16744. Find the common denominator of c and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-467*g + 467*g - 301*g**3)*(-2*g**2 + 4*g**2 + 0*g**2).\nAnswer: -602*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2413138821 to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -111000100001?\nAnswer: -111000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2664 divided by -6.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40d - 2?\nAnswer: 40b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v**2 - 15 + 3*v - 25\/4*v**4 + 0*v**3. What is the derivative of l(o) wrt o?\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267 + 96 + 138 - (2 - 46).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*p = 2*p - 13, -5*p = 5*c - 50. Suppose -c = -3*g - 0. Let n be (4\/5)\/(2\/5). Put g, n, -1 in ascending order.\nAnswer: -1, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 9 + -17 + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**3 - 8*t**2 - 8*t - 9. What is k(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1189 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4789 + -2931. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -16584*x + 6965279. Calculate b(420).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from eejjjueieeejeeejjje.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {b: 16, c: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/888 and -101\/312.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 14. Suppose -4*b + 2*b + q = 0. What is the greatest common divisor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/86 and ((-4)\/(-6))\/((-2580)\/1044).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91670510 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 859811.5ug?\nAnswer: 859811500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 9*b**2 - 14*b - 102. Determine f(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000328 rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 60 + 14 = 0. Let d be (-98)\/(-12) + (-7)\/42. Solve -5*h - m = -d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/41 and 73\/123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 31 + 5 = -5*p, 45 = 5*n + 2*p. Suppose 3*y = 4*r - 2, -4*y + 6*r = n*r - 49. What is the lowest common multiple of 2\/8 + (-70)\/(-8) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3282949 + -342939.\nAnswer: 2940010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16297*z + 14*z**2 + 17750*z - 34047*z.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-9))\/((-1)\/717). Let k = -30 + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {x: 4, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*m + 4*o + 27 = 0, 2*o = -4*m + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggchcgcgccccgcccc.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -227*z. Let g(i) be the second derivative of 13*i**3\/6 + 918*i - 3. Determine g(b(o)).\nAnswer: -2951*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2444503.\nAnswer: 4\/2444503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (14 + 5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -5434\nAnswer: 21736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 25 = -2*l - 5*o, 5*o = l + 6. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v + 35 = 0. Let b = 10 + v. Let p be 2*-1 + ((-3 - -6) + -3)\/2. Sort 5, p, b in decreasing order.\nAnswer: 5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b + n + 645 = 0, 803 = 5*b + 2*n. List the prime factors of b.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from aqaqaqjqacppqqzaqqpj.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.799 - 0.001. Let d = 9 + x. Round d to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-three quarters of a second?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -110, -26, -4, -0.5.\nAnswer: -110, -26, -4, -1, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 9. Let h be s(12). Let w = -819 - -823. Solve w*r - 7 + h = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = -3*a + 24, 2*a + 5*w = 9. Let c = a + -8. Solve 0 = c*z + x + 3 - 10, -x = -5*z + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 10 - 71*q + 72*q)*(-4 + 2 - 1)*(2*q**2 - 5*q**2 - 5*q**2).\nAnswer: 24*q**3 - 672*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.065 + -0.214. Let c = n - 0.051. Let v = -0.35 + 0.39. Put 2\/13, 2\/5, c, v in descending order.\nAnswer: 2\/5, 2\/13, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053 divided by 6709.\nAnswer: 1053\/6709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(28\/9)*h**11)\/(h\/(h**1\/h)*h**(3\/4)))**(34\/5) assuming h is positive.\nAnswer: h**(1513\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 12:50 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:31 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 13*a - 9. Let h(n) = -n**2 - 6*n - 4. What is 4*c(t) - 9*h(t)?\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, o: 4, j: 1}. Give prob of sequence or.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(22)\/sqrt(2) + -4 + (3 + (sqrt(11) - (sqrt(33)\/sqrt(3) + sqrt(11))))**2.\nAnswer: -5*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -645 - -645.2. Sort 2\/9, m, -2\/9 in ascending order.\nAnswer: -2\/9, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + -621. Let m be d\/(-10) + 2\/5. Suppose 2*y = -2*b + 3*b + m, 34 = y + b. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17*26\/(-7956))\/(35\/21)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4492572 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 130454*o. Let s(z) = -2*z**2. Calculate s(g(m)).\nAnswer: -34036492232*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 21 - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*r + 1904 - 332 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d - 3*d. Let n(q) be the second derivative of -1\/3*q**3 + 0*q**2 - 1\/20*q**5 + 0*q**4 + d - 3*q. Find the second derivative of n(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + j**2)*(-20*j**2 - 21*j**2 + 15*j**2).\nAnswer: -26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4848542*d**3*k**2 + 3*d**2*k**3 + 5740*d*k**3 - 389*d*k**2 - 7*d*k wrt d.\nAnswer: 29091252*d*k**2 + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 16 = 5*u + 3*l, -16*l + 29*l + 16*l = -5*u - 26 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*12\/280*(-4)\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*s**2 - 807*s**2 + 1608*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l + 5*l - 3*l)*(53 - 48 + 146 + 106)*(-l + 2 - 2)*(-4*l**2 + 4*l**2 + l**3).\nAnswer: 1542*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(1\/(-1)))\/((-420)\/(-900))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34338 and 5664.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 41\/2 of a day?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 - 15*u**2\/2 + 250.\nAnswer: -(u - 5)*(u + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9481287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - 101*h**2 - 7*h + 14. Let l(m) = 3*m**3 - 101*m**2 - 6*m + 12. Determine -7*l(z) + 6*n(z).\nAnswer: -3*z**3 + 101*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35 + -367)*(0 + 1\/(-3)). Let l = j - 138. Sort -8, -2, -5, l in decreasing order.\nAnswer: -2, l, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/((110\/15)\/(-22)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 5*m + 4. Let h be g(4). Find the second derivative of 58*k + 1 - h*k + 2*k**2 - 1 wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1733446*m - 25. Let u be s(-9). Let l(z) = -25134*z + 33. Let k be l(8). Let n = k - u. What is n rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - i - 3 = 0, 5*n = -3*i - 1 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 24*c = 92. What is the closest to -1\/30 in 2\/15, -3, c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2*a + 4*a)*(0 + 3 - 25) in the form v*a + j and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3028, -23.5, 0.3, -32, -2 in decreasing order.\nAnswer: 0.3, -2, -23.5, -32, -3028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**3. Let c(z) = -6*z**3. Let l be 1\/(-5) + (-129)\/5. Let a = 21 + l. Calculate a*p(h) + 6*c(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + 5.6. Sort m, 0.4, 1 in decreasing order.\nAnswer: m, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 934847928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14433 + -6177307\/428. Calculate the common denominator of c and ((-9)\/(-5))\/((-88)\/(-55)).\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/180*(-18)\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 + -208. Let d be (-19 + 9)\/(-2*1). Let o be 17\/q + d\/(-30). Is 2\/11 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose -25 - 17 = -u*t. What is the remainder when 41 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1714412 (base 10) to base 9\nAnswer: -3202652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -11*i + 0*i**6 + 0*i**2 + 0*i**7 + 0*i**5 + 0 + 0*i**3 + 17\/56*i**8 - 3\/4*i**4. Find the third derivative of c(f) wrt f.\nAnswer: 2040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3705787.496168 minus -0.1?\nAnswer: -3705787.396168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4730005 is divided by 189200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2178*a**3 + 2455*a**3 - 1413*a**3 + 4890*a**3.\nAnswer: 8110*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-2))\/(-3 + 2). Suppose o = 2*x - 5*x + 6. Suppose x*g - 18 = -0*g. What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16197343*c**3*o + 355*c*o - 2*c - 17*o - 4 wrt c.\nAnswer: -97184058*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272682.\nAnswer: 2, 233, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65 + 3578 - 206 + r**2 + 82*r wrt r?\nAnswer: 2*r + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12*m + 51. Let v be w(4). What is the derivative of v*j - 10 + 118*j**2 - 7*j - 113*j**2 wrt j?\nAnswer: 10*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 + 83.5. Let v(a) = a**3 + 6*a**2 - 14*a + 19. Let j be v(-8). What is the nearest to -3\/5 in 1, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 971 or 12620\/13?\nAnswer: 12620\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22275 = 37*v - 64*v. Suppose i + 0*i - q = v, -3*q + 1655 = 2*i. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 9}. What is prob of sequence qqq?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1739 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1059 - 540 + 10210*h - 519 in the form f*h + d and give f.\nAnswer: 10210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 20. Suppose 5*r + 5*a - 50 = 0, 4*r + r - m*a = 95. Calculate the remainder when 43 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 15*m + 5. Let k be o(15). Solve 3*u = -5*q - u - 41, 5 = -k*q + 5*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 32 = 4*f + j, 5*j = 20. Suppose -b + f = 7. Suppose -b*h + 144 + 74 = 0. What are the prime factors of h?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(5\/4)))\/f)**20 assuming f is positive.\nAnswer: f**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -746000 rounded to the nearest 10000?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 - 1758*y**2 + 8460366*y\/5 - 2344072538\/5.\nAnswer: 2*(y - 3181)*(y - 607)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.3 from -16945.\nAnswer: -16943.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101021 (base 3) in base 14?\nAnswer: aa29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25331 + -25326. Let u be -2*1\/1 + 5. Let b = -0.6 + 2.6. What is the nearest to 0 in b, u, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716778 (base 9) in base 14?\nAnswer: b0bd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5632144, -11264294, -16896442, -22528588, -28160732, -33792874?\nAnswer: -39425014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/(-190) + -19 + 20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104042636 > -104042638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 926080610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(4\/21))\/(1293\/3448)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98812056 to the power of 1\/2, to the nearest integer?\nAnswer: 9940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58\/7*x - 2*x**3 + 2\/7*x**4 - 20\/7 - 54\/7*x**2.\nAnswer: 2*(x - 10)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from lxlllllxllllllx.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561536 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 13*y**3\/3 - 6*y**2 + y - 21. Is 3 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 2*p - 1. Let a be (-5 - -8)*(-1 - (-1 - -1)). Let i(k) = 2*k**3 - 2*k**2 + 4*k + 2. Let w(b) = a*i(b) - 6*v(b). Give w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35399, 70789, 106179?\nAnswer: 141569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-3*26)\/3. Let h(w) = -w + 31. What is the units digit of h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 11*y + 33. Suppose 4*i + 41 = -4*o + 9*i, 2*i + 34 = -4*o. What are the prime factors of m(o)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 16*a + 18*a - 19 - 6*a as r*a + g and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(76)\/sqrt(4) + -1 + sqrt(684) + sqrt(684)).\nAnswer: -12 + 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k + 2*k + 10*k)*(0 + 1 + 1) - 14 - 11*k + 14)*(6 - 2 - 8)*(6 + 1 - 5).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 - 1 + 1)*(0 + 1 + 0) + (-4*c + c + 6*c)*(0 + 2*c + 0) + 0 + 0 - 2*c**2)*(1 + 0 + 0)*(-3 - 5 + 1).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c - 34 = 83 - 857 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 7*l + 3. Let y = -17 - -14. Let f be y + 14\/(-6)*-3. Suppose -t + f = -2. Calculate k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -23. Let m = h - -19. Suppose -5*i - y - 10 = -3*y, -3*i = m*y - 15. Solve 2*d + i*d = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {i: 4, q: 2, z: 10}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, -0.1, 189?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 5*y + 1. Let d be l(-5). Let m be d*(1 - 4) - -39. Suppose h - 99 = -5*i, i + i + 4*h - m = 0. What is the lowest common multiple of i and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 89319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 5245762*n**2\/9.\nAnswer: -2*n**2*(n + 2622881)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2637, 91, -2, -5, 4, -3, 7 in descending order.\nAnswer: 91, 7, 4, -2, -3, -5, -2637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39329 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-36))\/((-5)\/30*3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 727942032.1909.\nAnswer: -727942027.1909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 47. Let y be 22\/(-5) - ((-9)\/1 + 5). Sort 3, o, y, 1\/3.\nAnswer: o, y, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/6 - 2\/6. Let a be (65\/(-80))\/(-13) - ((-102)\/(-96) + 2). Sort a, 1, r in increasing order.\nAnswer: r, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**2 + 2 - 6 - 1. Let i(t) = -4*t**2 - 3. Determine -6*g(q) + 10*i(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207, -215, -229, -249, -275, -307?\n\"Answer: -3*c**2 + c - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -41*c**3 - 20*c**2 - 3*c - 97. List the prime factors of s(-8).\nAnswer: 41, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (483*l - 245*l + 314*l)*(-4*l + 2*l + 9*l - 2).\nAnswer: 3864*l**2 - 1104*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 26. Let z be 1056\/8*3*2\/q. Let s = z - -114. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/7)\/(j\/((j**(-1\/5)\/j)\/j*j*j))*((j\/j**(-2))\/j)\/(j*(j*(j*j**(1\/4)\/j)\/j)\/j)*(j**(1\/3))**(-6)*j**1\/(j**(-1)*j) assuming j is positive.\nAnswer: j**(-83\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let a be -4*(s + 105\/102). Is -1 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 278?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose l = h - j*h + 2, 4*h - 3*l + 6 = 0. Solve h = 5*w + 5*d + 25, -5*d + 17 = -5*w - 6*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-50)*-5)\/((-3)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211957358 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**6\/90 - 691*w**5\/60 + w**4\/36 + 691*w**3\/18 - 8762*w. Factor r(u).\nAnswer: -u*(u - 1)*(u + 1)*(u + 691)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-714)\/27)\/7 - 6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 7*w**2 + 9*w - 8. Let p be r(-4). Suppose 4*n + 1974 = -2*g + 7*g, -p*g = -5*n - 1572. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 11 - 5. Let f = 0 + a. Let c be f\/26 - (-28)\/13. Solve -n = c*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6766188.147327 - -7196237.04802737. Let f = -430030.9007 + r. Let h = 18 - f. Round h to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80116289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.69293 to 2 decimal places.\nAnswer: -2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-5)*(-7 - 234\/(-27)). Solve 30*s - l = 3*d + 33*s, 4*d - 3*s = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*o**3*z + 10*b*o**3 + 2*b*o**2 + 19*b - 4*o**3*z wrt z.\nAnswer: 4*b*o**3 - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 4*k + 218. Let j be (-2)\/(-9) - k\/18. Suppose 2*u + j*f = 23, -12 - 1 = -u - 3*f. Solve 0 = -u*i + 2*v + 12, 7*i - 3*i = -v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41138 (base 10) to base 13.\nAnswer: 15956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -107. Let f(a) = k*a - 7*a - 7*a - 15*a. Let b(o) = -3*o. Calculate f(b(l)).\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Let d(j) = j - 2*j + 0 - v + 4. Let g(z) = 6*z - 11. Suppose -5*u + 4*m - 52 = 114, m = -u - 35. Give u*d(s) - 6*g(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(130) + sqrt(130))*5)\/(sqrt(1440)*2))**2*2.\nAnswer: 325\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 47119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Suppose 0*z = 7*z - 14. Suppose -z = s - 4. Let k(i) = 20*i**2 - 9*i**s - 22*i**2. Give f(k(r)).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let d = -7 - -6. Let j = d + -3. Is j bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101011110010 (base 2) to base 11\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*x - 2*j, j = x - 2*x + 7. Suppose -x*g = -6, -3*t = -5*t + 5*g + 487. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233332 (base 6) to base 9\nAnswer: 111652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 745*o - 749*o - 2*a, -5*a + 56 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 12 - 6*g**2 + 9*g**2 - 14*g - 5*g**2. Let i be u(-10). Let j = -238 + 241. Is j < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 + 5*m**2 + 7*m - 5. Let a(w) = 6*w**3 - 4*w**2 - 6*w + 4. Let b(y) = -2*y + 18. Let c be b(11). Determine c*g(z) - 5*a(z).\nAnswer: -2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 14486543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - ((sqrt(1500) - sqrt(1500)*2) + sqrt(1500)) - sqrt(60))\/((-1*sqrt(72))\/sqrt(6)))**2 - (sqrt(1210)*-2 - sqrt(10))\/((sqrt(24)*2)\/sqrt(12)).\nAnswer: 23*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09603335 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -11 - -2 - (-2 + 2)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + d**4 - 3*d**4 - 2*d + (-17 - 17 + 30)*(-3 + 5 + 0)*(5 - 5 - 18*d**4).\nAnswer: 141*d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:05 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.5 + -3. Let p = -10 + u. Let w = -2684 - -8053\/3. What is the nearest to w in -5, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - 39\/(-15). Suppose -2*m - 2*s + 78 = 0, -2*m + 53 = -0*m - z*s. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44692709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10))\/(288\/160)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 5*u - 3. Let n be o(6). Suppose 3*l - 35 = 5*f + 8*l, n*f = l - 13. Which is the smallest value? (a) 4\/3 (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = s - 248. Suppose 46*t = s*t + 256. Are -32 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 260*n + 23 + 64*n + (3*n - 4*n + 0*n)*(2 - 4 + 0) - 2*n + 0*n + n + (-1 + 3 - 3)*(-2*n - n + n) + 3*n - 2*n + n.\nAnswer: -191*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-208)\/52)\/((-2)\/2*6)*(-375)\/50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*5*((sqrt(405) - (sqrt(405) + sqrt(405)*-1)*6) + sqrt(405) + -3 + -5))**2.\nAnswer: -117360*sqrt(5) + 674569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432714719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -479\nAnswer: -4\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -261, -330, -399, -468?\n\"Answer: -69*w - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*k = 2, -30 + 100 = 5*w - 5*k. What is the least common multiple of w and 318?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.77 less than 10936858?\nAnswer: 10937039.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/339794 and 145\/2610066?\nAnswer: 237516006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/8)\/((-5)\/15)*(-850)\/2040*-8\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 - -30003545?\nAnswer: 30003465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -5 (b) 1\/8 (c) -4\/5 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36927, 295419, 997043, 2363367, 4615959?\nAnswer: 7976387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 w when four letters picked without replacement from jwjww.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*(-12)\/270)\/(8\/(-72)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b. Let p = 7 + 4. Let d be x(p). What is the greatest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/30 and -199\/41040?\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {r: 5, k: 7, f: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 2 - 14 - 4*l + 2*l. Let d be o(9). Calculate the remainder when 5 is divided by -1*(-5 - (d - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*1 - (sqrt(108) - sqrt(108)*-3)\/sqrt(9))*-1)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2076 divided by 4.\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112952*s**4 + 2852*s**3 + 3585299*s**2 + 3*s - 8 wrt s?\nAnswer: -2710848*s + 17112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62885899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144903 + 144895. Let m(v) = 4*v - 1. Let a be m(6). Let w be a\/7 + 4\/(-14). Sort h, 5, w in descending order.\nAnswer: 5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -558 greater than -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 14, 25, 24, 5, -38?\n\"Answer: -q**3 + 3*q**2 + 15*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*w + 32 = 0, -170 + 186 = -2*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - h + h)*(54*h - 30*h - 23*h + 345*h**2) to the form g*h + x + a*h**3 + n*h**2 and give a.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**12*b**(-4) assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -400.46?\nAnswer: 20.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let d be ((-18)\/15)\/((-3)\/10). Let c(u) = d*u - 7*u + 3 - 3. Calculate c(h(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*u - 15, 429*n = 431*n + 3*u - 7. Sort n, -2, -1\/8, -0.1 in decreasing order.\nAnswer: n, -0.1, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559829 is divided by 631.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4548, -4504, -4408, -4248, -4012, -3688?\nAnswer: -3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.08 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9561.34531 to 1 decimal place.\nAnswer: -9561.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -109.053. Let v = -0.053 - t. What is the nearest to v in 0.2, -0.4, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*q - 72*q - 70390 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 63, 33.\nAnswer: 4, 33, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = -252*n - 232 - 534 - 313 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1173\/643507 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2884 + 90.3816. Round b to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000177313 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.785822 years?\nAnswer: 0.02785822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -8932 (b) -3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4532 and -3.3.\nAnswer: -4535.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -97*f. Let d(q) be the first derivative of -10*q**3\/3 - 714. Calculate d(n(p)).\nAnswer: -94090*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22607753.6 rounded to the nearest ten thousand?\nAnswer: 22610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/5*(-62)\/(-248)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r - 3*o, 4 = -2*r - 2*o + 22. Solve 0 = 3*u + j - 6, 4*u - 2*j = -j + r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1451724 and -115\/31472?\nAnswer: 11422164432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-25) + (-1)\/(-5). Let j(q) = -q**2 - 204*q - 9833. Let x be j(-126). Sort b, -1, x, -4.\nAnswer: x, -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {k: 3, o: 4, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311103 (base 4) to base 3.\nAnswer: -120220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8384739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ed01 (base 15) to base 16.\nAnswer: -31543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 26 - 68. Let s = 27 - f. Is (s\/7)\/((-8)\/28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/10 and 103\/140805?\nAnswer: 281610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1823752, -7294988, -16413708, -29179918, -45593624, -65654832?\nAnswer: -89363548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1396764.78\nAnswer: 279352.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 310\/13 + -685\/26. Which is the closest to 0.2? (a) t (b) -1 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162 + 59. Let p be (189 - 145)*2*10\/(-16). Let f = p - x. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/36 and -31\/30432.\nAnswer: 91296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q + 36. Let d be g(4). Solve d = 5*n - 131 + 121 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {c: 5, a: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 348 + -344. Suppose -5*b - 4*r = -3345, -5*r = -2*b - m*r + 1351. Is 38 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-10)*(2 - 2). Suppose -3*q + 5*j + 225 = m, -2*q + 143 = -3*j + 2*j. What is the remainder when q is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -92*z + 20. Let u(m) = -93*m + 23. What is 6*u(v) - 7*w(v)?\nAnswer: 86*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 22, 13, -10, -53?\n\"Answer: -z**3 + 2*z**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*(-598)\/(-884))\/((-1)\/(-2)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 3. Let z(x) = -77*x - 4. What is p(z(o))?\nAnswer: 154*o + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639133.\nAnswer: 107, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = o + o. Solve -3*l - o = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022769889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -5*n - 154 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 7) to base 14.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54341 and -232?\nAnswer: 12607112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from ahaaaaahahaaahphaaaa?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -5*v**5\/12 - v**2. Let s(u) be the first derivative of -1\/3*u**3 - 66 + 0*u + 0*u**2. Calculate s(g(m)).\nAnswer: -625*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v = 134*v + 1589 - 610 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3809*c**2 + 13*c + 23. Is r(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 - -0.11. Let x = -53.0683 + 53. Let j = a - x. Round j to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 13 = -5*k, 0 = -48*b + 45*b + 5*k - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2678*319.\nAnswer: -854282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0254807 rounded to four dps?\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-1)\/(-12)*18. Find the common denominator of -5 + 29*x\/(-54) and -31\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2533641, 5067166, 7600689, 10134210, 12667729, 15201246?\nAnswer: 17734761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1769 = 16*z - 18*z - p, -p - 4440 = -5*z. List the prime factors of z.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180719, -180682, -180645, -180608, -180571?\nAnswer: -180534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -55059 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*t*y**6 - 1971651*t*y**4 - 43255*t*y**2 - 19*t*y - t + 3*y**2 wrt y.\nAnswer: 14880*t*y**3 - 47319624*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37927\/3992 + 3\/3992. What is the third smallest value in w, 4, -0.45?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 268 + 132. Suppose -19*l - l + k = 0. Solve 6*j - l = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5345427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 11*k**2 - 7*k + 31. What is the smallest common multiple of z(-10) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -14875, -183, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 22*r**3 - 6*r**2 - 2*r + 4. Suppose 9 + 1 = 2*b. Is m(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200, 0.5, 0.4, -3\/2.\nAnswer: -200, -3\/2, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2359, 2247, 2057, 1789, 1443, 1019, 517?\n\"Answer: -39*u**2 + 5*u + 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 - -0.2. Let z(x) = x**3 + x - 1. Let a be z(0). Let t = 0.1933 + 0.8067. What is the nearest to a in t, 2\/23, m?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 2\/11 (b) -0.3 (c) 5\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = c + 6. Is c\/(-16)*4*-7054 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (3 + 22 - 48)) + 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 take away -4609895?\nAnswer: 4609899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37366 and 144466?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-16) - 3\/(-12). Let a(y) = -6*y + 2*y**3 + 0*y**3 - 3*y**3 - 2 - y**2 + w*y. Calculate a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 22*k**2\/7 + 52*k\/7 - 32\/7.\nAnswer: 2*(k - 8)*(k - 2)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 56\/5*j**4 + 4\/5*j**2 + 6*j**5 + 6*j**3 + 0 + 0*j = 0.\nAnswer: -1, -2\/3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/((1*sqrt(120))\/sqrt(12)))\/(sqrt(108) - 2*sqrt(108)*-3)*5.\nAnswer: 5*sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -1\/3, 0, -1, 7, -4, 16346?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 316981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18100 is divided by 8102.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/2))**(-7))**18)**(-2\/11) assuming l is positive.\nAnswer: l**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 5*s - 11. Let d be x(-2). Suppose -d*y + a + 31 = 0, 4*y + 2*a - 26 = 32. Calculate the greatest common factor of y and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5*m + 4\/5*m**3 - 2\/5*m**4 + 0*m**2 + 2\/5 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*n + 189, -5*f - 5*n = -0*n - 190. Suppose 5*w = -2*y + 213, y + f = w - 0*y. Suppose 4*d + w = 105. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 6*r = 5*k, k = -3*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*t - 30 = 0, -4*t = -5*w + 3 + 23. Let x(o) be the second derivative of 2*o - 3\/2*o**w + 0 + 1\/6*o**3. Let a(v) = -2*v + 4. Give 3*a(u) + 4*x(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*i - 3*q - 377, 0 = 4*i - 2*q - 486. Solve 0 = 4*p + i - 111 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 - 2 = 4*t, -x + 2*t + 9 = 0. Suppose 5*d - x = 4*d. Let z be 1 + 1*(-1 + 0). Solve z = 2*v - d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r - 1. Let t(g) = g**2 + 3*g - 1. Let n(f) = -6*h(f) + 7*t(f). Let s(v) be the first derivative of n(v). Let j = 8 + -14. Calculate s(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:59 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13526*z**2 - 3013*z**6 - 15680*z**2 + 980*z**6 wrt z.\nAnswer: -243960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*o**2 + 7*o + 691*o**3 - 161*o**3 - 108*o**3 + 660*o**3 + 45*o**2 wrt o?\nAnswer: 6492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 527481 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64964017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 5*g - 4*t - 80, 3*t - t - 38 = -4*g + 3*t + 2*t for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1262430617 and -0.6.\nAnswer: -1262430617.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wsdjjtssjsssj?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44645 - 130?\nAnswer: -44775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2716\/5 or -542?\nAnswer: -542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135872 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(2496\/32))\/(7\/1113)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 355295 and 5.\nAnswer: 355295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 + 4 = 0. Let p be 179 + j + -2 + 6. Suppose -30 = -4*d + p. What is the remainder when d is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (9 - (1 + 28 - 7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -33, -0.5, 5 in descending order.\nAnswer: 5, -0.5, -1, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from jjlllgjalj.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1990825 greater than or equal to -1990823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*t - 404*t**2 - 216*t + 431*t.\nAnswer: -404*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19314130 divided by 9657065.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 24 (b) 0.57 (c) 4 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67354.25 millennia in months?\nAnswer: 808251000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:34 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 1 (c) 97 (d) 0 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4862*j**3 + 2*j - 2429*j**3 - 4*j - 11*j**2 - 2429*j**3 in the form o + v*j + n*j**2 + w*j**3 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 90?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*d - 20779 + 612 = 216*d - 190*d for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.023 + -0.363. Let v = h - 0.114. Let j = -4 + -5. What is the second biggest value in v, j, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.972 + -0.028. Let x = -5 - -4.7. Which is the third smallest value? (a) -0.1 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1934073, -3868150, -5802229, -7736310, -9670393?\nAnswer: -11604478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Let y(v) = -v**2 + 5*v + 2. Let r be y(h). Suppose 4 = q + x, 3*q + r*q + 3*x = 28. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 36. Suppose -25*q - 107 = -x*q. Suppose -4*h + 93 + q = 0. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*f - 2*j - j, -2*j = -4*f + 14. Which is the closest to f? (a) 2 (b) -0.1 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75185*u**2 + 37274*u**2 + 37918*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(13\/(-39))\/(4\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/9*42\/196. Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(2\/87))*s\/(s*s*s\/(s*s**(-9)*s)))**(-6\/11) assuming s is positive.\nAnswer: s**(142\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -5*n**4\/2 + 2*n**3\/3 - 29*n. Find the second derivative of w(h) wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2 + 2084*z + 4152 = 0.\nAnswer: -519, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5\/5 - 3681*g**4\/5 - 1108554*g**3\/5 + 12737202*g**2\/5 + 28785357*g\/5 + 14943279\/5 = 0. Calculate g.\nAnswer: -619, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1405934 - 855.8635166. Let w = o + 857. Round w to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (13 + 17) - -9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Suppose -5*w = -2*p - 2*p + 29, 3 = p + 3*w. Let d(v) = p*v - 14*v + 9*v. Let i(a) = 8*a + 2. Give k*i(f) - 6*d(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 558*n**5 - 3007*n**4 + 4699820*n wrt n.\nAnswer: 11160*n**3 - 36084*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 0*q**2 - 1\/3*q**3 + 0*q + 25. Let k = -7 + 4. Give d(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -989\/115720 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -137.152. Let h = 46.152 + q. Let r = 47 - h. Is -1\/101 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 8.7. Let y = q + 6.72. Let z = -0.02 + y. Which is the closest to 2? (a) z (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 80\/(-12)*-3*(-8)\/(-10). What is the third derivative of -14*q**2 + b*q**5 - 117*q**3 + 117*q**3 wrt q?\nAnswer: 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*k + 0 - 6 - 2*k**4 - 35*k + 7 + 1 in the form j*k**4 + l*k + p*k**2 + f + c*k**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) 3 (c) -0.2 (d) 220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 12*m - 120. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 4, 14, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + 33. Let d = p + -66. Suppose -d*q + 189 = -41*q. What is the remainder when q is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + -2*sqrt(52))*5)\/((1*sqrt(28))\/sqrt(7)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 33*u**2 - 2*u - 68. Determine n(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 - -18?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) 1790 (c) 9 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/2, 2\/9, -1, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29 - 0.2900067. Round y to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 17*g - 15*g - 6, -15 = -5*u + 5*g. Solve -12*f + 2*x = -8*f + 12, 0 = u*f - x + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = 22. Let m = 24 - t. Let y = -17 + m. What is the remainder when 34 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c + 18 = 0. Let v = -2 - c. What is the least common multiple of v and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 524, 4, 0.3?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 21*o**2 - 19*o + 19. Give a(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -740276177 and 0?\nAnswer: 740276177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23525 + -15705. Suppose 3*y + 4*t - 20 = 0, -y + t + 6 = 4. Suppose 2*r + r = 5*o - 11725, 2*r + u = y*o. What is r rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 302, 313, 328, 347, 370?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*(78752\/(-302680) - -1*(-6)\/(-21)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 147\/28*(64\/56)\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:59 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 440022 and 440018 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153434 is divided by 2191.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 58, 114, 202, 328?\n\"Answer: c**3 + 7*c**2 + 2*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11045666 or -11045667?\nAnswer: -11045666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5051.9 * -4\nAnswer: 20207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/(o*o**(-1\/3)))**43*(o**(-5)\/o*o**2)**42 assuming o is positive.\nAnswer: o**(-2692\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 13068*s**3 - 10705884*s**2 - 53203220*s.\nAnswer: -4*s*(s + 5)*(s + 1631)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -202754*a**4 - 889640*a**2 wrt a?\nAnswer: -4866096*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188308054 >= 188308053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 - 656*t**2 - 11264*t - 46080 = 0. What is t?\nAnswer: -8, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glj when three letters picked without replacement from gijicjljljlj.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t**3 + 3864*t**2 + 5176*t + 1728 = 0. What is t?\nAnswer: -2\/3, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -1)\/(195\/4420). Let g be m\/(-442) + (0 - 0). Is g not equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*c + 5*d, -c - 3*d + 1 = -d. Let f(q) = c - q + 4 - 1 - 4. Determine f(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-25 + -5 + 12 - 5)) + 18 + -16?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46220 is divided by 402.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:41 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -67628*u. Let x(z) = -z - 28. Give x(y(t)).\nAnswer: 67628*t - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -2a57454?\nAnswer: 2a57454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 2244.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 71269.67 to the nearest 10.\nAnswer: 71270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 1 - r**2 + 2*r - 5 + 2.\nAnswer: -r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 963876739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a millimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7818.232 millennia to centuries.\nAnswer: 78182.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 - a?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 3, -3900, -7 in descending order.\nAnswer: 3, 2, -1, -3, -7, -3900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -0.8. Let h = m - 0.5. Put 0.4, h, 5 in increasing order.\nAnswer: h, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s*u**4 + 65*s*u**2 + u**4 - 255*u**3 - 2*u**2 wrt u.\nAnswer: -48*s*u + 24*u - 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1432496 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 1.76. Sort -4, 2, 0.4, p.\nAnswer: -4, 0.4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9568*i + 136672 = 437851 + 473829 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, k: 3, d: 1, y: 6}. Give prob of sequence yy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**8\/20160 - d**7\/720 - d**6\/360 + 2*d**5\/15 + 12*d**2. Let n(o) be the third derivative of l(o). Calculate n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1146 + 1149.365. What is w rounded to two dps?\nAnswer: 3.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.1 * 2810690\nAnswer: -53684179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -1\/42*s**4 - 4\/21*s**3 + 7*s + 0 - 3\/7*s**2. Factor k(f).\nAnswer: -2*(f + 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -171. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let u(i) = -20*i**2 + 4. Let d(x) = 5 + 10 - 80*x**2 + 18*x - 18*x. Let z(h) = -4*d(h) + 15*u(h). What is z(n(o))?\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86950 + 11041 + 80349 - 27876 = -2351*l for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 + -2 + 690\/(-46) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388023977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 - 4*r - 2. Let v = -268 - -266. Give s(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -47, -119, -261, -497?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 21809*x + 43622.\nAnswer: -(x - 21811)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 31. Let t be f(-11). Let v be 56*(t + (-12)\/(-8)). Let q = v - -41. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 11) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 12. Suppose 2*h - 1 = x. Suppose h*k - 3 = -k. Which is smaller: k or 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -23. Solve -a = -7*i + 2*i + z, 0 = -5*i + 5*a + 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 46*n - 33. Let t be u(-3). Let g = t - -171. Solve 2*z + 4*v + 2 = g, -z - 4*v - 7 = -0*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 greater than -879425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = 2*l, 4 - 1 = m. Let b be (l\/(-6))\/(1 - (-53)\/(-51)). What is the greatest common divisor of b and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1450, 1465, 1486, 1507, 1522?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and -13.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, j: 1, s: 2, b: 1, w: 1}. Give prob of sequence jk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c**2 - 15*c**2 + 27 + 26*c + 30*c**2. Let h be k(-25). Suppose -4*v + 4*j = -5*v + h, -4*v - 11 = -3*j. Sort 4, -5, v in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3 + 5*d**3 - 2*d**4 - 5*d**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10026 and -4\/8355.\nAnswer: 50130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 2321 + h - 2327 + 2*h**2. Let t(u) = -2*u**2. Calculate t(y(b)).\nAnswer: -8*b**4 + 48*b**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 68*z + 251. Give i(70).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109106 and 1093678?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 715\/6*q**2 + 5\/3 - 160\/3*q**4 - 40*q**3 - 55\/2*q = 0. Calculate q.\nAnswer: -2, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -394 + 391. Which is the smallest value? (a) -364 (b) t (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, -1, -345, -4, -146 in ascending order.\nAnswer: -345, -146, -5, -4, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14377 + -14374. Which is the second smallest value? (a) -1020 (b) -4 (c) 4\/9 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**4 + 0*h**2 + 2*h**2 + 2*h**4 + 9*h**3 + 2*h**4 to the form s*h + q*h**3 + n + r*h**2 + x*h**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3 + 2\/3*m**5 - 2 + 10\/3*m + 4\/3*m**2 + 2\/3*m**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/4 of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 783, 3016, 6731, 11922, 18583, 26708?\nAnswer: 36291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - q - 26 = 0, q + 0*q = -2*l + 37. Calculate the greatest common factor of l and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*l = -320000, 0 = 4*b + 6*l - l - 1280000. Round b to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 63*y + 256. Let j be r(-4). Solve -14 = -2*c - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 83\/346 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -26. Suppose -z*t + 18 = -33*t. Let c(j) = j**2 - 7*j - 10. Calculate c(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let u = 3.744 + 0.256. What is the second biggest value in u, -3\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7655 a factor of 40263900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 3 + 27 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 9, p: 1, v: 3}. What is prob of sequence vvv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohxvowhhvvvlxoxl. Give prob of picking 2 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/13 - 410*i**3\/13 - 408*i**2\/13.\nAnswer: -2*i**2*(i + 1)*(i + 204)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 3, -1.4, -1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -2.79334.\nAnswer: -78.21352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 694134 to the nearest 1000.\nAnswer: 694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-20))\/((-2)\/424). Suppose 3*b = -f + 17, -3*f + 0*b = -2*b - q. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/28 greater than 592\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - -16)*(-2)\/6. Let n be 8\/64*4\/b. What is the biggest value in -2\/11, 1\/5, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 105038 (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/8*(20 - 2). Let o(f) = -f**3 + 10*f**2 - 8*f - 9. Let p be o(i). Which is bigger: p or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56037882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4*c - 5. Let p be i(-5). Suppose 4*a - 1 = 2*g + 57, p = 2*a + 3*g - 33. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(832))\/(sqrt(4) + 3*sqrt(4)*2).\nAnswer: 8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -7) + (1 - 18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 29) + (0 + -2 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 2*j**2 + 8*j**2)*(6*j - 15*j - 11*j) + 3 - 3 - 2*j**3.\nAnswer: -202*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -5, 3, -3 in ascending order.\nAnswer: -5, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**7\/280 - n**5\/40 + 4*n**3\/3 + 8*n. Let u(a) be the second derivative of w(a). Find the second derivative of u(h) wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**3 + 466*h**2 + 572*h + 114.\nAnswer: 2*(h + 1)*(h + 57)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.73 and -150388.\nAnswer: -150399.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45581.\nAnswer: 19, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(2 + -6*(-2 + sqrt(252))**2 - (-1 + sqrt(252) + sqrt(252)*-1 + sqrt(252) + 3)**2).\nAnswer: -7159 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 4*s + 8 - 3*s**3 - 2*s**4 + 27 as m + t*s**3 + c*s + k*s**2 + n*s**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 992 - (-4)\/(8\/(-18)). Suppose m = -10*h + 1443. What is the highest common divisor of h and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(4 + 2 + sqrt(1872)).\nAnswer: -144*sqrt(13) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2521.473 litres?\nAnswer: 2521473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/3))\/p)\/p)**28\/(p**0*p**(-5\/2)) assuming p is positive.\nAnswer: p**(-265\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*l*r*v**4 - 191*l*v - 48*r*v**2 + 95*r wrt v?\nAnswer: -1176*l*r*v**2 - 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4777*n + 31 - 553*n**2 - 29 + 4779*n to the form j + t*n + o*n**2 and give o.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*b + 19 = -4*b, -3*z = -3*b - 3. Solve -i - z = 4*a, -a + 16*i - 15*i = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12619\/3 - -4206. What is the closest to -112 in j, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b)\/b**2 assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(76\/12 + -7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**6\/180 - c**5\/30 + c**4\/12 - c**3\/2 - 3*c. Let x(l) be the second derivative of b(l). Factor x(q).\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16.674 or -34042?\nAnswer: -34042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4 + 1. Let n(t) = -7 - v - 2 - t. Suppose 0 = 4*a + 2*p + 10, 5*a + 49 = 3*p + 9. What is n(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 + 196*g + 585. Give d(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 17*k + 14. Let r be a(6). Solve 6*d - r = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 74. Calculate the remainder when 2\/8*10*10 is divided by n(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 11 = -j. Let c = j - 3. Let z be 450\/250*(-5)\/(-3). Solve c*l - 10 = 3*m - 5*m, -2*m = z*l - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -183, -374, -683, -1098, -1607, -2198, -2859?\n\"Answer: 2*n**3 - 71*n**2 + 8*n - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5 = 4*v, 4*j = 5*v + 33 + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 - 242 - 253 - 182)*(1 + 13*y**2 - 1 + (-5*y**2 + y**2 + 3*y**2)*(-2 + 2 + 1) - 1 + 1 - 2*y**2).\nAnswer: -5380*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 400 = -4*t. Let f = t - 53. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/(-91)*(-7)\/(-1). Let g(f) = -12*f + 516. Let y be g(43). Solve 9*u - a*u - 3 = y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1687830 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -657.855126 and -2.1012?\nAnswer: 655.753926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42854 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from zedeexddeeo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.79 - 0.8. Let y = 0.09 - d. Let g = -20.5 + 20. What is the closest to 2 in g, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 3. Let c = 38 - 38. Suppose -3*a + 2*a = c. Give l(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11184\/10 + (42\/15)\/(-7). Is 26 a factor of s\/12 + -3 + 34\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6928, -1 in descending order.\nAnswer: 4, -1, -6928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Suppose -2*j - j + 33 = g. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398971319 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + 6*(-2*sqrt(152) + sqrt(152)))*-5)\/((sqrt(48)\/sqrt(3))\/sqrt(2) - 1*sqrt(1152)).\nAnswer: -25*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4 + 65*b**3 + 18*b**2 - 8*b.\nAnswer: 48*b + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5064, -10185, -15326, -20487, -25668, -30869?\nAnswer: -36090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3396 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/11 + -4\/11. Let y = -1\/1633 + -22853\/14697. What is the second smallest value in y, -1\/3, -3, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.819241 * 5\nAnswer: 9.096205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:49 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2596806 - 156806. Let s(g) = -g - 3. Let h be s(-6). Suppose -a = h*a - k. Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137\/5 - 954\/35. Let u(k) = k**2 - 4*k - 13. Let t be u(6). Which is the nearest to t? (a) 10 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**6\/30 - p**5\/20 - 33*p. Find t such that s(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(1*sqrt(6)*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*m**3 - 18*m + 18*m)*(-4*m + 4*m + m).\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 68.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:36 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 b, and 1 i when four letters picked without replacement from {v: 4, i: 2, j: 4, b: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5226 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -2*j, 224 + 282 = -r - 3*j + 417 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/3)*r)**(-2\/117))**(-3\/28)\/(r\/r**(3\/7)*r\/(r\/(r\/r**(-8)))*r**(-2\/7)*r*r*r**3) assuming r is positive.\nAnswer: r**(-11696\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*j = -36*j - 41*j. What is the closest to -2\/13 in -5, -0.3, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473650 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(45)*-1.\nAnswer: -3*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 431*h**2 + 27*h + 26. Let a be g(-1). Let b = 1730 - a. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 + 144. Let -2\/3*y**2 + 0 + 1\/3*y**4 + n*y + 1\/3*y**3 = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (875 + 1517 - 757)*(0*v + 3*v - 2*v + (-2*v - 2 + 2)*(-1 + 0 + 3)) as o + l*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 69 - 24. Let i be 8*(f\/12 - 0). Let x = i + -8. Let l(u) = 3*u**2 + 2*u - 2. Let o(k) = k**2 + k - 1. Determine x*o(m) + l(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 5 + 25 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00986969 rounded to five decimal places?\nAnswer: -0.00987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(33) - 4*sqrt(165)\/sqrt(5)) + sqrt(132)*2)*-4)\/(5*(sqrt(275) - (sqrt(275) + (sqrt(275)*3 - sqrt(275) - sqrt(275)))) - 3*-2*sqrt(275)))**2.\nAnswer: 48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36136*g**2*m**2 + 3*g*m**2 + 7925*g - 2*m**2 wrt g?\nAnswer: 72272*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 0 + (-45 - (-82 - -17))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338968 is divided by 6516.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*b - 9669 = -773*b + 24763 + 9224 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/4227 + -300097\/42270. What is the common denominator of i and 113\/322?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8748, -19603, -30460, -41319?\n\"Answer: -s**2 - 10852*s + 2105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 43 = 53 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*b + 38 + 20, -b = -5*s + 145. Suppose -5*k + 3*q = q - 571, -440 = -4*k - 4*q. What is the remainder when k is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-610 - 822 + 34)*(4*t**3 - 4*t**2 - 6*t**3 + 11*t**2) to d*t**3 + p + q*t + k*t**2 and give k.\nAnswer: -9786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54618402*c**2 + 13426288?\nAnswer: 109236804*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.7 (b) 3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u. Let k(n) = 58*n**2. What is c(k(q))?\nAnswer: 3364*q**4 - 406*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.563911 millilitres in litres?\nAnswer: 0.009563911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/12)\/((-1)\/3). Let s = 7 - i. Calculate the highest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 11) to base 12.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5350573134 - -6.75?\nAnswer: -5350573127.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 5*d + 6. Let g be m(-4). Let q be ((-6)\/3)\/(4\/(-14)). Suppose -3*u - 2 = -g*i, -5*u - 3*i + 15 + q = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 - -164. Factor -27*s**3 - 162 - 102 + 1369*s**2 - 12 - 2026*s**f - 840*s.\nAnswer: -3*(s + 23)*(3*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 2*h)*(0*h + 3*h + 2*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/25 + (-6)\/(-10). Suppose 5*y = -5*o, 5*y - 1 = -4*o - 0. Solve -y - 2 = -k*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 3*y**2 + 2*y - 1. Let c be p(2). Let q(n) = n**2 + 7*n - 44. Let a be q(-10). Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 - 152. Suppose 5*h + 3 = -4*v + 14, 0 = -3*h + c*v + 11. Solve 6*o - h*o = m - 13, -4 = -3*m + 2*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.546 and -0.05?\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 13*l - 2. Let o be 3\/(-4) - (-270)\/40. Suppose -5*m = -o*m + 2. Give j(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/60 - 8*q**5\/15 + q**4\/12 + 2*q**3 + 69*q**2. Find the second derivative of j(v) wrt v.\nAnswer: -12*v - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*w - 4*a, -4*w = -2*w - 5*a - 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18244*d + 14 - 14 + 26.\nAnswer: -18244*d + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i - 3. Let t(v) = -4*v**2 + 3*v + 8. Determine -3*t(l) - 8*u(l).\nAnswer: 4*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 10*x + 14. Let z be i(6). Suppose z*y - 78 - 148 = -3*r, 2*r + 2*y - 152 = 0. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 8364456*s - 8364454.\nAnswer: -2*(s + 1)*(s + 4182227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, -20, -550, -1718, -3740, -6832, -11210, -17090?\nAnswer: -24688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -6\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + (25 - (-15 + -18))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46a17 (base 14) to base 10\nAnswer: -172109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41962, -41849, -41736?\nAnswer: -41623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.0866229 rounded to 3 dps?\nAnswer: -102.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29084.14ml to litres.\nAnswer: 29.08414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53093.6 * 5.\nAnswer: -265468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5940*t**2 + 5942*t**2 + 59 + 60 + 346*t wrt t?\nAnswer: 4*t + 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - 4*j**3 - 13*j**3.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-82 - (-11 - (16 + -12)) - 4) + 5 + 1\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 24*q + 22*q + 33*q**3 - 1.\nAnswer: 33*q**3 - 2*q + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 106. Let x = p - -55. Suppose -2*s - 310 = -3*u, -x*u - s + 2 = -320. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 246 (b) 1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13593.\nAnswer: 3, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.5? (a) -10 (b) 6 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30440031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/46 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a factor of 2087379792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dommbbmoomotbob. What is prob of sequence bmb?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Calculate the least common multiple of (-2)\/(-4)*(0 + 6) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - 4*a + 4. Let c(t) = -2*t**2 - 5*t + 5. Let o(b) = 3*c(b) - 4*y(b). Let z be o(4). What is the highest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539, -550, -561, -572, -583, -594?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114468187949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3236 by -179.\nAnswer: -3236\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35341349 divided by -1.\nAnswer: 35341349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293554 = 311*i + 296042 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10183 less than -2.615?\nAnswer: -2.51317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 176. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {s: 12, g: 2, a: 5}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 6 + -5 + 9\/(-3). Put -3, u, -42 in increasing order.\nAnswer: -42, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 93*t**2 + 96*t.\nAnswer: -3*t*(t - 32)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*c, -6*c = -5*b - 4*c + 53. Let a = 4 - b. Let i(h) = h**2 + 6*h + 5. Determine i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 3, g: 1, o: 3, f: 2, z: 1}. Give prob of picking 2 f, 1 z, and 1 m.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84219181 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-16)\/a**(2\/9))**(-11))**3 assuming a is positive.\nAnswer: a**(1606\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 232795853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1226*s**3 - 3 - 1227*s**3 + s - 5*s - 4*s**2. Let b = -8 + 6. Determine c(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 4*d**2 + 0 - 1\/3*d**4 + 0*d + 0*d**3. Let q(o) be the third derivative of o**5\/60 + 8*o**2 + 1. Determine q(n(w)).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + m - 4 - 6 + 5.\nAnswer: 7*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16982 + 17780. Does w = 798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4371*i - 51 = 5*c - 4375*i, 0 = -2*i + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8970*1*(55\/(-22))\/(-5). List the prime factors of 8\/(-56) + u\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(2299) + 3) + (sqrt(684) + -1)**2*-5 + -5.\nAnswer: -3427 + 93*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:51 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywqq when four letters picked without replacement from qqrqwqqrqqyqq.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5662756?\nAnswer: 2, 11, 41, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/157 in -1\/5, 6, -0.1, -3, 7.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50507 (base 10) to base 2.\nAnswer: -1100010101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 5*i**2 - 4*i - 7. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/412092 and 109\/324.\nAnswer: 3708828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 - 2*b**2 - 2*b - 1. Let o be n(-1). Suppose 0 = -4*g - 12, 5*a - 37 = -0*a + o*g. Solve -2*p - 15 = -a*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - -50)*(-13 + 12)\/3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 391 = d - 453, -30 = -5*d + p + 10 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1234 + -18509\/15. Let t(h) be the first derivative of 8\/25*h**5 - 2\/5*h**4 + 0*h + 0*h**2 + 0*h**3 - q*h**6 - 6. Factor t(u).\nAnswer: -2*u**3*(u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 - 5*r**2 - 1940*r**3 + 2*r + 2 - 2*r**2. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/60 - 26\/(-10). Let o be ((-2)\/m)\/(-1*(-8)\/(-1164)). Suppose 5*q - o = -92. Sort q, -2, -1\/2, 3\/7.\nAnswer: -2, -1\/2, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -58\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 95402400 to the power of 1\/2, to the nearest integer?\nAnswer: 9767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 7*g**2 - 2*g - 5. Let o be x(-5). Let k be 3 + (-29 - -2) + -2. Let u = k - o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 4*b**2 - 5*b + 7. Let m be h(5). Suppose 5*s + 4*s = 13*s - 8. Solve s*o - m*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48879 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 75462*v + 528184. Give r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 102, -19, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, -5, -34, -75, -128?\n\"Answer: -6*g**2 + g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 8, n: 4, g: 2, y: 1}. What is prob of picking 1 n and 1 k?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.049 (b) 1 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - c**2 - c. Let u(a) = 250*a**3 + 9*a**2 + 2*a. Give 2*j(t) + u(t).\nAnswer: 246*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 24*c - 27*c - c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6574690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f. Let l(h) be the third derivative of 33*h**5\/20 + h**4\/6 - 12*h**2 + 15. Give l(a(j)).\nAnswer: 1584*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -26. Let v(u) = u - 2. Let p be v(o). Let f(n) = -2*n**3 + 7*n + 7. Let w(t) = 2*t**3 - 6*t - 6. Determine p*w(q) + 6*f(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 3. Let n be b(6). Suppose 0 = -5*t - 3*f - n, -5*t - 2*f + 4 = -6*f. Which is bigger: -2\/17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = g - 3*m - 29, -3*g + 5*m + 106 = 0. Let k = -3932 - -3959. What is the greatest common divisor of g and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1584506 times -8?\nAnswer: 12676048","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2966 is divided by 716?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**5 - 12788*w**4 + 10341412*w**3 - 192529724*w**2 + 505390984*w - 323189888 = 0.\nAnswer: 1, 2, 16, 1589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 33440*x**3 + x**2 - 37*x + 39. Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/15 of a minute?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 - 61 = 5*b + 4*h, 3*b - 25 = -2*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850 - 2*j**2 + 850.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*z + 14 = -z, 4*z = -2*d - 10. Let j = -7\/23 + 3\/161. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 15400 and 16656 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19780*f = -20091*f - 20526 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106971 and 3801?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z - 158. Let t be v(-18). What is the highest common divisor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -5. Suppose 0 = 4*y - 6 + 2. Let d be (y*o)\/(84\/(-8)). Which is the biggest value? (a) d (b) 5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*c - 2 = -c, 0 = -4*c - 16. Suppose 0*j + 2*j - n = 0. Suppose -17*g - 8*g + 8 = -42. Solve g*v - 3*r = -3*v - 10, -j*v = -5*r - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1522 and 119.97.\nAnswer: -1402.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-912)\/(-171))\/((-4624)\/(-51))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36746596 divided by 2279.\nAnswer: -16124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 1)\/(46 - 35) + (-1 - -3).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1630\/60 - 2\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from iiviiifiiqoqfi.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 280071310 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-120)*-45*6\/(-180)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 2, l: 1, k: 2, h: 3, p: 2}. What is prob of picking 1 l and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aau when three letters picked without replacement from aua.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0814161 litres in millilitres?\nAnswer: 81.4161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i**(3\/7))\/(i*(i*i*i**(-1\/5))\/i*i**(2\/9)*i)*((i*(i*i**1)\/i*i*i)\/(i**3\/i))**(-3\/8) assuming i is positive.\nAnswer: i**(-4213\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 5\/11 (b) -3 (c) 5 (d) -4 (e) 17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -117.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 0. Let h(p) be the third derivative of p**6\/20 - 4*p**2. Suppose -2*q = 3*q + g + 15, 0 = 5*q - 2*g. Let j(d) = d**3. Give m*j(a) + q*h(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.35 - -0.15. Let l = -7 - -6.98. Let y = l - -0.32. What is the second biggest value in y, -3, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 206, 407, 608?\n\"Answer: 201*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(-145)*(-20)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789710 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -1054?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 1468*q**2 - 70 + 1462*q**2 + 55.\nAnswer: -6*q**2 - 10*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013185 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4028*s**2 - 145*s + 1384. Is p(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v - 22. Let q be a(6). Suppose 2*x = q - 14. What is the remainder when (-1*1)\/(x\/258) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 25*f - 10. Let c be l(13). Suppose 7*i = c*i - v + 56, 3*i - 42 = -3*v. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -2 - ((-8 - (-13 - -6)) + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -299*c + 298*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 12*c**2 - 120*c**2 + 441*c**3 + 2 + 36*c**2 wrt c.\nAnswer: 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14366054 to the nearest integer?\nAnswer: 3790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 45 = 4*h. Let s(o) = -6 + 2*o**3 + 4*o - 2*o**3 - 9*o**2 - 3*o + o**3. Let c be s(h). Solve -r + 20 = -5*r + f, -c*r + 4*f - 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 42. Let n = 2 - k. Is -12\/5 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1789188 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149872 and 2964.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -393, -918, -1839, -3288, -5397?\nAnswer: -8298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 55. Let q be h(-4). Suppose 3*j - 5*p - q = 12, 0 = 2*j + 5*p + 5. What is the lowest common multiple of j and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*p**2 + 39*p**2 - 12*p**2)*(-87*p - 73*p + 47*p - 106*p).\nAnswer: 7665*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 256*q**2 - 5*q**3 + 256*q**2 + (4*q - 4*q + 2*q)*(2 - 2*q**2 - 2) + 4*q**3 + 0*q**3 - 5*q**3.\nAnswer: -10*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/1730, -0.01 in increasing order.\nAnswer: -0.01, 3\/1730, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -1 + 1 + 2. Suppose 8*i = -8*i. Suppose -7 = -3*b + 5*v, i - n = b - 5*v. Solve -3*t = -2*t + b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1556339.\nAnswer: -7781695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 4*s - 3 - 9, -p - 14 = p - 2*s for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19508 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 7:18 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Let h(f) be the first derivative of -3 + 5 + f - 1 - 3. Let s(o) = -h(o) + m(o). Let w(z) = -4*z**2. What is s(w(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -30. Let 5*h**q - 2*h**2 + h**2 + 2*h + 2*h**3 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.6 - -15. Sort k, -0.1, -2.\nAnswer: -2, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169.1 + 220. Let t = 51 - f. What is the fourth smallest value in -1\/2, 2\/15, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (0\/1 - -10). Suppose -4*x - 4 = 5*r - 23, 9 = 2*r + 3*x. Solve 3*q + 4*a = -6, 8*a - p = 4*q + r*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - 36?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 + 7295. Let z(g) = 2*g**2. Give a(z(f)).\nAnswer: -16*f**4 + 7295","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(209)*1)\/sqrt(11) + 1)**2 - (6*1*sqrt(2736) + sqrt(2736) + sqrt(2736) + -2))*1.\nAnswer: -100*sqrt(19) - 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.79 and -20.\nAnswer: -19.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 (base 11) in base 8?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 657*h**5 + 82788*h**4 + 2768697*h**3 + 10124682*h**2 + 9871020*h + 89304 = 0. What is h?\nAnswer: -61, -2, -2\/219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 4:20 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.9325 and -1.6.\nAnswer: -14.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmaammmamm. What is prob of picking 2 m?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*q + 2 + 3*q - 3*q - 1 - 598*q**3 as i + p*q**3 + g*q + r*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l + 427 + 266 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 617240933 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 16 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2, 2*z + 168 = -4*u + 172. Let t(k) = -k**2 + k - 13. Determine t(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -2.7. Let h = -42 - -41.6. What is the nearest to 1 in k, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {v: 2, s: 2, f: 3, p: 6, g: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*106\/159. Let u(l) = -4*l + 19. Suppose 4*p = 16 + 8. Let j be u(p). What is the closest to m in -0.4, j, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -675?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + 0*q**4 + q**4 + 0*q**4 - q**4 - q**4 + (-4 + 1 + 1)*(-3*q**4 + 2*q**4 - q**4))*(4*q - 6*q - q) - 21 + 37*q**5 + 21.\nAnswer: 34*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*c = 123*c - 108 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 2*y + 1. Let g(o) = -o**2 + 6*o + 6. Let x be g(7). Calculate i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 2*v**2 - 7*v + 3. Let y be l(3). What is the hundreds digit of 2952\/y*(-4)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167090341 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(18))*2 - (sqrt(90)*-1 + sqrt(90) - sqrt(90))\/sqrt(5))**2 + 0 + -5*-4*sqrt(108)\/sqrt(6)*6.\nAnswer: 166 + 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.3 - -35.7. Let z = -41.1 + j. Round z to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**2 + 16*d - 17. Let t(i) = 3*i**2 + 6*i - 6. Let z(o) = 17*t(o) - 6*v(o). Let m(g) = -8*g**2 + 17*g. Determine -6*m(k) + 17*z(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 948.071613 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 24 = -6. Calculate the remainder when 52 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + u - 2, 4*u + 4 = 6*u. Suppose -2*z - 2*z + 8 = o. Suppose -z*p + 4*k + 200 = 0, 0 = -4*k + 1 - 13. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-5226))\/(7\/21). Let t = 2490105040 - 30364340883005\/12194. Let o = u + t. Calculate the common denominator of o and 13\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (7 - -6 - 41).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*f**2 + 265*f**2 - 69*f**2 - 65*f**2 - 80*f**2.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 37. Let s(z) = -z - 3. What is -m(c) - 4*s(c)?\nAnswer: 6*c + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2251*n - 2273*n = -176 + 22 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -13*b + 2659. Calculate the highest common factor of 25 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041*a - 107996 - 61030 = -4081*a for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Suppose -k + 8 = -l*k. Suppose -n = -0*n. Put k, n, -5 in descending order.\nAnswer: n, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 9:06 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257746441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20662 + -20650. Solve 0 = 3*p - 15 + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*l + 7*l - 7*l)*(-2 + 2 - 2*l + 2 - 2*l - 2 + 2*l - 3*l + 2*l + (2 - 1 + 1)*(3*l - 4*l + 0*l)) + 0*l + 0*l + l**2.\nAnswer: -124*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*(v*v**(-6\/11)*v*v)\/v)\/(v\/(v*v*v\/v**(-13\/4))*(v**3*v)\/v) assuming v is positive.\nAnswer: v**(383\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z*z**16)*z\/z**(1\/70)*z assuming z is positive.\nAnswer: z**(-911\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)*-5 - 2. Suppose 4*o - o = 0. Let i be (-1 - (o + 0)) + 2. Sort i, h, -2.\nAnswer: -2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5743, 46, -17.\nAnswer: -17, 46, 5743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, -11\/6, -84\/73, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = s - 5*j, 0 = -s - j - j + 160. Suppose -5*o + 2*o + s = 0. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77567 less than -283617805?\nAnswer: -283695372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*q - 2 - 153*q + 65*q.\nAnswer: -10*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -336, 2, -1, 937, 0.2 in decreasing order.\nAnswer: 937, 2, 0.2, -1, -336","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(171))\/((sqrt(108)*1)\/sqrt(12))*4 + (-5*(-1 + 4 + 1 + sqrt(684)))**2.\nAnswer: 1240*sqrt(19) + 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326830777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*g + 34 = -6, -2*s - 2*g - 2 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5289308 is divided by 151123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 278737.79 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3570 and 105?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 129*h - 1021. Calculate m(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxffffx. What is prob of sequence xxf?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.591153 meters in millimeters?\nAnswer: 5591.153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10080288, 10080287, 10080286, 10080285?\nAnswer: 10080284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r + 8. Give o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:33 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 125?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, o: 1, v: 1, c: 11, z: 3}. What is prob of picking 1 z and 1 c?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 1403 = 847. Let b = 754 - c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -19853, -39703, -59553, -79403, -99253?\nAnswer: -119103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + -3 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*c + 12, 4*p - 3*p + c - 8 = 0. Suppose -6*s = p + 2. Is s at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -44617.\nAnswer: 9\/44617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 - 55. Let r(q) = -4*q**2 - 27. Let x(b) = -5*r(b) + 3*w(b). Let v be x(0). Let k = -29 - v. Is k less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -423\/20 + 10119\/460. Calculate the common denominator of b and 101\/54.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-16)*(7 + 5). Sort 4, 0, a.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*2\/(-15)*-5. Let x(b) = -6*b**2 + 8*b**g + 6*b**2. Let n(t) = 2*t**2. Determine n(x(i)).\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from llkeblvlvllllke?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftfffytfffyy. Give prob of picking 4 f.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -3, -4525, -0.044?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -11 - (8 - 9)) + 3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2552 + -2549. Suppose 2*d = 4*v - 12, 2*d + 16 = 4*v + v. Solve -5*k + 13 - d = g*w, -4*k - w + 13 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -30059 in descending order.\nAnswer: 3, 1, -30059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -528, -516, -516, -534, -576, -648, -756?\n\"Answer: -d**3 + 19*d - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35250269 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2) + sqrt(5) - (sqrt(500)*-1)**2.\nAnswer: -500 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-27))\/(3\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -683*n - 6151. What is q(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76359 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6731.\nAnswer: 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/141107 and -83\/174.\nAnswer: 24552618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 8 = -2*k + 2, -5*k = -5*b + 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8695 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636987 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t = -18. Suppose 2*r = -t*m + m + 13, 3*m - r = 10. Differentiate f + 6*f - m - 4*f wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 - 10*p - 19. Let r be m(-4). Sort -1, 3, r, 21 in increasing order.\nAnswer: -1, 3, r, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*h + 20 = 0, -2*o + 4*h - 16 = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10 + (4\/(-2) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by -141?\nAnswer: -280\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 21*w**2 + 3*w + 20. Let m be q(-21). Is -1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t**(-4))\/(t**8*t*(((t*t**(3\/7)*t)\/t)\/t)\/t*t) assuming t is positive.\nAnswer: t**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32304, 126458, 282464, 500322?\n\"Answer: 30926*c**2 + 1376*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -92160 divided by 2304\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10\/h)**(31\/2))**(2\/5) assuming h is positive.\nAnswer: h**(279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 867064545?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755511 is divided by 26047.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2. Let x(t) = -287105*t**2. Give x(j(u)).\nAnswer: -10335780*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1964 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-48)\/81) + 3. Let s be 17\/(-3) - 22\/(-33). What is the third smallest value in -1, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -90, -83, -72, -57, -38, -15?\n\"Answer: 2*u**2 + u - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 7*g**2 - 4*g - 4. Suppose 108*c - 119*c + 55 = 0. Give k(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -433576?\nAnswer: -433576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = 2*d, -5*d + y + 1 = 9. Let p(h) = h**3 - 15*h**2 + 1. Let u be p(15). Put 0, d, u in descending order.\nAnswer: u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40719 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**3 - 66. Determine q(4).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*p = 212, b - 3*p = -0*p - 91. List the prime factors of ((-120)\/b)\/(1\/180).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1224 and 4545696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23865138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10857491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7224.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3) + sqrt(12)) - (sqrt(325)*2)**2.\nAnswer: -1300 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1ab44 (base 12) to base 11\nAnswer: 27878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -125808868, -251617736, -377426604?\n\"Answer: -125808868*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76527 - -401903583?\nAnswer: 401980110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185267 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 25817435?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -n - 5, n - 3*i + 0 = 11. Suppose 67 + 13 = 4*b. What is the highest common divisor of b and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/115, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/117 and 30\/481.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/(-55)*(-21)\/144 and -79\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*c**3 + 147*c**3 + 94*c**3 + 101*c**3 - 808*c**3.\nAnswer: -278*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 572660581 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 27, 32, 33, 30, 23, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1\/n)\/n**6)\/(n*n\/n**(1\/5)*n**(-3\/2)))**35 assuming n is positive.\nAnswer: n**(-441\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27573, -51315, -75057, -98799, -122541?\n\"Answer: -23742*z - 3831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -12\/55 (b) 0.7 (c) 2\/27 (d) -2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 3*l**2 - 2*l + 3. What is the units digit of m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54413564*g*j + 15007*g + 2*j + 6953 wrt j?\nAnswer: 54413564*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (-5 - (-245 + 238 - (-1 - 0)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.2 - 8.46.\nAnswer: -70.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -11. What is the first derivative of n - l*n - 5 + 0*n + 3*n wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 122, 95, 48, -25, -130, -273, -460?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 + 3 = -l, 0 = -4*l - 4*p + 20. Let g be 0 + 2 + l\/(-14)*-348. What is the greatest common divisor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3965 + 371*a**3 - 116*a**3 - 117*a**3 - 3970 - 107*a**3.\nAnswer: 31*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*f - 24*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6887.\nAnswer: 5\/6887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j + 29. Let o = 18 + -14. Suppose 3*d = o*d - 14. What are the prime factors of i(d)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**5*w - 297*o**3*w - 314*o*w - w - 1 wrt o.\nAnswer: -20*o**3*w - 1782*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/1633 and -133\/1278.\nAnswer: 29394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4816626694?\nAnswer: 2, 11, 17, 12878681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 6*sqrt(288)*2*2 + ((-1 + sqrt(288))*-2 - -3*sqrt(288)*3))*-5)**2.\nAnswer: 93000*sqrt(2) + 6919825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1141, 1149, 1159, 1171?\n\"Answer: m**2 + 5*m + 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626433 (base 7) to base 3.\nAnswer: 12111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1214, 5752, 13616, 24806, 39322?\nAnswer: 57164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -830.6 times 5040\nAnswer: -4186224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.47 or 15.44?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001 (base 2) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {i: 1, q: 2, a: 2, y: 5, n: 1, r: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78\/11*s**2 - 20\/11*s - 50\/11 - 32\/11*s**4 + 16\/11*s**3.\nAnswer: -2*(s + 1)**2*(4*s - 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l + 67 + 721 = -232 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272\/170 - (2 + -7 - 0 - -5).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g**2 - 11*g - 71. Let m(v) = 3*v**2 + 2*v + 14. Let y(f) = 22*m(f) + 4*t(f). Differentiate y(d) with respect to d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3984?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65693.86 + -73423. Let z = 7794 + j. Let r = z + -64. Round r to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/3 - (-5 + (-574)\/(-110)). Let o = q + 311\/165. What is the second smallest value in -5, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4 + 15*d - 35 - 13 - 37. What is the hundreds digit of t(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9258 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 54 + 66. Let d = -21 - w. What is the greatest common divisor of 12 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4716.\nAnswer: 1\/1572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 448 + 432. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 7*d**2 + 10*d - 7. Give g(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (1 + 1)) + -3 + 5 + -11\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -50.62?\nAnswer: 15.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (640\/(-144))\/(21\/1134*-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = -4. Let o be (-1 - -2)\/(t\/2). Let c be ((-24)\/(-30))\/(o\/10). Put -2, 1, c in decreasing order.\nAnswer: 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (2\/(-6))\/(4\/(-156))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-2 - -1) - 5) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-6*(-3)\/6. Suppose -15*w + 321 = -939. Let t = w - 85. Sort -6, t, -3, c in ascending order.\nAnswer: -6, -3, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/2 - 48) + 2 + -5. Let o = s + 49. Solve 3*q + o*q + 15 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9362651 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 1. Let f(l) be the second derivative of -3\/2*l**2 + 4*l**3 - 156*l + 0. What is -2*f(c) + 7*x(c)?\nAnswer: 8*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.113, -5, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 662.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 49. Let u be l\/4*6\/5. Suppose -16 = -2*t - 4*z, u*z - z = 5. Solve -c = a - t, a = -2*c + 5*a - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-9 - (4 - 6)) - 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 35.896?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 18*p + 27.\nAnswer: 3*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/((-3)\/(-6)). Find the third derivative of 5*d**3 + d**2 + a*d**2 - 3*d**3 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -121080?\nAnswer: 121086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -849 - -848.9999999822. What is l rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d - 159. Let o(v) = 3*v - 41. Let k(y) = 2*i(y) - 9*o(y). Give k(-8).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -3\/5, -243688, 2\/5.\nAnswer: -243688, -3\/5, -0.06, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 136907*m - 2190267. Calculate r(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/7 and -49\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5861939 - 2307939. What is c rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2214 - -0.22. Round b to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 - 1\/3*a - 1\/6*a**2.\nAnswer: -(a - 2)*(a + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 175\/88?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - v + 19. Suppose 27 = -6*l - 9. Is t(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**4 + 2*z**3 - 174*z + 11714. Let y(w) = -16*w**4 + 15*w**3 - 1224*w + 81997. Let d(x) = 15*q(x) - 2*y(x). What is the derivative of d(a) wrt a?\nAnswer: 8*a**3 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -3*a**3 - 2*a**2 + a. Calculate the remainder when d(-3) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and 20\/417?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = k + 2*r, 5*r - 1 = -3*k - 17. Suppose -3*s + k = -0. Sort -2, s, -1\/5 in ascending order.\nAnswer: -2, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2. Let t(x) = x + 5. Let l be t(0). Let v(p) = -p**2 + 4. Give l*b(a) - 2*v(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72000352 or -72000349?\nAnswer: -72000349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.214533ns to days.\nAnswer: 0.0000000000026066496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + -1 - (-4 + 3)) - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 3*t - 6 + 9*t**2 + 3. Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31451 - -1?\nAnswer: -31450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*j*x**2 + 11893*i**2*x**3 - 2*i*j + 5*i*x - 2*j*x**3 - 2*j*x - 2*x**3 wrt i.\nAnswer: -2*j*x**2 + 23786*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 20 and -347860.\nAnswer: -347840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 1855697. Let p(n) = -2*n. Determine p(v(k)).\nAnswer: 6*k**2 + 3711394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-32) + (-10670)\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 255. Let l = g - -286.1. What is l rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + 7.7. Let t = 9.999962 - q. What is t rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -72*l - 8178. Determine v(-115).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1038, 1203, 1502, 2001, 2766, 3863, 5358, 7317?\nAnswer: 9806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - 3 - (12 + -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 35*b**2\/2 - 350. Let j(a) = -345*a**2 - 3 + 348*a**2 + 3. What is j(t(k))?\nAnswer: 3675*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 18. Determine u(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.11 + -1.01. What is the fourth smallest value in 1, z, -5, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/19, -3\/4, -51 in descending order.\nAnswer: 2\/19, -2\/7, -3\/4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.144 - -390.856. Let u = 396 - i. Let n = 1\/24 + -3\/8. What is the nearest to u in -5, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3)*-1*(-6)\/24.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -421 - -900. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 14*z**2 + z + 1. Determine t(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 102777*h + 205550.\nAnswer: (h + 2)*(h + 102775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625a (base 12) in base 5?\nAnswer: 4313214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + ((-312)\/10)\/(-3) and 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.7? (a) -158 (b) -0.3 (c) -1.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1455 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 1\/20*j**5 + 0*j + 0 + 0*j**3 + 0*j**4 - 2*j**2. Let u(l) be the first derivative of l**3\/3 - 6. What is u(q(n))?\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:47 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5780 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*sqrt(16)\/sqrt(8) + sqrt(2) - ((1*sqrt(162) - sqrt(162)) + sqrt(200)*2))**2.\nAnswer: 46*sqrt(2) + 1059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 4, 2, 3, 0, -53 in increasing order.\nAnswer: -53, 0, 2, 3, 4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 254184787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 12 = 2*w. Let m be (-27)\/w + (-6)\/12. Let k(o) = o**2 + 3*o + 1. What is k(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2643 or 3302?\nAnswer: 2643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2768*r. Let u(q) = 8672*q. Determine u(s(d)).\nAnswer: -24004096*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 321 + 622 - 1219 - 3551 - 1871 in the form y*h + p and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {j: 2, k: 2, x: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = -95. Let m be (28\/12)\/7 + n\/6. Solve 2*g = -z - g - m, 0 = -5*z + 4*g + 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8130130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 19.\nAnswer: -63\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:19 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -26. Suppose b*a + 25 = 13*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 86*m + 27*m.\nAnswer: -59*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = -5*q, q = -4*d. Let u(z) = -z**2 + 10. Let y(v) = 29 + 43*v - 3*v**2 - 43*v. Let w(f) = 17*u(f) - 6*y(f). Give w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.12 + -1.22. Which is the closest to 2? (a) p (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nunwywwwuv. Give prob of sequence vyn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 5, -5850 in descending order.\nAnswer: 168, 5, -5850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 11*k**2 - 3*k + 15. Let x(m) = -2*m**3 - m**2 - m - 1. Let d(l) = -r(l) - 6*x(l). What is the remainder when d(2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b + 3. Let z(d) = -2*d - 2. Let p(f) = -w(f) - z(f). Let c(r) = 2*r. What is -c(t) + p(t)?\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/50*5)\/(1\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 756.82 from -319625.67.\nAnswer: -320382.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.433 - 93.733. Let f be 3\/(-6) - (-1)\/4. What is the second biggest value in -0.46, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1399 = 115*p + 19. Solve 2*d - 2*h + 4 = 6, -3*h + p = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.044 + -0.044. What is the closest to 0 in -7, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(-4)\/(-14). Suppose -2*r - 3*r = -15. Let h be -1*(-1 + r + -2). Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 1\/2*j**2 + 1\/6*j**3 + 0 - 2*j. Let o(h) = -10*h - 11. Give 2*o(w) + 22*t(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 146\/12 - (-365)\/438. Suppose -n = 5*o - 13050, 11 - r = -2*o. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 62*c**2 - 1078*c - 77. Is t(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23258122*j**4 + 3*j**2 + 1325817?\nAnswer: 558194928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8971*m. Let r(k) = 12*k**2. Determine r(s(y)).\nAnswer: 965746092*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 7*p - 8. Let j be ((-18)\/24)\/(1\/(-8)). Let r = j + 0. What is i(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:42 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.95 and 400222?\nAnswer: 380210.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4214 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -125*a**4 - 6450525*a**3 - 39987770*a**2 + 35086500*a - 7223720 = 0.\nAnswer: -51598, -7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/((-8732)\/(-703)))\/(((-3)\/(-4))\/3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6535943, -13071880, -19607817?\n\"Answer: -6535937*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 + a**4\/2 + a**3\/2 + a**2 + 18*a. Let k(t) = -t**3 + t**2 + t. Determine 3*k(g) - y(g).\nAnswer: -2*g**3 - 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 - 2*q - 585 + 2961*q**3.\nAnswer: 2961*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -202.6?\nAnswer: 192.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 4454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 0.4 (c) 7 (d) -20 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 142*r**2 + 167*r - 1654. Let u be z(72). Let d(v) = -v**2 - 6*v + 4. Let j be d(-6). Solve 2*m - j = -u*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*b, -182*b = -186*b - 18*f + 88 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 + 499 = -23*x + 60*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 2*p + 4*p)*(-p**2 - p + p) - 2*p**2 - p**3 + 2*p**2 + 18 - 18 + 41*p**3 + (5 + 0 + 2)*(p**3 - 1 + 1).\nAnswer: 46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131236 and 12.\nAnswer: 393708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173362 + 346716 - 173354 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:40 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10381 + -10360. Which is the second biggest value? (a) m (b) -26\/15 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162570493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**9\/1008 - k**8\/280 + 2*k**3\/3 - 2*k**2. Let d(i) be the first derivative of h(i). Suppose d(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*6*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.108, -0.0341, -3\/2, 2\/5?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 2 + -2 + 87. Let u = i - 10. Calculate the highest common factor of u and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t = 0. Let n be (t\/1)\/(-3 + 2). Do n and 3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Let h = l - 1. Suppose r - 5*r = 3*w + 3, -35 = -5*r + 4*w. Solve h = s + r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11385 and 33741.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, 0.07063503.\nAnswer: 0.07063503, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*m + 890 + 22555, 0 = -x - m - 7814. Let y = x + 11679. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6322466 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/4 + 8*r**3\/3 - 9*r**2\/2 + 5*r + 6. What are the prime factors of l(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 0, 2*p + 4*m + 11 = -11. Let j = p + 5. Solve 3 = f - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 7:51 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 + 1403512*p - 2807040 = 0.\nAnswer: -350880, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 1180*l**3 - 160586*l**2 + 3971880*l - 22659912 = 0. What is l?\nAnswer: -306, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5 + 184*c**4 + 3644*c**3 - 27056*c**2 + 42434*c - 19208 = 0.\nAnswer: -49, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - -117?\nAnswer: fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 987, 4009, 9297, 17055, 27487, 40797, 57189, 76867?\n\"Answer: 34*b**3 + 929*b**2 - 3*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s**2 + 12*s - 17. Let n be t(-7). Suppose 0 = 5*m + 10, o + 8 = -0*o - 2*m. Let q be -1 + (-3)\/((-21)\/o). Is n at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 3. Let y(l) = 3*l**2 + l - 2. Let u(b) = -4*i(b) + 5*y(b). List the prime factors of u(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - -2*(sqrt(720) + -3))**2 - -4*sqrt(720)*-4.\nAnswer: -624*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(30) + sqrt(480) + sqrt(30))\/sqrt(10) - (-1*sqrt(3) + -3 - sqrt(3))) + (sqrt(3) - (sqrt(243)*1 - sqrt(3))) + 3)**2.\nAnswer: 12*sqrt(3) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(0 + 0). What are the prime factors of (-1 + j)\/(5\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3302?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5.2*-17\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -123a6 + 76?\nAnswer: -12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 + 2 - 3 + 1.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 8, r: 3, f: 4}. Give prob of picking 1 i, 1 q, and 1 r.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1757*z**2 - 10324*z + 9. Calculate n(-6).\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/8 + 5\/8. Let q(l) = -l**3 - 5*l**2 - 5*l - 2. Let r be q(-4). Suppose -4*z + 0*z + 26 = -2*n, -8 = -r*z. What is the biggest value in o, 3\/5, n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 3. Let i(r) = r. Let c(v) = 2*i(v) - 2*q(v). Let m be c(1). Let p(l) be the second derivative of l**4\/6 - l**3\/6 - l**2\/2 - 12*l. Give p(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2019, 3770, 6687, 10770, 16019?\n\"Answer: 583*w**2 + 2*w + 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.492 and 4.\nAnswer: 5.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2. Let z(k) = -51*k - 1. Determine z(y(c)).\nAnswer: 408*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/21, -19, 3, 2\/9?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 98 + 2*j**2 - 197.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 + 8*v. Suppose t = -14*t - 45. What is the remainder when u(t) is divided by (-4)\/6 + (-8)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40030 - 10557. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -16. Let g = z - 4. Let m(l) = 3*l - 1. Let v be m(2). Solve -5*y - v*o = -30, 2*y = g*y - o - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**2 - 1366775*v - 5197520 wrt v.\nAnswer: 6*v - 1366775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1735 and 144606004.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -734.99 (b) -141 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 19*x + 40. Let j(c) = 2*c - 10. What is j(x)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -248367*p**2. Let l(x) = -6*x + 3. What is l(i(d))?\nAnswer: 1490202*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v. Let r(y) = -y + 6. Let t be r(5). Let f(p) = 3*p. Let z(m) = -m. Let a(o) = 2*f(o) + 5*z(o). Let l(j) = t*s(j) - 3*a(j). Give l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/25 and 19\/18091?\nAnswer: 452275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 15. Let m be o(9). Suppose 124 = 2*h - 4*s, 3*s = m + 6. Suppose -2*c = -48 - 0. Calculate the remainder when h is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796000 rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 + 0.1. Let c = -1.4 - y. Put -2\/5, c, 0.7 in descending order.\nAnswer: 0.7, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1593, 1594, 1595, 1596, 1597, 1598?\n\"Answer: f + 1592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 112574?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 5)*(-3*h + 0*h - 3 + 1)*(-3 - 1 + 3)*(-6 + 3 - 3) + h - 4*h + h in the form j*h + b and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3775*h + 97456 = -2316*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + g**4 - 2*g**4 + (-2*g**2 + 6*g**2 - 2*g**2)*(3*g**2 + g**2 - 2*g**2) - 2*g**4 - g**4 + 5*g**4 - 2*g - 4*g**3 - 3 + 4*g**3 + g**4.\nAnswer: 5*g**4 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -5. Let p = 5 - 5.4. Put p, -2, r in increasing order.\nAnswer: r, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8960 divided by 8.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17081.79 - -0.13438289.\nAnswer: -17081.65561711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 9*o**2 - 3*o + 5*o - 18*o**2)*(0*o + 4*o - 7*o) + 5*o**3 + 6*o**3 - 4*o**3 to i + f*o**3 + r*o**2 + s*o and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -431 + 414 + (-20 - -1) - 9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = 3*b + b. Let f = -189\/4 - b. What is the third biggest value in 1\/3, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 0*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 5) to base 2.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - a**5 + 0*a**5 + (-4*a**3 - a**3 + 4*a**3)*(3*a**2 + 4*a**2 - 5*a**2) + (-38 - 7*a**3 + 38)*(-3*a**2 - a**2 + a**2)*(-8 + 28 + 3).\nAnswer: 482*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 54*o**2 - o - 1. Let t(v) = -v. What is 2*n(d) - 2*t(d)?\nAnswer: 108*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 27 - 2*r + 27 + 2*r. Let s(w) = 40*w**2. Calculate b(s(m)).\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -25.33. What is z rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 2944 + j**2 + 10*j - 2937)*(3*j + 2*j - 7*j) as v*j + d*j**3 + h + x*j**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 10*r = 5*l - 45, 0 = -5*r - 4*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 95256794 to the nearest one million.\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 422749392 and 3439?\nAnswer: 3439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 11*n - 240 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n - 31*n - 352 = 0. Suppose 10 = 2*h - 2*y, -2*y + n = 5*h - 2. Solve 0 = 4*r + 5*i - h, -r + 4*r - 6 = -2*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 9*i**2 + 8*i + 113. List the prime factors of k(33).\nAnswer: 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.05 and 135.\nAnswer: -2976.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + -43. Which is smaller: h or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 0*c**3 + 0*c**6 + 0*c**2 - 29*c + 0*c**7 - 13\/3*c**4 + 0 + 0*c**5 + 6\/7*c**8. What is the third derivative of k(r) wrt r?\nAnswer: 5760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:39 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330543 is divided by 115?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-36))\/((-6)\/(-18)). Let g(t) be the first derivative of -3*t**2 + 60*t + 23. Let j be g(10). Is j > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*u - 2*y + 13, -y - 13 = -4*u. Calculate the smallest common multiple of u and (11 - 10) + 1 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/88)\/((-3525)\/(-376)).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 6*t - 9*t**3 - 12*t**3 + 62*t**3.\nAnswer: 41*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2620 + 6120. Round b to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 609, 598, 587, 576, 565, 554?\n\"Answer: -11*v + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 358858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 14*q + 2. Let b be c(7). Suppose -b*o = 4*u - 5*o - 28, -u + 2*o + 7 = 0. What is the least common multiple of ((-3)\/5)\/(u\/(-70)) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/33*29094\/520. Let q = 3\/55 + c. Calculate the common denominator of -55\/72 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 12*j - 4. Let b = -34750 + 34757. Give h(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 12. Let v(r) be the first derivative of r**3 - 3*r**2\/2 - 4*r + 2280. Calculate v(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2 = -3*n + 17, -t - 19 = -16 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - k + 64 = y, -5*k + 110 = 5*y. Suppose 3*g + 2*h - y = 0, 2*g = -2*h + 10 + 4. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -11. Suppose -2*r + 2*t - 4 = 0, 0 = 3*t - l*t. Let s(q) = -q + 2. List the prime factors of s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (2 - 1) - 1. Let n be (-224)\/36 + d\/(-9). Let h = -4 - n. Sort 1, h, 5 in descending order.\nAnswer: 5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86382707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.826394372 to 3 dps.\nAnswer: -9.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 + 14*i + 65.\nAnswer: (i + 5)*(i + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 916594269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1696*x - 416*x**2 - 864 + 376*x**2 + 53216*x**3 - 1192*x**2 - 52832*x**3 - 2*x**5 - 38*x**4.\nAnswer: -2*(x - 2)**4*(x + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*z - 1123*z + 1423*z + 1256*z + 1528*z.\nAnswer: 3747*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2 (b) -1\/9 (c) -1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 - 4 + 4 + 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 1304, 4650, 11300, 22388, 39048?\nAnswer: 62414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/(6993\/37))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(2520\/4)*4\/(-6)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-110) + (-3)\/15)*(62 - 3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 106, 216, 328, 442, 558, 676, 796?\n\"Answer: y**2 + 107*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1638\/49)\/13*3598\/3855?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 32 - 55 - 271. Solve -7 = -16*h + c*h + 2*u, -2*h = 6*u + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 11:17 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 - 0.1. Let c = -3695\/1092 - -992\/273. Sort k, c, 6, 0 in descending order.\nAnswer: 6, c, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 10. Suppose -2*z = -0*z + 14. Let w(p) = -3*p - 7. Let m be w(z). What is the highest common divisor of m and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-32)\/(i**9*i**3)*(i**(-2\/9))**(3\/8)\/(i**(-9)*i**2) assuming i is positive.\nAnswer: i**(-829\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -17 - (-14 + 9) - -4 - -35.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 6:24 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 46\/3. Which is the biggest value? (a) -5 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -17355*o - 86766. Determine b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100010100 + -1001100?\nAnswer: 1110011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 41*i = -48 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 8*r**2 + 12*r + 13. Suppose 3*k = -2*k + 45. What is the units digit of w(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(1\/2))**(-17)*(n*n**0\/n)**12)\/(((n*n**(-2\/5)\/n*n)\/n**(1\/7))\/(n**(-1))**(2\/71)) assuming n is positive.\nAnswer: n**(-213637\/4970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -17 + 10 + -6 - (-13 - -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 37. Suppose 4*h - x*b = -4, 3 = 5*h - 4*b + b. Let t(u) = 3*u + 5*u**2 - 7*u**2 + 0*u + h*u**2 + 2. Give t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 55. Let t(p) = -2*p**2 - 18*p. Calculate t(r(f)).\nAnswer: -8*f**2 + 476*f - 7040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44592671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13072 - 649*m - 13072)*(-7 + 0 + 1).\nAnswer: 3894*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.35. Let g = -130935 - -130933. Which is the biggest value? (a) -8 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/7 - 67\/7. Let m(v) = 5*v**2 - v. Let k be m(-1). Suppose -4*o - 13 = -5*s, -2*s + 3*o = s - k. Sort s, l, 0.2.\nAnswer: l, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*28\/15 - 6. Which is the third smallest value? (a) d (b) 8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80295803*x + 823652802 wrt x.\nAnswer: -80295803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than or equal to -10970839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2745 is divided by 2737.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v + 103. Calculate m(-20).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(5)*-2 + sqrt(5)) + sqrt(20))\/(-5*sqrt(10)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 - 3. Let c(w) = -w**2 - 3*w - 3. Let t be c(-3). Let f(r) be the second derivative of 3*r**5\/20 + 2*r**2 + 52*r. Give t*f(a) - 4*d(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93567957.\nAnswer: 3, 7, 43, 103619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(3\/((-6)\/4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = 24. Suppose n = m - 28. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 781, 3049, 6829, 12121?\n\"Answer: 756*w**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22 - (2 + 1 + -3). Let f be ((-33)\/z)\/((-6)\/8). Solve 2 = 4*w - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(95) - 1*((sqrt(95) + 1*sqrt(95) + sqrt(95) - sqrt(95)) + sqrt(95)))\/(2*sqrt(20)*1) + 3.\nAnswer: -3*sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 94188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 + 20?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141*h + 411*h + 971*h + h - 4*h + 2*h + (-1 + 1 - 2)*(0 - 2*h + 0) - 5*h + 2*h - 1 + 2*h.\nAnswer: 1525*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123544.3 centimeters in micrometers?\nAnswer: 1235443000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35635*j**2 - 29955*j + 2 wrt j.\nAnswer: 71270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81232.01nm in centimeters?\nAnswer: 0.008123201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1378.4 from 17.9.\nAnswer: 1396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5472672 and -22\/14121.\nAnswer: 49254048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7536, 7527, 7512, 7491, 7464, 7431, 7392?\nAnswer: 7347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/7))\/(j\/(j\/(j\/(j*j\/j**(-17))*j))))\/(j\/(j**(-29)\/j)*(j*j*j**(5\/11)*j)\/j) assuming j is positive.\nAnswer: j**(-1157\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/h*h\/h**(-3\/19))\/(h**(-1\/15)\/h*(h*h**(-10))\/h) assuming h is positive.\nAnswer: h**(21823\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 - ((2 - 2) + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7335 and 3.\nAnswer: -22005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*((-3)\/4 + (-2)\/8). Solve -2*s + j = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -230424 or -230423?\nAnswer: -230423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 136. Calculate the remainder when 14 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.9. Let u = g - 1. Let n = 24 + -23. What is the third biggest value in n, -3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - y - 9. Let z(j) = 2*j**2 - 5*j - 8. Let l be (-14 + 2)\/(-2) + -2. Let a be z(l). List the prime factors of n(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20290338 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j**(-4\/5)*j*j))*(j*j**(-3\/8))\/j)\/(j**(1\/5)\/j)**(-4))**(-16) assuming j is positive.\nAnswer: j**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4257\/774)\/((-9)\/(-6)*1\/(-3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(1\/1))\/((-24)\/72)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3093 is divided by 218?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1014714, 2029522, 3044320, 4059102, 5073862, 6088594?\n\"Answer: -i**3 + i**2 + 1014812*i - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/16296 and 17\/280.\nAnswer: 81480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4248, 6408, 8568?\n\"Answer: 2160*l + 2088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w, 34 = k + 2*w. Let z = k - 11. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -144887*v - 11301187. Determine l(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 4, 0.12, 2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 12*n + 12. Let z be y(-7). Let x = z - -96. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/(-2*(-1)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -141041 (base 5) to base 11\nAnswer: -4377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4211028 and 2788?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2575759 - 13*s + 31*s - 20*s + 2575612.\nAnswer: -2*s - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 0 + 2*w**4 + 1 - 4*w**4 + 1 to j + i*w**4 + b*w + u*w**2 + y*w**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 14. Let i be (-4)\/(-1) + (v - 8). Which is smaller: -12 or i?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1773 + -1094. Find the common denominator of 33\/80 and -1 - (r\/(-280) + 3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -3\/8 (c) 6645 (d) 2\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12635793 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4\/9)*c*c*c\/(c\/(c\/(c**(-19)\/c))*c))\/(c*c**(-2\/3))**(1\/51) assuming c is positive.\nAnswer: c**(3586\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 2914776.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 592930 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -3*s. Differentiate k - 4 + 2*k + s + 0 wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 12*r + 3*f, -8*r - 1 = -9*r + 5*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + 1330*f - 695*f - 642*f + 72*f**2 to l*f**2 + g + n*f**4 + p*f + y*f**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 16*j**2 - 22*j + 21. Let o(m) = m**3 - 8*m**2 - 11*m + 10. Let l(q) = -3*a(q) + 7*o(q). Give l(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*s + 56*s + 39. Suppose -2*g = -4*d + 58, s + 18 = d + 5*g. Solve -d = -3*v + 7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2073058153 + 2073072719.29987. Let r = a + -14566. Let z = -0.3 + r. Round z to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.22, -1\/3, 34, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8738.532g in nanograms?\nAnswer: 8738532000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from {j: 1, t: 1, p: 1, z: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -3*w**4\/4 - 7*w + 103. Let a = 12 + -15. Let i(h) = 3 - 2*h**3 + 4*h**3 - h**3. Calculate a*y(v) - 7*i(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 114, 138, 176, 234, 318?\n\"Answer: r**3 + r**2 + 14*r + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/367286523 and 77\/944586.\nAnswer: 2203719138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478638 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42a0 - 0?\nAnswer: 42a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 109*t + 1419. What is s(21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from add. What is prob of sequence dd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, t: 7}. What is prob of sequence oott?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -685 - -687. Which is the nearest to -1? (a) z (b) -3 (c) 0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufneuxm. What is prob of sequence fm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 1\/6*q**3 - q + 4*q**2 + 0. Suppose 3*b + n + 8 = -11, 2*b + 2*n + 18 = 0. Determine u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19798*g**6 + 2*g**3 - 2*g**2 + 75314 wrt g.\nAnswer: 2375760*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = -21*w + 1535. What is the remainder when 257 is divided by w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3027 - -42327\/14. Find the common denominator of z and -95\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -610 + 439. Are -173 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 at most as big as 4623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9173 is divided by 341?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 12*j**3 - 27 + 3*j - 3*j + j**3 + (-j + 0*j + 0*j)*(-2*j + 2*j - 3*j**2) - 2*j**3 - 2*j**3 - 2*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 - 397. Suppose -140*h = -157*h + b. What is the remainder when 21 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 7 = -10*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 13. Let a = 0.1 + k. Let h = -1.1 - a. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 60*c + 55*c = -10, 4*o + 4*c - 44 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + 7*l - 4. List the prime factors of b(4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 + -59. Suppose -4*z + 2 = -r. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -5, 6, -34, 11.27, -1 in descending order.\nAnswer: 11.27, 6, -1\/10, -1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -5, 4, -1 in decreasing order.\nAnswer: 40, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = 10. Solve t + b*z - 8 = -3*t, 3*t = -4*z + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/12999 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 22327184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2835, -4418, -5989, -7542, -9071, -10570, -12033?\n\"Answer: c**3 - 1590*c - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/132)\/(8\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1114, 2706, 4282, 5842, 7386, 8914, 10426?\nAnswer: 11922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.038 and -0.04.\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6310 divided by -10\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2545\/422 or -5?\nAnswer: -2545\/422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (239 - 237) + -2 + -12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**5 - 5*i**4 + 10*i**3 + 10*i**2 - 5*i. Let z(r) = r**5 - 1. Let u(s) = v(s) + 5*z(s). Factor u(k).\nAnswer: -5*(k - 1)**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 652 - 657. Let n = -0.192 - -5.192. Put -0.2, n, f in descending order.\nAnswer: n, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 215, -4, 0 in decreasing order.\nAnswer: 215, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1657262938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106 + 2*y**2 - 656 - 2*y + 4*y - 5*y + 77 with respect to y.\nAnswer: 4*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/120 + 11*d**4\/12 - 25*d**3\/3 - 46*d**2. Differentiate h(n) with respect to n.\nAnswer: -3*n**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q + 14. Let y be ((-80)\/6)\/(22\/66). Let s = y - -43. Let o be l(s). What is the greatest common divisor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**4\/4 + 7*b**3\/3 + 3*b + 5. Let y be h(-7). Suppose 2*i = -y*i + 55. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*q - 29, g + 2*g - 5*q = 137. Suppose -g = -3*w + 5*w. Let x = w + 58. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457770 rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 2*n - 3.\nAnswer: (n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 + 55*q**2 + 5*q + 2161. Let t(c) = 7*c**3 + 66*c**2 + 6*c + 2160. Determine -6*i(p) + 5*t(p).\nAnswer: 5*p**3 - 2166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f**2 - 3 + 3)*(f - 2 + 2) + 7*f**3 - 3*f**3 - 3*f**3 - f**3 + 3 - 3 + (2*f**2 + 0 + 0)*(2 + 2*f - 2))*(0 + 1 - 2).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2490, 2488, 2484, 2478, 2470?\n\"Answer: -l**2 + l + 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*h = 231, 0*l + 462 = 2*l - 4*h. Suppose -24*w + 3*w + 7392 = 11*w. Are l and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 7}. Give prob of sequence wj.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:35 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529, 532, 545, 574, 625, 704?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*q - 1072 - 473 = 425 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/78 and 47\/2393?\nAnswer: 186654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 17*r - 79. Let c be g(22). What is the third smallest value in c, 2\/19, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + 171. Suppose 0*q = -q + 3*m - 4, 3*q - b*m = 12. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4 + 1) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.695 take away 2304?\nAnswer: -2211.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**3 + 40*f**3 + 26*f**3 - 97*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/40)\/3)\/(6\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -387*d*n**3*r + 2*d*n**2*r**2 + 3514*d*n*r**3 - 2*d*r**2 + 2*n**3*r**3 - 2*n wrt r.\nAnswer: 21084*d*n + 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*c + 2 = -28, -8*b - 46 = 2*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/2 + 7*t. Let l = -22 + 19. Calculate the remainder when 25 is divided by a(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*k - 22, -6*k + k = -3*r + 32. Suppose 5*m - r*m = -8. Suppose -5*o + 103 = c, 2*o - c = -m*c + 43. Solve o = 2*f + 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -81*d. Let w(l) = 2*l. Determine u(w(n)).\nAnswer: -162*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, s: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2968740 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (-2*sqrt(1539))**2 - (sqrt(209)*2)\/sqrt(11).\nAnswer: -6156 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - v)*(90 - 55 - 251) + (2*v - 3 + 3)*(2 - 1 + 0) as z + r*v and give r.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133366.\nAnswer: 2, 66683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/5 - 279\/(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 3601 - 1005. Solve 0 = 4*o + u - 110 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -33. Which is the third smallest value? (a) -1\/7 (b) h (c) -2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 4519\nAnswer: -21\/4519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let j = 2 - m. Let p be (-21)\/(-18) - (-1)\/(-1). Is p < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -432 from 148527090.\nAnswer: 148527522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29309*a*g - 6271*g + 1 with respect to a.\nAnswer: -29309*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k + 2. Let p(a) = -119*a + 35. Let n(w) = 35*m(w) - 2*p(w). Let s(t) = -3*t. Calculate -6*n(i) + 15*s(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_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 next in 478, 446, 402, 346, 278, 198?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 2*a + 4. Let m(g) = g**2 + g - 2. Calculate -9*m(v) - 4*y(v).\nAnswer: -v**2 - 17*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 + 14 = -c, 4*t - 5*c = 45. Let j = 7302 - 7138. Suppose -t*w - 144 = -j. Solve 0 = w*g - g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 0*j + j)*(j + j + 0*j) - 40*j**2 + 22*j**2 + 30*j**2.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362964756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/99)\/(181\/(-3258))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9898, 10054, 10246, 10492, 10810, 11218, 11734?\nAnswer: 12376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1574*v - 1511*v + 3026*v.\nAnswer: -59*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 4411 in descending order.\nAnswer: 4411, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/12 - (-3)\/12. Let h = 2 - x. Suppose 0 + h*v - 2\/5*v**2 = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by (-12)\/4 + 12 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -499 - -498. Sort -4, -2, u, -14\/3 in ascending order.\nAnswer: -14\/3, -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 9*i + 4. Let z be u(-8). Sort 0.21, 3, z in decreasing order.\nAnswer: 3, 0.21, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117, 151, 197, 261, 349, 467, 621, 817?\n\"Answer: s**3 + 27*s + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 47*b + 103. Is f(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1978185 is divided by 179831?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39484 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349215.\nAnswer: 5, 7, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -158.317418*-0.7\nAnswer: 110.8221926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135575983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1413, -2815, -4207, -5589?\nAnswer: -6961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcbc. What is prob of sequence bccb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/6 - 4*h\/3 + 2 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 43, 32, 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + -51 - 0 - -112.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -164042.7 and 7?\nAnswer: -1148298.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) -4 (c) 2\/9 (d) -0.5 (e) -24 (f) -143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4993493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - 3 - (-2)\/(-2). Let i = w - 16. Let t = -7 - i. Solve -t*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/4)\/((-5)\/120). Let y be 4\/(-14) + 222\/b. Suppose -21 = -4*f - y. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 1\/3*i**3 + 16*i + 0 + 57\/2*i**2. Let d(c) = 3*c + 85. Let v(h) = 5*d(h) - 8*w(h). Differentiate v(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 35 = 33. Calculate the highest common divisor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = -i + 24*v + 4, -3*v - 41 = -5*i. Calculate the common denominator of 26 + (i\/4 - 3) and -17\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*l + 2 = 0, 0 = -0*c - 3*c - 4*l - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**3 + 2*s**2 + 21*s - 2*s**4 - 1 - 21*s to n*s**4 + p + r*s + d*s**3 + o*s**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 81 = 45*p. Solve 5*g = -10, 8*g - p*g + 20 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.35 - -12.65. Which is the nearest to 0? (a) -0.2 (b) y (c) 0.1 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/284868520 and 1\/53111080.\nAnswer: 3133553720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*x**2 + 88*x**2 + 0*x - 17*x**3 + x to y*x + g*x**2 + u*x**3 + h and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526\/7 + -524\/7. Let n = -844\/7 + 4528\/35. Let q = -47\/5 + n. Which is the third smallest value? (a) s (b) -9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/21 + 72976*j**3\/21 - 325746640*j**2\/7 + 5646157897024*j\/21 - 11712674784919328\/21 = 0. What is j?\nAnswer: 5126, 10454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlritdirdldildt. Give prob of sequence ltl.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 10*j + 138, -17*l + 5*j = -15*l - 102. Solve 224 = -94*a + l*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5 - 4159*a**3 + 1748*a + 30 wrt a.\nAnswer: -40*a**3 - 24954*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 2, h: 6, k: 4}. Give prob of picking 2 k and 1 v.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -37913635\nAnswer: 22\/37913635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o. Let s(u) = u + 42. Let q be s(-17). Let g = q - 25. Let n(w) = w**3 + w + 1. Let y be n(g). Give c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((90\/35 - 3)*27\/81). Let c(z) = -10*z**3 + 5*z + 4. Let h be c(-3). What is the highest common divisor of o and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 0. Let u be (62\/33)\/(w\/(-444)). Let i = u + -105. Calculate the common denominator of -17\/4 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 3447?\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*g*h + 16086*b*h**2 - 455*b - 7083*g + 2*h**2 + 402*h wrt b.\nAnswer: -g*h + 16086*h**2 - 455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85348696 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 10:40 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321971*a**3*i**2 - 14969*a**2*i**2 + 8*a*i**2 wrt a.\nAnswer: 1931826*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 303 + -306?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.49094 + 13.36366. Let o = -8.861 + p. Let j = o + -6. What is j rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -156 + 24*r - 32 + 46 - 10*r - 13*r. Let b(y) = -3*y**2. What is b(c(z))?\nAnswer: -3*z**2 + 852*z - 60492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*i**3 - 156*i**2?\nAnswer: 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*d**4*n**3 + 13*d**3*n**3 - 5*d**2*n + 6*d*n**3 wrt d?\nAnswer: -744*d*n**3 + 78*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 391400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + 0*g)*(-1 - 4 + 3) + (6 - 1 - 1)*(-58 - g + 57 - 7*g).\nAnswer: -34*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(21\/119*(-2)\/3). Solve 12 = -p*w + 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 19*n**2 + 9*n + 13. Suppose 7*i = -5 - 23. What is the hundreds digit of c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26719534 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/1 - (4 - -13 - 9). Let d(k) be the second derivative of 2\/3*k**4 + 0*k**2 + b + 5\/3*k**3 + 13*k. Find the second derivative of d(y) wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 6, b: 5, j: 1, e: 1}. What is prob of sequence bzf?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yggb when four letters picked without replacement from {c: 2, b: 3, g: 3, r: 1, y: 1, l: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1*sqrt(192) - sqrt(192))*-2 - sqrt(192)) + 5 + -4)**2.\nAnswer: -1729 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1779 in 3, -1\/3, 1\/3, -5, -26?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.84 to 1 decimal place.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 133013322120 (base 4) in base 5?\nAnswer: 4042040442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 3. Suppose -k = 2*g + 2*k - 47, -2*k = -4*g + 102. Calculate the remainder when g is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 7*n**6\/30 + 103*n**5\/15 - 71*n**4\/3 + 64*n**3\/3 - 35*n**2. Factor b(r).\nAnswer: 4*(r - 1)*(r + 16)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 12*n - 16. Let r(g) = g**3 - 4*g**2 - 3*g + 4. Let a be r(5). Calculate the remainder when 20 is divided by p(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 477431166 - 1?\nAnswer: 477431165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 8:32 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8939049.\nAnswer: 3, 7, 151, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b*b*b)\/b*b**(3\/2))**8 assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 6\/(-5) + 1\/5. Let w = -0.2 + 0.4. Is y greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (60\/(-45))\/(8\/(-18)). Find the third derivative of -7*d**j - 52*d**2 + 86*d**3 - 71*d**2 wrt d.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-4) + 4\/16. Calculate the highest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2.73, 7\/4, -0.1, -5 in decreasing order.\nAnswer: 2.73, 7\/4, 0.4, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(50))\/sqrt(5))\/(sqrt(12)\/(-2*sqrt(6))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -86, -81, -76, -71, -66?\n\"Answer: 5*g - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2500) - sqrt(2500)*-2)*-3*2)\/((5*sqrt(100)\/sqrt(4))\/(-2*sqrt(180) - sqrt(5))).\nAnswer: 468*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(117) - (sqrt(117) - sqrt(117)*1)) + 5 + sqrt(117) + 2 + sqrt(117) + (-3 + sqrt(117) - sqrt(117)))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 11*z**2 - 7*z - 14. Let d be t(10). Let h = 15 - d. Let l(o) = 4*o - 1. Determine l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}