diff --git "a/data/dm_maths/full_data/10458_11255.jsonl" "b/data/dm_maths/full_data/10458_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10458_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 0.1, -0.1, -4, 1 in descending order.\nAnswer: 1, 0.1, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/9359 (b) 1 (c) 0.3 (d) 5 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = -20*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 16. What is the least common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**6\/5 - m**4\/12 - 15*m. What is the third derivative of o(h) wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by (-7)\/((-189)\/99)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-35) + 2 + (-96)\/20. Let q be (z - -9)\/(11\/((-44)\/(-8))). Let r(b) = 9*b**3 - 3*b**2 + 15. Let s(g) = -4*g**3 + g**2 - 7. Give q*r(y) + 7*s(y).\nAnswer: -y**3 - 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-14)\/(-16))\/7*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 283.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 89 - 14. Let q = k + -21. Suppose -q*a = -2*y - 96, -2*y - 8 = -0*y. What is the remainder when 85 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -1\/2*f**2 + 3 + 3*f. Give s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8279 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 + 5*v + 3 - 6*v. Let c be g(-7). Is 7 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 384 = -12*o + 4*d, 5*o - 2*d = 952. What is the greatest common divisor of o and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.1.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - -21)\/(12\/4) and 7\/(-14)*((-1)\/9 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12121021103102?\nAnswer: -12121021103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3838046686 - 78056?\nAnswer: 3837968630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Let x(z) = -2 - s + 9*z - 8*z. Let d be 1\/3 - (-2)\/(-6). Determine x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**5\/9 + 61*t**4\/9 + 208*t**3\/3 + 196*t**2 = 0.\nAnswer: -49, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8613 = 5*b, 4*z - 42751 = -5*b - 8174. What are the prime factors of z?\nAnswer: 2, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2701 and 3.\nAnswer: 3.2701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 14527527.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5551896*t**2 + 8134951.\nAnswer: -11103792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x + 15. Let s be g(-5). Suppose 0 = s*q - 65*q - 2065. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-782*h - 666*h + 367*h)*(2*h - 3 + 3).\nAnswer: -2162*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3988 - 3988 - 75*x**2.\nAnswer: -75*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8125 != -8131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/150 and -43\/48?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5941\/2 - -2970. What is the closest to m in 3\/5, 9\/8, -2, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 5*z. Let i(f) = -2*f. Let l(d) = 2*a(d) + 5*i(d). Let y(g) be the first derivative of 8*g**3\/3 - 67. Determine l(y(k)).\nAnswer: -128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/210 - n**6\/10 - 19*n**3\/2 + 4*n**2 - 2*n. What is the first derivative of z(x) wrt x?\nAnswer: 4*x**3 - 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = 5*y + 2*o - 229, 2*o + 25 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.5 (b) 0.2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 302\/29?\nAnswer: 302\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 2*f**3 - 4*f**3 - 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2465 and 1317383.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17999, -40282, -62565, -84848, -107131?\n\"Answer: -22283*t + 4284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1125445 by -5.\nAnswer: -225089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a2 (base 14) to base 6.\nAnswer: 11530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2 - 2 + 4*u + u**2 + 2. Let w be f(-6). Suppose -w*m = -5*m - 395. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*64*(-28)\/12544?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -632 less than 79?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -29*t - 972. Determine j(-34).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 + -193. Let f(h) be the third derivative of -h**6\/120 + h**5\/4 - 17*h**4\/24 - 2*h**3\/3 - h**2. What is the units digit of f(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 = -9924*d + 9887*d - 1789 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.241814 take away -61?\nAnswer: 61.241814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30786 + -18170. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 412 - 325. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*y + 8 = 3, 0 = -5*a - 2*y + 25. Suppose a*s = 3 + 7. Put 0.2, -5\/9, -4, s in ascending order.\nAnswer: -4, -5\/9, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*p + 16*p + 267 - 221. Let a(m) = -m**2 - 6*m - 3. Let l be a(-4). Solve -p*d = z - 4*z - 9, 3 = l*d - z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610915 is divided by 322157.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 35 - 32, 4*x - 32 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4\/4 + 39*m**3\/4 + 147*m**2\/4 - 39*m\/4 - 36 = 0.\nAnswer: -3, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**3 + 7*z**2 - 34*z + 11. Let w(b) = -3*b**3 - 2*b**2 + 11*b - 4. Let v(t) = -2*a(t) - 7*w(t). Find q, given that v(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/3 + (-1 - 0). Suppose a + i = 25, h = 5*a - 6*a - 5*i + 25. Calculate the remainder when 98 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 8*x + 32. Suppose -26 = 2*z - 18. Let d(b) = 12*b**2 - 15*b + 63. Let o(f) = z*d(f) + 9*n(f). Solve o(w) = 0 for w.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2511 and 22\/27.\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2731 and 67\/4?\nAnswer: 10924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/336 and 95\/462.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49289*-6.2.\nAnswer: -305591.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 8 (c) 2\/11 (d) 54 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 0*s - 6007 + 10*s + 6007.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4091.394 litres to millilitres.\nAnswer: 4091394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -500.5 - -500.502241. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6298 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.6 - -0.6. Let r = u - -7. Let p = r + -3. What is the third biggest value in -1\/8, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 22*g**2 - 24*g + 66. Let i be u(21). Solve 3*b - 1 = 4*q - i, 0 = 4*b + 4*q - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from fhhf?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834740734 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v + 4. Let r be t(0). Let p be (-2 - -6) + 7 - 8. Suppose -155 = -p*b - 5*h, 8*h = 4*b + r*h - 228. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -17 + 11. Suppose -h = -4*h + w. What is the derivative of -v**4 - h + 3 + 2*v**4 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -86 (c) 20\/1497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1, -1.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 13 - 6 = -g, -g - 5*k + 23 = 0. Suppose 0 = -2*n - g*n. Let u = 16 + n. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:44 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 - 113139*l**3 + 113134*l**3 + l**2.\nAnswer: -5*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -187622496 divided by 288\nAnswer: -651467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (30670\/(-8))\/(-5) - 5\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30549 by -10183.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 61. Solve -m + 1 = -b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24610698 is divided by 65.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250 * 61.\nAnswer: 15250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4216 - 8413 + 4197 - 1695*m to the form s + q*m and give q.\nAnswer: -1695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1951 divided by -6.\nAnswer: -1951\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21244 times 7.4?\nAnswer: 1.572056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211 - 222. Let v(d) = d**2 + 9*d + 23. Let g be v(t). Solve 5*i - g = -h + 6*h, 0 = 4*i - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + 2*b**2 - 4*b**2)*(-b + 9*b - 3*b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0664 * -2.187.\nAnswer: 0.1452168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfmssan. What is prob of sequence js?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/((l**(-4)\/l)\/l))\/l)**(-19\/5) assuming l is positive.\nAnswer: l**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43167991204680 + 43167991204680 - 24*g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3425345 and 199\/266910.\nAnswer: 20552070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -1573\/435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-4)*8\/12. Let g = -1141.9 + 1142. Sort g, -2\/13, 1\/4, i in descending order.\nAnswer: 1\/4, g, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o = 59*o - 790 - 71 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/15))**(-17\/2))**29 assuming s is positive.\nAnswer: s**(-6409\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12919663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10117119 is divided by 5058455?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -9 - (-3 + (9 - 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2. Let v(t) = 19807*t - 19818*t + 1 - 1. Give d(v(q)).\nAnswer: 605*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 11*i - 20. Let h be z(8). Solve h*a - 6 + 26 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95150604 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:46 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120317519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/72 + (-56)\/(-90)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9264 a factor of 1775010192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 5*t**2 - 22*t - 28. Let w be z(-3). Which is smaller: 33 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -19, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45484*i**3 - 2*i**2 + i + 8703?\nAnswer: -272904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 795 and 689?\nAnswer: 10335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*w = 5*p + 151*w - 525017, -p + 105001 = 2*w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, -1\/2, 5\/16, -1\/11?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4. Let i be 1*(s - -10) - 4. Find the second derivative of -2*b - 3*b + b**5 - 4*b**i + 5*b**5 wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476299.\nAnswer: 11, 103, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 11932582?\nAnswer: 83528074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (75\/425)\/((0 - 3)*1). Which is the nearest to -0.1? (a) 0.1 (b) t (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010 + 2220020?\nAnswer: 10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9344*q**3 + 29735*q**3 - 11030*q**3 - 9359*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 1 - 3. Suppose p = -4*c + 18, -2*c + 6*p - p = 2. Solve -c*u - 3 - n = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 28*q**2 + 38. What is a(-28)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 10*r**2 + 22*r - 23*r**2 + 10*r**2.\nAnswer: -3*r**2 + 22*r + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 + 183*q + 251. Let i be a(46). Which is smaller: 210 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9523661 divided by 1\nAnswer: -9523661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 5*o**3 - 25*o - 4*o**3.\nAnswer: o**3 - 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*j + 21 - 13 = 0, 6*q + 4*j = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 204 + 613374?\nAnswer: 613600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 68, 108, 166?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -2*g - 0*d + d, -5*d = -4*g + 343. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3089470a - 1?\nAnswer: 30894709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 41 = -5*i, -4*i + o - 7 + 23 = 0. Suppose -g = -i*j + 20, -2*g + 3*j - 35 = -6*g. Solve 5*v - 15 = 0, -19 + 0 = -4*q - g*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53155501463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:55 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-69) - (-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Suppose -2*y + 8 = k, -3*y + 108 = 2*n + y. What is the lowest common multiple of (-2)\/16*-130 + (-14)\/56 and n?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {b: 6, k: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b - 82. Give c(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 155, 1, 16, -4, 20 in descending order.\nAnswer: 155, 20, 16, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 17*u**2 + 5*u + 22. Determine l(-17).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.088?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - 5*f**5 - f**5 + (11*f - 8*f + 0*f)*(-3*f + f + 0*f)*(f**3 + 3*f**3 - 3*f**3).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhjhjjj. What is prob of sequence jjjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141180533 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31, 1, -11 in increasing order.\nAnswer: -31, -11, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31801 + 49982. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*x**2 - 559*x**2 + 267*x**2 - 2*x**3 + 0*x**3 to y*x + h + p*x**3 + g*x**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1136 or 12?\nAnswer: -1136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -184\/3*w**3 + 0*w + 312 - 115*w**2. Find the second derivative of z(f) wrt f.\nAnswer: -368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (((sqrt(336)\/sqrt(192) - sqrt(28)) + sqrt(84)\/sqrt(3)*-5)**2 - (-1 + (-1*sqrt(343) + 3)**2)).\nAnswer: 42*sqrt(7) + 2335\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -16. Let c = y - -33. Let o = 17 + 5. What is the highest common divisor of o and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0819 times 0.08893\nAnswer: 0.007283367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27\/2, 469260, -5?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18195867?\nAnswer: 3, 673921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*b - 260*b = -4836 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/264 and -75\/245464.\nAnswer: 8100312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 3*s - 3*s + 2 - 6*s - 2 + (1 - 4 + 4)*(-4*s + 0*s + 3*s) + 4*s - 3*s + 0*s - s + 5*s + 0*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -144*c + 1359. Let r be z(9). What is the highest common factor of 7560 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -24*a + 116. Let h(s) = 16*s**3 + 45*s**2 + 14*s. Let t(j) = 5*j**3 + 15*j**2 + 4*j. Let k(d) = a*t(d) - 2*h(d). Factor k(y).\nAnswer: 3*y**2*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16240 divided by -4?\nAnswer: -4060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 15 = 7*c - 3*c, 0 = -4*f + 3*c + 117. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(13) + 0))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2471 + 12423\/5. Let v = -6734 + 6747. Is k less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhqhhqqhhh. What is prob of sequence qhqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-13\/3)*u**(-12))**(-2) assuming u is positive.\nAnswer: u**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -q + y - 37, -13 = -5*q + 2*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 - 22*k - 5. Let q be v(6). Suppose q = -26*r + 25*r. Let o(y) = y**2 + 6*y + 1. What is o(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12 + 31\/4650*25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**3 - s**3 + 2*s**3)*(-18 + 25 + 18)*(-5 + 1 - 1) in the form i*s**3 + y + r*s + l*s**2 and give i.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 1 - 1)*(3 + 12 - 5*v + 4*v).\nAnswer: 4*v**4 - 60*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -26 (c) -0.08 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*b - 26 = 0, 0*h = -5*h - 3*b + 130. Let i = -5 - -12. What is the remainder when h is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 10:10 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-756))\/(6\/232461 - 0). Let u = 1079 - t. Calculate the common denominator of 101\/16 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -19*l**2 + 2*l + 4. Let b(u) = 20*u**2 - 3*u - 5. Determine -2*b(i) - 3*h(i).\nAnswer: 17*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*q**4 - 36*j*q**3 + j*q**2 + 9637*j*q + 2*j - 28*q**3 wrt q?\nAnswer: 24*j*q - 216*j - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 83479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -7. What are the prime factors of 4\/j - (-25)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4738.\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxyxfyyoywwoyy. What is prob of picking 1 y, 1 f, 1 x, and 1 o?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let f = r + -3. Sort 5, f, 4 in descending order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7674 is divided by 3440?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 2. Let l(r) = -r**3 - 2*r**2 - 2*r - 1. Let d be l(-2). Let j = 109 + -94. Suppose d*x - 2*m = -42 + j, m = 4*x + 31. Calculate z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -482*s**4 + 72*s**3 - 339647*s**2.\nAnswer: -11568*s + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4, -26, -5\/3 in descending order.\nAnswer: 1\/3, -5\/3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4993 + 7610. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68456 + 136913 - 68457 + 16*h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-6)\/(-16))*63\/84. Let c be (25\/50)\/(y\/12). Solve 5*g - c*g = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 389, 400, 415, 434?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.7, 5\/3, -5\/7, -25, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.09 - -15. Let j = -0.0802 - l. Round j to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + (-1 - (-7)\/5). Which is the nearest to p? (a) -0.2 (b) -0.06 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.774 + 0.066. What is k rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15903 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3436137191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 16. Solve 0 = c - 5*c + n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-19)\/76)\/((-6)\/96). Solve -6*x = 14 + l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - p + 0*p)*(-189 + 137*p - 16*p - 59*p - 7 + (-p - 4 + 4)*(-4 + 2 + 4)) to c*p + u*p**2 + k and give c.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2431 - -2463. Solve 4*f = -4*f + p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -121, -131, -163, -229, -341, -511, -751?\n\"Answer: -2*h**3 + h**2 + h - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135919 + 2*n**2 - 135919.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m + 4\/3*m**3 + 4*m**2 + 7. Find w such that x(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 442 - 230 - 212 + 4325*b in the form s + p*b and give p.\nAnswer: 4325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-265)\/65*-2 + 2\/(-13). Suppose w = 2*t - t. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*p - 9 = 0, 3*p + 13 = 4*d + 2*p. What is the remainder when 42 is divided by ((-2)\/d)\/((-20)\/450)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -69404.8 and 7867.\nAnswer: -61537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiiiainpiapnipi. What is prob of picking 3 i and 1 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 13) to base 10\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 19832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 16*w - 66. Let x be v(12). Are x and -3449\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/21 - 16*v**2\/21 - 38*v\/21 - 20\/21.\nAnswer: 2*(v - 10)*(v + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*x - 5. Suppose -2*k - 277 = -3*b, x*k - 3*k + 366 = 4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39*(30\/9 + -4). Let m be (-10)\/l*(-8)\/(-20). Suppose 4*o + 16 = 0, -2*o - 6 = 2*x - o. What is the second biggest value in 0.1, x, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2322220320223?\nAnswer: 2322220320221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -135966 divided by -15?\nAnswer: 45322\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 10*y + 14. Suppose i + r + 2 = 8, -r = 5. Let s be p(i). Which is the biggest value? (a) 0.1 (b) s (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4979940 and 426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d + 11. Let f(x) = 5*x + 4. Let l(w) = 17*f(w) - 6*y(w). Let a = 1408 - 1414. What is l(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0181 minus -5571?\nAnswer: 5571.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49564160 rounded to the nearest 1000000?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62846 + 295179. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 457*m**2 - 5045*m + 4. Determine b(11).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -234 (c) -85.7071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3. Let y(d) = 10*d**3 + 1. Let t(m) = -i(m) - y(m). What is the first derivative of t(x) wrt x?\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39060 divided by -31\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.089 - -14.489. Put -37, 0.3, m, -5\/3 in increasing order.\nAnswer: -37, -5\/3, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 147 + 61. Which is the second smallest value? (a) n (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13)\/(-3) + -5)*(-7)\/((-126)\/(-1917)). Solve 2*z + 4*m - c = -83, -3*m = 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let l(a) = 0 + 0 + 4 - 4 + 1114*a**2. What is k(l(q))?\nAnswer: 1114*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000001 + -10?\nAnswer: -1101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 < 52\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z**2 + z. Let j(g) = g**2 - 13*g - 13. Let v be j(14). Give y(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3195\/63 - 2\/(-7). Suppose 0 = -3*o + 6*o - n. Let d(i) = -24*i + 1. What is the remainder when d(-2) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) -1\/4 (b) 1.19 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 6 = 3*v, -2031200 = -5*v + s - 2031206 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -0.4 (c) 3\/5 (d) -2\/15 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**2 - 69*i**2 - 110*i**2 - i**2 - 3*i**2 + 3*i**2 + (-i + 0*i - i)*(2 + i - 2) + 2 - 2*i**2 - 2)*(3*i**3 + 0*i**3 - 4*i**3).\nAnswer: 169*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1832136284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341145522.\nAnswer: 2, 3, 23, 887, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -46 (c) -3\/8 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53047, -106109, -159171?\nAnswer: -212233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b. Let c(p) = -18*p + p**2 - 6*p - 6*p + 44*p. What is c(i(a))?\nAnswer: 16*a**2 + 56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.448815923 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4973, -4975, -4977?\n\"Answer: -2*s - 4971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187\/(-102))\/(-11)*8*(-1)\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 78829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4966.718 nanometers?\nAnswer: 4.966718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(11) + 5)*-4*4)**2 + (-5*(2 + sqrt(176))*-4)**2.\nAnswer: 9984*sqrt(11) + 87360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 13.28049.\nAnswer: 18.592686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12) + 2\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -1125, -1686?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f. Let l be j(-1). Suppose r - 16 + 7 = l. Suppose u = -1 + r. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-65 - -97)\/((-3)\/(-9)). Solve 77 = 19*o + y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 3, 18\/7373, -0.1, -0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (226 - 233) + 1 + 3 + 1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 7699144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/12 - (-15)\/2. Suppose -5*b + r = g - 6, 0 = -5*g + 15. Suppose 0 = -b*j + 6*j - 260. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*d - 5*q, -d = 4*q + 10. What is the third derivative of -35*i**2 + d*i**3 + 15*i**2 + 18*i**2 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 2987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + (-9)\/21*3 and -35\/163?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 1069928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/36)\/((-31)\/372)*-43. Solve h*v - 47*v - j = -18, 4*j = 3*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from ccyyycocyyccyyyoco?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 - 11*s**2 - 4*s**2 - 3 + s + 5*s**2. Let a be 1\/((42\/15 - 3)*-1). Give h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84367256?\nAnswer: 2, 47, 173, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1343?\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 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: b\"What is the ith term of -911255, -1822755, -2734257, -3645761, -4557267?\n\"Answer: -i**2 - 911497*i + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 200\/(-420)*-21 - (-86)\/(-9). Solve 1\/9*f**4 + 2\/9*f**2 - 1\/3 + r*f**3 - 4\/9*f = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/((-84)\/(41328\/902)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 - -242. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctrcccccctctccccc. Give prob of picking 2 t and 2 c.\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*sqrt(304) + sqrt(304) + 2.\nAnswer: 3 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 474 and 3094 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 33920632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((((-11)\/28)\/11)\/(77\/44)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and -48993241.\nAnswer: -48993251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -51.8. Let v = 6.5 + -10. Let l = -0.5 + v. What is the second smallest value in t, 0.5, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 316246, 316245, 316256, 316279, 316314, 316361?\n\"Answer: 6*r**2 - 19*r + 316259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 72 + 36 = 0. Suppose a = 5*b - 2*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)*3 - ((sqrt(190) + (sqrt(190) + -2*sqrt(190) - sqrt(190)) + sqrt(190))*-3 + sqrt(190) - sqrt(190)))\/(-3*(sqrt(810) - 4*sqrt(810)))*5.\nAnswer: 25*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -11 - 9. Suppose 5*x + 4 = 3*c + x, 5 = -3*c - b*x. Suppose c = 3*o - o - 1400000. Round o to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125831 is divided by 193.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (20 - (31 + -14 - 5)) + (3 - 51)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/1 + 37. Let t = v + -15. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2730980 and 59\/12016312.\nAnswer: 60081560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 12:13 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111 + 2232?\nAnswer: 13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2123 - -6370\/3. Let x = 0.045 - 33.045. Let f = 47 + x. Is s at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19355?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 29*d - 24. What is v(-12)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11)**(6\/17) assuming x is positive.\nAnswer: x**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/10509380?\nAnswer: -1\/10509380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {z: 6, g: 5, n: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 1134861?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*x - 81 + 66, d = -3*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3 - (-3)\/(-3). Let h = -6 - -4.9. Let p = -1.2 - h. Which is the third biggest value? (a) p (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)\/(97\/((-21243)\/1387))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 3 - 3 + (1 + 103 - 18)*(-5 + 5 - 5*s).\nAnswer: -429*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 71014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12193.07nm?\nAnswer: 0.00001219307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 12*c**2 - c + 17. Let w be s(12). Suppose 95 - 12 = 4*l - w*i, 42 = 3*l + 3*i. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 511 - 0?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/32, -44607, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 125676*p. Let f(v) = 3*v. What is f(a(j))?\nAnswer: 377028*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4099971614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 120032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2627 - 2630. Sort -143, r, -7 in descending order.\nAnswer: r, -7, -143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62411*y**3 - 26871*y?\nAnswer: -374466*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i + 1. Let z be p(-7). Suppose -3*d + 4*f = -65, 6*d - 2*d - 4*f = z. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 34*k = 3234. Suppose 5*p + 17*p = k. Solve p + 4 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1494*m**2 + 2089*m + 3 - 2089*m - 804*m**2 as q + f*m**2 + a*m and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -232, -377, -580?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 68126 and 332021.\nAnswer: 400147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*m**2 - 103*m**2 - 12*m**2.\nAnswer: -112*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1333, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22097, 43866, 65633, 87398, 109161, 130922?\nAnswer: 152681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h - 8 + h**2 - 15*h - 3. Is g(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k - 3. Let h be z(-1). Suppose 3*f + h*q = 456 - 85, 2*f = 4*q + 218. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -20, -x = -4*q + 4*x + 9. Let t(w) = -w. Let f = -22 + 21. Let r(s) = s**2 + 2*s - 2. Calculate f*r(o) + q*t(o).\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + (-132)\/560. Let s = 7\/20 + m. Suppose 0*w + s*w**3 + 0*w**2 + 0 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829886027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*b + b**2 + 2*b - 3 + (-25*b + 42*b - 15*b)*(3*b - 3 + 3).\nAnswer: 7*b**2 + 4*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 14 + 8 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49659, -2\/7, 0.3?\nAnswer: 49659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*v + 132*v**2 + 45*v + 41*v - 120*v to d + r*v + a*v**2 and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**4 - v**5 + 5*v**4 + (-v - 2*v + v)*(0*v**4 + 5*v**4 - 3*v**4).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27304 - -27304. Solve b = 135*p - 140*p - 20, p = 3*l - 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((-1 - -15) + (-47 - -2) + 23)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*p**3 + p**3 + 2*p**4 - 25*p**2 + 3*p**3 + 2*p - 3 + 26*p**2 to the form x + i*p**4 + v*p**2 + r*p + q*p**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 9 = 3*j. Let b(w) = -3*w + 6. Let d(c) = -4*c + 9. Let h(k) = -8*b(k) + 5*d(k). Calculate the remainder when j is divided by h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 7 + 0)*(-3 - 3*k + 21 - 9).\nAnswer: -39*k + 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-9))\/((-3)\/(-45)). Let y(z) = 7*z**2 + z + 5. Let i(b) = -3*b**2 - 2. Let r(j) = a*i(j) + 4*y(j). Find w such that r(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from cmcmmccccccmmmmc.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(40) + -2*sqrt(2560) + sqrt(2560))\/sqrt(8) + 2 + 3 + (sqrt(25)\/(2*sqrt(720) + sqrt(5)))**2.\nAnswer: -7*sqrt(5) + 501\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.01, -0.9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -31.56?\nAnswer: 126.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2889, 3353, 3727, 4011, 4205?\n\"Answer: -45*v**2 + 599*v + 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -40, -43, -68, -121, -208, -335?\n\"Answer: -f**3 - 2*f**2 + 26*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(-24)\/(-4). Suppose n - p*s - 13 = -0*n, -2*s - 10 = 0. Suppose -d = -5*h - 63, d - h - 91 = -n*h. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185896?\nAnswer: 2, 19, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = 3*u, 0 = 3*u - 0*u + 2*v - 16. Suppose -2*b + 210 = -3*a, -u*b + 0*a + 3*a = -432. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208455 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 7c?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 627?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 804 = -5*f - s, 0 = 2*f + s - 321. Suppose 9*q = 3*q + f. What is the remainder when 104 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 2*c**2 + c + 10. Let v = -140 + 147. Is q(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l*t**3 - 3*l*t**2 - 2*l*t + 39124*l - 2*t**3 - 53*t**2 - 814 wrt l?\nAnswer: -3*t**3 - 3*t**2 - 2*t + 39124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/((12\/(-10))\/((-100)\/(-125))). What is the greatest common factor of 117 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6064496 divided by -16?\nAnswer: -379031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(36))\/(sqrt(3)*2*1).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10001000100101001 (base 2) to base 15\nAnswer: 15abe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from kkkmkm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 41, 87, 157, 257, 393?\n\"Answer: t**3 + 3*t**2 + 12*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33720845, -33720848, -33720851, -33720854, -33720857?\nAnswer: -33720860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.557 times -520\nAnswer: -289.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 37*l**6\/24 - l**4\/12 - 2*l**3\/3 - 98*l**2. What is the second derivative of r(d) wrt d?\nAnswer: 1110*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 226188?\nAnswer: 226188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 636 and 5705328?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(12)\/(sqrt(2)*-1) + sqrt(6))\/(2*sqrt(242)).\nAnswer: sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.19 + -0.01. Let m = -0.2 - w. Let z = m + -4. What is the nearest to z in 5, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5995 and 3815.\nAnswer: 41965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14531553637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 4*h + 3. Let b be u(4). Solve -c - 11 = -3*f, -3 + 1 = -b*c + 2*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -639774, -639781, -639798, -639831, -639886?\nAnswer: -639969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 738982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*p**2 + 292*f**2*p - 20279*f**2 + 5*f*p + 244*f + p**2 - 630 wrt f?\nAnswer: 4*p**2 + 584*p - 40558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 21. Let k be (-4)\/6 + 44\/12. Suppose k = m - 4*t - 0, 4*t - 52 = -4*m. Solve m + f = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -1\/120*b**5 + 0*b + 1\/720*b**6 + 2*b**2 + 0 + 1\/3*b**3 + 1\/48*b**4. Let n(d) be the first derivative of f(d). Factor n(r).\nAnswer: (r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (2 + -6 + 6)) + -56?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h + 5. Let y be i(4). Suppose -1 = 4*q - 17. Suppose 9 - y = -q*g. What is the least common multiple of g and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*v**3 - 10*l**3*v - 151*l*v**2 - 10*l + 6263*v**5 - 5*v**3 wrt v.\nAnswer: -6*l**3 + 375780*v**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. Suppose 3*n = 0, -8*w - 3*n = -12*w + 56. Suppose -w*v = -81 - 31. Determine c(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.103156 * 0.2\nAnswer: 0.0206312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*b**5 - 12*b**2 - 6*b**4 - 70*b**5 - 36*b**3 + 28*b**5 - 21*b**4.\nAnswer: -3*b**2*(b + 2)**2*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:21 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 15*i**2 - 27*i - 40. Let x be n(-14). Suppose -3*u + 3*z + 12 = 0, 3*z + z + 7 = -5*u. Does 11 divide x\/2 - (u - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189290*b**2 - 156*b - 71 wrt b.\nAnswer: -378580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 27 = 28. Let b(v) = 104*v**3 + v**2 + 2*v - 2. Let z(y) = -208*y**3 - 2*y**2 - 3*y + 3. Let t(o) = -5*b(o) - 3*z(o). Is 24 a factor of t(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 20 - 49)*(-7*b**2 - 1 + 22*b**2 - b**3 + 10*b**2) in the form c*b**2 + q*b + w + s*b**3 and give c.\nAnswer: -2175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 2*a - 1. Let q be 2*(2 - (-9)\/6). Let b(o) = -o + 5. Let u be b(q). What is i(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 - 7911*p\/2 + 284493.\nAnswer: 3*(p - 2563)*(p - 74)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5473\/564 or -9?\nAnswer: -5473\/564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/73, -4\/3, 3\/7, 2.\nAnswer: -4\/3, 6\/73, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(68))*2 - sqrt(68)) + sqrt(68) + -3*(sqrt(68) + -1))**2 + -3 - (-1*6*(sqrt(68) + -1 + sqrt(68))*1)**2)*1.\nAnswer: -9754 + 276*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 213*g - 12104. What is v(51)?\nAnswer: -1241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.3 - 23. Let d = f - 1. What is the closest to 0 in -3\/2, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 9:18 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + f + 2*f + (-2 - 4 + 4)*(-4 + 2*f + 4) + 2*f + 3*f - f + (-3 + 0 + 0)*(-7*f + 10*f + 4*f) in the form c + k*f and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310133 + -23122?\nAnswer: -333321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = f, 0 = 3*q + 4*f - 7*f - 12. Suppose -3*p + q = -p. Let u(v) = v**3 - 8*v**2 + 6*v + 10. Let c be u(7). Solve -p*o = -9 + c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(0 + 3 + -5)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28338193 - -2772193. Round x to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910372602.\nAnswer: 2, 3, 467, 324901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/(1\/(-175)). What is the units digit of 8\/(-12) - f\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5157 - -2572. Let k be (-8)\/32 + c\/(-4) + -2. Suppose -9*y + 5*y + k = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -371*u**4\/2 - 1090*u**3\/3 + 581. What is the third derivative of k(d) wrt d?\nAnswer: -4452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:42 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/1*((-56050)\/1239)\/(-95).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -99*l**2 + 45637*l + 962. Determine q(461).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/2 + 5*y**3 + 13*y**2\/2 + 4*y - 13720. Calculate a(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 1411. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74360 and 7040.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1660*(-4)\/(32\/(-12)) - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c61 - 4b25?\nAnswer: -7a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*q + 101*q - 8, -m - 2*q = 24. What is the hundreds digit of ((m\/8)\/((-4)\/1409))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15508\/5? (a) 0.4 (b) 0.5 (c) -3 (d) 7\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from qqgqbgygggggybyggyg.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1996 and 5984\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 1 = t + 5*x, 0 = -t - 4*x + 4 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37268 and 484.\nAnswer: 37268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65.679 - -6.269. Let q = w - -59. Let b = q + 0.41. Put -0.5, b, 1 in descending order.\nAnswer: 1, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/3560 and -49\/22?\nAnswer: 39160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 296, 336, 388?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 25280012 = -3*o, -25*o = 4*n - 23*o + 101120008. Round n to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845029524?\nAnswer: 2, 3, 70419127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-35) - (-38)\/10. Suppose 0 = k + 4*k - 10. Solve -v*p = k*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-34)\/(-170))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/84*(122 - 95))\/(12*(-22)\/(-28)).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 21. Let i be d(-16). What is the highest common factor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0*f**4 - 10*f - 1\/60*f**5 + 0 + 1\/18*f**3 + 0*f**2. Factor j(d).\nAnswer: -d*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 - -911\/5. What is the third biggest value in s, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:36 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86856237 is divided by 361.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 21 = -20*y + 17*y, 0 = 4*y - 2*i - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -3201020320?\nAnswer: -3201021003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6*u + 8 = -5*u, -2*u = -3*t + 6. Suppose 5*o - f - 28 = 2*f, 22 = 4*o - 2*f. Suppose -t*z - 6 = -o*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 7*f - 8*f - 7, 0 = 3*q - f + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*k - 88. Let i be (-4)\/k + 70\/22. Find the second derivative of 2*s**5 + 0*s**5 - 4*s + i*s wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -4\/3 (c) 0.8 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/497 or 46.4?\nAnswer: 46.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 - 4*n - 6. Let p(h) = -1. Let x(i) = -2*p(i) + v(i). Let j(d) = d**2 + d + 1. Give -4*j(t) - x(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1860*j + 1845*j - 30 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375\/(-210) - 2\/(-7).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17236*x**2 - 30142*x?\nAnswer: -34472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1153\/6 + 174. Let n = -638\/39 + 17\/156. Calculate the common denominator of n and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/5 + 15084*w\/5 + 332332\/5 = 0.\nAnswer: -22, 15106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 228*z**2 - 2139*z + 1420. What is d(237)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:05 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 2?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -t + 2. Suppose 14*n = t*n + 20. Solve 6 = 3*g + 3*i, 4*i = -3*g + n - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 2, -49, 7 in descending order.\nAnswer: 7, 2, 0.2, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20.22 and 0.047321531.\nAnswer: 20.267321531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -19 - (-4 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14739 and 2?\nAnswer: -29478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 148*l**2 - 1559*l - 155. Determine z(11).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 85*z - 118. What is n(38)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6*d**2 + 10*d + 1. Let l be c(3). Suppose 0 = -4*i + 4, -2*i + 10 = -3*g - 7. Let v = 1.3 - 4.3. What is the second biggest value in l, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5990 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*i - 13, 0 = 761*i - 756*i + 3*a - 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g + 19. Determine n(-10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/1 - -5)\/(-2). Let i(w) = -3*w - 2*w + 4*w. What is i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563.27549 rounded to the nearest ten?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*g + 161, -425 - 259 = -6*j + 5*g - 518 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wku when three letters picked without replacement from uduyyukuuw.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*g + 16 = 0, -4*g + 10 = -9*g. What is the least common multiple of (1 + 1)\/c - -1 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13134 + 11212?\nAnswer: 24350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.837 - 3.819. Let b = y - 26. Let n = b - -0.022. Put 3, 1, n, 2 in descending order.\nAnswer: 3, 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -5523277?\nAnswer: -5523303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.1, -4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11559\/4 + 2890. Is q less than 0.9422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11.52 and 0.29726572.\nAnswer: -11.22273428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 15. Determine q(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 4463672.\nAnswer: 4910039.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus 1.31615?\nAnswer: 8.68385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46722014?\nAnswer: 2, 23361007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 10770880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0445 and -0.3.\nAnswer: -0.01335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.82 + -0.15. What is the third biggest value in -1, -3\/2, f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5157182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2583791*o - 4119. Let m be z(-9). Round m to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 89 + 6*o)*(-2 + 1 + 5)*(0 - o + 0)*(0*o + o - 3*o).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3402, -26676, -89366, -211026, -411210, -709472?\nAnswer: -1125366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:14 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 926189.61 minus 0.2?\nAnswer: 926189.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 508*x**2 - 14789*x + 943. Determine u(477).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 6*x**2 - x - 2. Let s be p(-6). Suppose 0 = 5*h - 4*a + 17 - 122, s*h + a = 105. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - ((37 - (51 + -25)) + 20).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/132780 and -199\/1560.\nAnswer: 3452280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (8 - (-25 - -34 - 35))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((1 - 3) + 2)\/(-1). Suppose -2*d + 4*u = -c*d - 14, -u = -3*d + 6. Let o = 7 + -3. What is the highest common factor of d and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 5*h - 3. Suppose -24*i - 8 = -22*i. What is g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1361112.199898 - 1361111. Let a = c + -1.2. What is a rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 86914 = 85891 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 9*v**2 + 12*v - 10. Let i be f(6). Let z = 213 - i. What is the greatest common divisor of z and 1333?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93)\/15 - 3\/(-15). What is the units digit of 80\/15 - 4\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 30154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*g**2 - 60*g**2 + 3 + 135*g**2 + 63*g**2 as n*g**2 + d*g + b and give n.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1064, 2124, 3184, 4244, 5304?\nAnswer: 6364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + u - 72*u = 485 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -345 - -355. Solve i - 2*m - 10 = -0, -4*i - 2*m + r = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3041420 - -1?\nAnswer: -3041414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.144, -2963, 1\/5, -0.5, 4, -0.3, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.980019 micrograms to milligrams.\nAnswer: 0.001980019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/(6\/24). Let i = -150 - -155. Suppose -g + 2 = i*l, -30 + 22 = -5*l - 4*g. Solve l = 3*n + h*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 16*z = 38925. Suppose 0 = -12*l + 17*l - z. Let i = 2986 + l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10)\/((-4)\/240*2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219078 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in 25.0801, -2\/9, -1\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1334 + 391. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561.5233 millilitres in litres?\nAnswer: 0.5615233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -597512837*r**4 - r**2 - 282480809.\nAnswer: -14340308088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4 - 6*m - 6*m + 7*m + 13. Let x be i(3). Solve -r + 1 = -x*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -20 + 0*p + 5\/24*p**4 - 2*p**2 - 1\/2*p**3 - 1\/60*p**5. Give f(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -1\/4*v**4 + 12 + 0*v - 5\/2*v**2 - 5\/3*v**3. Let m(q) = -2*q**3 - 8*q**2 - 8*q. Determine 8*c(l) - 5*m(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/10)\/((-11)\/((-495)\/54))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 20*c**2 - 4*c + 513. Is g(21) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 6*a - 9. Give b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/4 - (-267)\/12.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - j = -5 - 5, 3*j + 2 = 2*x. Let z(y) be the first derivative of -y - y**3 - 1 + 1\/4*y**x + 1\/2*y**2. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218271\/20 + 10910. Find the common denominator of u and 85\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -43*h. Let t(f) = -5*f. Calculate v(t(q)).\nAnswer: 215*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/((-10)\/(-5)))*9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.14 - -0.2.\nAnswer: -6.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 43*a**2 + a + 34. Let l be k(-9). Is l*((-45)\/(-20) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 6. Let x be y(8). Suppose -o + x*o - 383 = -3*i, -5*i - 3*o + 641 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, 25.\nAnswer: 1, 22, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1961 - -2264. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/2)\/5*2\/(-1). Calculate the least common multiple of 3\/(3 + -4)*b*10 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d**4 - 5*d**3 - 5*d**2 + 7. Let t be -4 - 1*12\/2. Let v(b) = -6*b**4 - 2*b**3 - 2*b**2 + 3. Let h(u) = t*v(u) + 4*n(u). Differentiate h(i) wrt i.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8817713 is divided by 179?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3960*c + 75260. What is l(-19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(3\/(-60)). Let r(p) = p**2 + 9*p - 4. Let k be r(i). Let z be 82\/k + (-8)\/12. Calculate the highest common divisor of 143 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -26. Let o(h) = h**2 + 10*h + 10. Let y be o(u). Suppose 4*t - 20 + 4 = 4*k, k = 3*t - 8. Put y, -1, t in decreasing order.\nAnswer: t, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65871109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/120 + k**5\/5 + k**4\/3 - 4*k**3\/3 + 5*k**2. Is s(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374 or 2\/621?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3801 from -31376218.\nAnswer: -31372417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -41*i**2 + 55*i - 34. Let x(t) = -14*t**2 + 19*t - 12. What is 6*k(m) - 17*x(m)?\nAnswer: -8*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8)*8\/3. Let c be 150\/(-10) + 2\/q. Let y(m) = m**2 + 2*m - 14. Let x be y(0). Is c < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + -0.02. Let g = i - 0.91. Let m = -0.3 - g. Put m, -0.4, -1 in ascending order.\nAnswer: -1, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.90679 months in decades?\nAnswer: 2.04922325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2 - (2 - 1)) + 11. Let j(h) = t*h + 2 - 77*h + 2*h - 1. What is the units digit of j(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4 + 7513*j**2 - 12 + 6 + 0 as u*j**2 + i*j + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l. Let r(v) be the first derivative of -v**2 - 25*v - 2047. Determine t(r(d)).\nAnswer: -14*d - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -11. Let u be 3\/9 + -3*f. Which is greater: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 31*r + 22 - 51 + 11.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000545438 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088334.86 rounded to the nearest ten thousand?\nAnswer: 2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 10:54 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + g = -4*x + 7, 4*x - 29 = -5*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3358305, 6716586, 10074867, 13433148, 16791429?\nAnswer: 20149710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000045265 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010381004 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*f - 5349 = 1080, 0 = 2*i - 2*f - 12848. List the prime factors of i.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -2\/13, -0.218, 5\/6, 2 in descending order.\nAnswer: 2, 5\/6, -2\/13, -0.218, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 488 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**3 + 34*o**3 + 17*o**3 - 1315 + 1315 - 29*o**3 - 42*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {q: 6, i: 3, p: 2, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-260)\/8) - (-2384)\/52. Calculate the greatest common factor of 23 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4775*a**3*i**2 + 2927*a**3*i - 12239*a**3 + 3*a**2 - 2*a - 4 wrt i.\nAnswer: -9550*a**3*i + 2927*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 23*w - 35. Let q be r(-24). Let u = q + 56. Let g be (4 + -16)*u\/9. Solve -10 = -g*m + 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w**2 + 23*w + 13. Let b(y) = 10*y**2 - 24*y - 11. What is -6*b(q) - 5*t(q)?\nAnswer: 5*q**2 + 29*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13556 = -7*d + 208701. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -23*r**2 - 90*r + 199. Calculate k(-7).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.003 (b) 0.2 (c) -21.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 3*n + 7 - 10 + 3*n as b + h*n + s*n**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 372 = 374 - 737. What is the closest to 2 in 0.1, a, 5, 673?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 22. Which is the second smallest value? (a) -0.5 (b) q (c) 2\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x. Suppose x*w + 2*w + 6 = 0. Let i(u) = 12*u - 49. Let v be i(4). Sort v, -2, w in descending order.\nAnswer: v, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/4)*o*o)**19)**(-7\/2)*(o\/o**(-1))\/(o*(o\/(o*(o\/(o**(-6\/11)*o))\/o))\/o)*(o*(o**2\/o)\/o)**(-5\/7) assuming o is positive.\nAnswer: o**(-153103\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Find o, given that 7*o**2 + 8 + o**2 - 2*o**3 + o**3 - 12*o - v*o**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 + 10 + 10 + b**4 + 5*b**2 + b - 22 to i*b**2 + t*b + u*b**4 + q*b**3 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638116694.\nAnswer: 2, 319058347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3*d + 2. Let b be n(-6). Solve k + 0*o = 2*o - 12, -4*o = -b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 2}. Give prob of picking 1 d and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 3950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 - 19*p**5 + 48*p**5 + (-4 - 2 + 5)*(0*p**3 + 0*p**3 - 2*p**5) + 2*p**2 + p**5 - 2*p**2.\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17337.\nAnswer: 3, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 21 - 8)*(i + 2*i**4 - i) to s*i**3 + y*i**2 + r*i**4 + q + z*i and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 109?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 22. Let o = -4 + d. Find the second derivative of -r**2 - o*r**2 + 2*r - 3*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8440 and -53\/37980?\nAnswer: 75960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413564 to the power of 1\/2, to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) - -6*(sqrt(2000) - -2*sqrt(2000)) - -5*sqrt(2000)*-1)\/((sqrt(490) - (sqrt(490) - (sqrt(490) + -4*sqrt(490)*-5)))*1).\nAnswer: 20*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5944289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**8\/84 + z**7\/21 + z**5\/3 + z**4\/12 - 105*z**2. Find the third derivative of b(m) wrt m.\nAnswer: 240*m**2 + 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + 2*k - 222 + 3*k**3 + 223 + k**4 - 6*k**4 + 2*k in the form x*k**4 + z*k + y*k**3 + h*k**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 59*c**2 + 72*c + 13424. Give m(-56).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2299)*1*-2)**2.\nAnswer: 9194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -228162951\/5 equal to -45632590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -5*y**4\/6 - 13*y**2. Let n(v) = 2*v**2. Calculate l(n(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-4) - (-4437)\/36?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 20. Suppose -o = 2*h + 2*h - 13, -2*h = -3*o - 3. Let w be (-18)\/2*o + -3. Calculate the remainder when t(w) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4080 - 4045. Solve 77 - d = -42*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -898102 > -898110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10))\/((-2 - 0)\/(-60)). Suppose 0 = 3*p + x - 7 - 1, p - 5*x = -f. What is the least common multiple of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 61. Let s = 4 - 2. Suppose -s*v + 355 = 3*v. Calculate the remainder when v is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608955.\nAnswer: 3, 5, 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + 0 - (-2 - -6). Solve 0 = -4*o - 16, 4*h - 8 - 8 = z*o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3434.\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 114 + -32?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 3083236 = 13*a - 189647. List the prime factors of a.\nAnswer: 67, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-32 + 4 - 3)*(2*n**2 + 0*n**2 - 3*n**2).\nAnswer: -31*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1656*a**3 - 2919*a**2 - 3609. What is the second derivative of y(o) wrt o?\nAnswer: -9936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001626825 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3772 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = n, -4*c + 4*c + 147 - 58 = 2*c + 2*n + 95 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -5*g. Let k = 762 + -762. Which is the nearest to k? (a) 0.2 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = 32. Suppose 15 - 1 = p*g. Factor 0*q - 2\/3*q**g + 0*q**3 + 0 + 2\/3*q**4.\nAnswer: 2*q**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-2 - -6)\/(-1). Let p be ((-3)\/(-4))\/(8\/(128\/90)). Which is greater: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/5 + 6*f**3\/5 - 68*f**2\/5 - 216*f\/5 - 144\/5 = 0. What is f?\nAnswer: -6, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*a = -88*a - y + 50, 3*a + 30 = 5*y for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 0*x - 8 = -2*x, 4*o - 12 = -3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*w - 273, 4*w = -5*r + 10 + 221. Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109522527 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 - 2*s**5 - 10*s**4 + (2 - 3 + 4)*(-3*s**5 + 2*s**5 - s**5).\nAnswer: -8*s**5 - 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3\/(x\/(x\/(x**(-2\/9)*x)))*(x*x\/x**(2\/9))**(3\/14) assuming x is positive.\nAnswer: x**(164\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 90. Let s be q(28). Let j be 1 - (28\/7 + s). Suppose 1 = -2*h + 3. Which is greater: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**2 + 17. Let n(i) be the third derivative of -i**5\/20 + i**3 + 22*i**2 + i. Let u(d) = -6*k(d) + 17*n(d). Let h(j) = 13*j**2. What is u(h(q))?\nAnswer: -507*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/336037 and 57\/325.\nAnswer: 8400925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 17 (c) 4 (d) 4\/3 (e) 5 (f) -1.05 (g) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17923 is divided by 1501.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*d - 7904 = -451*d. Is 415 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1585704 by -792852.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -76 + 40 + 40\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/64)\/((-2)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -30204?\nAnswer: 30204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 6*l. Suppose l*f = 14 + 1. Suppose f*r = -n - 684, 5*n - 660 = 7*r - 2*r. What is r rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -812 - -2486. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 16*r + 15*r - 305, -37 = o + 5*r. Is -64 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/4 - 5*l**3\/3 - 13*l**2\/2 - 30*l - 6201. What is v(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40849 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60557, -121078, -181597, -242114, -302629, -363142?\n\"Answer: q**2 - 60524*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 2*n + 45. Calculate the remainder when j(-7) is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -8 - (-14 + 4).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4726, 389, -1\/5, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -966*a**5 - 12272*a**3 - 3435306*a**2 + 2 wrt a.\nAnswer: -57960*a**2 - 73632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30829 = -89*u + 29761 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2840 and 4094357?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, y: 3}. Give prob of sequence jjyj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -867196 - -867196. Find l such that -44\/21*l + d - 2\/21*l**2 = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 2*t**2 - 2*t - 3. Let m(w) = -w. Let q be m(-5). Let s(n) = n - 5. Let d be s(q). Suppose -2*x - 4 = -d. Calculate j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489533.\nAnswer: 11, 191, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52436\/37 - -1417. Let w = t - -137\/333. Which is the second smallest value? (a) -25 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 64*o**2 + 28*o - 56. Let z(v) = 7*v**2 + 3*v - 6. Suppose 6*x + 7 + 11 = 0. Let j(l) = x*s(l) + 28*z(l). Let b(q) = 43*q**2. Determine j(b(t)).\nAnswer: 7396*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 8*x + 0*x)*(8*x**2 + 65*x**2 + 30*x**2).\nAnswer: 1030*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 515 divided by -103.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 5583?\nAnswer: -5583.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-189))\/(((-780)\/(-91))\/10)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660458 by -179.\nAnswer: 660458\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**6\/10 - 3*o**5\/10 - 3*o**4\/4 + 4*o**3 - 6*o**2 - o + 1. Suppose m(h) = 0. Calculate h.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 divided by -129\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 3*i**2 - 2*i**2)*(3 + 0 + 1)*(-16*i - 17*i - 17*i).\nAnswer: -200*i**3 - 1800*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:52 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -819 (base 13) to base 12\nAnswer: -966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 900.9699 centuries?\nAnswer: 90.09699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 8856.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0*k**3 + 42*k + 0*k**2 + 1 + 1\/12*k**4. Let j(v) = -4*v**2 + 13. What is j(x(z))?\nAnswer: -4*z**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a + 3*j - 8, 12 = 3*j. Suppose 0 = -a*r - 1 + 3. Let p(o) = 6*o**2 - o + 1. Give p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12031\/68 or -178?\nAnswer: -12031\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3*2\/4. Suppose 0*n = n. Suppose f*l = 2*t + 6, -5*l - 4*t + 0*t - 12 = n. Which is the closest to l? (a) 3 (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 787 + -503?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -386, -545, -702, -857?\n\"Answer: w**2 - 162*w - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.3 (c) -159 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**5 - 8*v + 0*v**5 + 8*v**5 wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -w + 120. Suppose 0 = -5*y + 3*a + 90, -y + 5*a - 4 = -0. Calculate the greatest common divisor of w and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -650721*b*r**2 + 24*b*r - 6*b + 5760*r**2 + 2*r - 797 with respect to b.\nAnswer: -650721*r**2 + 24*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*((u*u\/(u\/(u**1*u)))\/u*u)\/u))**(-14\/9)*u**(2\/5)*u**(-2\/11) assuming u is positive.\nAnswer: u**(806\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i**3 - 2*i**2 + i + 2. Let g(b) = 10*b**3 - b**2 + b + 1. Let t(o) = -5*g(o) + 4*r(o). Suppose -361 = -19*q - 399. List the prime factors of t(q).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 20954*o - 15 - 50488*o - 36622*o + 25 + (2 - 1 + 1)*(-o + 0 + 0) - o - o + o as u + s*o and give s.\nAnswer: -66159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.14\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/13)\/c*c*c**(3\/11)*c*(c**(-5)\/c)\/c*c*c\/(c\/c**3*c*c*c))**(-2\/87) assuming c is positive.\nAnswer: c**(1418\/12441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 9*f + 6. Let p be a(9). Let j be 2\/1 - (-12)\/p. Suppose 0 = -j*t + k + 80, -t + 61 = 2*t - k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 5. Let w(z) = -2*z - 5. Give -3*p(s) - 2*w(s).\nAnswer: s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5506\/25943 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*z - 9 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f + 140*f - 198*f - 45 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -15, 313 in increasing order.\nAnswer: -15, -2, 1, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a minute in milliseconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -542 - 3?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Let j be 56\/294*(-21)\/18. Put -3, 0.5, j, y in ascending order.\nAnswer: -3, j, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -24 - (5 + 0)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 677*s = 731*s - 13045158. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23006 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 902.1447 to the nearest integer.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 2)*1 - -1. Let g(b) = -1 + 0*b + 4 + b. List the prime factors of g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 64. What is the remainder when x is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 49. Let f = -13 - o. Solve f*p + p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506885 by -101377.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15))**(-15) assuming k is positive.\nAnswer: k**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**3 - 3*p**2 + 2*p + 2. Let u be b(2). Suppose 4*r - u = -10. Find the third derivative of -3*a**r + 5*a**2 - a**2 - a**6 wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let o(i) = 3*i**s - 3*i**2 - 2*i**2. Let x(z) = -3*z**2. Give o(x(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*sqrt(156) - (sqrt(156) - 5*-3*sqrt(156)))*1)\/(-1*sqrt(48)*-4 - (sqrt(24) + 2*(sqrt(24) + (sqrt(24) - (sqrt(24)*1 - sqrt(24)))))\/sqrt(2)).\nAnswer: -31*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from dxvxldsvlsvxdsvm.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 439 - 255. What is the tens digit of (-2)\/(h\/94 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9 + x**2 - 2 + 3 + 10*x. Let d be 12*1\/(24\/4). Suppose d*s + 29 = -0*s + 3*w, 4*w = -2*s + 6. Give h(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) - (-2*sqrt(637))**2))*1*5.\nAnswer: 12740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2534185567\/1620 - 1564312. What is the common denominator of -39\/4 and g?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let a(z) = z**3 - z**2 - z + 4. Let m be a(0). Let f(j) be the first derivative of -j**2 - 3*j**2 - 4 + 4*j - m*j. Determine f(n(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/37)\/(d**(-32)\/d) assuming d is positive.\nAnswer: d**(1223\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 51 = 13*x. Put x, 0, 2, -2 in descending order.\nAnswer: x, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*y - 95979, -233*y - 5*l - 76790 = -237*y. List the prime factors of y.\nAnswer: 5, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 8876*n**2 - 26576*n + 35456.\nAnswer: -4*(n - 1)*(n + 4)*(n + 2216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(130) + sqrt(130)*2)\/sqrt(10) - sqrt(13)) - (sqrt(637) + ((sqrt(637) - (sqrt(637) + -1)) + sqrt(637))*2)**2.\nAnswer: -5737 - 82*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8141224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, x: 1, n: 9}. What is prob of picking 4 u?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73245?\nAnswer: 3, 5, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473912 divided by 4?\nAnswer: 368478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + l - 23, -3*l - 43 = -3*i + 5*i. Let o be (-135)\/(-35) - 2\/i. Factor k**2 - 4 + 1 - o + 5 + k.\nAnswer: (k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -152. Let l = q + -81.3. Suppose 3*y - 45 = 12*y. Which is the closest to y? (a) -2 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240502219?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1056 divided by 24.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137588563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + 3 - ((2 - -4) + -5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 5*x - 27. Let n be p(-11). Let f = n + 33. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (1 + (-3 + 0 + -6 - -20)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + a**2 - 15*a**2 + 4*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277268*f + g - 48 = -277270*f, 0 = f + g - 26 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21274866 and 432.\nAnswer: 170198928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*h - 237 - 1723*h + 237 + 882*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 211 = -4*o, -5*h + 832 = 2*o - 241. Suppose q - h = -u, -5*q + 282 = 4*u - 576. What is the remainder when u is divided by 3\/(18\/48) + 36?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6 - -5.8. Let v = 6.18 - 6.18. Which is the nearest to v? (a) 0.4 (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 8:53 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -272, -711, -1440, -2525?\nAnswer: -4032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 28017, 24, 437, 5 in descending order.\nAnswer: 28017, 437, 24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 49 = w - 3*w, 4*a + 677176*w = 677172*w + 116 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 40. Let g be n(0). Suppose 5*c - g = -0*c. Solve f = -f - c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 6. Solve 3*p + 0*p + 15 = -q, 4*p = c*q - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a02 + 105?\nAnswer: -88b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10157, -14372, -25809, -48080, -84797?\nAnswer: -139572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**3 + 24*p**2 + 183*p + 156 = 0?\nAnswer: -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**22*m**(1\/11)*m**(1\/13)*m*m*m\/m**(-5\/3))**(6\/11) assuming m is positive.\nAnswer: m**(23882\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-137 - -127) + (-2 - -27).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**4\/3 - 1145*y**3\/3 - 1160*y**2\/3 + 2300*y\/3 = 0.\nAnswer: -2, 0, 1, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) 246\/5 (c) -294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 259991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 3 = 14*l. What are the prime factors of ((-9)\/(-2))\/l*190\/(-3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 163 and -0.16?\nAnswer: 163.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12245000 rounded to the nearest 100000?\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 163, -2\/17, -5, 0.1?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2224629 and 207?\nAnswer: 2224629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 13. Let s(q) = -4*q + 13. Let g(o) = -2*s(o) + 3*x(o). Let i be g(17). Let n = i - -18. Calculate the highest common divisor of n and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43632400 to the nearest 100000.\nAnswer: -43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/45))\/((n*n**(7\/3)\/n)\/n)*n**(-5)*n**(4\/11) assuming n is positive.\nAnswer: n**(-2482\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drolsgd. Give prob of sequence dgo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 64 - 135 = 3*q, r - 4*q = 107. Suppose b - r + 32 = -3*x, 3*x = 5*b + 81. Suppose u - 9 - x = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + 0*t)*(-6*t + 2*t + 3*t)*(12 + 2 - 1)*(-2 - 2*t + 2).\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsbkwvh. What is prob of sequence khkw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003044 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -4 - (-40)\/(-10). Is 156930\/30 - (-1 + (5 - c)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 13*u = 2688. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238954301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (1 + (sqrt(612) - (sqrt(612) + -1*sqrt(612))))) + sqrt(612))**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45)\/(47\/(145935\/276))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -32. Suppose d = 97 + 199. Suppose 3*v + 11 - d = 0. What is the highest common divisor of v and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21191 or 2\/9?\nAnswer: -21191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5, 3*t - 9 = 4*t + 4*f. Which is greater: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**5\/5 - u**4\/12 - u**3\/6 - u**2\/2 - 2*u + 5. Let n(v) be the first derivative of q(v). Determine n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2436119 divided by 7\nAnswer: -348017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - -58. Let i be 217\/h + 2\/11. Suppose -57 = -i*a + 3*f, 3*f = -6*a + a + 119. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(160\/(-12))*18\/54*-8\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, -2989.\nAnswer: -2989, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*x - 6195 + 777 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -71, -151, -253, -371, -499, -631?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:35 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(32) + (sqrt(114)\/(sqrt(6)*-2))**2.\nAnswer: sqrt(19)\/4 + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001685344 rounded to 7 decimal places?\nAnswer: -0.0001685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33580460.\nAnswer: 2, 5, 23, 37, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Let f = 1\/49 - 72\/1127. Which is bigger: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139173 is divided by 128296?\nAnswer: 10877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 2 (c) -3.1 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*x + u - 9, 9 = -3*u. Suppose -1622 = -x*v + 1542. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 26*i - 237. Suppose b + 5*j + i = 0, 3*j + 19 = -b + 7. What is s in -6*s**2 - 50 + 2\/5*s**b + 30*s = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 25 = 0, 5*v - 5*z = -3 + 8. Let j be (-1)\/v + 7\/(-28). Suppose -u - u + 6 = j. Solve 11 = u*i + 2*a, -4*i + 1 = i - a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335572 (base 13) to base 8\nAnswer: 4476135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -2130\nAnswer: -5\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, o: 1, c: 1}. What is prob of picking 1 c and 1 i?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -349.\nAnswer: -39\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 = -3*c - 0*c, -c - 3 = v. Suppose n - 4*q - 36 = v, n + 2*q + 30 = 2*n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (322 - 8\/(-4)*-1). Suppose 3 = -3*q, 5*d - q - a = 4*q. Let w = 24 - 8. What is the remainder when d is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -1 - ((-3 - -9) + -16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2215486723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*(40\/700)\/((-8)\/(-30))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1475.4358 to the nearest 10.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:18 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29.4 and 1384.06563.\nAnswer: 1354.66563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 33*c - 36. Let h(t) = -t**3 - 7*t**2 - 9*t - 5. Let o be h(-6). Is a(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 101. Let p = 6 - 5. Is j less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 864?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246272798096 - -4.\nAnswer: 246272798100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 33769 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 16*l + 54*l - 24*l - 14*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*r = 104, 3*q + 35 = 2*r + 127. Let t be (-2 + 6)\/(4\/q). Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195.889982926 - 195.89. Round g to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*(-3 - 9*(-9 - -10))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72353 divided by 1.\nAnswer: -72353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - -9 - (-17 - 10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 172.1. Which is the closest to m? (a) 5 (b) 4 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**5 - 1059*a**4 + 3627*a**3 + 192579*a**2 + 1114890*a + 1884600 = 0.\nAnswer: -5, -4, 18, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-35)*-2 + 12\/(-7). Does 10 divide 1 - a - (25\/(-5) - 30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-580)\/2842)\/(-3*(-2)\/60) - -2\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, -33, -4, -8\/5.\nAnswer: -33, -4, -8\/5, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o)**(-1\/9)\/(((o*o**(-1\/2))\/o)\/o*o**(-1)) assuming o is positive.\nAnswer: o**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 486496 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let c be u(-2). What is the second derivative of -6*z - 4*z**4 + c*z + 5*z wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*21\/14\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58215*j**3 + 3116761 - 58209*j**3 - 3116761.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 17*k + 28. Let n(x) = -x**2 - 6*x - 9. Suppose 149*o + 394 + 382 = -118. What is o*l(s) - 17*n(s)?\nAnswer: -s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6572068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 3. Suppose 44 = 3*l - l. Suppose l = 3*f + 5*q, 5*f + 0*f - 24 = -2*q. Give i(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x + 0*x + 7*x - 4*x + 2*x + 3*x - 3*x - 2*x + (-3*x + x + 0*x)*(3 - 1 + 0) + 4 - 4 + 2*x + x - 4*x + 5*x)*(-4 + 2*x + 4).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -253 + -696?\nAnswer: -8e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -183, 6, 0.08, 0.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 269216.08 days?\nAnswer: 38459.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*w - 3429, -2*w + 307 = -4*d - 2027. What is the remainder when w is divided by 229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, -108, -264, -430, -606?\n\"Answer: -5*c**2 - 131*c + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*c = -2, 6 = 4*r - 8*c + 6*c. Factor 1\/4*y + 1\/4*y**r - 1\/2.\nAnswer: (y - 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 411 - 22)*(7*h**3 - 3*h**3 + 5*h**3).\nAnswer: -3942*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428)\/(-2140)*4*10\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) -5\/94 (c) 3 (d) 1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, -49, -399, -899, -1555?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102251 is divided by 526.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:39 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-3*sqrt(105)*1 - sqrt(105) - sqrt(105))\/sqrt(3))\/(3*(sqrt(189)\/sqrt(3))\/sqrt(9))*-3)**2*6.\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/9)*j*j**4\/j)\/(j**(3\/2)*j**0)*((j**(-2\/7)*j)\/j*j**(-3))\/((j**6\/j)\/(j*j**(-2\/17))) assuming j is positive.\nAnswer: j**(-7885\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11651 + 79?\nAnswer: 1171a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 - 3.18. Let g = -5 + 5.4. Which is the closest to -1\/4? (a) j (b) 2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, g: 10}. Give prob of picking 2 g and 2 f.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 3. Let l be f(5). Let r be 3 - (-1)\/(l\/(-6)). Find the second derivative of 22*d**2 + d**3 - 22*d**2 + r*d - 14*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 71782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -9 + 23 + 10 + -8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -35, -66, -107, -152?\n\"Answer: f**3 - 14*f**2 + 20*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 140, 264, 424?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (sqrt(200)*2 + 5))*-6.\nAnswer: 30 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1009, 3867, 8571, 15121, 23517, 33759?\n\"Answer: 923*a**2 + 89*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 17 = 4*o - 2*m, 4*o + 2*m = -10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5108651 is divided by 855.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:21 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(130) - (sqrt(130)*1*-2 - sqrt(130)))*-4)\/(sqrt(90) - (sqrt(90) + -2*sqrt(90))*-2))**2 + -2.\nAnswer: 32*sqrt(13) + 3391\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -11, -11, -9, -5, 1, 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*j**2 + 57195*j - 114250.\nAnswer: -5*(j - 2)*(7*j - 11425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h. Let r(m) be the third derivative of m**5\/60 - 14*m**2. Calculate b(r(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-4))\/6)\/(80\/(-144)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 21\/5 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**5)\/w)\/(w*w**(1\/3)*w)*(w*w**(-2))**(-22\/5) assuming w is positive.\nAnswer: w**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1263)\/(-7) - 24\/56. Let o be (q\/21)\/(6\/231). Suppose 0 = 5*j - 5*k - o, 5*j - 254 = j - k. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3 + 1185*u**2 + 2391*u - 3573 = 0.\nAnswer: -3, 1, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12986749661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5934 + -5909.11. Let c = m + -24. Round c to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Suppose -19 + 3 = -4*u. Solve 4*w - u = v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43143 + -340?\nAnswer: 42303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(4\/19)*b*(b\/b**(-4\/7)*b)\/b)\/(b**(-5)\/((b*b\/(b*b**24))\/b*b)) assuming b is positive.\nAnswer: b**(-1814\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let m = -1383778 - -1383777.92. Let n = 11\/18 - 1\/9. Which is the third smallest value? (a) d (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, 2, 22, 62, 128, 226, 362, 542?\n\"Answer: g**3 + g**2 - 4*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*p - p**3 - 2*p**3 - 22*p**2 - p**3 + 122*p + 2 + 2*p**3 as m + t*p**2 + q*p + z*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/26, -45, -1\/9?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -144188 times -0.18\nAnswer: 25953.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 767800, 1535598, 2303396?\n\"Answer: 767798*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-5) - 81303\/(-205)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/18*(-30)\/(-10)*(-258)\/86?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2475\/4350 - (-2)\/(-29). Let d(s) be the first derivative of 21\/10*s**5 - 5\/4*s**4 - 5\/6*s**6 - 1\/2*s**3 - 8 + 0*s + u*s**2. Solve d(r) = 0 for r.\nAnswer: -2\/5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*z + 0*z + 5*z + 1 - 1 - z + (z + 4*z - 3*z)*(-2 - 3 + 4) + 0 + z + 0 in the form o + v*z and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3074*m - 797. Calculate c(-1).\nAnswer: 2277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 224*r. Let y(w) = -858663*w. Give y(l(i)).\nAnswer: -1717326*i**2 + 192340512*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/36772 and -20\/2362601?\nAnswer: 9450404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 11, -2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 252 - 74 = 0. What is the smallest common multiple of 12 and t?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 9) + 9997*1. Suppose 4*t = -l - 5004, 2*l = 7*t - 3*t - s. What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761667767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 90132 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*g + 168*g - 324*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4576 by -21.\nAnswer: 4576\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24*10*18\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13355910 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 + 49*o - 9. Let x be w(12). Solve -3*t = -a, -x*a = 5*t - 2*a - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203874767?\nAnswer: 47, 233, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 40*x**2 - 396*x - 312. Determine s(-24).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54676 is divided by 50033?\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35930 and 10?\nAnswer: 35930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0*q**2 - 2*q**2 - 3*q**2 + 4*q**2 - 3*q**2 + q**2 + 0*q**2 + q**2 + (-3*q + 6*q - 4*q)*(-1 - q + 1) - 3*q**2 + 4*q**2 + q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Let u be 0 + 0 + (4 - 2). Suppose -2*r = u, -4*a = -0*r + 3*r - 9. What is the smallest common multiple of a and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8629.\nAnswer: 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2 + -2 + -1 and 8 + 25 + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjjoxxxoxjkxx. Give prob of sequence ooj.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5 + 5*l + l + 5 - 7 + 4. Let a(o) = 7*o - 4. Determine -5*a(h) + 6*j(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70, 94, 144, 226, 346, 510, 724?\n\"Answer: g**3 + 7*g**2 - 4*g + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -285689884*h**2*y**3 + 18669*h*y**2 - 6856*y**3 wrt h?\nAnswer: -571379768*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -228, -240, -270, -324?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -703 - -1035. What is the first derivative of 180 - d + 4*k**4 + 171 wrt k?\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 18*h**2 - 12*h - 13. Let c be n(-1). Suppose c*j + 3*j = 80. Let x(y) = -6*y + 4. Let u be x(-4). Solve o + 10 = -j*o + 2*w, -4*w - u = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 61*h + 120 = 57*h, x + 2*h - 17 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 193786926?\nAnswer: 193786926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(3*o - 3 + 3) + (-4*o + o + 4*o)*(0 + 2 + 0).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7236 and 10152979?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367869 divided by -1?\nAnswer: -367869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y - 7. Let t(m) = 0*m**2 - 1 - 9*m - 5 + 7*m - m**2. Let s(d) = 6*i(d) - 7*t(d). Does 10 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 + 28*r**2 - 12*r + 20. Let z be a(9). Let q(t) = -t**3 - 6*t**2 + 5*t - 10. Determine q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3152 - 2787 = 73*i. Solve i*x - 8 = -j, 16 = 4*x - j - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:32 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 + -169.16. Round i to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2 - -3) + 2. Put 2, 3, l in descending order.\nAnswer: l, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -534 - -231. Let j = 798 + k. Calculate the remainder when j is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdxxhxxdxxda. What is prob of picking 1 a, 1 h, and 2 x?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 31*m**2 + 33*m + 1244. Calculate f(28).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 6*i + 6. Let l be a(-6). Let c = -45 - -85. Let z = l + c. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94\/5 - 7486\/395. Suppose v - 1 = s, 3*s + 1 = -2. Are o and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 2489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 75*p**2 + 30*p. Let l(a) = -103*a**2 - 40*a + 1. Let w(m) = -11*f(m) - 8*l(m). What is w(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 4*o**2 - o**2 + 43001*o - 6*o**2.\nAnswer: -2*o**2 + 43001*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/120 - y**5\/15 - 25*y**3\/3 - 2*y**2 - 50*y. Differentiate k(i) with respect to i.\nAnswer: -3*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1577 in 1\/4, 0.3, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0255 - 0.0755. Let c be 28\/(-18) - (-3 - -1). Put -4, -1, c, h in increasing order.\nAnswer: -4, -1, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173 + 181. Solve 9*d - 10 - m = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 1, n: 4, u: 2, t: 3}. Give prob of picking 1 t and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5, 224, 2387 in increasing order.\nAnswer: -4, -2, 5, 224, 2387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 280*j**2 + 150104*j - 301312.\nAnswer: -2*(j - 352)*(j - 2)*(j + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46436025 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 6*a + 4. Let o be f(-7). Let t = -53 - o. Let u be (2 - -1) + 3 + t. Sort u, 0, -1 in increasing order.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/(-5)*(105\/20 + -4) and 9\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 962184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -0.006424801284.\nAnswer: 0.393575198716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 130 and -162.9.\nAnswer: -21177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(2)*-6)\/(sqrt(3) + (sqrt(30)\/sqrt(2))\/sqrt(5))*5 - -2*(sqrt(78)*-1*2)\/((-2*sqrt(48))\/sqrt(8)).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 37*m**3 + 10 - 51*m**3 - 10*m**3 + (-3*m - 62 + 62)*(0*m**2 - 3*m**2 + 4*m**2) to s*m**2 + i + p*m + o*m**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 306679406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y = 27*y - 599 - 404. What is the greatest common divisor of 1088 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, x: 1, f: 1, p: 1, b: 2}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrrwwvwvwvwwv. Give prob of picking 2 v.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 402056117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2112 - 5310213?\nAnswer: -5312325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7942571, -31770290, -71483157, -127081172?\nAnswer: -198564335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21578 - -42533. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**4\/((f*f**(-1\/4))\/f))\/((f*(f*f**5)\/f*f*f)\/(((f\/(f**9\/f))\/f)\/f)))**50)**(-19) assuming f is positive.\nAnswer: f**(24225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Find the first derivative of 5*v + 0*v + 3 + t*v - 1 wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 123\/(5 - 2) - 1. Suppose -v + c = -6*v. Let q(d) = -7*d. Let i(m) = -11*m. Determine v*q(s) + 5*i(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0*b + 0*b**2 + 2*b - b**2 + 3*b. Let m be j(5). Suppose m = 2*v - 1 - 1. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -18*l. Let w(m) = -14*m + 39*m - 27*m. Calculate w(t(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004807 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1014744888 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13160)\/(-105) - (-2050)\/150?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 484.0493 - 484. Let h = 0.046 - l. What is h rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.5, -8.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b + 2*b)*(-1 + 0 - 1) - 4 - 19351*b + 19368*b + 5 to t + c*b and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1338*y + 1267*y + 6045*y + 1622*y to b*y + t and give b.\nAnswer: 10272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/605 and 193\/990.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(0 + 2) - -1. Let s(t) = -t**3 + 2*t**2 - t**2 + 1 + h. Let a = 1174 + -1172. What is s(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11944 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.03755 weeks to seconds.\nAnswer: 13933110.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 3. Suppose -2*x - x - 9 = 0. Let n be -4 - 2*x\/(-6). Determine h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 140 - (-2 - 4 - 1). Calculate the greatest common divisor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*k - 84, 5*k - 2*w - 30 = 73. Suppose -p = -42*p + 3075. What is the remainder when p is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:54 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83031, 166048, 249065?\n\"Answer: 83017*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 139 and 7?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 21 = 22*m + 4*x, 5*m + x - 18 = 0. Let d be (-4)\/8*(3 - (3 - 0)). Solve 23 = -5*b - 4*l, 3 = b - m*l - d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/21649460 and -109\/15463900.\nAnswer: 108247300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/11 + 828*j\/11 + 499365\/11.\nAnswer: -(j - 1233)*(j + 405)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/10)\/(-3))\/((-58)\/(-145))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5263 is divided by 2623?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3708292 take away 0.1?\nAnswer: -3708292.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 5281 + 2727 = 0. List the prime factors of g.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/2 + 1534965*n\/2 - 3069890.\nAnswer: -5*(n - 306989)*(n - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*d**3*u - 2909*d**3 - 2*d**2*u + u wrt u?\nAnswer: 6*d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 - 11) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1020*q**2 - 707*q wrt q?\nAnswer: 2040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(800) - (sqrt(200) + 0))*5.\nAnswer: 5 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11\/5, 10, -0.5, 0.5 in increasing order.\nAnswer: -11\/5, -0.5, 0.5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 3}. What is prob of sequence aa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 154 = -16*p. Suppose -5 = -b + q - 1, -q + p = 4*b. Solve -12*u = -15*u - b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260968 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 49, -2\/11, -0.9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3695 and 34733.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 11, 4\/7, 1\/11.\nAnswer: 0, 1\/11, 4\/7, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5)*(-14)\/(7\/1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -714548690*i**3 + 3*i**2 - 4832734*i + 7 wrt i.\nAnswer: -4287292140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017084911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**2 + 71*v**2 - 69*v - 61*v**2 in the form p + a*v + y*v**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 3*h**2 + 2*h - 3. Let r be b(2). Let i be (-5)\/2*(-5 - r). Solve -5*f - 4 = 4*y + 2, -15 = i*f - 5*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (-31)\/(-6) - (-219)\/18. Let w = h + -4. Calculate the smallest common multiple of 2 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14897310 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(10\/3)*g*g*g**6*((g\/(((g\/g**(-15))\/g)\/g))\/g)**(-38) assuming g is positive.\nAnswer: g**(1636\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -19 (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 48394 = -o - 48567, -6*o = -2*f + 58 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095663121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28418075?\nAnswer: 5, 7, 162389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000085092 rounded to 6 dps?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -748, 3\/7, -1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1690, 0, -5, 3, -4, 5 in increasing order.\nAnswer: -5, -4, 0, 3, 5, 1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8806 + 16584 + 1637 = -2457*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let z = 0.892 + 1.574. Let t = -0.534 - z. Which is the closest to -0.1? (a) w (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let j(q) = 11*q + 818. Determine -j(x) - 6*p(x).\nAnswer: x - 818","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 0*o**3 + o**3 - 8 + 2*o**2 - 10*o + 3*o**2. Let z be f(-6). Let k = z + -10. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 1, v: 2, y: 3, k: 9}. What is prob of picking 2 y, 1 v, and 1 u?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 403 = -36*h. What is the highest common factor of h and 1085?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-26 - -12 - (9 + -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 44*n = 65. What is the smallest common multiple of 8 and n?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810*v - 27850 = -6790 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 24324 = -h, -70*h + 2*z + 48704 = -68*h. What are the prime factors of h?\nAnswer: 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1804*l**3 - l**2 - 1884*l + 3. Let v(y) = -2705*y**3 + 2*y**2 + 2826*y - 5. Let r(b) = -8*o(b) - 5*v(b). Find the second derivative of r(c) wrt c.\nAnswer: -5442*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 times 19163.666\nAnswer: 90069.2302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q - 31*q + 3128 = 35*q. Is 174 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 7. Let s = -39 - -44. Let k(i) = 4. What is s*k(b) - 3*d(b)?\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*j = 6*j - 8, 0 = 5*t - j - 6. Suppose i - 4*p - 29 = 0, -2*i + 65 = p - t*p. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 10 = 3*a. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -336091?\nAnswer: -1\/336091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 1474563.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 1 s when three letters picked without replacement from {n: 9, q: 3, o: 1, u: 1, s: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 45 = 69. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let k(l) be the second derivative of 103\/6*l**3 + 53*l + 0 - 4*l**2. Let y(p) = 825*p - 66. Let c(a) = 33*k(a) - 4*y(a). What is u(c(o))?\nAnswer: -99*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4156 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25931\/2 - 12967. What is the nearest to 1 in 1\/3, 0.3, 0.127, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwvhzqw. What is prob of sequence vqh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.42027 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 2*q + 1. Let k be n(-1). Let y = -2 - 0. Let i = y + 5. Is k >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.8 - -20. Let b = -0.1 + 0. What is the closest to a in b, 6\/5, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2317 is divided by 442.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 25*y + 124. Calculate p(-7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/84)\/(6\/(-18))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 287583\/7 - 41083. Find o, given that -26\/7*o**2 + 14 + p*o**3 + 10*o = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 + -153.41. Round u to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*m + l - 23, -3*l = -2*m + 11. Let a(p) = m - p - p - 5. Calculate a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let y(c) = -3 - 33*c - 4*c**2 - c**3 + 30*c + 6*c**h. Does 7 divide y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1246 - 4?\nAnswer: -124a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 213 - 205. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*32\/(-48) - 3. Suppose 0 = -2*n + 4*b + 20, -2*b - 2*b = n + 2. What is the common denominator of n*8*k\/14 and 17\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933389 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3444, 4037, 5674, 8877, 14168, 22069, 33102?\nAnswer: 47789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 20. Let d be ((-16)\/g)\/(12\/6). Let s = 1.69 + 1.31. What is the third smallest value in 0.4, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 70*j + 34. Let u be s(17). Solve -3*i + 2 + 13 = u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10220194*f*k + 117949236*f wrt k?\nAnswer: -10220194*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15)*v*v*v**1*(v**(-3\/7)*v)\/(v*v\/(v*v**(4\/9))))\/(v**(-2\/5)*(v**1\/v)\/v*(v\/v**(-1\/3)*v*v)**(1\/17)) assuming v is positive.\nAnswer: v**(23311\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 460063*i**3 + 12*i**2 - 1121005 wrt i.\nAnswer: 1380189*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 2 + -2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*v + 8 + 6, -5*y + 31 = 2*v. Suppose 9*i = v*i - 36. Calculate the remainder when 9 is divided by 3\/i*1*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + 2*p**4 + 47 + 2*p**3 - 151 - 4*p + 48 + 58 to g + a*p**4 + q*p**3 + h*p + f*p**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**6\/180 - 6*q**3 + q**2\/2 + 131*q. Let g(z) be the second derivative of t(z). Let s(a) = 4*a**2 - 7*a. Calculate g(s(m)).\nAnswer: 32*m**4 - 112*m**3 + 98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t + 15, -24 = 2*b + 4*t. What are the prime factors of (-1)\/(3 + b)*-24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/((sqrt(8)\/sqrt(2) - sqrt(4) - sqrt(4))*4) - (sqrt(396) + sqrt(396) + (sqrt(396)*1*4 - sqrt(396))))\/((4*(sqrt(44) + sqrt(704)))\/sqrt(176)).\nAnswer: -61*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 451ab7 (base 15) to base 3\nAnswer: 20012110211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. Let s = 0.066 - 1.066. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -8*v - 21 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 41*i - 14. Suppose -2*p - 35 = -5*c, 5*p + 5*c - 13*c = -92. Give q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194 (base 10) to base 16.\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(-2*p**3 + p**3 + 2*p**3 + (0*p + 0*p + 2*p)*(p**2 - 3 + 3) + 2*p**3 - 2*p + 2*p) in the form d*p**3 + s + m*p + f*p**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1906830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 4:26 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-408)\/(-1020))\/((-12)\/10)*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a. Suppose 0 = 7*u - 54 + 26. Suppose 1 = u*x - 7. Let c(b) = -1 + 1 - 21*b**2 + 20*b**x. Calculate m(c(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3562*z + 249816 = 899*z for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 11}. What is prob of sequence ac?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 5*sqrt(27) - 2*(sqrt(81)\/sqrt(3)*6)**2.\nAnswer: -1944 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218 or -217?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/((90\/63)\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y - 231. What is the remainder when 227 is divided by m(14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110957 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neee when four letters picked without replacement from eeeeeennee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*y**5 + 2*y**2 + 319*y + 2 wrt y.\nAnswer: 6000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2910852, 2 in decreasing order.\nAnswer: 2910852, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + d - 41 + 16)*((-1 + 1 + 2)*(2 + 0 - 3) - 2 + 3 + 2) to the form f*d + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 <= 768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5495813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1799)\/(-28))\/(18\/8) - (-364)\/819.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -30*l**2. Let p(a) = 3453777*a. What is p(x(o))?\nAnswer: -103613310*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628 divided by 148?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -747 + 3*t**3 + 801 + t**3 to j*t + w*t**2 + a + i*t**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 3*w - 1. Let o be z(2). Suppose 6 = a - 2*j, 9 = -5*j - o. Suppose 0*i = a*i + 4*n - 4, -3*i - 3*n + 9 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 6*r**2 - r + 4. Suppose -22*d - 45 = -7*d. Let z be g(d). Factor 10*a**2 - 13*a**3 + 4*a - z*a**3 - 2*a**3 + 12*a**4 - 4*a**4.\nAnswer: 2*a*(a - 2)*(a - 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329*a*b**4 - 184*a*b**3 - 57*a*b + 3329*a wrt b?\nAnswer: 3948*a*b**2 - 1104*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -103. What is the remainder when c is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1794\/5 + -21083\/60. Let j = -5 - -9. Find the common denominator of j\/(-2) - 115\/(-16) and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k - 9*k + 7*k)*(-28*k + 1 - 93*k + 24*k).\nAnswer: 1164*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-10))\/((-3)\/15). Suppose -4*f + t*f + 3*p = 84, 4*p = -16. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - c - 31, 3*o = 2*c + 26. Let g = o - 27. Let l = g - -24. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**2 + 0*v - 4\/3*v**3 + 36. Let i(c) = 9*c - 5*c**2 - 9*c. Give g(i(d)).\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + -2*(-6)\/4. Let d be 1\/4 - k\/(-4). Sort 1, -4, d in decreasing order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4185 is divided by 597.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11792 is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24226 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -30*d**2 + 207*d + 14. Determine y(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5445.461 millennia to years.\nAnswer: 5445461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = -6*p. Let o be 7 + (2\/p - 1). Let a = o + -3. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 957071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -61*j**9\/28 + 6*j**5\/5 - j**4\/12 + 970*j**2. Find the third derivative of p(w) wrt w.\nAnswer: -131760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from hohhho?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3a30?\nAnswer: 3a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 666\/5 + -133. Let m = -92\/35 + 11\/5. Put -5, h, m in ascending order.\nAnswer: -5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1997 + 1994. Suppose -5*u - 5 - 5 = 0. Does 28 divide u - (-246)\/((-9)\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-55))\/(((-9)\/1215)\/((-1)\/3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -13\/2. Let b be 10\/(-8)*(-2 + -2). Let p = b + -9. Sort p, 1, a in descending order.\nAnswer: 1, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -3*o**6\/2 - 2*o**3 - 18. Find the third derivative of h(r) wrt r.\nAnswer: -540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -8, -51 in descending order.\nAnswer: 3, 1, 0, -8, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1067.41 + 1064.41. Let v = -20 + 8. What is the nearest to v in 3, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*m**2 - 7139*m**3 - 434*m**2 + 1325*m**2 - 432*m**2.\nAnswer: -7139*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9233 or 1108127\/120?\nAnswer: 9233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -940 * -1\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2 + 39*u - 222. Let w(d) = -36*d**2 + 195*d - 1110. Let y(o) = 2*w(o) - 11*z(o). Is 25 a factor of y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6694441 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 186 + -102. Suppose 2460 = -78*x + u*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2921 + 17617\/6. What is the common denominator of p and 77\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = 6. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*-1*70\/(-6). Let d = 14828 + -14734. Let v = d - a. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6711, 12995, 19279, 25563, 31847?\nAnswer: 38131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 2*z - 4*z. Suppose -2 = -2*u + 6. Let c(t) = 7*t**2 - 4*t**2 - u*t**2. What is c(n(j))?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4419 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 849 = 3*c, -c + 4*u - 51 - 221 = 0. What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 6*b - 1. Let w(r) = -3 - 5*r**3 + r**2 + 2 + 0*r**3. Suppose -11*t = 5 + 6. Let s be w(t). Calculate v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 597685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 167. Let d(s) = 3*s + 171. Determine -3*d(x) + 2*j(x).\nAnswer: -3*x - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 390*t**2 - 120*t**3 - 44*t**3 - 117*t**3 wrt t.\nAnswer: -1686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*o - 24, 0 = -0*o + o - 1. Suppose q - 3*z = 14, -4*q + 0*q - z - x = 0. Which is smaller: -6\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -427, -3136, -10553, -25048, -48991, -84752, -134701, -201208?\n\"Answer: -395*p**3 + 16*p**2 + 8*p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) 4 (c) -2 (d) -90 (e) 3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10040 and 37148?\nAnswer: 371480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -100*w - 10402. Determine a(-102).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/162*-9)\/(56\/2464)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -b2?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 20*g - 220. What is the remainder when 87 is divided by c(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646 times 14177\nAnswer: -9158342","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*q + 4*t - 132, 0 = -q + 4*t + 44. Let r = q + -4. Suppose 0 = -382*l - 1677*l + 20590. Calculate the highest common divisor of r and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 27 = -2*z - 5*w, 0 = -3*z - 4*w + 6. Suppose -242 + 128 = z*o. Which is bigger: o or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/(6\/18). Find the first derivative of c**d - c**2 + 6 + c**3 + 0*c**3 wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**9\/24 + g**5\/60 + 8*g**2. Find the third derivative of m(k) wrt k.\nAnswer: -2520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 41 = -0*o + o, y = -4*o - 23. Let n = -20 + 12. Let l = n - y. What is the second biggest value in 5, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 48502850.\nAnswer: 3\/48502850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 997038451 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 8875083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*v + 39, 75 + 67 = -0*v - 2*v + 8*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 15, 113, -2 in descending order.\nAnswer: 113, 15, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7965092 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 23*n + 52. Suppose -2*o = -5*o - 6. Let u = o - 19. What is the remainder when 15 is divided by r(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v. Suppose -m - 3*l - 5 = 0, 5*l + 3 - 18 = -5*m. Let o = 9 - m. Let u(d) = d - d - 15*d**o + 17*d**2. Determine u(n(s)).\nAnswer: 450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575201 is divided by 287396.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/224)\/((-157)\/(-82896)*-220)?\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 558540 divided by -139635\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -213\/23 bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = -4 + 30. What is the biggest value in -3\/5, t, -98\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/9299 and 2\/119.\nAnswer: 65093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 268 - 275 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0)\/((-2)\/4). Suppose 49 = y*v - 3. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.24, 4\/13, 5, -2 in descending order.\nAnswer: 5, 4\/13, 0.24, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:28 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7060)\/140 - -51)\/(404\/(-14))?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35117, -35115, -35111, -35105, -35097, -35087, -35075?\n\"Answer: f**2 - f - 35117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 3\/2 (c) 1 (d) 1\/2 (e) 154 (f) -7 (g) -0.05\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 5:13 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-6))\/(21\/(-81)). Solve 2 = -2*p + 2*i, -4*i = b + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 7\/((-21)\/(-90)). Suppose -5*o = -3*b, -4*b + i = 5*o - b. Suppose -3*z = 5*q - 34, z - o*q + 8 = -4. Put -11, -1, z in decreasing order.\nAnswer: z, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0*q**2 - 55 + 55 + 2*q**2. Let t(y) = 7*y. Calculate t(r(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 4 = -5*b + 6*j, -b - 5 = -5*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3652*p. Let i(g) = -5*g. Determine q(i(b)).\nAnswer: 18260*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1500) + sqrt(1500))*-1)\/((1*sqrt(108) + sqrt(108))*5).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 96, -1\/7, -3338, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 10\/21*m**3 - 26\/21*m - 2\/7*m**2 + 20\/21 + 2\/21*m**4 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -2.43.\nAnswer: -0.3645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.45 + 0.25. Let k = -3 - s. Which is the nearest to 1? (a) 0 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtggtgggtgtggggggggg. Give prob of picking 2 g.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 - 73 - 165)*(4*l**2 - 6*l**2 + 0*l**2)*(0*l + 3*l - 4*l)*(6 - 2 - 1)*(4 + 2 - 4).\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -112120313123 (base 4) to base 12\nAnswer: -1b7050b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.01 + -64. Let p = w + 18.99. Let y = -18.999525 + p. Round y to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 1239 + 2037. Let n = v - 86. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 + 2*a - 5. Let u be m(-4). Let z be -3 + u\/3 + -2. Put 3, z, -0.2 in decreasing order.\nAnswer: 3, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 227 = 309. Is f*(0 + -2)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 175235*a - 350450.\nAnswer: -5*(a - 35045)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 4*f. Let b(n) = 4*n**3 - 3*n. Let m be (-2 + -16)*(-8)\/36. Give m*b(w) + 3*a(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -1*sqrt(2448)*1 + (1*sqrt(272) + -2 - (sqrt(272) + sqrt(272) + sqrt(272) + 0)*-1))**2.\nAnswer: -562 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 4. Suppose c*w - 1 = 9. Suppose -w*o = -o - 92. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let r be 0 + 135\/(0 + l). Let s = r - -16. What is the remainder when s is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:49 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 5 + -9 - (2 + -12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, 0 in decreasing order.\nAnswer: 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b094b (base 13) in base 16?\nAnswer: a7bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 164. Calculate the highest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29498, 58994, 88490?\n\"Answer: 29496*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 35 = 4*b, 4 - 29 = b + 4*x. Let q(l) = -4*l**2 + 5*l - 5. Let h(z) = -7*z + z**2 + 3*z + 3*z + 1. Determine b*h(d) - q(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -525.5 rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 2, h: 1, d: 4}. Give prob of picking 2 i and 1 j.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 + h**2)*(-5*h + 0*h - 4*h)*(2 - 3 + 0).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(3\/26) assuming u is positive.\nAnswer: u**(3\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/10)\/5*(-2)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1437.42 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 429*k**2 + 649*k + 210. What is w(-216)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(28\/3))\/((-24)\/(-16))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3661.\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45250?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/2)\/((-2)\/(-11)). Let z = u + 105. Suppose -4*h + 11 = -41. Calculate the highest common factor of z and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 4 (c) -4 (d) 2\/5 (e) -4167\/896\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 45, 62, 77, 90, 101, 110?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*r + 5, 0 = 5*m - r - 4*r - 5. Let d(v) = v**3 - 5*v**2 + 5*v - 6. Let c be d(m). Let p(z) = 5*z - 31. Let g be p(6). Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194686096 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 2*h - 1. Let i be g(-1). Suppose 6 = -i*x + 2*l, 8 = -x - 3*x - 4*l. Let s(v) = v + 1. Determine s(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 49. Let b be i(20). Solve -b - 6 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {x: 3, b: 5, y: 1, s: 3, g: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*d - 42. Let t(j) = j - 1. Let z(n) be the third derivative of n**4\/12 - n**3\/2 - 10*n**2 - n. Give d*t(w) - 4*z(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186441464, -186441463, -186441462, -186441461?\nAnswer: -186441460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from {v: 5, b: 4, e: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 13*y + 196. Let t(j) = 5*j + 3. Let b(s) = 3*t(s) - u(s). Let p(o) = 8*o. Determine b(p(v)).\nAnswer: 16*v - 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3339985 + -0.07.\nAnswer: -0.4039985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -24186?\nAnswer: -35\/24186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (25\/2)\/(-5)*(-98)\/(-49)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f - 4. Let l be x(-2). Let o be (-3)\/(-21) - l\/28. Which is the closest to o? (a) 0 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 25. Let g(k) = 12*k**3 + k**2 - 2*k - 1. Is g(b) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/(-42))\/(14\/630*-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -207\/4 less than -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.9 - 4757.91\nAnswer: -4762.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((3*1837\/(-429) + 13)\/2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r - 5*r. Let a = r - -17. Suppose -a*q - 7*w = -4*w - 335, 5*q = -5*w + 345. Calculate the remainder when q is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 127*q + 8. Let n(b) = -38*b + 1. Determine -3*n(y) - r(y).\nAnswer: -13*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5432 divided by -679\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17732621 to the nearest integer?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1434 and 5\/1966.\nAnswer: 1409622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-26)\/10)\/(2 - 414\/210)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oos when three letters picked without replacement from ollloloosoloollosl?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3120.\nAnswer: -1\/780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 3, j: 2, d: 5, f: 4}. What is prob of picking 2 d?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45882 is divided by 133?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*k - 12, 2*j + 10 = -k + 5*k. Let y = 16 + -10. What is the remainder when -1 - -12 - (j - 1) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -5\/6*i**3 + 5\/12*i**4 + 0*i**2 + 0 - 15*i. Factor a(q).\nAnswer: 5*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 2*q - 2. Let n be x(-1). Suppose -97 + 1 = -n*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5405352706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2106)\/(-1248)*12\/54.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 2*r. Let m be u(-1). Suppose 1557 = 5*o - h, 2*h + m = -3. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 9:44 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -362, -321, -254, -155, -18, 163?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*i**3 + 5*i**4 - 2*i**2 - 7*i**4 + 5*i**3 to s*i**4 + c*i**3 + n*i**2 + k*i + g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.2046 rounded to one dp?\nAnswer: -217.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -308? (a) -4 (b) -4\/9 (c) 2 (d) 1\/6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4138 + -1919. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -28 + v**3 + 3\/5*v**2 + 2\/5*v**4 - 1\/5*v. Determine b, given that l(b) = 0.\nAnswer: -1, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441152 + 31?\nAnswer: 441223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvlo. Give prob of picking 1 o and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 68689074 to the power of 1\/2, to the nearest integer?\nAnswer: 8288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 285034 take away 3364088839?\nAnswer: -3363803805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000970283802 to seven dps.\nAnswer: -0.0009703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 90. Let n be x(0). Suppose 4*g = -5*p - 163 + 13, g + n = -3*p. Let b be (-2)\/(-5) - (-27)\/p. Which is greater: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 3.2. Let t = -2 - -3. Let y be (-14)\/(-21) + t\/(-3). Which is the biggest value? (a) y (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 21\/19, -0.3?\nAnswer: 21\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3364\/(-5046))\/(2*(-14)\/(-6))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-7))\/(4\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(65) - -6*-1*sqrt(65))*1)\/((-5*(sqrt(40) + sqrt(160)))\/(sqrt(392) + sqrt(392)*1)).\nAnswer: 70*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488879 is divided by 1488830?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/401, -0.06, 9 in descending order.\nAnswer: 9, 5\/401, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-238))\/(123\/(-861)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32, 0.3, 0.1, -6572, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2728047 and 565271.\nAnswer: 62745081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8208596?\nAnswer: 2, 11, 197, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/3 (c) -0.065 (d) 2\/7 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8456 and 906.\nAnswer: 25368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 814120187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**4\/24 - 11*j**3\/3 + 8*j**2 - 2. Let g be x(-25). Which is the third biggest value? (a) g (b) -0.2 (c) 0 (d) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g**2 + 13 + 2 + g**3 + 3*g - 5. Let z be s(-10). Let t = z + 32. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m + 643964 + 38*m - 643963 - 22*m.\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179907 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.55 to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1061 take away 83.02116284?\nAnswer: -82.91506284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 + 6*z - 1. Let c(j) = -8*j**2 - 5*j + 1. Calculate 3*b(h) + 4*c(h).\nAnswer: -5*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 4. Let d(r) = -2*r**2 - 3. Let o(g) = -4*d(g) + 3*q(g). Let n(i) = 7*i - 16*i + 9*i - i**2. Determine n(o(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6564 - 6561. What is the biggest value in -1, -3, j, 0.17, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.8 (b) 2 (c) 0.5 (d) 5\/3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.722043 centuries?\nAnswer: 372.2043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 2*v. Suppose -6*y + 3*y - 9 = 0, 176 = v*z + 4*y. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -53 + (8 - 2) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxpkxkxspskp. Give prob of sequence sssk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 10 - (4 - 2). Let u = h + -5. Suppose 0 = p - m + 2*m - 14, -u*m - 28 = -2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -458358237 - 62.\nAnswer: -458358299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 818482 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 6*w**2 - 4*w - 4. Let o be r(5). Is o greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 69*d - 35*d**2 + 16*d + 125*d - 72*d.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 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 41 and 111233?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4 - 2270*i**3 + 129435*i**2 + 695270*i + 563560 = 0.\nAnswer: -4, -1, 73, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(204))\/sqrt(12) + 1.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = l + 8, -17 = 5*l + 3. Let a(d) = 3*d**2 - 4*d + 3. Let y(m) = -1 + 4*m - 5*m - m**2 + 2*m. What is u*y(h) + a(h)?\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19477986 and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132921 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.39 and -17184644.\nAnswer: -17184642.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w + 7. Let f(r) be the first derivative of r - 5. Let i(n) = 5*f(n) - l(n). What are the prime factors of i(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*s + 128*s = -130 - 240 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9830 + 68648\/7. Let i = -160\/7 - l. Let c be (-24)\/(-14) + (-4)\/(-14). Is c bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**3 - v**2 - 9*v. Let y(l) = l**3 - l**2 - l - 1. Let n(z) = -f(z) + 4*y(z). Let c(t) = t**3 + t**2 - t + 1. Calculate 4*c(x) + n(x).\nAnswer: -5*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 11) + (-120 - -145)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/5 - 51*t**3\/5 - 108*t**2\/5 - 12*t = 0. Calculate t.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2097\/8 + -269. What is the common denominator of 30*6*2\/(-16) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 42 = w, 2*k - 3*w = k + 4. Let z = k - 5. Suppose -2*d + 6*d = 0. Which is the second biggest value? (a) 0.5 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 448*f**2 - 588*f - 592. Let g be w(148). Let p be ((-2)\/5)\/((-3)\/(-5)). Which is the nearest to g? (a) -8 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8320 + 20*k**3 - 2814 - 4*k**2 - 2754 - 2752.\nAnswer: 20*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -211*f + 5277. Give k(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3895.7451 - 3896. Let y = 0.0561 - i. Round y to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 * -62\nAnswer: 28210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.6. Let i = -3.52 + 3.12. Which is the biggest value? (a) t (b) i (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -22\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -20. Calculate the highest common divisor of 90 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/6*3\/(18\/8). Let z(x) = -13*x - 25. Let o be z(y). Solve i + o + 4 = u, -3*i + 25 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*g**5 - 432*g**4 - 6*g**2 + 253038*g wrt g.\nAnswer: -320*g**3 - 5184*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10641662389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 25*o**2 + 1792*o - 18142. Determine m(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 4*z - z - 1 + 2 + 2*z**2. Let r be j(1). List the prime factors of ((-1)\/3)\/(r\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19881 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o = 4. Let p = -4 + 6. Put o, 3, p in decreasing order.\nAnswer: 3, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -49 (b) 50 (c) -4\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -5 + 2 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*p + 15*p + 108*p - 185*p)*(-p + p - p**4).\nAnswer: 263*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 2*b - 1. Let l be s(-2). Let n be 4 + (-3 + l - 1). Let d be n - (5 - (-4)\/(-2)). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1282018\/15 + 85468. Let q = -149672 + 1648418\/11. Let v = -184 + q. Which is the second smallest value? (a) g (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 47, -31, 4, 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.777 + -26. Let w = x + 0.423. Which is the closest to w? (a) -4 (b) -4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 - (0 + 1 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/13 + 10*n**3\/13 - 118*n**2\/13 - 90*n\/13 + 900\/13 = 0 for n.\nAnswer: -10, -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from {k: 7, w: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57829131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -20. Suppose -g = -2*k - d - 0*d, -3*k - 2*d = -16. Suppose -k*h = -5*h + 9. Solve -3*s - h = -9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1497.\nAnswer: 5\/1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*r**2\/5 + 876*r\/5 + 4\/5 = 0 for r.\nAnswer: -1, -1\/218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4053 + -4052.9968. What is g rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1219 - -4778?\nAnswer: 5996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:04 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109114 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -197, -2532 in descending order.\nAnswer: -6, -197, -2532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 + 145.897.\nAnswer: 214.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23180189*a - 6907345.\nAnswer: 23180189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 54295.\nAnswer: 1846030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 26*g + 3417 = -22*g, -3*g - 2746 = 4*y. Let a = 685 + y. Let f(b) = b**2 + 5. Determine f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*n + 192, -82 = 4*a + 2*n - 850. Suppose 198*f - a*f = 10158. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6537936?\nAnswer: 2, 3, 136207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174028?\nAnswer: 2, 139, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235142 (base 7) in base 9?\nAnswer: 64405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 3*v)*(-v - 19*v + 0*v)*(6*v - 1 + 1).\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 122762.8 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -52473 at most as big as -104943\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, y: 2, v: 3, d: 2, w: 1}. Give prob of picking 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/(-207)*2\/(-1*8)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9735 - -230?\nAnswer: 9965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37754 + 153.\nAnswer: 37907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8911.0012733 - 8911. Round x to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28837051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 - 3*z**2 + 28*z + 90. Let h(g) = g**3 + g**2. Let v(c) = 3*h(c) + u(c). Differentiate v(x) with respect to x.\nAnswer: -3*x**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(4\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29241\/1604 - 8\/401. Find the common denominator of 10\/9 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3827*a + 3832*a - 20985 = 0. Calculate the lowest common multiple of 1 and a.\nAnswer: 4197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23935, 40, -3, -4, 3 in descending order.\nAnswer: 40, 3, -3, -4, -23935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**35\/v))\/v)\/v*v**14*v\/v**(-1\/30)*v**(-2\/13) assuming v is positive.\nAnswer: v**(-8237\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 402 and 3161931.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + -1 + 16 + -16 - -43) + -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31956*o - 31957*o = -3*c - 44, 4*c + 12*o = 488 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4680*b - 3962*b + 522*b + 2317*b)*(0*b**2 - 2*b**2 + 0*b**2).\nAnswer: 11606*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -15 (c) -0.5 (d) -2\/13 (e) 18.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 2, d: 4}. What is prob of picking 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3\/(-4) - -1). Let q be 8\/(-7)*(-4 - (-26)\/3). Let y = 67\/12 + q. What is the nearest to -2 in y, c, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from {b: 2, k: 1, j: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4617)\/2052)\/(198\/12)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(2\/9)))**(-18))**(-15) assuming b is positive.\nAnswer: b**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 12*g**2 - 27*g + 16. Let a be x(-14). Let f = 5 + a. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -852981*a**6 + 12*a**4 + 2*a**2 + 697327*a - 2 wrt a?\nAnswer: -102357720*a**3 + 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390096652.\nAnswer: 2, 7, 103, 181, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 83, 122, 161?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100 - -200011011221?\nAnswer: 200010210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 6*r + 305. Let q = 85 - r. List the prime factors of (-2)\/(q\/(-196))*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21380*h**2 + 42794*h**2 + 3*h**3 - 21414*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -31. Let x(f) = f - 32. Let c(z) = -4*j(z) + 3*x(z). Let u be c(-8). Suppose -6 = 2*k - t, -1 = u*k - 5*t + 5. Let g(p) = -p - 5. Determine g(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {u: 4, o: 9, q: 1}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 212614, 212612, 212610, 212608?\n\"Answer: -2*z + 212616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 480*x**2 - 3. What is w(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1434 - -2505. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1713 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5079.719ml in litres?\nAnswer: 5.079719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, c: 14}. Give prob of picking 2 d and 1 c.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 6\/(-3))*(-4)\/(-12). Suppose 5*r - 101 = -5*h + u*r, 4*r + 87 = 5*h. Let p = -2 + 21. Calculate the greatest common factor of h and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*z = -14, 2*z = q + 5*z + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-40)\/l*l*l**19 assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 539, 455, 319, 119, -157, -521?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2 - 12*a - 248. Let m(d) = -28*d**2 + 26*d + 495. Determine -6*m(l) - 13*v(l).\nAnswer: -l**2 + 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 - 2 + 11*y**3 - 10*y**3 + 4. Let g be o(4). Let j = 7 + -4. Put g, j, -4 in descending order.\nAnswer: j, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 5. Let t = 79 + -96. Let o = -13 - t. Calculate a(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 - 4920584*a + 4920580 = 0. Calculate a.\nAnswer: 1, 1230145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -12. Let j(v) = 10*v**2 + 10. Let a(w) = 3*w**2 + 1 + 0*w**2 + 2. Give d*a(f) + 5*j(f).\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -82*a - 908. What is the remainder when i(-14) is divided by 57?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(5 + (-2*sqrt(63) + -3)*-2 + (0 + sqrt(63))**2*5 + sqrt(189)\/(sqrt(3)*-1)).\nAnswer: 81*sqrt(7) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/11 in -5, -2, 1\/4, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (250326\/122742)\/((-144)\/25 + 2). Let o = f + -1\/6819. Calculate the common denominator of -43\/22 and o.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 8*l**2 - 3*l - 4. Let t(d) = 14*d - 65. Let m be t(5). Give w(m).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.348 + 0.448. Let f be (10\/25)\/((-11)\/(-15)). Which is the third smallest value? (a) 1 (b) f (c) q (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148130929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let d(s) be the second derivative of s**5\/40 - s**3\/6 + 2*s. Let t(g) be the second derivative of d(g). What is t(a(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127\/12 + -37\/4. What is the third smallest value in 5, -30, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 + 138. Suppose -4*j + 3*l + 135 = -2*l, a*l = 2. Solve -3*b + j = b + 3*x, 0 = b - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -0.77. Let l = -1.2 + h. Let z = -23 + 23. Which is the fourth smallest value? (a) -4 (b) 2\/35 (c) z (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6954 is divided by 4005.\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 - 4 = 2*j, 0 = 4*y. Let w(x) = 4*x**2 - x + 1. Let r(s) = 5*s**2 - s + 1. Give j*r(a) - 4*w(a).\nAnswer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 9*f**2 + 10*f - 7. Let w be m(7). Let d = 61 + w. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a + 30. Let o be v(-5). Suppose 3 = 4*f - 33. Let m = f - o. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 48, 50, 52?\n\"Answer: 2*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087 smaller than 2086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 134 - 79 - 119 - 125 + 361.\nAnswer: -2*w - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/10)\/(48\/(-120)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 494674 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 3.932?\nAnswer: 8.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -760, -1144, -1530, -1918, -2308, -2700?\nAnswer: -3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -5136\nAnswer: -1\/2568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1348286 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsvjfbv. What is prob of sequence jvst?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -18*l - 45. Let r be 18\/l*3\/(-9). Which is the second biggest value? (a) -1.4 (b) r (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 334556*v + 27981929284.\nAnswer: (v + 167278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -3, 399 in decreasing order.\nAnswer: 399, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7164*m**4 - 2*m**3 + 5*m**2 - 56123*m wrt m?\nAnswer: 85968*m**2 - 12*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*sqrt(52)\/(sqrt(252)\/sqrt(7)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 + 17*s**2 - 8*s**2 + 494*s**3.\nAnswer: 494*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3 - 2*s**3 - s**3 + 4*s**2 - s**3 + 5*s**3 - 5*s. Let m be z(-5). Suppose 5*q + m*l = 32, 2*q - 4*l + 2*l = 0. Solve -u - 8 = -q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -683939 at most -28041554\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14082 * 4.\nAnswer: -56328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 710*o. Let c(u) = -9*u. Determine c(t(k)).\nAnswer: -6390*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60237 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 15 = 0. Suppose 6 = 3*m, -r*n + 6 + 7 = 4*m. What is the derivative of 1 + 3*u**2 + n - u**2 wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -16. Let r = 91.9 - 86. Let i = -6 + r. Which is the smallest value? (a) -1\/2 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 15)*3*1. Suppose 0 = l*g - 209 - 16. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 3. Let f be y(-4). Let z be f + 6*(-2)\/4. Solve 5*x = 5*k + z, x + 3*x - 12 = 5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11967504 and 242814?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 620936, 1241877, 1862820, 2483765, 3104712, 3725661?\n\"Answer: q**2 + 620938*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2087 + 1046 - 64*u + 1047 as s + i*u and give i.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2695 - -0.17.\nAnswer: -2694.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 + -107.7. Let v = 0.7 - t. Let n = 0.359 - -0.641. Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*1*sqrt(119))\/sqrt(7).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 54 - m**2 - 54. Let o(i) = -36*i + 2. Let v(g) = -4*g + 1. Let b(d) = 4*o(d) - 8*v(d). What is c(b(p))?\nAnswer: -12544*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0.2. Let t = 0.45 + -0.4. Let d = 0.35 + t. Which is the second biggest value? (a) d (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8795857 is divided by 724.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2264 - -0.22.\nAnswer: 2264.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/((-6)\/27*-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5462.\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74\/5? (a) -2\/7 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 752*y - 693*y - 14278. Calculate the greatest common divisor of y and 1331.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from mzmztmmzcttzrtmmr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 6. Suppose -j = j - 16. Let v be q(j). Suppose -3*z + 1 = o - 0*o, -z = -3*o - 17. Are v and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28158 divided by -2.\nAnswer: 14079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v = 53 - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405841 at least 2405856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2671 plus -2?\nAnswer: -3.2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -573 (base 16) in base 13?\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (2\/(-7) - (-11)\/308). Let u = -1 - -1. Let g = 3 - 2.8. What is the second biggest value in u, g, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.617257 - 7.633. What is m rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -687\/4 (b) 0.1 (c) -34486\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 21*g**2 + 42*g - 64. Let w be r(19). Solve 0 = -w*k - k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253373 - 58529006\/231. Let h = q - 1\/77. What is o in 0 + 2\/3*o - h*o**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*q + 2 = 0, 9 = 4*a + 5*q - 5. Let l = -1 + a. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/17)*p**4*p*p*p\/p**(-5)*p*p*p\/(p\/((p*p**(2\/5))\/p*p)) assuming p is positive.\nAnswer: p**(1299\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85542, 85520, 85462, 85350, 85166, 84892, 84510?\nAnswer: 84002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*g + 0*g - 47 = 0, -4*x + 2*g = 26. Let s(j) = -2*j**3 - 15*j**2 + 5*j - 2. Let o be s(x). What is the highest common factor of o and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 207, 407, 679?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0. Let y = 0.0043 + 4.9957. What is the closest to -1 in c, y, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10 and (-1 - 8\/(-6))*(-2)\/3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255 and 5508.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 308*f**3 - 304*f**2.\nAnswer: -4*f**2*(f - 76)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**5\/30 + 2*n**2. Let j(d) be the third derivative of 0*d**3 - d**2 + 0 + 0*d - 1\/24*d**4. Calculate j(l(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 27 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 8, -4.\nAnswer: -35, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-5 + (-8 - (-2 + -6)))) + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Suppose 0 = -13*r - 11*r + 4*r + 80. Put r, 5, 3, b in descending order.\nAnswer: 5, r, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/15 + 5*o**4 - 150*o**3 + 33*o**2. Find y such that t(y) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949 divided by 590?\nAnswer: 2949\/590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + (sqrt(98) - -1*sqrt(98))**2 - sqrt(98)) + 5*-2*sqrt(98) + -1*(-3 + (sqrt(98) - 3*sqrt(98))) + -1.\nAnswer: -63*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 7*x**2 - 6*x + 5. Let v be 3\/(-2) + 60\/8. Calculate z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/33750 and 97\/78624?\nAnswer: 49140000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -123*z**3 - 2*z**2 - 3*z - 5. What is the units digit of y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -7\/40*y**6 + 56*y**2 + 1\/14*y**7 - 2\/5*y**5 + 0*y + 1\/2*y**4 + 0*y**3 + 0. Find p such that n(p) = 0.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/3 - 2*b**2 - b + 1. Let x be v(5). Suppose x*n + 3*s - 96 = 64, 2*n = 3*s + 62. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316136000 rounded to the nearest 1000000?\nAnswer: 316000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105521 - 105521 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y**3 - 492*y**3 - 23*y**3 + 534*y**3 - 8*y**3 - 13*y**3.\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34516 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18850085, -37700167, -56550249, -75400331?\n\"Answer: -18850082*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 3, m: 1, o: 5}. What is prob of sequence vom?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 7*z - 5. Let f be a(-9). Suppose x - 5*l = -3*l + f, -3*l + 75 = 3*x. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -15*n + 162. Let s be j(10). Solve -5*q + 3 = 2*y - s, 0 = q + 2*y - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 1, e: 1, s: 2}. Give prob of sequence ssa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205727349.\nAnswer: 3, 4027, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*n**2*w + 445761*g*n**2 + 69*n**2*w - 28*n**2 + 8*n*w + 2*n - w with respect to g.\nAnswer: -2*n**2*w + 445761*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -36\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 - o + 1. Let g(w) = -5*w**2 - w + 2. Let d(z) = 3*b(z) - g(z). Let y be d(1). Sort -2, y, 5 in increasing order.\nAnswer: -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103223 (base 6) to base 7\nAnswer: 33546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 3*m**5 + 2*m**5 + (-7*m**5 - 6*m**5 + m**5)*(2 + 0 - 5).\nAnswer: 39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -320*g + 6. Let i be k(-5). Suppose -21*o = -19*o - i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*d + 52 - 22 - 30.\nAnswer: -807*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 244878 = -57663. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/(-6) - -3)*-3. Suppose 2*v = 6*v + z, -1 = 2*o - 5*v. Let k(l) = -2*l - 4. Give k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 246 = 0. 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 next in 231412, 462861, 694312, 925765, 1157220, 1388677?\nAnswer: 1620136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(484) + -2*sqrt(484))*-4)\/sqrt(11) - ((-1 + -1*sqrt(704))**2 + 1).\nAnswer: -710 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -54, -124, -222, -348, -502, -684?\n\"Answer: -14*d**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 6.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -104 + 112 - (-3)\/((-6)\/(-10495184)). Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 199930576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -52cc6?\nAnswer: 52cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + (-17)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-6) - 43\/(-6))*4. Solve -u + 2*u - 4*b = -12, 0 = 4*u + 3*b - v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*z - 83 - 853, -20 = 4*a. Is z\/(-3)*3\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2. Let x(f) = -f**2. What is s(x(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -482649?\nAnswer: 2\/482649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 22*x + 63. Let d be y(-5). Factor 14\/3*r**d - 2\/3 + 1\/3*r**5 - 2*r**4 - 16\/3*r**2 + 3*r.\nAnswer: (r - 2)*(r - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 2*d**4 - 5*d**4 + (3*d + d - 2*d)*(0*d**2 + d**3 + 0*d**2) + 8*d - 8*d + 5*d**4.\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5622 rounded to two dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 54*q - 2. Let h(v) = -56*v + 2. Determine -5*h(o) - 6*w(o).\nAnswer: -44*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 + 2567*q**2 + 718*q - 124115. Determine h(428).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-627)\/228 - 10\/8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736419.5 kilometers to micrometers.\nAnswer: 736419500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.53 times 15127\nAnswer: -38271.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgmgccocjcocccccco. What is prob of picking 1 m and 1 g?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 + q + 6. Let t be f(-5). Let y = t + 48. Suppose -8 = -4*r - 5*d + 36, -3*d + y = 2*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.444 take away 0.5?\nAnswer: -1.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:11 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 656832581 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536 - 1071 + 0*b**2 - b**2 + 535.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = -4*x. Suppose -x*f + 357 = 3*f. Suppose r + 2*r = 51. Calculate the greatest common divisor of f and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 248. Determine g(-16).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - -22. Suppose q - h = a, -2*h - h - 227 = -5*q. Suppose -z + q = z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:34 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 32, -21 in decreasing order.\nAnswer: 100, 32, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1210) + sqrt(1210)*-2 + sqrt(1210))\/(sqrt(35)\/(sqrt(28)\/sqrt(4))) - (-1 + (-4*(0 + sqrt(2)) + -2)**2).\nAnswer: -35 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108658.\nAnswer: 2, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 651 and 751383.\nAnswer: 163050111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345\/8 + -43. Let c = l + -7\/120. Are c and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12750535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 15*b - 888. Suppose -u + 7*a - 2*a + b = 0, -514 = -2*u - 4*a. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmmmmmmmjmm. Give prob of sequence jmmj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 412?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2 - (-45)\/21). Let v be 1 + (-15)\/10 + h\/(-2). Let i(u) = -u**3 - 3*u**2 - 7*u + 6. What is the units digit of i(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126232 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 72. Suppose -2*i = -b*c - 330, 5*i + 2*c - 798 = 3*c. What are the prime factors of i?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214 in 0, 7483, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38003998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Suppose -s = 2*k - 5, 0*k = s - k + 1. Let o be 3*s + 3 + -3. Let l(j) = o*j + 12*j + 9*j - 5*j. What is l(g(z))?\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b - 5 = 0. Suppose -4*k = 10 + 2. What is the remainder when 3\/9 - 41\/k is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w + 2. Let d be g(4). Suppose -5*s + d = -28. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.2 + -4.7. Let y = 9.9 + t. Let g = -281\/2 - -138. Which is the nearest to 1? (a) g (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 6, g: 2, f: 3, t: 1}. Give prob of sequence owt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 57.6685 times -5\nAnswer: -288.3425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -31*p**2. Let l(n) = -10*n + 11. Let s be l(-4). Let t(g) = -23*g + s*g - 31*g. Calculate t(d(m)).\nAnswer: 93*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2659396393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -17*f**2. Let h(g) = g - 5*g + 2*g**2 + 4*g. Determine h(v(t)).\nAnswer: 578*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o - 3*o)*(-o**3 - 5*o**3 - 25*o**3) + (-o**3 - o**3 + o**3)*(0*o + o + o) + 4*o - 4*o + o**4.\nAnswer: 61*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -2, 13, 54, 133, 262, 453?\n\"Answer: 2*z**3 - 5*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47*(-810)\/(-3807)*17\/21165.\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-185)\/(-35) - 10\/35. Suppose s + 2165 = -3*s + 5*z, -3*s - 1615 = r*z. Let y be (1 - 0) + 530\/s. Are 1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from eacaekvq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 330871369.2 + 0.4?\nAnswer: 330871369.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33513 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 41*q = 1573. Suppose 2*a + 0*a = 0. Suppose -m - 2*k = -a*m - 5, -5*m + 5*k = -85. Calculate the highest common factor of m and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:33 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmq when three letters picked without replacement from qqeqmqqlq.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/6*((-35)\/(-10) + -2). Suppose 0*p = 3*p + v, 5*p + w = -5*v. Let n be p\/4*(2 + 2). Let g(b) = 2*b**2 + b - 1. Give g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 4 + sqrt(117) + -4)**2 + (sqrt(156) - 4*(2*sqrt(156) + sqrt(156)))\/(sqrt(432)*2).\nAnswer: -11*sqrt(13)\/12 + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/((-6)\/(-9))*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275.527 microseconds in nanoseconds?\nAnswer: 2275527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d + 9. Let s(i) = 4*i - 6. Let c(n) = -7*s(n) - 5*v(n). Let f be c(3). Find u such that -8*u**2 + 14*u**2 - u**2 + f - 8*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) + sqrt(27)\/(sqrt(63)\/sqrt(7) + sqrt(9)) + sqrt(3))*-2.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-17 - -16) + 0 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3430740 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2 + 3)*-7. Let x be (4\/1)\/2 - 33. Let k = f - x. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + 0*y**2 - 2*y**2 + (-4*y + 6*y + 0*y)*(-44602 - 609*y + 44602) as c*y + v + o*y**2 and give o.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*a*u + 492*a - u**2 wrt u.\nAnswer: -74*a - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 665 - 326. List the prime factors of r.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let k(j) = 145*j**2 + 580. Give k(n(p)).\nAnswer: 145*p**2 + 580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 5*l**2 + l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/2 - 3\/(-3). What is the greatest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 481.8 + 357.6. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 4*l + 37. Let w be j(-9). Let x be -1 + -14*w\/(-8). What is x rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34388 >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 2670197\nAnswer: -37382758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose 0 = -6*i - i. What is the nearest to i in 1\/9, -5, t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3, -4\/3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44387331 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0 (c) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-3) - 1\/3. Suppose 3*n = -5*t - 0 + 31, v*n = -5*t + 35. Find p such that -p - p**n + 0*p + 1 - 2 - p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.161? (a) 11 (b) 1\/7 (c) 0.072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 1223 = 212. Let u = 103 - 96. What is the highest common factor of c and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 547 = -195. Suppose 0 = -y - k - 2*k + 214, 0 = 4*y - 4*k - 888. Calculate the highest common divisor of y and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44834913 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a18 (base 15) in base 11?\nAnswer: 82503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -370, -469, -572, -679, -790?\n\"Answer: -2*r**2 - 93*r - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255544443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/((-200)\/1500)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (-5*(-2*sqrt(363) - sqrt(363)))**2 + 5 + 3).\nAnswer: 245058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**8\/280 - 8*x**7\/525 - x**6\/50 + x**4\/60 - x**2 - x. Let z(p) be the first derivative of h(p). Factor z(y).\nAnswer: -2*y*(y + 1)**3*(3*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 14 - 16. Suppose 4*i - p + 30 = 0. Put 0.3, 2, i in decreasing order.\nAnswer: 2, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 389 or -0.3?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjbbfjjkjbkbbjjhhb?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 4*u - 4. Give i(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -140, 1\/4, 1\/5 in decreasing order.\nAnswer: 1\/4, 1\/5, -3, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/4 + 5)\/((-441)\/(-111) + -4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 8*c**2 + 17)*(2 - 2 + 1) - c**2 + 11 - 11 + (-5 - 11 - 9)*(0*c + 0*c + 2*c**2) - c**2 + 3*c**2 - 3*c**2 to w + g*c + p*c**2 and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hghg when four letters picked without replacement from {h: 2, i: 1, t: 1, g: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3748 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54549 is divided by 4462.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 687, 635, 561, 465, 347, 207?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a + 956. Let b = a + -151. Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(2\/3)*i*i)**(-11\/4)*i\/i**9*i*i*i**(2\/5) assuming i is positive.\nAnswer: i**(-553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (588\/154)\/(7*12\/616)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2*m - 7. What is h(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10110101001011100110111 (base 2) to base 10\nAnswer: -5936951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 432668 divided by -307\nAnswer: -432668\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 859783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3 - 3)*(2 - 2 - 3*d**2)*(-318*d + 229*d - 1215*d - 1701*d - 2204*d) to h + a*d**3 + u*d**2 + i*d**4 + r*d and give i.\nAnswer: -15627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3 - (193 - 182)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {o: 4, t: 13, m: 3}.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 3. Let g be b(-3). Suppose -22*o = -28*o + 654. Suppose -o*u + 94*u + 30 = 0. Solve 4*t - 3*i = -2*i, -u*t - 3*i + 14 = g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i - 13*i + 27513*i**2 - 27171*i**2 - 9*i.\nAnswer: 342*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 7*g**2 + 67*g - 11. What is the remainder when 606 is divided by p(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -28. Suppose 5*y - 4*y + b*i - 184 = 0, 0 = -4*y + i + 702. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 + 105*s**2 - 738*s = 0. Calculate s.\nAnswer: -41, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 - 145. Suppose 0 = -2*m + 1 + 9. Let v(o) = 7*o**2 - 4*o - o - 1 + m*o. What is v(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/2)*((j*j*j**0*j)\/j)\/j*((j*j**(-1)\/j)\/j*j)\/(j**(-6)\/j) assuming j is positive.\nAnswer: j**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -1 - 3) + (1 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 8 + 8 + 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + -5 + ((sqrt(147) - (0 + sqrt(147))) + 0 - sqrt(147) - sqrt(147)))*-3)**2.\nAnswer: 1008*sqrt(3) + 5432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 4*g - 1. Let b be p(3). Let l = -3 + b. Differentiate -6 - l + 3 + 2 + 3*k**4 with respect to k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*17\/(-204).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -11. Suppose -4*g = -2*a + 748, 5*a - g - 1898 = 2*g. Suppose -w*h + a = -3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 47*y**2 + 44*y**2 + 20 - 144*y**2 + 336*y + 51*y**2 as a + f*y**2 + s*y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5\/4 + 525*q**4\/4 - 4881*q**3\/4 - 12105*q**2\/4 + 29268*q + 71280 = 0. Calculate q.\nAnswer: -3, 8, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -2. Suppose -3*p + 1 = -2. Suppose 2 + p = r*x. Put -1, x, -0.2 in decreasing order.\nAnswer: x, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28824824 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -202120210100?\nAnswer: 202120210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 - 8*j + 6. Suppose 3*q = -21 + 3. Let t be r(q). What is the common denominator of -145\/18 and 0\/2 - (-565)\/t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1034 + -13?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*v*y**5 - v*y**4 - 2*v*y**2 - 25*v*y + 12*v + 142*y**4 + 3*y**2 wrt y.\nAnswer: -780*v*y**2 - 24*v*y + 3408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*v + 705, -r = r - 3*v - 301. Let c be 8\/(-16) - 27\/(-2). Calculate the highest common factor of c and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -58*p**2 + 15*p + 5. Let l(w) = 87*w**2 - 23*w - 8. Let r(c) = 5*l(c) + 8*m(c). Find the second derivative of r(j) wrt j.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 46095.\nAnswer: 8\/9219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7) + (4 - (-5 - -10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -729.9 + 730. Which is the second biggest value? (a) o (b) 4 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6341212 + 423*c + 6341213 - 2*c**2 + 6*c**2 - 6210*c**3 wrt c.\nAnswer: -37260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t - 15. Let j = 30 + t. Let m(a) = -a**3 - 22*a**2 + 3*a + 66. Let l be m(-22). Solve 3*z - 8*z + j = l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 5*v - 3*v + 7*v - 4*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 9 (c) -6\/103 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10423.994083 - -10424. What is h rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205887 divided by 3?\nAnswer: -68629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.58 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 81*n**2 - 1012*n + 2991. Give y(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80.9463, 0, 1, 10, -5, 0.5 in decreasing order.\nAnswer: 10, 1, 0.5, 0, -5, -80.9463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 38*x\/3 - 1120\/3.\nAnswer: 2*(x - 16)*(x + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h + 10. Let x be u(-9). Let n = -40 - x. Which is the third smallest value? (a) n (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 3*c. Let z(f) = 2*f**2 - 2*f. Let n(m) = -m**2 + 6*m + 5. Let b be n(7). What is b*s(j) + 3*z(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 28*i**2 - 145*i - 83. Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 63, 144, 257?\n\"Answer: 16*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-64)\/112)\/((-10)\/105).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -367632702*q**2 - 1052764433*q wrt q?\nAnswer: -735265404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 384787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let y(c) be the third derivative of 5*c**4\/12 + c**3 + c**2 + 127. Give g(y(z)).\nAnswer: -10*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*z + 257 - 257 + 4*z - z - 5*z + (-1 + 5 - 3)*(2 - 2 + 2*z) - 2 + 2 + z + 4*z - z - 2*z + 5 + z - 5 - 24*z + 9*z + 0*z.\nAnswer: -92*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**3\/6 + 5*c**2\/2 - c + 2. Let d be f(3). Suppose 5*g - 25 = 5. Solve d*x - g*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -95. What is the remainder when 1\/(-4 - -1) - 782\/(-6) is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/168 + (2765\/(-49) - -10).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y - 1. Let n(u) = 3*u**2 - u - 1. Let o(z) = 4*h(z) - 4*n(z). Let f(q) = 2*q**2. Calculate o(f(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjj when three letters picked without replacement from {m: 2, j: 2, n: 1, z: 1, r: 2, p: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63423871*n**3 + 17050296*n**2 wrt n?\nAnswer: -380543226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4033.258 - -4052. What is v rounded to 1 dp?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524971?\nAnswer: 524971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1)*14*1\/2. Let x(l) = -8*l - 135. Calculate the remainder when x(t) is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/13*(86\/215 - (-38)\/(-20)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12183.\nAnswer: 3, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + 2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 11*z - 23. Let d be 19 + -16 - (1 - 6)*2. Let h be k(d). Solve 2 = s - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 + -22 + 4 - -7) + -78.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:24 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 1035?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 19 + 229 = 0. Is 7 a factor of (-42)\/d + 136\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:09 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28565396 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -52. Suppose 0*c - 5*c = 0. Let w be 2 + c*3\/i. What is the greatest common divisor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 80967723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 7662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 2695*c**2 + 2690*c.\nAnswer: 5*c*(c - 538)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(3 + sqrt(343)) - (sqrt(343) - (3 + sqrt(343)))*-4)*4 + 2)**2*-6.\nAnswer: -890616 - 178080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24506 and 20.\nAnswer: 245060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 33\/(-9))*-6. Suppose -4*q + u*q - 45 = -p, 3*q = 6. Suppose -3*r = -p + 34. Solve -i - 2*s + 4 = -1, -r*i = -4*s + 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 8*q**2 - 7*q + 5. What is b(8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -368.\nAnswer: -9\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**2 - 21240*v + 10134365 = 0.\nAnswer: -4681, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 25 - 4 = 5*s, 2*s = 4*g - 84. Solve g*j = j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13738 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399081\/51 + (0 - (-4)\/(-34))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76297 and 247842001?\nAnswer: 3221946013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.19968 + -1.2. Round c to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128949282701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*h = -12, 3*j + 12 = h - 6*h. Let t = 46 - 46.93. Let v = -0.07 + t. Put j, v, -2 in increasing order.\nAnswer: j, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/16 - (-3 - 756\/(-16)). Let r be 11\/o + ((-15)\/4 - 1). Suppose f - q + 19 = 4*f, 17 = f + 3*q. Put f, 2, r in ascending order.\nAnswer: r, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = c + 3*w, 5*w - 8 = 12. Suppose -c*g + 2*j - 18 = -j, -2*g - 3 = 3*j. What is the nearest to 0 in 4, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-69000)\/9)\/(2\/(-60)). Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + (2*sqrt(1539)*5 - sqrt(1539)) + 5)**2.\nAnswer: 810*sqrt(19) + 124684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 34 - 25. Solve -q = -0*q - c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111 (base 2) in base 16?\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(119)*-2*5)\/(sqrt(847) + -1*sqrt(847) - sqrt(847)).\nAnswer: 10*sqrt(17)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.5 + -5.7. Sort a, 2\/5, 4 in increasing order.\nAnswer: a, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 0.039 (b) 1\/8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 14)*((-3000)\/2250 + (1 - -5) + -9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 470057, 470061, 470065, 470069, 470073?\nAnswer: 470077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 + 2783*g**3 + 2167301*g**2 + 298817365*g - 16089377850 = 0. Calculate g.\nAnswer: -1295, -234, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 9. Let p(i) be the first derivative of -i**2 - 10*i - 52. What is -6*p(z) + 7*y(z)?\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25802855 divided by -79885\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 2. Let l be r(-3). Suppose -4*k - g = 4 - l, 5*g + 15 = 0. Let c = -4 + k. Let s(q) = q + 2. Give s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0743 in 3, 730, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 6*r**2 - 18*r + 6. Let a be f(8). Let z be (-61)\/(-4) - a\/(-40). Suppose z = w + 1. Calculate the remainder when w is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -40*(7 - (-37)\/(-5)). What is the third derivative of 26*p**3 - p**6 - 13 + f*p**3 + 6 + 1 + 5 - 32*p**2 wrt p?\nAnswer: -120*p**3 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**5\/20 + d**4\/12 + 3*d**2\/2 + 11*d - 7. Let a(i) be the first derivative of z(i). What is a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/3)\/t**(-39)*t**(-10)\/t**(-1\/7) assuming t is positive.\nAnswer: t**(640\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 1, f: 12, j: 4}. Give prob of sequence ifj.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -585 - -1215\/2. What is the common denominator of y and 17\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**4 - 2*q**4 + q**4 + (-564*q + 75*q**2 + 564*q)*(3 - 3 - 3*q**2) + 37 - 37 - 5*q**4 to the form l*q**3 + z*q**2 + g*q + t + r*q**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1. Let r(u) = -u**2 + 3*u - 1. Let l(y) = -4*b(y) + r(y). Let a be l(5). Let j(g) = 3*g + 7. Let i be j(-5). Which is bigger: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:33 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouguuogggugu. What is prob of picking 3 u and 1 g?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1836 and 1224?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741811, 741923, 742035, 742147, 742259, 742371?\nAnswer: 742483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 133656759*f**2 - 1488677502360384*f + 1488677368703628.\nAnswer: -3*(f - 22276126)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -26*i - 2. Let l(h) = -h. Calculate -3*l(m) + o(m).\nAnswer: -23*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 416942*y - 11*y**2 + 2*y**2 + 3*y**3 + 416942*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -40*x**2 - 16*x - 112. Let j(y) = -7*y**2 - 3*y - 21. Let b(g) = -16*j(g) + 3*m(g). Let n(f) = -581*f**2. Give n(b(d)).\nAnswer: -37184*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:46 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*o + 120 = -0*x, -129 = -x - 2*o. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 + 1046\/5. Let n = 3.8 + -4.8. Suppose -3*q = 3*w - 2*w - 3, 0 = 4*w + 5*q - 5. Which is the nearest to w? (a) d (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + y**4 + 3*y**3 - 10*y + 10*y - 5*y**4 to k*y + b*y**4 + o*y**2 + x + p*y**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 14*i - 10. List the prime factors of g(-9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3, -5*n - q - 30950637 = -n. Let h = 12797274 + n. Suppose -619614 = 4*s - h. Round s to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22453321 (base 6) to base 3.\nAnswer: 1022010121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-64)*(-32)\/(-24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6755.54796 seconds in weeks?\nAnswer: 0.0111698875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2821 divide 1350474762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/120 - 7*c**5\/30 + 19*c**4\/8 - 12*c**3 + 12*c**2 - 76. Solve x(s) = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, 7, 25, 61, 121, 211?\n\"Answer: b**3 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -243*l**3 + 222*l**2 + 55*l - 34 = 0. Calculate l.\nAnswer: -34\/81, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -542 + 796. Let u = 259 - i. Which is greater: u or 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 86822.33 microseconds?\nAnswer: 86822330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 27*c + 1 - 2 - 26*c. Give j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001596049938 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618\/(-255) - -4 - ((-356)\/(-623) - 36\/(-35)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 28 = 4*w, -2*a + 2*w + 2 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*q = -1621 - 2969 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2400*x + 2632*x + 1392 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 28*g**2 + 35*g - 53. What are the prime factors of p(29)?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/12 - -3)*33. Suppose -i*d = -13*d + 158. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 43*n + 39*n - 5*n + 0*n**2 + 5*n.\nAnswer: -n**2 + 82*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64217780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 34*u**2 + 21*u**2 + 17 - 14 - 39*u**2. Let f(h) = 2*h. What is f(c(l))?\nAnswer: 32*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 182610?\nAnswer: 1278270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1\/67, -0.025, 7128?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:13 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2436\/870*15\/12.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = -11*g + 193 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*y - 1275*y - 45*y.\nAnswer: -1083*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 2*w**2 + 21*w + 47. Determine y(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 12\/5*n**4 + 3 + 27\/25*n**5 + 14\/5*n**3 + 1\/5*n**6 + 9\/5*n**2 + 3\/5*n. Factor t(o).\nAnswer: 3*(o + 1)**4*(2*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*g = 15, 1 + 14 = -2*x - 5*g. Let p = -0.66 - -0.16. Which is the closest to x? (a) p (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, 1\/18, -4763?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = -i. Let x be 4\/i + 390\/25. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765151 is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1839 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*w - 640*w + 1029 - 1026.\nAnswer: -774*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114812 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*z - 19*c, 2*z - 5*c + 13 = -0*c. Suppose 0 = j - 3, 5*j - 34 = 5*u - 9. Suppose -2*i - 4 + 8 = 0. Sort u, i, z in descending order.\nAnswer: i, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 8*c - 4*c + 16, 3*b - 3*c - 27 = 0. Suppose l = -b*l + 585. Is l a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 1873 = 17*o + 1737 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-59)\/177*(-1)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*m = 7, -5*m + 56 = -4*b + 33. Let c be 10*(2 + (-3)\/2). Let d be 3\/6*(-6)\/c. Do b and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let v(p) = 4*p**2 + 15*p + 23464. Determine r(v(s)).\nAnswer: -4*s**2 - 15*s - 23464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2941.004454 + -2941. What is u rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g - 30*g = 0, 4*s - 14*g - 6848 = 0. What is the highest common divisor of s and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -93. Let a = j + 43. Calculate the highest common factor of 36 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3462 + -3462.0258. Is -2\/3 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12702319853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 41 - 33)*(8*f**3 - 4*f**3 - 24*f**3) to d*f**2 + i*f**3 + g*f + o and give i.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(847) - sqrt(847) - sqrt(847))**2 + sqrt(847).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014121 - -4010?\nAnswer: 1023131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -316.39 - 7.11. Let y = d + 323. What is the nearest to 2 in y, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011761653 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -10. Let l(o) = 23*o + 28. What is the tens digit of l(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22322 (base 5) in base 8?\nAnswer: -3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = -36*s + 197 + 219. Let v(y) = -y + 3. Let p be v(0). Solve -26 = 5*w - s, -p*w - 16 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13329, 1, 50, -4, -31 in descending order.\nAnswer: 13329, 50, 1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 16*a + 22. Let v be (-2)\/(7\/(665\/(-2))). Suppose 5*b - 10 + v = 0. Let w be l(b). Solve 3*j + w*o = 32, 3*j - 8 = 3*o - 2*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313342 (base 5) to base 15\nAnswer: -3182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-223 + (4 - 0))*-1. Let f = p - 55. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16591*t + 2787291. Give o(-168).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 17. Let a(f) = 3*f - 18. Let y(k) = -4*a(k) - 5*z(k). Let o be y(8). Put o, 2, -2 in descending order.\nAnswer: o, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jinl when four letters picked without replacement from jnjnqinnnqjjql?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Suppose -3*l - 5*g = 22, -q = -l - 5*g - 15. Let h(k) = k + 4. Let n(r) = -r - 3. Calculate l*n(c) - 3*h(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 41*g**2 + 268*g - 7412. Give l(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - m = 79, 5*m = 4*g - 101 + 3. Let i = g - -5. What is the remainder when i is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 5*y**2 + 4149*y + 340. What is d(67)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = 39*r - 111 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2 - -4 - 2). Suppose x = 4*c - c - 3*b + 9, -3*c = -2*b + 4. Differentiate -2 + 2*m**2 - m**2 - 3*m**c wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 14 - (-5)\/((-20)\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2030 - -1303015?\nAnswer: 1300545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 468969830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/7)*g**(-5)\/g)\/(((g*g**(-1\/4)*g*g)\/g)\/(((g*g**(-22)*g*g*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-745\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4 + 2933091\/(-128772) - -24.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103637 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g + 3. Let k be (8\/10)\/(52\/10). Which is the second biggest value? (a) g (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1, 0.0608, -16, -1\/8, -9 in ascending order.\nAnswer: -16, -9, -1\/2, -1\/8, 0.0608, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -569\/4 - -143. Let q be 16\/42 + 6\/21. What is the closest to -1 in a, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -6. Let y = 6 - u. Suppose -a - 2*t + 1 = -0, -4*a - y*t + 10 = 0. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s**2. Let p(n) = -n**2 - 2*n + 2. Let w = 5 + -7. Let u(o) = -2*o**2 - 5*o + 5. Let i(y) = w*u(y) + 5*p(y). Calculate v(i(a)).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and (-317)\/(-5) - (-76)\/(-190).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 222*w - 136*w - 5*w + 118*w to the form r + l*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 321*s + 1975. Let b be k(6). Solve 27 + b = 10*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2406883 (base 9) to base 11\nAnswer: -810934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-22))**(1\/82) assuming n is positive.\nAnswer: n**(23\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 111097*l + 1. Let b(r) = -16*r**2. What is i(b(t))?\nAnswer: 256*t**4 - 1777552*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 45*y**2 - 636*y - 104. Calculate r(56).\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 116620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104858*p**5 + 3*p - 5918?\nAnswer: -2097160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*z - z + 2*z)*(-z**2 + 11*z**2 + 14*z**2).\nAnswer: 576*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 287140?\nAnswer: 1\/57428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/5 + q**4 + 4*q**3\/3 + 14*q. What is s in b(s) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9736 - 9827)\/(1\/17*-1*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-510)\/(-1360))\/(12\/40))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/17, -80, -15, 2\/9, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*j + 113 = 1195 + 86 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -7 - 14 - 3\/(-12). Let k = -343\/20 - m. Is -0.118 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9540 and 360?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**4 + u**3 + 6432*u - 36185 wrt u?\nAnswer: -8*u**3 + 3*u**2 + 6432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12148, 24297, 36410, 48469, 60456?\n\"Answer: -3*w**3 + 12170*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + 0*g - 3*g**2 - 3*g)*(-3*g - g + g) to the form x*g**3 + o*g**2 + a + w*g and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g. Let s(b) = 84*b. Let u(c) = -6*c + 16. Let d be u(8). Let k(t) = d*h(t) - 5*s(t). Let i(l) = -3*l**2. What is k(i(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7462632244?\nAnswer: 2, 109, 17116129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495 + 495 - 20*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*o - 21, -b = 2*o + 43 - 52. Let c = -1 + 1. Solve 4*l + b + 5 = c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 928 and 930 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*s**3 - 70*s**3 + 3*s**2 - 3*s**2.\nAnswer: 58*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 - 2*d**5 + 4*d**5 + (-3*d**2 + 2*d**2 + 0*d**2)*(-2*d**2 + 2*d**2 - d**3).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -16*p**5 + 24*p**4 + 8*p**3 - 92*p**2 - 156*p - 116. Let c(h) = -h**5 - h**3 - h**2 + h - 1. Let l(k) = 20*c(k) - j(k). What is x in l(x) = 0?\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 9 - 0 - -2) + (-73 - -109).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -719 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53299 is divided by 4810?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.2. Let x = 100462\/5 - 20019. Let i = -73 + x. Which is the biggest value? (a) o (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.19? (a) -1492 (b) 87 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*f + 83 = 0, 2*f = w + w + 44. Let p = w + 41. Let r(q) = -q**3 - 8*q**2 - q. What is the remainder when p is divided by r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*i - i. Let d be (-2)\/5 + i\/20. Let n = 3\/10 + d. What is the nearest to n in 0.3, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 2*z - 1. Let x be s(-1). Let n be 4\/(2 + x)*4. What is the tens digit of -27*(-1)\/(n\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*a + 5*w, 0 = -446*a + 447*a + 4*w - 19. Solve -a*g = -0 + 60 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 9. Which is the closest to -1? (a) 3 (b) h (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6593 - 8*s - 2274 - 2192 - 2307. Determine h(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 - -90905530.\nAnswer: 90905530.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 304, 683, 1214, 1897, 2732?\nAnswer: 3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 978389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5087100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 41*o + 113. Let u(a) = 34*a + 114. Calculate -5*r(i) + 6*u(i).\nAnswer: -i + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -128*p**2 - 1413*p - 63. What is t(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*k - 1731*k - 1 to n + c*k and give c.\nAnswer: -1734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*z**2 - 1613*z**2 - 6*z + z + 714*z**2.\nAnswer: -4*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -94210*d**2 + 94203*d**2 + 7 - 5 + 96*d**3 as r*d + p*d**3 + i + w*d**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -81*z + 75 + 484 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*8\/144*(-165)\/(-25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -361*o + 284. Let h(y) = -311*y + 284. Let f(d) = 7*h(d) - 6*s(d). Calculate f(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3) + -8)*2. Calculate the smallest common multiple of 4 and (-4 + (-88)\/v)*35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m - m + 0*m + (1 + 2 - 7)*((-3*m + m + 0*m)*(1 + 2 - 4) - 2*m + m + 2*m).\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 257735 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170339 - -170388. Let v(x) = x**2 + 1. Let l(d) = 3*d**2 + d - 4. Let o(w) = 2*l(w) + 6*v(w). Let a be o(2). Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 553844655 and 351?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.26225 - 8.23. Round f to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 - h. Let i be c(1). Let r(p) be the second derivative of p**3\/3 + 3*p**2\/2 - 15*p. Let k(w) = -1. Let z(g) = -4*k(g) - r(g). What is z(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -352\/7, 0, -94\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-11))\/d)\/(d*d*d\/(d*d\/((d*d*d**(-1\/19)*d*d)\/d)))*(d\/(d\/(d\/(d\/d**4))))\/((d**(1\/17)*d)\/d))**(-23))**(10\/13) assuming d is positive.\nAnswer: d**(-816730\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41557599 to the nearest integer?\nAnswer: 6447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 27*j**2 + 4*j + 39. Let y be o(-26). Let n = y + 1605. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q + 2*q**4 + 1 - 7*q - 2 to the form v + f*q + j*q**2 + x*q**3 + z*q**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -28. Let p = 4 + 0. Calculate the highest common factor of p and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + -102 + 128 + -4?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/(-18))\/(2\/(-12)). Let h(v) = -v - 13. Let k be h(y). Let c(p) be the first derivative of -p**2\/2 - 6*p - 1. Calculate c(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 + -1 - -5 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 68 = -3*o, 4*k + 1127 - 1155 = -o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16987, -135861, -458519, -1086847, -2122731, -3668057, -5824711?\nAnswer: -8694579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((-10)\/((-15120)\/(-8232))).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6713*m + 1754. Is o(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 98 = 0. Calculate the greatest common factor of c and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-676)\/(-33) - (-4)\/22)*342. Let g = z + -4747. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 9*p**2 - p + 11. Let o be w(9). Suppose -79 + 319 = o*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3245.003 + 3241. Let t = 4 + w. Let q = t - 0. Round q to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2037*p**3 - 3413*p**3 - 15124*p**3 - 288*p**3)*(2*p - 2*p - p).\nAnswer: 16788*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*d - 32 + 4 = 0, -35*d + 299*d = -343*t + 341*t + 14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-1\/8)*y**(-12) assuming y is positive.\nAnswer: y**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 2*z**2 - 3*z**2 - 4*z**2 + 8*z**2. Let j(t) = -583*t**2. Give j(q(v)).\nAnswer: -2332*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 244.2 and -5.\nAnswer: 239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95906183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 2:33 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {d: 1, x: 1, e: 1, z: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 3*j**3 + 2*j**5)*(0 - 1 + 0) - 2*j**5 + 0*j + 0*j + 1 - 1 + j**5 + (2*j**3 + 0*j**3 - 3*j**3)*(3*j + 5*j**2 - 3*j) - j**2 + 2*j**5 + j**2.\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 11:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1125 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*g - 79. Suppose -2*s = 31 - g. Solve 0 = -3*j + 2*m - 2, -1 = s*m - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 = 42. Let h = j - 4. Suppose r + n - 14 = 6, -h*r + 25 = -n. What is the lowest common multiple of 2 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1077\/13 - 83. Put -2\/3, u, -2\/5, -1 in decreasing order.\nAnswer: u, -2\/5, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8626690350?\nAnswer: 2, 3, 5, 2130047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m - 19. Determine v(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9660414*z**3 + 697109*z?\nAnswer: -57962484*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 29*x**2 + 4*x + 2. Let u(h) = 6*h**2 - h - 9 - 5*h**2 + 0*h**2 + 11. Let s(a) = f(a) - 2*u(a). What is the second derivative of s(q) wrt q?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898487933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 10*l**2 - 9*l - 31. Determine i(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 547 - 5?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -22. Let s = y + 18. Calculate the remainder when 19 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = 5*u + 2352, -q = -u - 1170. Suppose 3*g = 5*o - 1169, o - 2*g = -4*o + q. Suppose 5 = a, o = w - 5*a - 152. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1193, 1270, -0.1, 0.3 in decreasing order.\nAnswer: 1270, 1193, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c - 3. Suppose 11*y - 16 = 11 - 5. Let i(n) = 25*n - 7. Give y*i(x) - 5*b(x).\nAnswer: -10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 20. Let v be (-22)\/(-5)*495\/198. What is the highest common factor of i and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -103285, -105988, -108691, -111394, -114097, -116800?\n\"Answer: -2703*k - 100582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-4))\/5 - 15*(-57)\/380. Solve 15*m + 3*q = 14*m - 2, -2 = p*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/60 - 3*d**4\/8 + 2*d**3\/3 + 2*d**2. Is h(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 42 = 202. Let g be ((-2)\/4)\/(-2*4\/f). Solve -3 = 8*c - g*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4, 2050, 3, 20, -0.18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506\/(-36) + (149 - 102) + -6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960222508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-21\/8)\/(x**(2\/15)\/x**(2\/19)))\/((((x**1*x*x)\/x)\/x)\/((x\/x**(-2\/3))\/x)*x**(2\/5)\/x**(-1\/5)) assuming x is positive.\nAnswer: x**(3793\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 86597 - 101037 + 28958 = 0. What is the lowest common multiple of x and 2?\nAnswer: 11334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeoaakakaraheara. Give prob of sequence kaok.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 46. Calculate the remainder when o is divided by (28\/16 - 2) + (-17)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0)*4 - sqrt(5) - (1*sqrt(45))\/sqrt(9))**2 + -3 + (sqrt(5) - (sqrt(5) + 1 + sqrt(405) + sqrt(5))) + (sqrt(35)\/sqrt(112))**2 + sqrt(5).\nAnswer: -9*sqrt(5) + 261\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 >= 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/29 + 125\/87. Let u be (-40)\/(-260) - (-32)\/130. What is the closest to -2 in 1\/3, u, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551 = -26*p - 54*p - 49 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/75 and -99\/10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -244068*v - 1708488. Give d(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s**3 - 507*s**2 - 426*s + 699. Calculate k(37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14959813010 to the nearest one million.\nAnswer: 14960000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/4)*z**27*(((z*z\/(z**(-42)*z)*z*z)\/z)\/z)\/(z\/(z*z**(3\/13))*z) assuming z is positive.\nAnswer: z**(3691\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7907659ml in litres?\nAnswer: 0.0007907659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.9 in -1\/32, -1, 2\/5, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 6. Suppose -2*j + 0*j = -8. Let c be n(j). Let i(p) be the second derivative of -p**5\/20 + p**3\/6 - 3*p. What is i(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/12616 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -100, -113, -142, -193?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -705d (base 15) to base 8.\nAnswer: -56241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636533771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 12 = 4*z, -10990*z + 53 = -3*l - 10982*z for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119 - 270 - j + 231)*(-3*j - j + 2*j).\nAnswer: 2*j**2 - 160*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 1 + 5. Let a(n) = 4*n + 3*n**w + 4 - n - 5*n**2. Determine a(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 - -319. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-6)\/(-6))*-3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59110.85mm in meters?\nAnswer: 59.11085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677366 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54334 is divided by 1585.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 4*k**2 + 50629*k + 7*k**2 - 50629*k.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 822129908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.664135 rounded to two decimal places?\nAnswer: -315.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427117222 to the nearest integer?\nAnswer: 20667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17 = -23. Suppose 12*h - 74 = l*h. What is the greatest common divisor of h and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/10)\/(4\/220). Suppose -3*h + 12 = 0, y + 4*h = 3*y - j. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 122*o**2 - 343*o + 4872. Give t(-125).\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2111*n + 2127*n = 96 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y**5 + 0*y**5 + 2*y**5 + (-2*y**5 + y**5 + 5*y**5)*(0 - 2 + 4).\nAnswer: 24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 greater than -51\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 11*z + 3. Suppose 0 = -4*r + 4, 4*r - 13 - 15 = 4*l. What is the tens digit of c(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 183700 + 52618. Suppose 6*d + 11343682 = -j. What is d rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(sqrt(275) + sqrt(275) + 1)*-2 + (sqrt(275) - ((2 + sqrt(275) - sqrt(275)) + 2) - (sqrt(275)*-3 + 5)))**2*-2.\nAnswer: -800*sqrt(11) + 440004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5*1990\/(124 + 75)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3 + sqrt(72))*-2 - -1*(2*sqrt(2)*2 - (sqrt(2) + (sqrt(2) - -1*sqrt(2)) + -4 - sqrt(2))))**2.\nAnswer: 240*sqrt(2) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q**2 - 9*q - 9. Let j(l) = 9*l**2 + 4*l + 4. Calculate 4*b(u) + 9*j(u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 10*j = 121. Let l be (-60)\/66*j\/(-2). Solve -p + 9 = 2*p, -l*a = -5*p + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/9 + 25)*(-13)\/26*4\/(-3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185356537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {x: 2, u: 1, b: 3, o: 4, q: 1, t: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 10. Let m = s - -25. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241 - 62*x**3 - 285 + 46.\nAnswer: -62*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 380837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {a: 5, t: 11}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 15) + -2*(-14)\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k - 51 = -3*x, -2*k + 8 = x. Let s(c) = 2 + 16*c - x*c - 6. Let j(f) = -5*f**3 + f**2 + 2*f + 1. Let d be j(-1). Calculate s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2*x**4 - 2*c**2*x**2 + 49121*c**2 + 153806583*c*x**5 - 2301*c*x + 1 wrt x.\nAnswer: 48*c**2*x + 9228394980*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 75.776, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8 and -89\/2644.\nAnswer: 5288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - d + 5. Let y be q(8). Let l(n) = 22*n**2 - 7*n**2 - 2*n + n - 12*n**2 + n**3. Calculate l(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 1 - 1)*(0*h + 5*h - 2*h) + 3*h**2 + 2*h**3 - 3*h**2 + 6*h**2 - 6*h**2 + h**3 + 0*h**2 + 3*h**3 + 0*h**2.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 4, -3.\nAnswer: -14, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-2\/17)*b))\/b**(1\/11)*(b\/b**0*b)\/(b**(-3)*b))**(-11))**(-3) assuming b is positive.\nAnswer: b**(2259\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/27741 and -23\/6363.\nAnswer: 8405523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4293*n - 150239. Determine k(35).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 - 5*p + 14. Let g(u) = -3*u**2 - 3*u + 9. What is 8*g(w) - 5*l(w)?\nAnswer: w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1317, 1\/3, 1, 2, -0.05, -2\/3, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 minus 14?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (14\/3)\/((-19)\/(-228))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/3 - 42\/63. Suppose -15 = -5*b + u*b. Solve -4*o - b + 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 21 = 3*t - 3*l - 12, 82*l - 80*l + 5 = 3*t - 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 6*m - 49. List the prime factors of a(-11).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18970 and 140920?\nAnswer: 986440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27168337 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*a - 10446*a - 599687 + 47135 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/15 + 2*q**2\/5 - 6*q + 54\/5.\nAnswer: 2*(q - 3)**2*(q + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*m - 418*m + 14557 + 20345 = 0. What is the highest common divisor of 4809 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13306, -13315, -13348, -13417, -13534, -13711, -13960, -14293?\nAnswer: -14722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18758945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-14)*z**0)**(-20)\/(((z\/z**(-3\/7))\/(z\/z**(1\/2)))\/(z**(-1\/2)\/(z\/z**(1\/11)))) assuming z is positive.\nAnswer: z**(-23280\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/8 and 77\/34096.\nAnswer: 34096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3702, 7273, 10892, 14565, 18298?\nAnswer: 22097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/82, 3\/5, -3\/2, -2, -123.4, 1 in descending order.\nAnswer: 1, 3\/5, 3\/82, -3\/2, -2, -123.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5 + 13*b + 2 + 1. Let t be (-3)\/(-2)*2\/3. What is the remainder when 32 is divided by d(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*u + 33*u - 39*u + 1 - 1 + u + (1 - 1 - 2)*(0*u + 3*u - 5*u))*(-8*u**4 - 6*u**4 - 4*u**4).\nAnswer: -558*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 98 = -66*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.019.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 4*s + 2. Suppose 4*y + 0*y = 60. Calculate the remainder when y is divided by c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**5)**10 assuming z is positive.\nAnswer: z**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b + 31853 = -211699. Calculate the least common multiple of 32 and b.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1453203 (base 6) to base 12\nAnswer: 41203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -55831\/2 and -27915 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1525014258 to the nearest integer?\nAnswer: 39051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 9 - 21)*(-3*u**4 + 0*u**4 + 0*u**4) as c*u + k*u**3 + p*u**4 + x*u**2 + y and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -417, -10, 129.\nAnswer: -417, -10, -4, -1, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 7652138*o.\nAnswer: 2*o*(o - 3826069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2160\nAnswer: -1\/432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:47 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 = -3*g, -5*g + 315*h - 318*h - 22 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 442 or -1376?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b - 5. Let c(i) = 2*i - 2. Let t(f) = 7*c(f) - 3*j(f). Let z(g) = 3*g - 3. Let a be 64\/(-6) - 1\/3. Give a*t(l) - 4*z(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11877 + -1?\nAnswer: -11878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 108*c**3 + 6*c**2 + 6*c - 5. Let a(y) = y**2 + y - 1. Give -6*a(v) + l(v).\nAnswer: 108*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**8\/2240 - g**7\/1680 - 7*g**5\/20 - 13*g**2. Let q(l) be the third derivative of n(l). Factor q(z).\nAnswer: -3*z*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Let d(h) = 7*h**3 + 5*h. Let c(s) = 6*s**3 + 4*s. Let i(t) = n*d(t) + 3*c(t). Let u be i(2). Calculate the highest common divisor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 4 (c) 9.4991 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*g + 11. Suppose -g*m = -16*m + 350. Let a be 0\/(4\/(-5) - m\/(-25)). Solve a = 3*h - 2*v + 3, 3 = -v - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148528400?\nAnswer: 2, 5, 371321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.006088 - 0.493912. Let z = -2.94 + -0.06. Sort z, o, 0, -2 in descending order.\nAnswer: 0, o, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17687*d + 18522*d + 16700 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/19355 and -29\/33180.\nAnswer: 232260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 989674399.5 rounded to the nearest one million?\nAnswer: 990000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a4 + -5?\nAnswer: -3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = 3*a, -5*a = 3*q + 8 - 3. Solve 2*o + 5*p = a*p + 8, 0 = 5*o + 5*p - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:54 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34860, 69708, 104554, 139398, 174240?\n\"Answer: -z**2 + 34851*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 26*z**2 + 321*z + 1. What is o(9)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 0*l**2 + 0*l**2 + (-1 - l + 1)*(-4*l - l + 3*l))*(-l - 2*l - 13*l).\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 56, 76, 90, 98?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l**2 - 3*l - 26. Let y be b(7). Let x = -676 + y. What is the smallest common multiple of 48 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -18*y - 33. Determine n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/21 and -86\/1713453.\nAnswer: 1713453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84111712916889 plus -0.3?\nAnswer: 84111712916888.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 4*x - 21, 127*a + 12 = 2*x + 129*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9) + (-10)\/(-42) - (-121024)\/395808\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g - 63*g**3 - 11*g - 11*g.\nAnswer: -63*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260644 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 547639 * -0.17\nAnswer: -93098.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 108, 248, 408, 594, 812, 1068, 1368, 1718?\n\"Answer: m**3 + 4*m**2 + 121*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*f = -182, 12 = 2*y + 2*f - 76. Suppose -5*g + y = p, 0 = -3*g + 2*p + 22 + 18. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 12, -r + 3 = -3*t + 15. Let v = 61 - 52. Sort t, 1, v.\nAnswer: 1, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/5 + 591*j**4\/5 - 90027*j**3\/5 + 437469*j**2\/5 - 348036*j\/5 = 0. What is j?\nAnswer: -299, 0, 1, 4, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -161*h - h**2 + 161*h + 4. Let g be r(0). Calculate the common denominator of -31\/15 and 4 + (-2 - g\/((-48)\/31)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -198*l - 8. Let n be h(3). Do n and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212 + 422. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1 + m)*(-2 - 3 + 3)*(3 + 1 - 3 + (0 + 3 - 4)*(1 - 1 - 1)).\nAnswer: -4*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - q + 1739994 = q, 4349994 = 5*t + 2*q. What is t rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 + 24 = 4*m, -4 = 4*w. Suppose -6*c + 3*c = -m. Solve -15 = -c*h - h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 477? (a) -91 (b) 1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1683 = -4*z + 1835. Suppose -5*f - m = -z, 3*f + 4*m - 24 = 3*m. Solve -f*u - 19 - 2 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 4. Let l(j) be the third derivative of -j**5\/60 + j**3\/2 - 21*j**2. Let o(r) = 4*l(r) + 3*m(r). Let v(d) = -88*d**2. Calculate v(o(n)).\nAnswer: -88*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + k = -6, 7*k = 4*r + 10*k - 22. Put -3, r, -1, -5 in ascending order.\nAnswer: -5, -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150575*v**2*z**2 - 243*v*z**2 + 2*v - 224*z**2 wrt v?\nAnswer: -301150*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14412*j = 964*j + 641*j - 742806 for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174652 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:28 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(1 + 28\/(-32))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/(-10)*80\/(-176)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -7. Calculate the remainder when 156\/9 + (-4)\/(-6) is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422875.\nAnswer: 5, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -610.3749708 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 223*r + 417. Give s(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008679440586 rounded to seven dps?\nAnswer: 0.0008679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/27 - 65\/297. Which is the closest to -0.1? (a) j (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719011 is divided by 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -14. Let z(a) be the second derivative of a**5\/20 + a**4\/6 - 2*a**3\/3 - 3*a**2\/2 + 8*a. Let m be z(-2). Sort 3, i, m.\nAnswer: i, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56071 is divided by 1367.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12131431344 + -1?\nAnswer: 12131431343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, and 1 f when three letters picked without replacement from aafyyyysiss?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2 + 60\/32). Suppose 2*a - s = -2*a. Suppose 0 = -4*b - 3*u + 38, b + 4*u - 32 = -a*b. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.44 + -1. Let f = m + -0.04. Let o be 3\/42 - (-189)\/882. Which is the nearest to -0.2? (a) f (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27863 - -27875. Let w be (0 - 1*3)*-1. Suppose -2*t + 50 = w*t - 5*v, -5*t = 4*v - 68. Calculate the greatest common divisor of n and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12605843*n*w**3 + 708*n*w**2 + n*w + w**2 - 663 wrt w?\nAnswer: -75635058*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 12. Give a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/23134815 and 94\/13365.\nAnswer: 23134815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6890 - 6890 - 67*n**2 + (3*n - n + 0*n)*(n - 5*n + 2*n).\nAnswer: -71*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*o - 6*m - 2, 3*o + 4 = -5*m. What are the prime factors of (o\/(-5))\/(1\/(-10)) + 91?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i + 498. Let r be v(16). What is the greatest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16893911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:16 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgl when three letters picked without replacement from ajaaljaakjgjjjaajaj?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 149 + 100*z**2 + 152 - 300 + z + 4*z - 20*z**2. Let p(u) = 16*u**2 + u. What is 2*h(f) - 11*p(f)?\nAnswer: -16*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*c*l**3*v**2 - 25*c*l**2*v + 2*c*l - c*v**2 + l**3 + 3*v wrt v?\nAnswer: 218*c*l**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 4 - (-10 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*w - 185 + 311 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55791\/2 + 27896. Factor -3*l + 9\/4 + l**3 + 1\/4*l**4 - m*l**2.\nAnswer: (l - 1)**2*(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*-2*sqrt(1088) + 2 + sqrt(1088)*1 - 6*(1*sqrt(1088) + -2))*4)**2.\nAnswer: -903168*sqrt(17) + 30820608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*((-5)\/2 + 3). Suppose -6*i - u*a + 380 = -i, 0 = i - 4*a - 76. Suppose 4*z - i = -0*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -5737825?\nAnswer: -5737833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1326)\/816 + (-15)\/(-2)*1\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294396 or 294394?\nAnswer: 294394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11509408\/(-164424) + 70)*-13?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9244\/168 + 3 + (-635)\/26670.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443441 is divided by 175?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4 - 5*v**3 - 32*v**2 - 36*v = 0?\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8724, -8744, -8764?\nAnswer: -8784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5))**(2\/29)\/(h**1)**(-20))\/((h**1*h)\/h**(2\/19))**26 assuming h is positive.\nAnswer: h**(-80506\/2755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6988*z + 24351?\nAnswer: -6988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 6 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27152625*i**4*t**2 - 604*i**2*t**2 - 68*i**2*t + 2*i*t**2 - 77 wrt i.\nAnswer: -651663000*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 + z - 1. Let k(s) = 3*s**2 + 6*s - 6. Let t(h) = -h**2 - h + 1. Let l(g) = k(g) + 5*t(g). Calculate -4*l(d) + 3*x(d).\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21591 + -21590.96. Which is the smallest value? (a) -0.3 (b) 5 (c) g (d) 23 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38259 and 936?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*6\/(-9) - 3. Solve 2*p + 10 = -s*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*n - 133 = 0, 4*n - n + 153 = 3*s. Let v = s - -6. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 0, -7, 627, -0.2, -5\/3, -2.6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = z + 2*z. Let w = z + -1. Suppose 2*h = 5*h - w. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 4488464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 11*b + 80 = 0, 2*b - 2704 = -5*q - 2675 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 747817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -2*(-5)\/2. Let k(u) = 0*u + 16*u**3 + u - 1 + 8*u**3. Let w be k(q). Solve -4*m - w = -4*p, 4*m + 22 = 3*p - 0*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abvb when four letters picked without replacement from vmmavmavmvbvvmvvvbb.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*7\/(175\/(-5))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) 12 (c) -1\/6 (d) 0.1 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 + 110011?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3439 and 5249.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9129534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*0*(-1)\/4. Let h(p) = 2*p**3 - 2*p**2 + p + 43. Let u be h(l). Let w be ((-6)\/(-12))\/(u*1\/(-2)). Is w equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25069 and 65489?\nAnswer: 38180087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222544 divided by -8.\nAnswer: 27818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2732, -5446, -8160, -10874, -13588, -16302?\n\"Answer: -2714*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9812, 39189, 88146, 156683, 244800, 352497, 479774?\n\"Answer: 9790*p**2 + 7*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4349631 is divided by 157?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29198*f*k + 65794*k wrt f?\nAnswer: -29198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 79*b + 9244. Determine o(-117).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*8\/6*(-30)\/(-100).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2862 - 0.171. Let v = n - 0.6152. Let s = 0 + 4. Which is the closest to -0.06? (a) s (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 414, -11\/4 in descending order.\nAnswer: 414, -11\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1290*l**2 - 1288*l**2 + 6 - 6. Let x(m) = -5351*m**2. Calculate x(v(n)).\nAnswer: -21404*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 30*o**2 - 25*o - 193. Let t be i(31). Let p = -2\/11 - -47\/77. Which is the fourth biggest value? (a) p (b) -5 (c) -2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 96*u - 1531. Let z be y(16). Solve -6*d = -z + 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -18*x**2 + 354*x + 18. Give f(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -5, b - 3 = -2*x. Let r be b - -7 - (-6)\/2. What is the second derivative of 3 - r + h**4 + 2 - 4*h wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/(r\/r**(-5)))\/(r**(1\/4))**45*r\/(r**(3\/2)\/r)*r\/r**(-1\/5)*(r\/((r**(2\/7)\/r*r)\/r))**36 assuming r is positive.\nAnswer: r**(6043\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - -1 - -4 - -7. Suppose -4*x - m - 79 = 0, -10 = 3*x - a*m + 73. Round x to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 9:02 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-3)\/2 + 4. Let i be (-2)\/6*(7 - p). Suppose i = -z + 6*z - 350. What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 548*f + 1112.\nAnswer: -4*(f - 139)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00974 to 4 decimal places.\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 157985660 divided by -57659?\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 954 + -917. Sort -0.7, -4, s in increasing order.\nAnswer: -4, -0.7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55\/3 - 18. Let r = -21602 - -21602. Which is the third smallest value? (a) x (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.3, 7148414 in descending order.\nAnswer: 7148414, 2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 1. Let w(n) = 8. Let g(a) = -2*d(a) - 2*w(a). Let p be g(8). Let h be p\/(-11) - (-144)\/66. Solve 5*k = 3*u - 10, h*u - 5 = 5*k - 0*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -98356.\nAnswer: -295068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1242073371 divided by 26427093\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 751836 = -88848. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {p: 5, a: 2, d: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -40. Let m(k) = -k**2 - 5*k + 9. What is m(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -16, -6, -2, -10, -36?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 - k - 1. Let z be t(2). Let q be -2 + z + 5 + -13. Let w = q - -49. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2233 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**3 - g**4 - g + g**2 + 7 + 11*g**3 + g**2 + 2*g**3 - g**3 in the form x + s*g**3 + d*g**2 + k*g + y*g**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -441 + 632. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 + -71?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5, -3, 37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43227.\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 divided by -6?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 110*t**2 + 14352604 - 14352604.\nAnswer: -110*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1825 - 1665. What is the lowest common multiple of w and 688?\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1 - 18*v + 4*v**3 + v**2 + 13*v + 4*v. Let m be s(1). Which is the nearest to -1? (a) m (b) 2\/19 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 267*g**4 - 2421*g**3 + 6570*g**2 - 4704*g + 288 = 0.\nAnswer: 6\/89, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -120*s - 16. What is k(5)?\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*b*s**2 - 3*b - 23488*s**4 - 51954 wrt s.\nAnswer: 58*b*s - 93952*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 2, t: 2, l: 3, m: 1, h: 2}. Give prob of picking 1 m and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-21))\/((-8)\/12).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 4, 2 in decreasing order.\nAnswer: 4, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1319 + 0.0966. Round t to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 216041, 4, 1 in descending order.\nAnswer: 216041, 18, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44\/19 - -2282\/969. Suppose 5*k = 2*d + 18 + 5, -1 = -d. What is the third biggest value in -2, k, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76505)\/(-78))\/(-107)*(-27)\/180.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 150*f + 552 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5397*l + 154*l**2 - 5398*l + 1465*l**2 - 1 in the form b + p*l**2 + k*l and give p.\nAnswer: 1619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 17 = -9*h + 4*h, 9 = -3*l - 2*h. Let k = 10162\/21 + -484. What is the second smallest value in -12, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 135 = -117. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**4 - 5*r**3 - 9*r**2 + 3. Let f(l) = -8*l**4 + 44*l**3 + 80*l**2 - 28. Let h(v) = 28*d(v) + 3*f(v). Determine i so that h(i) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 17. Let h = v + -5.9994. What is h rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t + 0*t)*(t - 5*t + 2*t)*(1 - 2 - 1).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + 0.1. Let d = h - -2.98. Let i = d - 2.3. What is i rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 5\/2 (c) 432 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9818503 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2055*g + 978*g = 1082*g + 880*g + 15195 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*(1 - -1). Let t be 1\/n - 8*-1. Suppose -3 = -4*h - o, o + 2*o - t = 0. Solve 5*p + 4*m - 33 = 0, h = m + 4 - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 12, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/8 - 199713*o**2\/8 - 3323873385*o\/8 - 3323673675\/8.\nAnswer: -3*(o + 1)*(o + 33285)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043572?\nAnswer: 2, 260893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132558, 132579, 132648, 132789, 133026?\nAnswer: 133383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/266 and 67\/2.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 1057*i**4\/6 - i**3\/6 + 10131*i**2\/2 + 23*i - 49. What is the first derivative of u(q) wrt q?\nAnswer: 4228*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 9*n + c - 1, -4*n + 2*c = -22. Suppose -183 = -n*y - 51. What is the lowest common multiple of 9 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -162, -5, 26 in decreasing order.\nAnswer: 26, -5, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -108*c - 2. Let u be q(-2). Suppose -5*w = u + 26. Let o = w - -49. Let v(j) = -j**3 - j**2 - j + 1. Give v(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -28*k - 2. Let n(g) be the third derivative of -g**4\/12 - 127*g**2. Determine n(x(h)).\nAnswer: 56*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36837678, 73675357, 110513036?\nAnswer: 147350715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beebaqqqmaqmkmqqm. Give prob of sequence qm.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-168)*-6*10\/1450*8?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*i + 487773 = -4376*i for i.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -523*z + 1. Let h be s(-1). Suppose 2*t = 5*t + 2*f - 393, -h = -4*t + 2*f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2227855 and 105?\nAnswer: 6683565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4 and 47\/5065.\nAnswer: 20260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8+-24.6\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*n - 5. Let m be (-1)\/n*15\/(-20). Let o = -1.1 - -1. Which is the closest to o? (a) 3 (b) m (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1863 + 1864. Solve 4*q + 7 = -g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and -6*(-2)\/48 + (-22)\/(-8).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgxxgxxx. Give prob of sequence ggxx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101001100100010110101 (base 2) to base 6\nAnswer: -45110005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 361*i + 782 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659168622.6 + -23009.\nAnswer: 659145613.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -759 * 0.3\nAnswer: -227.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 3864?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4661.963 micrograms to nanograms.\nAnswer: 4661963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 1, m: 4, o: 12, j: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 837944, 1675884, 2513818, 3351746, 4189668?\n\"Answer: -3*i**2 + 837949*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2302364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 24*i + 84. What is l(-17)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let s be 2*4*3\/24. Is y <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -8*b - 317040. Let w be -5181*(b\/17604 - -3). Let u = 3\/163 - w. Calculate the common denominator of u and -70\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 60. Let f be i(-20). Solve f = -u + 8*u + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26253 divided by 31?\nAnswer: -26253\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/10 + 4058506*b**2\/5 + 16471462835021*b\/10 - 16471479069049\/5.\nAnswer: (b - 2)*(b + 4058507)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0518203514 and 546.232.\nAnswer: 546.1801796486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 17 = -4*n. Let a = n + -9. Suppose 3*b - a = -b. Solve -4*k - b = 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 35. Determine x(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25 + -26)*(2 + -3). Let n be 12\/6 + l + 3. Solve -6*y + n = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2727678840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -23*c - 14. Let w be z(-3). Let l = w - -5. Let y(m) = -m**2 + 12*m + 8. Let t be y(8). Calculate the greatest common divisor of l and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 24*v**3 + 32*v**2 + 24*v - 36.\nAnswer: 4*(v - 3)**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 + 2*q**2 + 2 - q**3 + 1. Let b be v(-3). Suppose 2*i = -3*z + 7, 5 + 13 = 3*i + b*z. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437, -450, -451, -434, -393, -322?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3 + 2*a**2 - 3. Let o(z) = -z**2 + 2*z + 2. Suppose 0 = 5*w - 17 + 7. Let q(i) = 2*i**2 - 3*i - 3. Let t(x) = w*q(x) + 3*o(x). Calculate j(t(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6779518 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86.8 - 79.8. What is the nearest to 17 in 0.2, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -54, -2, -2\/23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11604 + 11606. Let q be 5 - (2 + -4 - -5). Let j be 2*(6\/(-15))\/q. Put j, 1, v in decreasing order.\nAnswer: v, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0*u**2 + 5\/6*u**4 + 2\/3*u**6 + 0 + 5\/42*u**7 + 5\/4*u**5 + 0*u**3 - 11*u. Factor d(s).\nAnswer: 5*s**2*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 - o - 8. Let y(j) = -5*j**2 - 2*j - 9. Suppose -4*d + 16 = -12*d. What is d*y(l) + 3*n(l)?\nAnswer: -2*l**2 + l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 34 = -z. Let n = 13614 + -13583. What is the remainder when n is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003519 to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -151*k**2 - 2*k - 6. Let n(i) = -152*i**2 - 2*i - 5. Calculate 3*n(v) - 2*q(v).\nAnswer: -154*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-6 - -16)) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34228 = -2200*a + 82372 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 9:00 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let j(q) = -12*q**2 - 42*q - 33. Let s(r) = 6*b(r) + j(r). Let n(p) = -3*p**2 - 9*p - 8. Let d(f) = 9*n(f) - 2*s(f). Suppose d(u) = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2, 6, 0.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsjj when four letters picked without replacement from {j: 3, v: 2, s: 8, n: 7}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 592, 940, 1316, 1726, 2176, 2672?\nAnswer: 3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*g**2 + 1305*g + 21*g**2 - 1 + 1256*g)*(2*g + 3 - 3) to the form d + h*g**3 + j*g**2 + p*g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 7*l + 7. Let t(a) = -2*a**2 - 6*a - 6. Give 5*t(d) + 4*w(d).\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 6. Let u be j(0). Suppose 0*w + 3*w = 18. Suppose 0 = w*s - 3*s - u. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29967349.\nAnswer: 29967349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 23*w)*(0 + 5 - 2 - 2*w)*(-w**3 + 0*w**3 + 3*w**3).\nAnswer: 88*w**5 - 132*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4292 + -673841\/157. What is the closest to -5 in -0.5, 2\/11, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n + 546*n - 4347 = 207*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 1, 8, 2\/5, -1040?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4\/4 - 13797*b**3\/4 - 5083149*b**2 - 2346039045*b + 2351125644 = 0.\nAnswer: -1834, -932, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(-3 + -6*(sqrt(320) + 0) + (sqrt(320) - 3*sqrt(320)*-1)*-1))**2.\nAnswer: 69120*sqrt(5) + 4609296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 62 (b) 22.6 (c) -0.3 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 12*b + 27. Let f(x) = -2*x**2 - 18*x - 42. Let l(d) = -5*f(d) - 8*m(d). Let a(c) = 4*c**2 - 11*c - 13. What is -6*a(j) + 11*l(j)?\nAnswer: -2*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1776022325213\/4856 - -365737720. Let c = 5\/2428 - m. Calculate the common denominator of c and 18\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 61. Let y(q) = -3*q - 3. Give y(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330 or -324?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1764 - -7415. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/24 + 5963*a**2. Let l(n) = -155*n. What is g(l(r))?\nAnswer: -155*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 286*n**2\/7 - 13872148*n\/7 + 194016\/7.\nAnswer: 2*(n - 48504)*(143*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -256496 + 64481?\nAnswer: -192015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(5*n**2 - 3*n**2 - n**2) + (n - n + 2*n)*(4*n - 7 + 7).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166928\/1311 + -382\/3. Let i = h + 3071\/2622. Let o = -5361\/22 + 242. Find the common denominator of o and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15350\/9 - 1707. Find the common denominator of 121\/10 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -60*n**2 - 3*n - 4. Give m(2).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 28*h**2 + 3*h + 5. Calculate the least common multiple of 5 and u(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (106 + -93) - 21\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.424 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 169355 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z = -52*z. Suppose -5*k + h - 29 = -9, -h - 5 = z. What is the closest to 2\/3 in k, 4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1258862 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 26. Which is greater: v or 1\/43?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -602, 421, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3622 = 4*t. Let r = t - 1365. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 9. Let x(o) = o - 8. Let b(s) = -6*x(s) - 5*y(s). Let v be b(1). Solve v*q + 3*w + 4 + 13 = 0, 4*q - w - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -34, -9, 0, -1\/2 in ascending order.\nAnswer: -34, -9, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2570721 or -2570625?\nAnswer: -2570721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439617 is divided by 62799?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31494 and 724?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 90 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**3 - 11*x - 33*x**2 - 39*x**3 + 3*x + 3*x**5 - 3*x**4 - 4*x.\nAnswer: 3*x*(x - 4)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 9, -14, -59, -132, -239, -386, -579?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 14*k + 40. Let c be u(8). Let j be (60\/c)\/(135\/(-20)). Factor -j*r**3 - 8\/9*r + 0 + 8\/3*r**2.\nAnswer: -2*r*(r - 2)*(5*r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3879, 3908, 3947, 4002, 4079, 4184, 4323?\nAnswer: 4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335920 times 4?\nAnswer: 13343680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*z**2 + 218*z**2 - 320*z**2 + 167*z**2.\nAnswer: -247*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(5 + 1) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 1:28 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -122*y + 295. Let j be l(6). Let d = 441 + j. Solve -5*f + d = -n, -3*n + 2*f - 12 = 7*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7679 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 572591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 15*l + 10. Let k be u(-14). Let h(r) = r + 2. Let b(f) = -f - 1. Let x(c) = k*b(c) - 2*h(c). Let y(p) = 2*p**2. What is x(y(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 294084893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -1 - 8\/3*i**3 + 0*i**2 + 0*i. Let d(t) be the second derivative of -t**3\/6 + 2*t. What is l(d(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 9*q**2 - 2*q - 9. Let h be l(-9). Suppose h*c - 5*c = 68. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01456099642 to four decimal places.\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = 2*p - m, -2*m = 4*p - 12. Let z(t) = 8*t**3 - 4*t**2 + 3*t. Let i(b) = 7*b**3 - 3*b**2 + 2*b. Let f(r) = -4*i(r) + 3*z(r). What is f(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 + -24 + 1 + (-55 - (-83 - -8)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 20*s + 19*s - 35*s + (4*s + 2*s - 5 - 4*s)*(-2*s - 5 + 5)*(6 - 3 + 2) to the form w*s + b + f*s**2 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*u - 621*u = -9565 - 19747 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 times -5?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -190474520 divided by 6068\nAnswer: -31390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 40477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-255)\/(-1) + 0 + (11 - 14) and 102.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 + 4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 9*c**2 - c. Let i be t(-8). Let o = 29 + i. Let r = -14 - o. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7 - 4 - 3 - 5*r**2 + 14. Let q(c) = 9*c. Give n(q(s)).\nAnswer: -405*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j - 40. Let o be f(10). Let w = o + -83. Suppose -37*y + 70 = -w*y. Which is bigger: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 89 - 89.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2637953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -157*-79277\nAnswer: 12446489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 704370088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + 0 + -3 + -2*sqrt(7)) - (((sqrt(84)*1)\/sqrt(4))\/sqrt(3) + sqrt(84)\/(2*sqrt(12)*-2)).\nAnswer: -11*sqrt(7)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -734175 + 2233541\/3. Let b = -1550593\/150 + w. What is the common denominator of 79\/30 and b?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.0917022.\nAnswer: -0.2751066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {a: 1, u: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 - 9*q + 10. Let n be l(5). Let a = n - 71. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) 0.4 (b) -1\/13 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*n + 20 + 17, -3*w - 2*n = -23. Solve -7*c = -w*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.09 + 0.09. Let o = 1470 - 1470. What is the nearest to o in y, 0.07, 0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4044 - 3721. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 3*z**2 + 3*z + 3. Let k(w) = w**3 + w + 1 + 0*w**2 - w**2 + 0*w**3. Let t be (-2*2)\/(-8)*-2. Give t*y(r) + 3*k(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let j(t) be the second derivative of -t**4\/6 - t**2 - 3*t. Let c(x) = j(x) + 4*y(x). What is the units digit of c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 272 = o. Suppose o = 2*l + 4*p, -l + 4*l + 4*p - 194 = 0. Suppose -5*y + 17 = j - 61, -j + l = -5*y. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 649502 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -1\/98*x**7 + 0 + 0*x**2 + 3\/70*x**6 - 3\/140*x**5 + 1\/7*x**3 + 12*x - 3\/28*x**4. Find u, given that z(u) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/9 + 21038*t**2\/9 - 908420*t\/9 - 929456\/9 = 0.\nAnswer: -10562, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/30 + w**4\/12 - 13*w**3\/3 + 36*w**2 + 1. Let m be a(-5). Solve 9*c = m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 14*y + 16. Let q be w(-13). Solve -n - 4*o = q*n, -5*o - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let q = -6\/337 - 644\/1685. Which is the fourth smallest value? (a) t (b) 1\/5 (c) q (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 195503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1, -162, 3651.\nAnswer: -162, -4, -1, 0, 3651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 29 = -2*r. Let s(n) = -56*n**3 - 10*n**2. Let m be s(r). Round m to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/((-1)\/2). Let m(y) = 2*y**2 + 1. Let j be m(-1). Let l(s) = 2*s - s**j - 1 - s**3 - 5*s**3 + s**3. Give l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -3*f - 3*a, 0 = -4*a + 4. Let h be -10*6\/45*f. Suppose -17 - 19 = -h*c + 3*j, -2*j = -4*c + 36. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2 - 44228*v + 9621480 = 0. Calculate v.\nAnswer: 222, 10835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962*x + 1957*x = -25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99\/20 - -1333\/140. Solve 0 - x*d**2 + 12\/7*d**4 - 16\/7*d - 4\/7*d**3 = 0 for d.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13528 - 13528 + 100*h)*(-2 + 4 - 1) to m + l*h and give l.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10683 - -10647. What is the third biggest value in x, 21, 0.2, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*h**4\/3 - 46965440*h**3\/3 - 26416883*h**2 + 28205695*h\/3 - 2293150\/3 = 0.\nAnswer: -45863, -2, 5\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1319638 - -169052. Round q to the nearest 10000.\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331660 (base 16) to base 3\nAnswer: 20022002200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide (13 - (-97)\/(-5))\/((-3)\/270)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 7*m**2 - 8*m - 5. Let h be x(-6). Suppose -q + 2*t = 5, -4*q - 3*t = -h - 6. Let i = 100\/27 + -938\/297. Is i < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1066.644143 rounded to the nearest 10?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20248244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 9*a - 2 = 0. Let d(n) = -4*n**2 + 4*n**2 + 3*n**a - n**2. Let m(w) = 22*w. Calculate d(m(h)).\nAnswer: 968*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 1 b when three letters picked without replacement from pbjfjytjtyyff?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -118.2 * 102783\nAnswer: -12148950.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*y - 8. Let z = y - 2. Solve -4*v + 2*v + 4 = z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 49. Let u be (-34)\/(-12) - h\/(-3). What is the nearest to -2 in -1, u, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 7. Let a = i + -22. Let g = 7 - a. Solve -2 - 8 = -g*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2304)\/(-1440) + ((-172)\/(-5) - 903\/(-129))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 24. Let i be l(16). Let f(p) = p**2 + 8*p + 6. Calculate the remainder when 27 is divided by f(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 2*h - 5*h + 15*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 8:32 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 297659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = -4, 0 = -5*w - 3*s + 19. Suppose f + 35 = 3*n + w*f, -4*n - 3*f + 42 = 0. Calculate the highest common factor of n and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-2))\/3*(-31)\/((-15810)\/24).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3231 (b) -0.2 (c) -3116.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**3 + 2*q**3 - 2*q**3)*(-2*q + 4*q + 7*q) to the form h + i*q**2 + s*q + n*q**3 + o*q**4 and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**2*k**2 - i**2*k + 5483*i**2 + 260*i*k**2 with respect to k.\nAnswer: -10*i**2*k - i**2 + 520*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 1233021257?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j - 235 + 221 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k**3 - k)*(-3*k**2 + k**2 + 4*k**2)*(19 + 19 + 5)*(1 - 1 + 1)*(-6 - 3 - 2).\nAnswer: 946*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1112*o + 97856. What is m(-88)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3289.13 + 3303. What is n rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8)*-14*2. Let h = -3 + v. Suppose -4*r + 3 = o + 23, -r - 5*o = 24. Put -3, r, h in descending order.\nAnswer: h, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -18*q - 17. Let p be k(5). Let m = -107 - p. Suppose -7*t + 19*t + 300 = m. Is t equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -344481748 to the nearest 10000.\nAnswer: -344480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 17 = 0. Suppose n*o = 12*o. Suppose o*y + 153 = 3*y. Calculate the remainder when y is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**9\/1008 + x**8\/420 - x**7\/840 - x**6\/180 - x**3 + 1. Let p(v) be the third derivative of y(v). Let p(s) = 0. Calculate s.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27968 or 28928?\nAnswer: 27968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-50)*(-760)\/(-1976).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-90))\/(10\/(600\/45))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175638 + 87898 - 14*o + 87806 to s*o + z and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3\/15 + 2. Let h(x) = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o + 228 = 25*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - c + 16. Let o(f) = f**2 - f + 15. Let w(z) = -6*j(z) + 7*o(z). Let x be w(0). Suppose -40 = -x*b + 4*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (9 - -17) + (-43 - 13)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8654 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 5*f - 6. Let d be w(-5). Let s be (-1)\/d - 155\/12. Let a = -27\/2 - s. What is the biggest value in a, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 + 1446*d\/5 - 34920.\nAnswer: 3*(d - 100)*(d + 582)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -208322 = -208319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1145856 and -11\/56.\nAnswer: 8020992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - ((-5)\/1 + 5). Solve -25 = -o*r + 3*t, -t + 15 = 3*r - 6*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 + g**2 - 42*g + 14. Let f be o(4). Calculate the highest common factor of 2700 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-33217654\nAnswer: -16608827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 9*n**2 + 13*n + 6. Let w be -20*2*(-4)\/16. What are the prime factors of p(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 7*i**2 - 2*i + 8. Let q be v(-4). Suppose a + 2*t - 19 = -q*t, -t + 50 = 2*a. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19749.075 months to decades.\nAnswer: 164.575625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.1004238091012 + 0.2.\nAnswer: 21.3004238091012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1011316 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4 + 4*v - 8 - 2*v. Let k = 378 - 375. Calculate n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - (-66)\/(-54). Let h be (6\/15)\/(d\/(-40)). Suppose 4*m + h = 0, 2*x + 3*m - m = -4. Put -3, x, -2 in descending order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:24 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/6 - 789697*u\/6 - 263233 = 0.\nAnswer: -2, 789699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16564 + 34077. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.012867 or 2?\nAnswer: -0.012867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -26*b**2. Let u(f) = 11*f**2. Let s(t) = 19*t**2. Let r(m) = -3*s(m) + 5*u(m). Determine a(r(x)).\nAnswer: -104*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let d(l) = l**2 - l + 1. Calculate d(o) + 2*u(o).\nAnswer: o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14268*p**3 + 28*p**6 + 1892*p**2 + 21*p**5 - 14268*p**3 wrt p?\nAnswer: 3360*p**3 + 1260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*t - 16 - 14 = 0, x - 4*t - 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 383*q - 848. Let l be i(3). Do 305 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1111011111100101?\nAnswer: 1111011111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)*d)\/(d*((d\/((d*d\/d**(-7)*d*d)\/d))\/d)\/d)*(d\/(d*d\/(d\/d**(3\/7))*d*d))\/(d\/(d**(-1\/8)*d)) assuming d is positive.\nAnswer: d**(1447\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/32 + 1\/(-8). Let u = 45 + -42. Solve -6*n + u*n = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6440 and 29072?\nAnswer: 1017520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1738728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**4\/11 - 2374*g**3\/11 + 227180*g**2\/11 - 150400*g\/11 = 0 for g.\nAnswer: 0, 2\/3, 160, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 1854*u**2 + 185364*u.\nAnswer: 2*u*(u + 114)*(u + 813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-45))\/(-2 + 2 + -2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.2? (a) 659 (b) -1\/42 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z + 202*z**5 + 8*z - 48*z**2 + 47*z**2 wrt z?\nAnswer: 12120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/18)\/(2\/48). Let s(x) = -8 - 5*x + y. Let g(r) = -r. What is s(g(l))?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 12*x + 18. What is t(-12)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-8)*30\/75?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -56.5355 and -0.054.\nAnswer: -56.5895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 71 = -0*d + 4*d, -3*x + 3*d + 48 = 0. Solve w - 2*a + 3 = 0, -w + x = -0*w + 4*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/2 - 8)*(-56)\/10. Suppose 52 = 5*g - h. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1028. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -8. Let j(g) = g - 1. Let i(b) = -6*b - 3122 - 3119 + 6246. Determine d*j(q) + 2*i(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 22855037?\nAnswer: 22855037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 10, 4, -17 in ascending order.\nAnswer: -17, -3, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 306414 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/(-10) + 0 + -8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16323 - 12435 = 39*p + 39*p - 24*p for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (44\/198 - 68\/(-18)) + -2. Solve -4*b = 5*m - 3, 3*b - s*m + 13 + 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/6)\/((2 - 3) + -1). Suppose 51 = u + t, -d*t - 223 - 67 = -5*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y + 8. Let h(u) = -84*u + 52. Let g(a) = -5*h(a) + 32*x(a). Suppose 1 + 17 = 3*p. What is the tens digit of g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = -2*l + 8, -r - l = -1. Suppose 0 = -3*v + r + 4. Let p(k) = -3 - k**2 - 2*k**2 - v - 2*k. Let f(h) = -h**2 - h - 1. What is 4*f(x) - p(x)?\nAnswer: -x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-42))\/((-132)\/154)*6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 3, p: 5}. Give prob of picking 2 p.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96037*a*x**2 - 44979116*a + 1276*x wrt x?\nAnswer: 192074*a*x + 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.03 (c) -5 (d) -1.87579 (e) -0.1 (f) -2\/7 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 - 6*a - 5. Let r be u(-3). Suppose -4*h = r*n + n - 101, -4 = -h. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Let p be (32\/28 + -1)\/(2*9\/252). Factor 1\/7*a**q + 0*a**3 + 0 - 1\/7*a**p + 0*a.\nAnswer: a**2*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*h**3 - 764*h**3 - 170*h + 20*h.\nAnswer: -852*h**3 - 150*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -c023 (base 13) to base 9\nAnswer: -40175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623 is divided by 59?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1576.324km?\nAnswer: 1576324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d*d**1*d)\/d*d*d)\/d)**(-2\/5))**(-1)*d**3\/(d\/(((d*(d\/d**3)\/d)\/d)\/d))*(d**(2\/3)*d)**25 assuming d is positive.\nAnswer: d**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = -15*b + 595. Let r(f) be the second derivative of 3\/8*f**b + 1\/12*f**3 - 5\/48*f**4 - 25*f + 0. What is n in r(n) = 0?\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49417.9991 - 48684.7. Let j = p - 733. Let q = 0.3 - j. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2021, 4050, 6079, 8108, 10137, 12166?\nAnswer: 14195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 12*r + 5. Let x be v(3). Let c(y) = -448*y + 478. Let s(z) = -228*z + 239. Let k(m) = x*s(m) - 2*c(m). Differentiate k(w) wrt w.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*5*8\/(-1680)*(-9)\/630*-15.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o. Let x be t(1). Let v = 18 + x. Suppose -k + 22 = v. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -44*q - 11. Let b(s) = -23*s - 6. Give 5*b(t) - 3*u(t).\nAnswer: 17*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 531286243 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-18 + 27 - (2 + 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4044 - 4050 = q. Let h = 3.9 + -4. Let p(d) = -d**2 + 6*d - 7. Let u be p(5). Which is the nearest to h? (a) u (b) -2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 + 9*m**4 + 17*m**4 + (4*m**2 - 5*m**2 + 3*m**2)*(2 + m**2 - 2).\nAnswer: 31*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 0.6. Let w be 1288\/7350 + 8\/(-100). Let v = 555 - 3891\/7. Which is the closest to y? (a) -3 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -186\/23. Put x, 7.1, -3 in descending order.\nAnswer: 7.1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 20. What is the closest to 1\/3 in -2\/21, 5, o?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8189, 16374, 24561, 32756, 40965, 49194, 57449, 65736?\nAnswer: 74061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 - k**2 - 2*k - 118. Let h(o) be the first derivative of m(o). Determine h(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288 + -288.1. Let o = -6\/23 - -122\/115. What is the nearest to y in o, -0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 11) to base 4\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -1, 28, 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-20))\/(5\/(-40))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 8*x + 369. Suppose -4*y + 8*y - 329 = h, -4*h - 168 = -2*y. What is the greatest common divisor of y and x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*-2*-5.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**2 + 11*j. Let w be (-87)\/39 - 177\/(-767). Let n(z) = -3*z**2 - 2*z. What is w*c(k) - 11*n(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 23413, -4 in increasing order.\nAnswer: -40, -4, 23413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**4\/2 - 5*u**3\/3 + 1037*u**2. Give w(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -46. Suppose -k - 2*q - 12 = -2*k, 2*k = -2*q + 36. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2)*(-1 - 0). Let p be 0 + -3 + 4 - (8 - 8). Suppose q - d*q - 3*g = -33, 0 = -g - p. Solve i + x + 4*x = -17, 2*i = 3*x + q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -53. Suppose 0 = -4*l + 7*l - o. Let t(a) = -3*a**2 - a**l + 10*a**2 + 4*a - 9*a**2 - 2*a**2 + 2. Determine t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = -2*n + 5, 0 = 5*n - w - 16. Suppose -3*b = -n*m + 48, 2*m - 13 = -2*b + 3. What is the highest common divisor of m and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193763945 by 5.\nAnswer: -38752789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 7}. What is prob of sequence eenn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + p + 3 + 1, -2*t = 4*p + 6. Sort t, -4, 1 in decreasing order.\nAnswer: 1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76 and 299?\nAnswer: 22724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 + 7*y - 22. Is o(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in 5, 1, -0.33, 0.5?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 8. Differentiate k + 2*g + 2*g - 5 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**5\/10 + g**4\/3 + 13*g**3\/3 + 10*g**2 - 58*g - 53. Let f(i) be the first derivative of d(i). Factor f(b).\nAnswer: -2*(b - 5)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - (2 + (-22 - -1 - 22))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 13. Solve 0 = -b*m - m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.037?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 95 = 14. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -18 - 2\/2. Let g(y) = y**2 + 21*y + 98. Let x be g(-6). Let c = b - x. Calculate the remainder when 15 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35959 = 241*v - 39233. Calculate the greatest common factor of 696 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 - 7 = 0. Suppose -2*x - g*x = 0. Let h(s) = -s + 2. What is h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47105.\nAnswer: 5, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 - 3*v - 16. What is the remainder when 242 is divided by q(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21092 - -21094. Let -4\/7 - 10\/7*t**k - 2*t = 0. What is t?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/2*(-50)\/(5 + 0) is divided by 2\/(-5) + 186\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x**2 + 2. Let k(d) = -6*d**2. Determine k(u(n)).\nAnswer: -1944*n**4 - 432*n**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*j = 4*r - 83, 0 = j + 1. Suppose -2*o - 2*y + 14 = 0, -5*o + 3*y - 8 + r = 0. What is the smallest common multiple of 11 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 496430200 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*-4*(0 + sqrt(2))*-1 + (sqrt(242) - (-1 + sqrt(242)) - (sqrt(8)\/(sqrt(32)\/sqrt(8)))**2)).\nAnswer: -100*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34645 rounded to 2 dps?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 17301 = -t, 2*t - 34602 = -139*h + 134*h. List the prime factors of t.\nAnswer: 3, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-40)*(-14 + (157 - -7))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-55) - (-7443438)\/33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 + 34*q + 14. Let h be c(-8). What is the nearest to -1 in 3, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = -2*z + 5*z - 2*n, -5*z = -3*n - 495. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3)\/(55*(-20)\/(-24420)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Let x(a) = 2*a**2 + b - 3 + 0. Let d(u) = -2*u. Determine x(d(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 859266150 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: What is -0.00322159388 rounded to 7 decimal places?\nAnswer: -0.0032216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 16*g**2 - 49*g + 42. Give z(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50305 * -5.\nAnswer: -251525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89? (a) -27 (b) 0 (c) -0.02 (d) -1\/4 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from lprpprrqqqfrr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34\/539 - 12\/49. What is the third biggest value in -1\/3, -0.2, q, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*((-3)\/(-1) - 36\/8). Is -2 - (n\/5)\/(2\/2515) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56280 and 20685.\nAnswer: 11087160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7116 - -7119. Let k(w) be the first derivative of -1\/20*w**4 - 2\/5*w**2 + 0*w + 4\/15*w**v + 26. Determine l so that k(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133*x**3 + 363*x - 1777303 wrt x?\nAnswer: -399*x**2 + 363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*r - r. Calculate the greatest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, 1281, 3504, 7553, 13968, 23289?\nAnswer: 36056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 7. Let k be l(5). Let y be (((-131131)\/(-32024))\/(-11))\/((-11)\/k). Let b = y - 2\/4003. Are 1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -0.9. Let a = x - 2. Let l = 3\/29501 - -88482\/206507. Which is bigger: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.3. Let l = -5 + 6. Let y = -3 + 2. Which is the closest to l? (a) y (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 + 2 = 0. Let o(m) = 0 + m - j + 0 + 0*m. Determine o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-3) - 80\/35. Suppose 6*j - 16 = 2*j. Suppose -j = -m - 3*m. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75.72 - -1.28. Let g = a - 81.1. What is the second biggest value in 1, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w + 4. Suppose b = -0*b - 6. Let h be i(b). Is (-2)\/(-8) + (-2415)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -15. Let j be 4 + 0 - (f + 1). Suppose -5*r = -4*a + 12, -j*r + 2*r - 12 = -4*a. Solve 3*k + r*k + 26 = -5*u, 6 = -3*u + 3*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b = -1008510 - 1162914. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, v: 4, h: 2, x: 4, b: 3, l: 1}. Give prob of sequence xxl.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002809852 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((84711\/(-528))\/151).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9 + (3 - 8 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 11 - 4 - 14)*((-2 - 4 + 5)*(8*q + 4*q - 5*q) + (29 + 41 - 24)*(-2*q + 2*q - q)) to a + c*q and give c.\nAnswer: 1431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.869 - 37.501. Let v = -44.013 - -0.013. Let j = x - v. Round j to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*m**2)*(m - 1 + 1) - 3*m + m**3 + 3*m - 2*m - 2*m**3 + 2*m + 3*m - 3*m - 2*m**3 + m**3 + m**3 + 0*m**3 + 40*m - 163*m - 3436*m**3 + 3433*m**3.\nAnswer: -6*m**3 - 123*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.094?\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -22540.2238 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 12. Let i(n) = -2. What is -2*c(l) - 10*i(l)?\nAnswer: 6*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19505 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46670521 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 13*s - 8. Let x be n(8). Calculate the highest common divisor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111222220021101021 + -11?\nAnswer: 111222220021101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 883, 1741, 2599?\n\"Answer: 858*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e619 - -831?\nAnswer: -4dde8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2\/3 (b) 0 (c) -0.2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-18) - 10\/(-4). Suppose -5*n + 4*p + 2147 = 0, -5*n + 1730 = -n + f*p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1959049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17842*j**3*r**2*z + 9*j**3*r*z - 10*j**3*r + 14*j**2*r*z - 21*j*r**2*z - 2*j - 10*r wrt r?\nAnswer: 35684*j**3*z - 42*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*q - 20*q = 0. What is the closest to 0.2 in -3, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**3\/6 + 55*v**2\/2 + 7*v. Suppose 0 = -4*f + 2*f - 0*f. List the prime factors of c(f).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 3*i)*(3*i**4 + 5*i**3 - 5*i**3).\nAnswer: -9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -102, -326, -746, -1422, -2414, -3782?\nAnswer: -5586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475797 + -275438. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 55. Suppose -r*h + 177 = -15. Suppose -2*q + 44 + h = 0. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201.957 - -202. Let q = v + 1.957. What is the smallest value in -0.3, q, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14\/20 - 3186\/(-86940)*7\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5 and (-2)\/22*(30\/(-6) + 0).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*p + 36, 0 = -0*j - 4*j - 2*p + 32. Suppose 0*c - 2*c = -j. What is the second derivative of -d**2 + d**2 - 4*d - 3*d - 8*d**c wrt d?\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 364a (base 14) in base 7?\nAnswer: 36423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**2 - 35*k - 24. Differentiate g(r) with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 - 167. Let u = w + 105. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -11 - 1, -5*g + 3*d = -58. Solve 2*p = 2*q - 14, -5*p - q - g = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/22 and (-3714)\/924 - (-4)\/(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.0115?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 141 - 35 + 89 = 0. Find b, given that -b - 1\/2*b**4 + 0 + 5\/2*b**2 - 3\/2*b**3 + 1\/2*b**u = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5313*j**4 + 338*j + 10981039 wrt j.\nAnswer: 21252*j**3 + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -47) + (-1 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 51. Suppose -4*y = -f + 245, u*f = 5*f - y - 790. Let l = f + -181. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 (base 4) in base 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-5\/6))\/l*l\/((l*l**(-17))\/l))**(15\/11) assuming l is positive.\nAnswer: l**(545\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10652870?\nAnswer: 2, 5, 887, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1111100100001110011 (base 2) to base 13\nAnswer: -14b21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 + 7*x**3 + 3*x**2 - 63*x + 54 = 0. Calculate x.\nAnswer: -3, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Let r = -17 - -20. Let j(f) = -f. Let b be j(r). Determine t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 4*x + 38163 - 38163.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/((-1056)\/(-36)))\/(2*30\/5200)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -4. Suppose -3*y + 1 + c = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -720*o**2*r*x**3 + 21782*o**2*r*x - 18*o**2*x - 12*o*r*x**3 - 6*o*x**3 - r*x**2 wrt x.\nAnswer: -4320*o**2*r - 72*o*r - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -2\/5 (b) -3\/7 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z\/(z\/(z**(-3)\/z*z))*z)\/(z**(-3\/2)\/(z*z**(-3\/7))) assuming z is positive.\nAnswer: z**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 682 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21630 and 863310?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s + 2. Let j be x(-2). Let t = 1\/253 - 258\/1265. Let h = -490 + 488. Which is the smallest value? (a) j (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28634 is divided by 14035?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, -0.02, 3 in decreasing order.\nAnswer: 3, 2\/5, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/10)\/(-2))\/((192\/(-45))\/(-2))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -13. What is the smallest common multiple of 3\/1*(-2)\/(-6) and 25*((-6)\/v)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*h - 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369.7 less than 3903250?\nAnswer: 3900880.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -535, 3, -9, -3 in ascending order.\nAnswer: -535, -9, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xasa when four letters picked without replacement from axsfxfixxxmsfmfamfx?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = -0*y. Suppose 0 = -y*w + 2 + 22. Suppose w*a - 5 = 35. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -276523*y**2 + 4*y - 10705938 wrt y.\nAnswer: -553046*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/s**4)**(2\/5) assuming s is positive.\nAnswer: s**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**5*r\/((r*r\/(r\/(r**(-1\/8)\/r))*r)\/r))**(-2\/5)*(r\/(r\/r**5)*(r**(-7\/5)\/r*r*r)\/r)**(-5\/4) assuming r is positive.\nAnswer: r**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2783*m + 3 + 6264*m**3 - 3 - 2783*m.\nAnswer: 6264*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.6 (b) 0.1 (c) 12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 404 + -373. Suppose -z*q = -218 + 652. Which is the biggest value? (a) 3 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 73073*y - 2. Let g(w) = -132*w. Calculate g(u(j)).\nAnswer: -9645636*j + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(1700))**2 - (sqrt(1700) + sqrt(1700)*-3 + -3)**2.\nAnswer: -5105 - 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6614085 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 121. Find the second derivative of v + 3*a + 61*a**4 - 1339*a**2 + 671*a**2 + 668*a**2 wrt a.\nAnswer: 732*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11163 + -6123. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/90)\/((-7)\/66*2)*28\/77\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135499 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 8*m + 4. What is the tens digit of g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21841, -87595, -197265, -350851?\n\"Answer: -21958*l**2 + 120*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 1. Let w(v) = -v**2 - 11*v - 13. Let h be (24\/(-9))\/(8\/12). Let k be h\/8*(27 + -7). Let b be w(k). What is j(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (770\/(-44) - -18)*(-1 - -3)*4. Sort 1, v, 5, -20, -2 in descending order.\nAnswer: 5, v, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.72084955 - 228.\nAnswer: -228.72084955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from fihfffffffffsfhsons?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 25 = 5*a, -175*a + 8 = -177*a - 2*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/(630\/(-2205)).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -432941\nAnswer: -4\/432941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*k + 26*k + 15*k + 21*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 550 - 333. List the prime factors of q.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/3 - 26*c**2 - 410*c - 269. What is the tens digit of h(-37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Let w(q) = -9*q**2 - 193*q + 1068. Let g be w(-26). Solve -5*l - 16 = -g*x, 5*x = x + i*l + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 5*z - 235 = -33*f, 30 = 6*z. Calculate the highest common divisor of 168 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/5 (b) 2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1 = 5*o + 2*q, q = 2. Let x be ((-3)\/(-9))\/(1\/6). What is the units digit of -1*(0 + x + o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1 + -1)\/(-2). Let n = -3021 - -27245\/9. What is the common denominator of (s\/9)\/((-2)\/105) and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5\/4 - 3*b**4\/2 - 9*b**3\/2 + 3*b**2 + 39*b\/4 + 9\/2.\nAnswer: 3*(b - 3)*(b - 2)*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((-6)\/(-96)*4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 2. Let z(q) = q**2 - 7*q + 8. Let p be z(6). Suppose 3*x + 3*l = p*l + 15, 5*x + 2*l = 25. Suppose -x*t = t. Determine k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 10*c = -8*c + 22, 5*h = -5*c - 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4610625 and 20625?\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q = 3*q - 138145. What are the prime factors of q?\nAnswer: 5, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3225*q**3 + 32745*q**2 - 27744*q + 5652 = 0.\nAnswer: -471\/43, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -961*j + 3964. Is h(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34066 (base 14) to base 16\nAnswer: -1ed6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153*s**3 + 37 + 172*s**3 + 9 + s - 45 wrt s.\nAnswer: 1950*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410593*-944\nAnswer: -387599792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*m + 53*m = -104*m - 3443 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s**2 + s. Let c(z) = -z. Determine c(a(w)).\nAnswer: -23*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 4182?\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than or equal to 0.00048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -9.4\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 - 10*f + 21. What are the prime factors of p(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4609.83421 to the nearest integer.\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35223.\nAnswer: 3, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 69556385, 69556386, 69556387, 69556388, 69556389?\n\"Answer: d + 69556384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.6305 + 4\nAnswer: 1.3695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - 122. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118a7 + -bb?\nAnswer: 117a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*v**3*w**2*z + 2*v**3*w - 8*v**3*z + 17*v**2*w**2 + 2*v**2*z - 2*v*w**2*z + 2*w**2*z wrt v.\nAnswer: 78*w**2*z + 12*w - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 4*a + 3. Let f be u(2). Suppose 4*y - 146 - 46 = 0. Suppose -f*m + y = -57. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 2703842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 111*c**2 - 179*c - 660. Give k(-54).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236236390 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -86 + -1 + 6 - (-153 - -152).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + i = 166 - 145, -5*k - 3*i - 49 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 10*m**2 + 22*m - 22. Let c be d(-12). Is 9\/((-2)\/(-24) + c\/3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + m**4 - m**4 + 0*m**4 - m**4 + 0*m**4 + (0*m**3 + 0*m**3 - m**3)*(2*m + 0 + 0))*(0*m - 3*m + 4*m).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/3 (b) -4 (c) -12 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - -7) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 4*k**2 + 2*k - 1. Let t be h(3). Let a = t + 11. Solve 5*g - 13 = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 21 (c) 14 (d) 0.2 (e) -59.1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, p: 2, c: 2}. Give prob of picking 1 p and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -11, -8, 4\/7 in decreasing order.\nAnswer: 4\/7, 0.1, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-8))\/(((-153)\/(-18))\/17). What is the highest common divisor of c and 9226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23453 rounded to the nearest one hundred?\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 21, 36, 49, 60, 69, 76?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11322 or 0?\nAnswer: -1\/11322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8821224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) -0.1 (b) 9437 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3660.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k - 4*p, 5*p - 4 = -3*k + 17. Suppose 715 = 5*u + 3*r - 785, 5*u + k*r - 1495 = 0. Calculate the highest common factor of u and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 - 6*t. Let b be (2\/10)\/((-2)\/10)*-14. Let i be 33\/7 - ((-18)\/b + 1). Determine s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w. Suppose 5 = y + 5*o + 26, -5*y - 2*o = 13. Let x be k(y). Let c = 4 + x. Solve -c*n - 6 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4548 is divided by 473?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/55 - 22840\/(-11). Find the second derivative of 4 + g*d - 20*d**2 + 7 - 2074*d wrt d.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10912839, 5, -4, -2 in ascending order.\nAnswer: -4, -2, 4, 5, 10912839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.191 - 0.151. Let r = -10 - -9.5. Sort l, -5, -2\/3, r.\nAnswer: -5, -2\/3, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 191, 697, -1\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 2143.\nAnswer: -68576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-9)\/12))\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847))*-3 + 0.\nAnswer: -33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7302\/4)\/((-7)\/(-3) + 1). Let v = -2852\/5 + n. Calculate the common denominator of v and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-15)\/6 + 3). What is the third smallest value in -1, -1\/8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-10 - 3) + (-73 - -49)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-32)\/(-22)))\/((-112285)\/(-6287960)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 63*u**3 - 49*u**2 - 49*u + 49. Suppose 0 = 2*i + 2*i - 4*m + 32, 0 = -5*i + 2*m - 25. Let z(t) = -4*t**3 + 3*t**2 + 3*t - 3. Give i*w(r) - 49*z(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = f - 4*a, 2*f - 4*a + 0*a + 6 = 0. Suppose -4*m + 44 = -4*n, -f*n - 15 = -0. Solve -d = d - m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 9:08 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10*(-20)\/(-1 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(154))\/(sqrt(7) + sqrt(63) + 1*sqrt(63)))\/(sqrt(72)\/(sqrt(9) + sqrt(54)\/sqrt(24))).\nAnswer: 9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 66 = 216. Let r = o + -25. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-15)*(-3)\/2. Let v = 2 + b. Let m = -71 - -73. Solve 6 = -2*r - m*j, 4*r + v = -4*j + 2*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1565 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x - 36*x - 47*x + 2 + 28*x - 3.\nAnswer: -82*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30343798 is divided by 300.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -88, -14444 in decreasing order.\nAnswer: -1\/4, -88, -14444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -1, 4 in ascending order.\nAnswer: -11, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 2*s**2 - 6*s**2 + 5*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 10*a**3 - 11*a**3 + 5*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-28))\/((-5)\/35). Let j be 0*(v + 78\/(-12))*-1. Factor j + 6\/7*b**3 + 9\/7*b**2 + 1\/7*b**4 + 4\/7*b.\nAnswer: b*(b + 1)**2*(b + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.36, -5, 0.4, 2\/9?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650\/3419 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 28\/5. Let t be (4\/9)\/(595\/63 - 7). Which is the fourth smallest value? (a) -3\/2 (b) t (c) f (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -0*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:03 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 + 3*s**2)*(s - 2*s + 3*s) + 2 - 2*s**3 - 2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1014456 divided by 338152\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8509 = 57*h + 12410. Which is smaller: -369 or h?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*11856\/(-26). Let c = -192 + q. Calculate the least common multiple of c and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 15 - 4 = 0. Let k(y) = -6*y**3 + y**2 + 4*y + 3. What is the smallest common multiple of 6 and k(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.058 (c) -2\/35 (d) -47022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 0.0718.\nAnswer: 1.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*0 - -8. Let m(k) = -25*k**3 - k**2 - k - 1. Let i = -3 + 2. Let f be m(i). What is the highest common factor of n and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/124 and (-26)\/120 + 4 - (-1)\/(-3).\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i**2 - 18*i. What is b(4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -285*s**2 + 353*s**2 - 451*s**2 to the form q*s**2 + n*s + u and give q.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 100. Let y = k - 65.7. Let q = y - -0.7. Put -2, 3, q in increasing order.\nAnswer: -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z**3 - 8*z**2 - 6*z + 6. Let n(s) = -10*s**3 - 9*s**2 - 5*s + 5. Let x(c) = -5*k(c) + 6*n(c). What is the third derivative of x(j) wrt j?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 30859.\nAnswer: -11\/30859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 3*c + 9. Let f be z(-6). Let i = f + -112. What is the units digit of (-16)\/48 + i\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-3)*(7 - 6). Let a(y) = -y**3 + 15*y**2 - 2*y**3 + 0*y**3 - 18*y + 4 + 2*y**w. Is a(13) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 9*t + 8. Let m be l(-4). Suppose 0 = -m*i + 4*r + 760, 2*r + 565 = 3*i - 0*r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1516 is divided by 393?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1818 = -3*a, 3030 = 5*a + z + z. Calculate the greatest common divisor of a and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364513 is divided by 100?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 28*g**2. Let l(k) = -65*k. Determine f(l(y)).\nAnswer: 118300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 44 - (-13733 - -13678)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Suppose -2*k - m*k = -10. Let s(c) = -c - 4. Let d be s(-6). Is k not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 25 = 4*f, 0 = 4*a + 25 - 5. Suppose f = -2*t + l + 97, 111 + 37 = 3*t - 4*l. Let i = t - -1. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 24 (c) 5\/2 (d) 4 (e) -6\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1636 = -5*i + 39. List the prime factors of i.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10240024*j**2 - 120904654*j wrt j?\nAnswer: -20480048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(4\/(-14)) + 4)\/((-129)\/(-430)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.14, 276, 0.1 in descending order.\nAnswer: 276, 3, 0.14, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/5 + 778*b - 756605 = 0. What is b?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -7\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (129\/(-27) - -8) + (-2)\/9. Suppose -y*l = -64 + 55. Factor -4\/3*p + 4\/3*p**4 + 1\/3*p**5 - 4\/3*p**2 + p**l + 0.\nAnswer: p*(p - 1)*(p + 1)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18229463 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:30 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + o - 26, -5*p - 3*o + 48 = o. Factor -5*k + 37*k**2 - p - 15*k**2 - 23*k**2 + 4.\nAnswer: -(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*t + 43, -n - 31 = -4*t - 0*t. Suppose -t*s - 24 = -10*s. What is the smallest common multiple of 18 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/4)\/i)**(5\/16)*(i**2)**(1\/4))**(-27\/4))**(4\/23) assuming i is positive.\nAnswer: i**(-189\/1472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2)*9\/(-18). Let k = -1 + 4. Let u(i) = -i + i + x*i + k*i. Let t(q) = q**2. What is t(u(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4967128 and 0.01.\nAnswer: -49671.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28211923 - 5?\nAnswer: 2821191b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6 - (144072\/(-162))\/(-23).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911.9578 kilometers in nanometers?\nAnswer: 911957800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 287*z + 8707. What is x(-25)?\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (8\/(-10))\/(3\/(-195))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1975291393?\nAnswer: 1975291393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564 + 564 + 31*j - 31*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7890319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 4 + 238257\/34452. Let u = -1\/957 - p. Let j = -6.7 - -7. What is the nearest to -3\/5 in j, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*r + 783*r = 55*r + 40560 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 153 (b) 12 (c) 3\/8 (d) -2 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 751428 (base 10) in base 12?\nAnswer: 302a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4275348115 to the power of 1\/3, to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2. Let j(g) = 5*g + 0 + 4*g + 8. Suppose 0 = r - 0*r - 5, 2*x + 11 = -r. Let z(y) = -6*y - 5. Let b(v) = x*z(v) - 5*j(v). Give w(b(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 5 = 0, 5*y + 2*k - 20 = 0. Let w = y + -24\/13. Factor 2\/13*h**2 + w*h + 0.\nAnswer: 2*h*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 20*c + 68. Let a be f(-23). Let z(n) = -18*n**2 - n - 1. Determine z(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -262? (a) 3\/4 (b) 432 (c) 7 (d) -5\/2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let m(p) = 11*p + 4*p - 3 + 6*p + 36*p. Calculate m(d(g)).\nAnswer: 114*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -19 - -13 - (5 - 99). Suppose -10*k + 48 = r. Let d = -4 + -1. Sort k, d, -2, 3.\nAnswer: d, k, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-4))\/(2\/(-2)). Suppose -13*b + 17*b = w. Suppose b = -3*i - 0*i + 324. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 108\/24)*(13 + (42 - -15))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, -5, -1 in increasing order.\nAnswer: -5, -4, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1207.47 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 0 + -2 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -282, -2, -1, -32 in ascending order.\nAnswer: -282, -32, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3\/163, -0.07, -2\/3, -21, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25182329047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/9652 and 53\/8.\nAnswer: 19304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507 - 510 = t - x, -2*t = 3*x + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**4\/12 + 5*o**3\/6 + 1230*o**2 - 2*o. Suppose -3*f + 3 = -15. Give r(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(200) + -3)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and -396 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u - 376 + 376 in the form p*u + l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400371824.\nAnswer: 2, 109, 173, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c + 5. Suppose -3 + 6 = m. Let i(y) = -6*y - 3. Let p(n) = m*b(n) + 5*i(n). Let j(g) = 11*g. What is p(j(v))?\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35*(-5)\/(-4))\/(720\/640).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3461 = -58*d - 445. What is the highest common divisor of 156 and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 1\/2, -1.8.\nAnswer: -1.8, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4235 (base 6) to base 12\nAnswer: -67b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 21 = 4*j. Solve 3 = -3*n + j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6*u - 163 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/46 in 0.1, 3, -0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w**2)\/(w**(2\/3))**(-50) assuming w is positive.\nAnswer: w**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2158948988, -4317897976, -6476846964, -8635795952?\n\"Answer: -2158948988*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 18841*j - 787*j - 23195*j + 60970*j + 33379*j.\nAnswer: -j**3 + 89208*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**2*u**3 - d**2*u**2*v + d*u**4 - 52*d*u**3*v - 14*d*u**2*v - 32*u**2 wrt u.\nAnswer: 24*d**2 + 24*d*u - 312*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r + 124. Let w be p(-10). Let 13*z**5 - 2*z**2 + w*z**3 + 4*z**4 - 2 - 5*z + 38*z**5 - 50*z**5 = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -255. What is the remainder when 11 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 601f7 + 41f?\nAnswer: 60616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/7 - 100768376*p\/7 - 634641600104836\/7.\nAnswer: -4*(p + 12596047)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2489 and 18.\nAnswer: 44802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1165, -3, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tht when three letters picked without replacement from httttthththtth?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1229409, -2458814, -3688219, -4917624, -6147029?\n\"Answer: -1229405*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:07 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*z - 894, 6*y - 75*z - 1851 = -72*z. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 408 - 289. Let q = 344 - b. Calculate the highest common factor of q and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12274*u**2 - 12278*u**2 + 24553*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v + 2. Let y be g(9). Let a = y + 1. Suppose a*m = -1009 - 1331. Round m to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118162489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3)*(20 + 10). Solve -3*z - 5*z - b = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 491 (base 10) to base 6\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 28217252719\nAnswer: 28217252719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1192374857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/14897 - 1623453\/1191760. Calculate the common denominator of b and 1\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90589524*r**3*x**2 - 108512*r**3*x + 458*r**3 wrt x?\nAnswer: -181179048*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(3*17\/51).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + -11 - -18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 49010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/1788 and -151\/42.\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 438*m + 15987.\nAnswer: 3*(m + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 10123043?\nAnswer: 10123103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + 13) - (-4 + 2 + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/9 + 160*i\/3 + 1952\/9 = 0. Calculate i.\nAnswer: -4, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**5*v + 7544149*j**2*v + 17890*j*v + 861*v wrt j.\nAnswer: 360*j**3*v + 15088298*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 8*f**2 + f - 4. Let v be g(8). Suppose s + v = 3*s. Let x be 2 + (0 - (-8 + s)). Solve 7 = 5*z - x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26776034?\nAnswer: 2, 41, 326537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1360534 times 1\nAnswer: 1360534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-1008)*56 + -4*1\/(-18). Suppose y = -5*t + 2*t + 96, -4*y - 5*t = -349. Let o be (-459)\/y + (-3)\/((-9)\/s). Sort 7, o, 1 in increasing order.\nAnswer: o, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1366205, -1366204, -1366203, -1366202, -1366201?\n\"Answer: p - 1366206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 w, and 1 u when four letters picked without replacement from {n: 2, w: 2, u: 1, m: 2, q: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 + 628*v**2\/7 - 1270*v\/7 - 1896\/7 = 0 for v.\nAnswer: -316, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73 + 13*o - 33*o - 458*o**4 + 3339*o**5 + 458*o**4 - 1255*o**5 wrt o?\nAnswer: 41680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -69*y + 37. Let v be k(-6). Let t(s) = s + 83. Let o be t(-1). Calculate the greatest common divisor of o and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -966 + 963. What is the second smallest value in 0.7, -1\/3, u, -2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 78 and 606854510376?\nAnswer: 606854510298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 0*q**3 - 7*q**3 + 0.\nAnswer: -7*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 0.18 in increasing order.\nAnswer: -1, -0.2, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1213\/1510 + 1\/302. Let z = 3 + -6. What is the second biggest value in -7, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/15 - f**4\/2 - f**3\/2 - 3*f**2 - 2*f + 61. Let k(n) = -7*n**2 + 24*n + 6. Determine 5*d(u) + 3*k(u).\nAnswer: -u**2 + 12*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, w: 9}. What is prob of sequence wwy?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*x + 110*x + 109*x - 318*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/12 + 5*b**3\/6 + b**2\/2 - 2*b + 3. Let p(f) be the first derivative of i(f). Let j = 4 + 1. Calculate p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-3) - (1 + -261). Suppose -4*x - 4*x = h. Let f = -24 - x. Solve -k = k - f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26*k + 550. Does 6 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9452, 15119, 56076, 113425, 187172, 277323?\nAnswer: 383884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000689142044 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 44*b**4 + 84*b**2 - 3. Let m(y) = 2*y**2 - 1. Let u(f) = -c(f) + 3*m(f). What is the third derivative of u(l) wrt l?\nAnswer: -1056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011 (base 2) to base 9.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8001.7484 to 0 decimal places.\nAnswer: -8002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 123919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 less than -0.04749479?\nAnswer: -110.04749479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 7, -2\/7, 3\/224?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*2 + 5.\nAnswer: 5 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -533 + 564. Suppose y*s + 10*s = 0. Sort s, -37, -3.\nAnswer: -37, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:07 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6011, 5947, 5765, 5405, 4807, 3911, 2657?\n\"Answer: -10*g**3 + g**2 + 3*g + 6017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-14)\/8. Suppose 1 = m*w - 5. Let s be 1 - 2*(-1)\/2. Solve s*a = -3*l - w*a - 37, -4*l - 4*a - 36 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -49 (b) 0.99 (c) -2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/5)\/((-18)\/(-60)). Suppose 4*h - k = 2*w, -25 - 1 = -5*w - 4*h. What is the units digit of (7 - w\/1)*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l**2 + l - 8*l + 21*l**2 - 10*l**2 + l + 5 - 9*l**3. Is 16 a factor of i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.2 times -6608?\nAnswer: 113657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00396820063 rounded to 4 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67598\/3 + -54189\/2. Let z = a + 4547. Find the common denominator of -83\/4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1570 and 24291668.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/8*4\/(-66)*51*210\/210\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13479 - -0.03\nAnswer: -13478.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f*l**3*m + 506*f*l**3 + 3*f*l*m + 5*f*m + 485*l**3 - 45*l**2*m - 2*l*m + 642 wrt l?\nAnswer: -24*f*m + 3036*f + 2910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18452.1155 - -18460. Let w = h + -134.9355. Let v = 127 + w. Round v to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 - -65. Let v = 77.85 + r. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1470 = 24*j - 74946. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124395 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -270?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 - 24*z**2 + 128 = 0. Calculate z.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22055768*x**2 + 4383284*x wrt x.\nAnswer: 44111536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5686*j - 497*j + 1 - 1.\nAnswer: -6183*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125? (a) 3\/5 (b) 2\/5 (c) 4\/3 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -3) + (13 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -17*f + 43. Let l(m) = f*m + 5*m + 0*m - 2*m. Let k(u) = 4*u. Give l(k(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3) + 3 - (sqrt(72)\/sqrt(6))\/sqrt(4))**2*-1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 467135\/27 - 17299. What is the common denominator of 109\/24 and s?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8110058*f**2*r - 5286*f*r + 283*f wrt f.\nAnswer: -16220116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23816623 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j - 282. Determine l(20).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2*w - 952. List the prime factors of w.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10278974 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: In base 12, what is 4 + 3476b?\nAnswer: 34773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70404401?\nAnswer: 3323, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 17*i + 28. Let h be (-4)\/i + 24\/231. Which is the third smallest value? (a) h (b) 5 (c) -3\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/6*11\/(528\/1728)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 14*j + 4*z + 32, -3*j = 5*z + 37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - q = -6*f + 12, 0 = f - 2*q - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -1, 2\/47, 275 in ascending order.\nAnswer: -1, 2\/47, 36, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s + 12*s + 13*s + 6*s - 28*s + 2*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 834?\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 e when three letters picked without replacement from ennne?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 2:30 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13510 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -1\/2*q**6 + 0*q**4 + 0*q**3 + 2 - 3\/2*q**2 + 0*q + 0*q**5. Find the second derivative of c(g) wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 1315, 2958, 5259, 8218, 11835?\nAnswer: 16110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2032 + -2032. Suppose -14 = 5*o - 34. Suppose l*i + 2*i**2 + 2*i**3 + 0 + 1\/2*i**o = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, b: 3}. Give prob of sequence qqb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - -0.6. Let o = 17 - 20. Let d(q) = -q**2 - 2*q + 4. Let t be d(o). Which is greater: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142316 divided by -5\nAnswer: -142316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 + 7*d**3 + 3*d**4 - 4*d + 5*d**3 - 5*d**4 + 8*d**2 - 12*d = 0. What is d?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1 + p - 2*p + 0. Let a(k) = -295*k - 5017. Let x be a(-17). Let i(s) = 1. What is x*u(t) - 3*i(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32538 = 149*i - 62*i. What is the greatest common divisor of 493 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 14162 = -2*i, 0 = -2*i + 5*a + 5731 + 8439. Let l be ((-2)\/30)\/(2\/212427). Let v = i + l. What is the common denominator of 13\/3 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 y when four letters picked without replacement from {m: 4, r: 6, y: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*((sqrt(80) - (sqrt(80) + (5*sqrt(80)*2 - sqrt(80)))) + sqrt(80) + -4 + -1 + sqrt(80) + sqrt(80)) + 3)*3)**2.\nAnswer: 3312*sqrt(5) + 26449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 42.8. Let x = -2.4 - j. What is x rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c - 13*c. Suppose c = 10*g - 63 + 13. Solve -g*i = 2*i - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 37\/5, -11776?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 43930 = 221760. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtdzfcc. Give prob of sequence ztf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 0 = -0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -768, -9, -4, 115.\nAnswer: -768, -9, -4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfgvfbgzagg. Give prob of picking 2 f and 1 a.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r - 249 + 73*r - 7 - 24*r - 23*r to the form x + w*r and give x.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000326 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11298007, 22596006, 33894005?\nAnswer: 45192004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**(-16))\/k)\/(k\/(k**2*k)))\/(((k*k**(-29))\/k*k)\/k*k*k\/(((k\/k**24)\/k)\/k)) assuming k is positive.\nAnswer: k**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h**4 - 3*h**2 - 5. Let r(d) = d**4 - d**2. Let u be 25\/(-8) + (-4)\/(-32). Let w(v) = u*r(v) + x(v). What is the first derivative of w(g) wrt g?\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 144 = -4*i. Suppose -4*f = l + f + 18, 3*f + 6 = 0. Let z = l + 26. What is the highest common factor of i and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*s = s - 10, 5*s + 26 = -2*h. Let u(v) = v**2 + 6*v - 6. Let o be u(h). Calculate the highest common divisor of 8 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-6)\/(-9))\/1. Let q be u*(-2)\/(-4) - -3. Let m be 8\/q*(4 + -3). Solve -m = 4*g, 7 = -4*j + 2*g - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6690*a**3*l*p + 827*a**3 - 5*a**2*l*p - 14*a**2*l - 3*l*p + l - 1 wrt p?\nAnswer: 6690*a**3*l - 5*a**2*l - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45*(-105)\/42?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(sqrt(192)*1 + sqrt(192))*-4*-2.\nAnswer: -3840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-4 - -3 - -179). Let x = g - 107. Suppose 3*k - x = -2*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: (630\/40)\/(-21)*12\/(-15)*130\/26\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 6 = 0. Suppose -d = -2*p - 0. Suppose 2*v - 10 = -3*v. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 784 and 308?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 8*y + 5. Let w be s(-3). Suppose 0*n - 30 = 5*n. Sort w, 0, n.\nAnswer: n, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = s + 1, 3*s = 9. Suppose l*h + 0*h = 0. Is h greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 62. Let o be g(-43). Let a be -11 + o + -6 + (-370)\/(-2). What is the highest common factor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 15, r: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 1, m: 2, a: 1, d: 1, z: 2}. Give prob of sequence wd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -143. Solve 5*o + a*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*(-6)\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*q**2 + 75*q**2 - 15*q**2 + 3*q - 3*q - 6*q**2 + (0*q + 5*q - 4*q)*(4*q - 4*q - q) - 2*q**2 + 5*q**2 - q**2 in the form m + s*q**2 + z*q and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 69*a**3 - 16*a**2 - 15*a + 1. Calculate j(-1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 12 - 11 = 5*g, 8 = 5*g + 3*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5236?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**3 - 920*d**2 - 916*d = 0.\nAnswer: -229, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-15))\/((-6)\/(-9)). Let z = 12 + -16. Sort z, a, 2 in decreasing order.\nAnswer: 2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 2*g - 2. Let v be 0*-4*1\/(-4). Suppose c - 2*c + 3 = v. Calculate w(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-7) - 151\/(-7). What is the greatest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160943 and 672841.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15)**(2\/63) assuming b is positive.\nAnswer: b**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83581 = 25522*q - 26529*q for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 - 2 = 0. Let v = -7 - -5. Let z = -4 + 4.4. Which is the second biggest value? (a) o (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 20130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6237)\/78246*(-36)\/(-11)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553*i - 282608 = -578*i + 227267. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jouj when four letters picked without replacement from joouujuujou?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 1350\/35 - (-8)\/(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 134 - 184 = -21*o. Let d be -1 + (6 - 0\/(-1)). Let q be d\/(-2)*3\/(-6). Put q, -0.3, o in increasing order.\nAnswer: -0.3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, x: 2, i: 2, c: 4}. What is prob of picking 2 x and 1 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*z + 248 - 248)*(-4 + 4 - 168*z + 243*z).\nAnswer: -5925*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, -4, 0, -11, 9 in descending order.\nAnswer: 286, 9, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -105 - (-117 + (74 - 12))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -860*k - 13 + 12 + 2300*k**5 + 151*k + 2 - 2 wrt k.\nAnswer: 46000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:29 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**15*c)\/c)**(-4)*c**14\/c**(4\/15))**41 assuming c is positive.\nAnswer: c**(-30914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 151015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81.57 + 1.43. Let z = -79.9 + u. What is z rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o - 109. Let q(j) = 2. Let k(v) = -n(v) + 7*q(v). Let d be k(2). What is the highest common divisor of d and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5357*m - 473341 = 12176*m - 4740*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**4\/24 - b**3\/6 - 4*b**2. Let d be m(-14). Suppose 4*f - 41 - d = 3*l, f - 25 = -5*l. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76))**2*1 + 1.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 24*r + 1. Suppose 18*n - 23*n - 15 = 0. Let s(l) = 23*l + 2. Let v(t) = n*s(t) + 2*f(t). Differentiate v(h) wrt h.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 380.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khythk. Give prob of picking 1 t and 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 635913961 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17423, -17424, -17425, -17426, -17427, -17428?\n\"Answer: -k - 17422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o**2 - 6*o - 208. Let d(y) = -13*y**2 - 12*y - 417. Let u(k) = 3*d(k) - 5*s(k). Let j be u(18). Put j, -5, 7 in descending order.\nAnswer: 7, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/160893845 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:55 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:39 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*s + 792, 0*j - 3*s - 3932 = -5*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 0*h + 2*h + (-3 + 1 + 1)*(2*h + 3*h - 4*h) + 2*h + 3*h - 3*h + 0*h + 3*h - 5*h - 9*h - 29 + 29 - 102*h - 8963 + 8963.\nAnswer: -114*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -52. Suppose -u = -m*u - u. Which is the closest to u? (a) 0 (b) 4\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-84) + (-210)\/72?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (506\/23)\/(-1*(5 - -1)) - -5.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Let h(f) = -1 + 4806*f + 0 - 4805*f. Let o(y) be the first derivative of -5*y**2\/2 - 6*y + 4. Let r(c) = -6*h(c) + o(c). Calculate r(j(q)).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 - -111100010100111100?\nAnswer: 111100010101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68350 and 9569.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) -4 (c) 128 (d) -0.3 (e) 0.5 (f) -4\/427\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1170291 to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s = -6*s - 312 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 3. Let t be k(-2). What is the second derivative of r + 9*r**2 + 2*r**t + 0*r**5 - 9*r**2 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52))**2*-6*1 - (6*sqrt(39)\/sqrt(3) + 1).\nAnswer: -313 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjjojvfdrrrvvvrfv. What is prob of picking 1 d, 1 f, and 2 r?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*u + 3*i + 2*i - 30, -5*u - i - i = 104 - 116 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840 is divided by 307.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*p**3*w + 1915*p**3 + 3792*p**2*w + 2*p**2 - 5*p*w - 56*p wrt p?\nAnswer: -42*w + 11490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-9))\/(5*3)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121941838 to the nearest integer?\nAnswer: 11043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42832 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.51 rounded to 0 decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/10 - 3*z**4\/4 + z**3 - 4*z**2 - 7*z. Let j be p(-7). Let a = j - 102. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -18. Let a(w) = -5*w - 1. What is the lowest common multiple of a(m) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205\/2 - -571\/5. Calculate the common denominator of -9\/8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -5*b**4\/12 - 66*b. Factor w(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 10. Suppose -4*g = -5*g - 6. Let w be k(g). What is the remainder when 7 is divided by 0\/(-4) + w\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6) + -19 + (12 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 9*m**2 + 7*m - 6. Let c be o(-8). Suppose -c*q + 1 + 9 = d, -4*d + 4*q = -4. Solve -2*t + d*t = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13225626*u**2 - 62731892*u wrt u?\nAnswer: 26451252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 12178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - 106848\/(-7 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {y: 1, q: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -17. Suppose 0 = h + d - 15. Let o(m) = m**2 + 4*m + 1. Calculate o(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 21059034?\nAnswer: 1010833632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85621.22 years to millennia.\nAnswer: 85.62122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/2*(-16)\/(-12). Sort 6, a, 3 in increasing order.\nAnswer: a, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -867758001037.\nAnswer: -867758001041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4*x + 53 = 26 - 6, 6*z = 8*z - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-15))\/((-4)\/5). Let a = -0.2 + 0.1. Is a at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/42*2)\/((-24)\/(-28))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 0.72\nAnswer: -41.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -100858.\nAnswer: 11\/100858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 - 101. Let q = m - 35. Suppose q*a - 29*a = 373. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864\/(-41040)*5\/(-2) - 4\/437?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + 11. Let s be g(-4). Let f be (-29 - -30)*(s + 0). Let c = f + 20. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 57218, 5, -2, -3 in decreasing order.\nAnswer: 57218, 5, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27296 = 20*z + 1444. What is z rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1364 + 1365. What is the second biggest value in f, 14\/3, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65615 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 5*f, 2*f = 6*v - 2*v - 8. Let c = 8 - -8. What is the lowest common multiple of c and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221874 is divided by 221350.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7*u. Let b be u + -1 + 0*(-2)\/(-8). What is the units digit of 4 - 0 - ((-1 - b) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 99*h + 6 + 51*h + 4*h**4 - h**2 + 45*h to r*h**4 + j*h**3 + d*h**2 + i + v*h and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 516 = -f, 7 - 3 = -f. Suppose -2*y = -5*z, z + 1 + 12 = 3*y. Suppose -z*w = 2*w - j. Solve -2*t + 2*h = 14, -3*t - w = 2*t - 4*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8*c + 4374 = -13*c, -8772 = -4*y + 4*c. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 33 = -y, -8*k + 4*k = -4*y - 20. Let a = 28 - k. Let r = -168 + 252. What is the highest common factor of r and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeefeereeeeff. What is prob of sequence fre?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 76 - 248. Suppose 28*u = q*u - 477. Let b(d) = d**2 - 10*d + 18. Give b(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271963*r - 271857*r + 954 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.04 and -6?\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15969, -64420, -145353, -258762, -404641, -582984, -793785, -1037038?\n\"Answer: p**3 - 16247*p**2 + 283*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 8, 191 in decreasing order.\nAnswer: 191, 8, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p - 4. Let w(m) = 15*m + 9. Let f(s) = -7*l(s) - 3*w(s). Suppose -3 - 17 = 10*z. Calculate f(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 28. Solve -b*i = 2*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*b + 60*b - 41*b - 78*b - 10164 = 0 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*a - 742*a = 625 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, r: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 151694746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*s**2 - 5*s**5 - s**5 - 6*s**3 + 9*s**5 + s**5 wrt s?\nAnswer: 240*s**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:06 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4 + 0 - 8 + y**2. Let h = 8 - 8. Determine v(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029236 to five dps.\nAnswer: -0.00292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 22*x + 18 = 30*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.4, 0.2, -2521, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6122891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {f: 5, v: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7086 + -73724?\nAnswer: -65627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 17 - 3 = 0. Suppose -4*r + 12 + y = 0. Suppose 4*p = 5*s - 17, r*s + 2*p = p + 22. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*d**5 - 33*d**4 + 606*d**3 + 1062*d**2 - 11445*d + 3675 = 0. Calculate d.\nAnswer: -7, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*m + 6 = -4*y - 339*m + 55 + 7, m + 5 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(8\/13)*d*d)\/(d*d\/(d*d*d\/(d*d**(-11\/4)*d))))**(-6))**(-38) assuming d is positive.\nAnswer: d**(15903\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2940 - 1820 = -14*i. Calculate the least common multiple of i and 34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36924010*x + 36924010*x + 99*x**2 + 92*x**2.\nAnswer: 191*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-110))\/((-1)\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26754 and 7987434.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -48*w - 6. Calculate the remainder when t(-2) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 2\/283, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*q**2 - 35 - 127*q**2 - 3622*q**3 + 251*q**2 + 648*q**3.\nAnswer: -2974*q**3 + 2*q**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(162) - (sqrt(162)*-3*6 - sqrt(162)) - -2*(0 + sqrt(162))))**2.\nAnswer: 2822688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/13 + 8682*f**3\/13 - 379104*f**2\/13 + 4159496*f\/13.\nAnswer: -2*f*(f - 4297)*(f - 22)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1629.\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 3, c: 3, q: 8, m: 2}. What is prob of picking 1 c and 1 f?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -792 divided by 4\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**9\/453600 + k**8\/30240 + 37*k**5\/60 - 30*k**2. Let y(g) be the third derivative of n(g). Factor y(a).\nAnswer: 2*a**2*(a + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((96\/(-144))\/(4\/2))\/((28\/4)\/1281)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051\/30662 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -249089697 and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 80\/6. Let n(i) = 3*i**3 + 6*i + 10. Let d be n(3). Let z = 161 - d. What is the greatest common factor of h and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440673 is divided by 440622?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 20\/897 (b) 2\/37 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2555607 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277320, -277202, -276994, -276696, -276308, -275830, -275262?\nAnswer: -274604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61903 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*q**2*r**2 - q**2*r - 9*q*r**2 - 3*q - r**2 wrt q.\nAnswer: 84*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 441 * -9.2.\nAnswer: -4057.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004054 rounded to 5 dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310697826 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1053358*a*g**2 + 26*a*g + 94718280*g**2 wrt a.\nAnswer: 1053358*g**2 + 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/3, -10, 0, 0.1.\nAnswer: -10, -1\/3, 0, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127\/((-9779)\/(-396)))\/((-9)\/42).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50545, -202129, -454761, -808441, -1263169?\nAnswer: -1818945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 175465.2646 to the nearest 1000.\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236781648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 1. Let v be n(-3). Let p(c) = 28*c - 4. Let l be p(3). Calculate the greatest common divisor of l and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 138 = -2*b + 3*v, 4*b - 5*v - 150 = -8 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/9 - 7306564*x**3\/3 + 60059134091546*x**2\/9 - 40039400808008*x\/3 + 60059090252168\/9 = 0.\nAnswer: 1, 5479922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93515\/581 - -96172255\/54033. Let c = i - 1619. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -16*l + 1134. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 465*h + 809*h - 30*h**2 - 345*h.\nAnswer: -30*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 - 987*u**2 + 976*u**2 + 2 in the form q + c*u + s*u**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*d - 35 = 0, 5*q - q - 3*d = 24. Find the second derivative of 9*x + q*x + 25*x - 28*x + 16*x**4 wrt x.\nAnswer: 192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -30346.\nAnswer: -30349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 + -4 + 0 - -21)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + a - a + 0 + 0 - a + (2*a - 1 + 1)*(2 + 2 - 2) - 96*a - 68*a + 13*a.\nAnswer: -147*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2021 + -2439.12. Round i to the nearest integer.\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(1\/26). Let i = o - -30. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 7. Let z = -22 - i. Solve 10 + z = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3594648?\nAnswer: 2, 3, 19, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/162 and 191\/1170.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 4*k - 24 = 0, 4*p = k - 4. Let x be 0\/1 + (3 - 4). Let g be p\/x + (-1 - -28). Solve -4*a - 3*d = 2*d + g, 0 = -5*a - 3*d - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5 + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -213, -606, -1311, -2418, -4017?\nAnswer: -6198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/245)\/((112\/(-35))\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 + 2*o + 27. Suppose -89*v = -88*v - 6. What is the remainder when b(v) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - v**2 + 3*v**2 + (-4*v + 0*v + 2*v)*(5 - 3*v - 5).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*b - 4*y + 4, -2*b - y + 6 = 0. Is (11 - 13) + (b - -392) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let p = -28277 - -28278.5. What is the biggest value in l, p, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 1 g when three letters picked without replacement from {c: 5, g: 3, e: 9, k: 2}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733982.634 nanoseconds to weeks.\nAnswer: 0.000000001213595625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 182 + -178. Solve 0 = -d + 3 - o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y - 333. Suppose -2*c + y = c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -3, 2, -5, -62 in descending order.\nAnswer: 53, 2, -3, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331956101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 2 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*u - 22, 5*u + 4*k + k + 30 = 0. Let d = 7 + -8. Let c be (d\/(-2))\/((-3)\/6). Are c and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 30. Let i = q + 24. Differentiate -6*h**2 + i*h**2 + 4 - 2 with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/r**(2\/19))\/(r**(-7)*r**(1\/3))*(r**(-2\/5)\/r)**(7\/6)*((r**0\/r)\/r)**(2\/13) assuming r is positive.\nAnswer: r**(247069\/51870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (2 - 78)) + -25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 216 (c) 25\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -485*w**4*y + 2*w**4 - 12*w + 23*y - 1 wrt w.\nAnswer: -5820*w**2*y + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from ursfuuuuqqqs.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/3 (c) 14 (d) 0.5 (e) -0.2 (f) -5\/7 (g) -0.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*l = -5*y - 3*y + 27, 3*l - 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236431 - 1066*d + 236431 to the form q*d + c and give q.\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/13, 0.3, -38.\nAnswer: -38, -8\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 292 - 298. Let x be 0 + ((-12)\/4 - q). Solve -3*k - x*g = -4*k + 11, 3*k - g - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1119 = -0*m. Let v(b) = b**3 + 5*b**2 + 3. Let j be v(-5). Suppose -4*w - j*l + m = 0, -3*l + 10 = 1. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8249 + 8253. Let j be (1\/(-7)*-1)\/1. What is the second smallest value in m, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 5, 91?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 + a + 2. Let k = 89 - 91. Let v(t) = t**2 - 1. Let j(q) = k*m(q) - 10*v(q). What are the prime factors of j(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*q - 5 - 26, -1 = -q - v. Suppose -q*n + y = -2*y - 105, 0 = 4*n - y - 77. Solve -5*u - 3 + 1 = i, 3*u - 5*i = -n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 4*s - 6. What is a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*x - 4*a + 3, 0 = 3*x - a + 42. Suppose -4 = f + 13. Let v = 4 + f. Is v not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 8*u**2 - 10*u + 2. Let h be t(-9). Suppose -43*z + 42*z = -h. Calculate the remainder when 32 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -64. Suppose c*t + 795 = 8*t. Find the common denominator of -47\/20 and ((t\/(-6))\/(-5))\/(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3096*g - 3682*g - 12227 = -2265 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -23 (b) -2\/11 (c) 0 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i**2*n - i**2 + 949*i*n - 41*i - 2572914*n - 4 wrt i?\nAnswer: -8*i*n - 2*i + 949*n - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11338 times 49225?\nAnswer: -558113050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Suppose -i*t + 11 = -3*t + 4*x, -t - 5*x + 13 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**6\/120 + 3*z**5\/20 + z**4\/12 + 8*z**3\/3 + 12*z**2. What is the units digit of t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110284, -110286, -110288, -110290, -110292, -110294?\nAnswer: -110296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 141. Let c = -25 - g. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 7*o = -268*o - 12558 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10452 (base 7) to base 2\nAnswer: 101001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u - 44*u**2 - 12*u + 7*u to the form g + a*u + w*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 13*b**4\/4 + 5*b**3\/3 - 2*b**2 + 5*b + 40. Is z(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3249 is divided by 428.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = c - 63. Suppose -53*n = -c*n - 40. Factor -n*j**2 - j**2 - 2 + 24*j - 15*j**3 + 14.\nAnswer: -3*(j - 1)*(j + 2)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4486*f + 10005 = -9097*f + 4466*f for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-6 - -15) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -66733.833, -2\/9, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092983 bigger than 1092986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -668, -1134, -1600, -2066, -2532?\nAnswer: -2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 93?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0 - j**2 + 1\/3*j**3 + 3*j. What is the derivative of b(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1103 divided by 25018\nAnswer: -1103\/25018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 66263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q**1*(q\/q**(1\/3))**(-2\/141) assuming q is positive.\nAnswer: q**(-850\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 + 88 + 115 - 11)*(-a - a + a) to j*a + b and give j.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -102, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*a + 1976 + 1039. Sort 1, a, -5, 4, -3.\nAnswer: a, -5, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/14)*o**(-4)\/o)\/(o*o**(-6))**(2\/23) assuming o is positive.\nAnswer: o**(-1493\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (18 - 8\/(-4)). Solve g = -5*w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 66 = -0*w. Let t = -13 + w. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 3*v**3 + 0*v + 3*v in the form j*v**3 + r*v**2 + t*v + m and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 - 11640*o**2 - 187520*o = 0. Calculate o.\nAnswer: -16, 0, 2344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3801 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4)**(-2\/19))**(2\/45) assuming n is positive.\nAnswer: n**(-16\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4036146 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -84.9. Let h = 1.2 + -0.7. Which is the closest to -1? (a) v (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, 142, 212, 282?\n\"Answer: 70*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9439876.\nAnswer: 2, 43, 71, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*h. Is -1 + -1 + h*9 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 {x: 4, s: 10, n: 6}. Give prob of picking 1 s, 1 x, and 1 n.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*k**2 + 15 + 15 - 30 as i*k + m + t*k**2 and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 240. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4463 (base 8) to base 4.\nAnswer: -210303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 195914.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 2*l - 2*l**2 - l**2 + 21. Suppose 3086*f = 3093*f. List the prime factors of k(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 103211 (base 5) to base 13\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -16*l + 1. Let h be w(-1). Let k = h + -9. Suppose 2*d - k = 14. Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (73 - (74 - 25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 7*t + 5*h + 2 = 0, -34 = 40*t - 34*t - 5*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 20. Suppose 35 - 9 = 3*g - 4*v, -2*v = d*g + 4. Suppose 0 = g*s - 67 + 1. Calculate the remainder when s is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2068.2 - 2068. What is the fourth biggest value in -0.1, t, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*f*y**3 - 355*f*y**2 + 40840*f + 2*y**3 wrt y.\nAnswer: -123*f*y**2 - 710*f*y + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/30 + 5*l**4\/12 + 2*l**3 + 5*l**2. Let n(a) = a + 1. Calculate 12*n(w) - t(w).\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23910 or -9?\nAnswer: -23910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.1079375289 + 0.1079424289. Let y = 46 + b. What is y rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -r - 18. Let s = 0.263 - -0.237. Which is the nearest to 11\/4? (a) 2 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 169.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**4\/12 - g**3\/3 + 2*g**2. List the prime factors of b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -190*f**4 - 190?\nAnswer: -760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30186 divided by 1574?\nAnswer: -15093\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crrr when four letters picked without replacement from rdrdrdrrgrcrrr.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 331209.\nAnswer: -331210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 17. Sort -2, 1, t in increasing order.\nAnswer: t, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 30030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*w - 40, 0 = -3*n + 2*w + 2*w + 3. Suppose 3*b - n = -17. What is the tens digit of (-29)\/(1 + 6\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -285958 times 0.1?\nAnswer: -28595.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*d = 15, -5*s - 2*d + 0*d = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.05, -5\/6, 3, -6\/11, -1819?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 24*z**2 + 25*z + 47. Let d = -5621 + 5598. Determine h(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 21577955 in decreasing order.\nAnswer: 21577955, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, a: 3}. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 103 = 3*b, 2*b - 206*d = -202*d + 64. Let r(s) = 2*s + 4. Calculate the lowest common multiple of b and r(3).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96943006 and 3122?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 127371 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 463\/700 - 9\/100. What is the nearest to 0 in -3, -5, c, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -168.34. Round x to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - o**2 + 5*o**2. Let v(u) = 6*u**2 - u + 2. Let n(l) = -v(l) + 5*w(l). What is n(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10141 divided by -5347?\nAnswer: -10141\/5347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 18*r + 102*r as x + d*r and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 224, -2, 4, -284, 0 in decreasing order.\nAnswer: 224, 4, 0, -2, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/4, 3, 1\/3, 7 in increasing order.\nAnswer: -1\/4, 1\/3, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 43, 73, 113, 163?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i*i**2))))\/((i**(2\/27)\/i*i)\/i)*i**(-3)\/(i*i\/((i*i\/i**4)\/i*i))*((i**7\/i)\/i**(1\/6))\/(i**(-1\/4))**(-3\/38) assuming i is positive.\nAnswer: i**(-9277\/4104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 4 - (-1 + 4) - (429 - 517)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a7 (base 11) to base 3\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461210 is divided by 8869?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a**8*a)*a*a\/(a\/(a**(-4\/7)*a*a)*a)*a assuming a is positive.\nAnswer: a**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-1676.93638\nAnswer: -1677.13638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -35080, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 4*sqrt(468))*-6)**2 - (5*sqrt(832) - ((-2 + sqrt(832))**2 - sqrt(832))).\nAnswer: -3536*sqrt(13) + 270548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:09 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -83. Suppose v = -3*h - 8*h + 66. Calculate the smallest common multiple of (168\/(-18))\/(4\/h + -1) and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529491507 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 4\/7, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -250 - -263. Suppose 50 = w - 2*x, 0 = -5*w + 9*x - g*x + 320. What is the highest common factor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g + 1560 - 258 = -10*g - g for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98164883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27106753?\nAnswer: 61, 127, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 - 12*t - 9. Let g be z(8). Let y = g - -111. Suppose w - y*w = -30. Which is the nearest to -1? (a) 0.3 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-64)\/(-12))\/(-4))\/(2\/21). What is the remainder when 2\/((-4)\/14 - 5\/y) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from mmmouuussc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 49.584.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.335541 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -39*c**2 - 15*c + 4. What is q(2)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**6*w**3 + 36709*s**6 - 7*s**2*w**2 + s*w**3 + 2*s*w**2 + 225*s*w - w**3 wrt s?\nAnswer: -120*s**3*w**3 + 4405080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:44 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 357, 957, 1973, 3507, 5661, 8537, 12237?\nAnswer: 16863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 337*q**4 + 57*q**2 + 5*q + 4. Let u(n) = -339*n**4 - 58*n**2 - 4*n - 3. Let x(h) = 3*j(h) + 4*u(h). What is the third derivative of x(o) wrt o?\nAnswer: -8280*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -5. Let w = -5 - b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 - 578. Let b = 278.99887 + p. Round b to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 416592 and 792?\nAnswer: 416592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 12. Let z be b(6). Let q be 24\/14 - (-18)\/63. Solve -3*x + 13 + q = z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 145857870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1330, -1333, -1338, -1345?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3534302 - 3534302 - 31076*f + 31075*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104124 (base 7) in base 11?\nAnswer: 163545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*(-13)\/(1287\/(-1518))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/5376 + 682757\/26880. Let p = -25 + x. Sort -3, -2\/5, p, 5 in descending order.\nAnswer: 5, p, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 16*b = -20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 7*g - 36. Let x be j(-4). Let a(r) = 2*r**3 - 11*r**2 + 7*r + 8. List the prime factors of a(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let q = 37 - 35. Suppose z*n = -q*n + 148. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/9 + 58*r**3 - 35731*r**2\/9 - 17110*r + 189200\/9 = 0. Calculate r.\nAnswer: -5, 1, 86, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 5173.713.\nAnswer: 10347.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.93? (a) 1\/6 (b) 14 (c) 1\/4 (d) 3 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2*(-5 + 18369\/3672). Let v(b) = -18*b - 91. Let x be v(-5). Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/20 and 3\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8935335 by -145.\nAnswer: -61623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69849 - 2*y**4 + 43*y**2 + 34921 + 2*y - 2*y**3 + 34926 to the form d*y**4 + q + x*y + j*y**3 + b*y**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/18 and -163\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -185b (base 15) in base 5?\nAnswer: -132021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 16*v**2 - 18*v + 26. Give g(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345908, -691813, -1037718, -1383623, -1729528, -2075433?\nAnswer: -2421338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -125. Calculate the highest common divisor of x and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpx. Give prob of sequence pxd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3 - 3*p**2\/2 + 7*p - 2. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 569 - 401. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/6 - 5753*a**2\/3 - 4367015*a\/6 + 2189261\/3 = 0. Calculate a.\nAnswer: -11113, -394, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.475455 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-5))\/((-22)\/(-10) - 2). Sort 4, o, -5 in increasing order.\nAnswer: -5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/5 + 8499*y**2\/5 - 33948*y\/5.\nAnswer: -3*y*(y - 2829)*(y - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 5*t**3\/2 - 7*t**2 - 5*t. Let q be m(6). Let h = q - 27. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4342074 is divided by 240?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 15*l - 11*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-30))\/(10\/(-30)). Let d(z) = -z + 4. Let w be d(5). Is w greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 24 = -27*h + 29*h, 0 = 3*h - 6 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3676021.\nAnswer: 23, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5243 = -101*w - 6*w. Let z(v) = -v + 3. Let s be z(-4). Calculate the greatest common factor of w and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -691.\nAnswer: -34\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183145 is divided by 811.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(3\/(-18)). Let q be c\/4 + 2\/4. Suppose -y - q*l + 18 = 0, 0 = 4*y - 2*l + 7*l - 69. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 - -374. List the prime factors of 1\/(-4) + r\/16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45750 and 135210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - 5*q - 18, 0 = -3*r - 3*q. Let i = -174 + 192. Solve -r*c = -i + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 236, 911, 2230, 4409, 7664, 12211, 18266?\nAnswer: 26045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/19670 and -139\/259644?\nAnswer: 1298220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 less than -15581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3512259.753 - -0.26\nAnswer: 3512260.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 166138115 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-945))\/(26\/1404)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**3 + 16*a**2 + 15*a + 7. Let p be 3150\/180*(-1 - (-2)\/10). Is j(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from ovycavct?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 17}. What is prob of picking 1 z and 1 y?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 549 - 329. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2) + (-30)\/(-3). Suppose 1 = k - 4*j + t, -5*k - 5*j = -60. Let h be (-96)\/((-2)\/(k\/6)). Round h to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0 + 0*r + 4*r + 2*r**2 + 4*r - 3. Is 7 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3712 - 15190. Let c = r + 54549. What is c rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 580?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let q be l(-2). Suppose q - 3 = -o. Suppose -o - 5 = -z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 32*i**2 - 7*i + 10*i + 8 - 6. List the prime factors of f(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-17)\/(((n\/(((n\/n**(4\/11))\/n)\/n*n))\/n)\/n))**48 assuming n is positive.\nAnswer: n**(-8640\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 7416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*g + 2. What is the units digit of (g - -12) + 1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9) - (-14)\/(-3). Let d(a) = 18*a + 14. Let b be d(0). Suppose -h = 3*m - 0 + 8, -5*m - h = b. Put z, m, 5 in increasing order.\nAnswer: z, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32\/12673197 - 94799640295\/38678597244. Let i = -19\/327 - a. Let r = 51\/5 - 973\/90. Calculate the common denominator of i and r.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-8))\/(6\/24). Suppose -41 = -q*v + 59. Is (-3 - -4)*(v + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28096767.\nAnswer: 3, 17, 41, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 176 + 38*h + 12*h**2 - 348 + 181. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179 - 179 + 58*y)*(-4*y + 0*y + 3*y)*(-2*y**3 + y**3 + 2*y**3).\nAnswer: -58*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45\/13 - 772\/39. Let h(b) = -2*b. Let s be h(1). What is the common denominator of (4\/11)\/(s - -1) and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 5\/(15\/9). Let z be 2\/(t\/((-49)\/(-2))). Suppose z*a - 4*a - 399 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixwiyuuypixwiww. What is prob of picking 2 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(10\/48*27*109\/9810).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 32*t - 117. Suppose 0 = 4*n + 4, 2*f + f + 127 = -4*n. Let a be m(f). What is the greatest common divisor of a and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**4*g + 5*f**4 + 38*f**3*g + f**2*g + 41*f**2 + 3*f*g - 12 wrt f.\nAnswer: 120*f*g + 120*f + 228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2\/9)*m*m*m))\/m*m**3*(m**3\/m)\/m**(-3))\/((m**1)**33\/(((m*m*m**2\/m)\/m)\/(m\/m**(1\/8)))) assuming m is positive.\nAnswer: m**(-1919\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-5)*(-336)\/14280?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 138 = 13*c + 11 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873512.\nAnswer: 2, 3, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*f - 15. Let p(t) = -11*t**3 - 3*t**2 + 3*t + 4. Is p(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.371 - -0.002072.\nAnswer: 2.373072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**12\/z))\/z*z*z\/z**(-11)*z)\/(z**(-12\/5)\/(z*(z*z\/(z**(1\/12)*z*z))\/z*z)))**(-35) assuming z is positive.\nAnswer: z**(-2233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, 1 d, and 1 x when four letters picked without replacement from {d: 4, v: 8, g: 1, q: 1, x: 3}.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811222596?\nAnswer: 2, 3, 22533961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:58 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9)\/(k*k**(2\/19)))\/(k*k\/k**9*k**(-8)*k))**(1\/21) assuming k is positive.\nAnswer: k**(2167\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 12*z + 15. Let b be j(13). Solve b*s = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2362 + -0.3632. Which is the second smallest value? (a) 1 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -10 - -12) + -30 + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 16*k + 6*k**4 + 9*k)*(0 + 0 + 2*k).\nAnswer: 12*k**5 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)*(5 + -5). Let h be 3\/(-3 - -6) + m. Suppose -c + 162 = k, h = -3*k - 2. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 10*b - 27. Give o(-14).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*y. Let z = y - -1. Let k be ((-3)\/(-3))\/(z\/6). Solve 3*q + 7 = -4*d, d + 5 = k*q - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11629 + 19615 = 15*a - 10696. Is a a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2. Let y be s(-1). Let t = 71 - y. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**2 + 60 - 60.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 611323*g**4*z**3 - 4*g*z**3 - 33582*g*z wrt g.\nAnswer: 7335876*g**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(0 - -3)\/6. Let m = 27 - k. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2327 and 1969?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 815280 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/27698477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 3*x + 28. Let w(k) = k**3 + 6*k**2 - 2*k - 16. Let m be w(-6). Let d be s(m). Solve -2*q = -d - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + 11 - (7 + -1) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*p + 111054, -2*p - 5*c + 21424 = -89624. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1350, -2711, -4072, -5433, -6794?\nAnswer: -8155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + 1 + 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 37 - 74 - 8*i**2 - 114*i**4 + 112*i**4 + 61 + 2*i**3 + 17 to the form g*i**4 + r + z*i**2 + f*i + n*i**3 and give r.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = -2. Suppose 4*q + l + 16 = 0. Does 10 divide 1*-66*q\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*l - 25 = 63, 29 = h + l. Suppose h = 4*b + b. Solve b*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 111*t**2 + 65*t + 3. What are the prime factors of j(-4)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = 8*j. Let u = -103 - -110. Let d be ((-455)\/(-75))\/u + (-2)\/(-15). Is d at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*u + 41, -p + 0*p + 4*u - 12 = 0. Let x be 4 + 92\/p*14. What is the greatest common factor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 2, u: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*x**4 - 1763*a**2*x**2 + 41*a**2*x + 151546*a*x**3 - 17*x**4 - 22*x**2 wrt x.\nAnswer: -48*a**2*x + 909276*a - 408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 144, 290, 442, 600, 764?\n\"Answer: 3*b**2 + 137*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (0 - (-15 + 11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 6. Let u be s(-11). Is (-263)\/u + 5\/(100\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s + 22. Suppose 5*g - 3 + 28 = 0. Let t(p) = 5*p - 23. Suppose -l + 297 = -55*l - 27. Let z(r) = g*y(r) + l*t(r). Differentiate z(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 37*r**2 - 7*r + 9. Let a(v) = v**3 - 27*v**2 + v - 22. Let b be a(27). Is s(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -5)\/8 + 2\/(-56). Let r = -0.59 + 3.59. Which is the biggest value? (a) 1 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.6.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - x - 15. Calculate i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose 8*o = 3*o + a*f + 12, -3*o - 4*f = -2. Solve o*h = 5*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.0069 + 61. Round q to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(99)*2 + sqrt(99))*1 - (-5*1*sqrt(99) - sqrt(99)*1*-3))*4)**2.\nAnswer: 1440*sqrt(11) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**7*d)\/d*d**(1\/14) assuming d is positive.\nAnswer: d**(113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-3*2)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 95*q - 1668. Determine n(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66 + -1?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*r - 5*l, r - 5*r + 2*l + 4 = 0. Suppose r = -3*d + 2085 + 2478. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397 + 439. Let f be (v\/(-49))\/((-18)\/(-28)). Sort f, -0.2, 1\/3, 0.03 in increasing order.\nAnswer: f, -0.2, 0.03, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3490*j**2 + 530*j**2 - 1881*j**2 - 271*j**2 - 786*j**2 to the form z*j**2 + r + y*j and give z.\nAnswer: -5898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12530535 is divided by 6708.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + (48 - 45) + -34\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1329815, 1329802, 1329781, 1329752, 1329715, 1329670, 1329617?\n\"Answer: -4*r**2 - r + 1329820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + ((-14 - -22) + -3 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {n: 4, r: 5, h: 3, p: 2, g: 5}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 743 + 111 = 0. Let r = o + 82. Factor 2\/3*x**r + 1\/3*x**4 + 1\/3*x**2 + 0 + 0*x.\nAnswer: x**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*m + 6*m - 6*m)*(2 - 13 + 5)*(-3 + 1 - 5)*(-2 - 6 - 2) to r*m + t and give r.\nAnswer: 7140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 2420*z**3 - 342260*z**2 - 11405760*z.\nAnswer: -5*z*(z + 48)*(z + 218)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1. Let v(t) = 2*t**3 + 2*t**2 - 3*t + 3. What is -3*q(i) - v(i)?\nAnswer: -2*i**3 - 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 45*i - 54. Let y(r) = 1. Give v(c) + 54*y(c).\nAnswer: 45*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 3*j**3 - 2*j**4 + 3605*j**2 + 3602*j**2 - 7219*j**2 + 2 in the form x*j**2 + u + t*j + o*j**4 + h*j**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 2*w**2 - 2*w - 2. Let x be 2 + 0 + 9\/3. Let o = 3 - x. Let u be a(o). Solve -2*b - 6 = -u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 - 1 = -5*u, 0 = -3*u + 5*i + 21. Differentiate -5*q**u + 4*q**2 + 0 - 1 - 2 wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12 = -a. Let x(f) be the second derivative of 0 + f**a + 1\/6*f**4 + 4*f + 2*f**2. Factor x(m).\nAnswer: 2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-2))\/(4\/(-12)). Suppose g = -o*g. Is g != -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000136667 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11272229 to the power of 1\/2, to the nearest integer?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2 - (-1)\/2). Let d be (-1)\/1 + (m - 0). Suppose 0 = 5*s + d*h - 17, -4*s + 10 = s - 5*h. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-51) - 3 - (-3)\/(27\/45).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485 = 48*d + 149 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 70.04. Let l = 0.74 + t. Which is the biggest value? (a) 0.1 (b) -0.2 (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 <= -2195\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*3.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3592*a*k*v + 318*a*k - 4*a + 3*k*v - 2*k - 10 wrt v.\nAnswer: 3592*a*k + 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3745, 1, 300, 4, -2, -5?\nAnswer: 2\/3745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j + 143. Let d be b(-13). Suppose -17*r + 132 = -d*r. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6458689302?\nAnswer: 2, 3, 13, 263, 359, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 109, 156, 201?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4 and 101\/6467656?\nAnswer: 6467656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0, 2, -62, -1 in descending order.\nAnswer: 33, 2, 0, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612164 is divided by 61207?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4\/9*c + 0*c**2 - 2\/9*c**4 - 4\/9*c**3 + 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 426.7014 centimeters?\nAnswer: 4267.014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4165 divided by 1644?\nAnswer: -4165\/1644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117964.00007 + -117974. Let a = 9.97 + 0.03. Let x = a + b. What is x rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189\/85 - -2897\/1870. Calculate the common denominator of (24\/(-28))\/((-8)\/38) and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + v - 9 = 0, -13*q - v + 7 = -9*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*x - 6, -6730*m + 3*x = -6734*m + 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -334*q + 10018. Give i(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274 and 2603.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 2*h - 3. Let g be w(-8). Suppose 0 = 3*o - 3*m + 51, -5*o + m - g = 20. Let b = -6 - o. Solve b = 2*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48220734?\nAnswer: 2, 3, 73, 89, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1376*a**2. Let s(u) = 81*u**2. Give -5*i(k) + 86*s(k).\nAnswer: 86*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d + 1\/6*d**4 + 0 + 0*d**3 + 15*d**2. Let j(r) = r - r - 2*r. Give o(j(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23367 divided by -15415?\nAnswer: 23367\/15415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-126)\/(-15)*-1)\/(4\/(-10)). Suppose a = 7*u + 7. Solve 4*t + 5*z + 3 = 0, 2 - 3 = u*t + 3*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 21. Let l be z(-9). Find the third derivative of -2*r - 21*r**3 - 30*r**2 + 63*r**l + 2*r**2 + 5*r**2 wrt r.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 0 + sqrt(2057) + -2 - (sqrt(153) - (sqrt(153)*5*6 - sqrt(153)))\/sqrt(9))*-4.\nAnswer: -200*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26578169 divided by -1398851.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23535 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9229?\nAnswer: 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c + 13*c**2 - 8 + 3*c**2 - 10*c**2 + c + c**3. Let l be y(-6). Solve 6*p - 2*p - l = -r, -p + 3 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 11 - 8 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6178995 or -6178936?\nAnswer: -6178995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/27)\/(75\/10*(-68)\/(-153)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -22*v + 496. Determine z(24).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -8. What is the greatest common factor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -301000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from mmpakkbkkbbbkkbgmgg.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -2332?\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11779 is divided by 11632?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2153 + -2160. Let a(l) = 2*l**2 + 18*l + 37. Calculate a(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 513 - 5611*a**3 + 3*a - 4255*a**3 + 17015*a**3 - 4324*a**3 wrt a?\nAnswer: 16950*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -250, 2263, 0.2, -5\/2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -14, -15, -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*o**2 - 3*o**2 + 27*o**3 - 2*o**2 - 151 wrt o?\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5\/3 (b) 6 (c) 15\/34 (d) -16\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065306419 rounded to four dps?\nAnswer: -0.0653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(242) - (sqrt(242) - (sqrt(242) + (sqrt(242) - sqrt(242)*-2)) - sqrt(242)))\/sqrt(11))\/((-2*sqrt(99))\/sqrt(9))*2.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 22. Let m(z) = 2 - 5 + 13*z + 1. Is 12 a factor of m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -2.4. Let l = 0.7 - d. Put 3, -5, l in descending order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 2)*(5*n + 3*n - 2*n) + 0 + 2*n + 0 + (-n + 0*n - n)*(-6 + 5 + 3) as z + y*n and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 12:57 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 37.8403 times 0.09\nAnswer: 3.405627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-5291)\/110)\/(-37).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 54. Suppose 67 = -4*m + 5*o, -3*m + 4*o - 45 = 5. Which is greater: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/22035048 and 59\/8184?\nAnswer: 242385528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 5*u**2 - u + 3. Calculate the remainder when 1\/6 - 274\/(-12) is divided by o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/12 - 2*w**3 + 5*w**2 - 2*w. Let x be z(11). Let r(q) be the second derivative of q**3\/2 - q**2\/2 - 29*q. What is r(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from oouououuuffo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + 0*s**4 + 0*s**4 + 2*s**5 - 3*s**5 - 19*s**5 - 4 - 3*s**5 + 4 + (-2*s**4 - 2*s**4 + 3*s**4)*(-4*s + 3*s + 2*s).\nAnswer: -23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1756 + 1461. What is the smallest value in -2\/3, 0.5, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.71 - -0.11. Let q = 0 + 4. Let k = q + n. Which is the smallest value? (a) -3 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 25. Let y be h(18). Solve -3 - 25 = -y*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11789 + 11813. Solve -117*t = -105*t - b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o - 28. Let x(y) = y**2 + 3*y - 5. Let j be x(-5). Let u be c(j). Solve 20 = -5*r - u*f - 2*f, -2*r = f + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 - 292138*l**3 - 21333231181*l**2 + 426752269020*l - 2133907424100 = 0. Calculate l.\nAnswer: -146079, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2805 is divided by 2738.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 3 (c) 0.1 (d) 1\/312 (e) -5 (f) -12\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 1389*d**2 + 1391*d**2 - 4693*d + 4690*d + 2*d**4 - 11*d**3 in the form j*d**4 + b*d**3 + p*d + s*d**2 + c and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3641362 is divided by 46684?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 7*w - 2. Give i(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9855149 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -9*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, d: 2, r: 5, v: 3}. What is prob of sequence avrr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*a**2*m**3 + 4*a**2 + 26*m**4 + 266 wrt m.\nAnswer: -108*a**2*m**2 + 104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l. Let k(m) = -18*m - 20*m + 1627 - 1627. What is v(k(t))?\nAnswer: 266*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 718194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11120)\/(-1112)*(-1)\/(-7)*3\/6.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 + o - 2. Let m be l(-2). Suppose 0 = 3*n - 0 - m. Suppose 13*c - 15*c + 6 = 0. Put c, 5, n, -4 in decreasing order.\nAnswer: 5, n, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppkpqwppzp. Give prob of sequence kzfq.\nAnswer: 1\/7920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2405015458 rounded to the nearest 100000?\nAnswer: -2405000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:11 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 8*g - 3. Let u(p) = p**2 + 9*p - 5. Let i(m) = -3*h(m) + 2*u(m). Suppose 0 = 4*a - 56 + 16. Suppose a = 4*s + 34. Give i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 18 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = -3*b + 97 + 124 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10108 - -10108.08. Let i be 9\/138*(-4)\/3. Let t = 6 + -11\/2. What is the closest to t in 1, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -5 (b) -0.35 (c) 6 (d) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 15*r + 10*r = 175, -m - 35 = -5*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v - 30. Let w(t) = 5*t + 16. Calculate 6*g(m) + 11*w(m).\nAnswer: -17*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/136 + 82\/16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(12810\/63*(-1)\/(-2)). Let m = -1351 + 1351. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2045, 4090, 6135, 8180, 10225, 12270?\n\"Answer: 2045*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Let r = 27.1 + -27. Which is the nearest to i? (a) r (b) 1\/8 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 4 - 18 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 16 + -42 + 20 + -23 + 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*4\/(-16))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50361 is divided by 541?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 222 = -2*w + 171, -752*l + 2*w + 16 - 101 = -751*l for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1070 - 554*y**3 + 69*y**2 - 289 - 60*y**2 - 9*y**2 wrt y.\nAnswer: -1662*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*r**4 + 163*r**2 + 10*r**4 - 77 + 75 + 20*r**4 to a*r + q*r**3 + b*r**2 + c + o*r**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3685*a**3 + 14750*a**2 + 40*a = 0 for a.\nAnswer: -4, -2\/737, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsqt when four letters picked without replacement from {x: 1, p: 4, t: 6, s: 2, q: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1887 + -1886. What is the closest to j in -2, 3, 5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39804.7 + -39805. Which is the closest to -0.1? (a) m (b) -1\/6 (c) 2\/5 (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.7. Let h be ((-8)\/28)\/(2\/2). Let l = 0 - h. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16257 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*j + 571 = 1605, 4*j = 5*v - 2590. What are the prime factors of v?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3*x + 1 + 2*x.\nAnswer: -x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -4*d + 300. Let i(z) = -z**3 - 5*z**2 + z. Let u be i(-4). Let h = u - d. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 248, 500, 838, 1262, 1772, 2368?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - 124 - (-109 + 100).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Let r = 2 - 1. Which is the nearest to x? (a) r (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikix when four letters picked without replacement from xxikcxciiiriyxxcc?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3361*u + 20163. Determine v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*d + 2849 = 0, -5*h + 886 - 5657 = d. Let c = -563 - h. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -533890.87 to the nearest ten thousand.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 384 - 91*c - 384 to f*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16 and -187\/2190?\nAnswer: 17520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 100005764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -253*t + 220. Let k(q) = -40*q + 35. Let w(a) = -44*k(a) + 7*z(a). Let m = -5 - -6. Calculate w(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83916 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-eight thirds of a century?\nAnswer: 35200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (23 + -52) - -44) + -35.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -164 - 2?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/15 + 584*d**2\/15 + 14014*d\/5 - 28812\/5 = 0.\nAnswer: -147, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 2)*(-21685*m + 21685*m - 273*m**3).\nAnswer: -1638*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(833\/280) - 6. Which is the biggest value? (a) x (b) -4\/9 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426 and 33?\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*o*w + 120*i*w**2 + 2*i - 2*o*w**2 - 2*o - 683*w**2 wrt i.\nAnswer: -2*o*w + 120*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 - 5*w - 6. Let p be z(6). Let o = 2 - p. Suppose 4*l = -o + 26. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 + 350*o**3 - 4745*o**2 + 14350*o = 0. Calculate o.\nAnswer: -82, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137\/3 - -46. Is l bigger than 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/40 and 53\/18290.\nAnswer: 73160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 7*p**2 + 3*p + 55. Let g be d(-6). Sort g, 2, 3 in ascending order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -93, -290, -589, -990?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19685 equal to 19687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**7\/210 - c**5\/20 - c**2\/2 + 2. Let n(b) be the second derivative of w(b). Find the third derivative of n(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**4 + a**3 - 5*a**2 + 2*a - 2. Let t(w) = 8*w**4 + 4*w**2 - 3*w + 3. Let v(c) = -2*t(c) - 3*y(c). What is the third derivative of v(b) wrt b?\nAnswer: 192*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 6:59 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 1*35\/5. Let l(d) be the first derivative of -4*d + p*d**3 - 7\/4*d**4 + 6 + 0*d**2. Find the first derivative of l(o) wrt o.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 17*b - 35 = -39*z - 29*b, 0 = -z + 3*b - b - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.99543 rounded to two decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*4*-4.\nAnswer: -144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 times 62.8507\nAnswer: -0.0628507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:04 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127076 divided by 33?\nAnswer: 375692\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - -2 - (-4 + 29 - 61 - -33)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59591771 to the power of 1\/3, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12.46022m?\nAnswer: 12460220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 6 - 9*v - 311*v**2 + 2*v**3 - 2*v**4 + 11*v - 25 + 1 to the form r*v**4 + t + i*v**2 + f*v + c*v**3 and give i.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 2. Let z = -8 - -10. Suppose -k - 2 = -2*b - 6, -k + 4*b = z. Calculate the lowest common multiple of w(k) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5224*a - 15680. Determine y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 6*j - 195 = 2*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(28) - -6*(sqrt(28) - sqrt(28)*2)) + (sqrt(7) + sqrt(28)\/sqrt(4) + 2 - sqrt(7)) + (sqrt(7) + sqrt(77)\/(sqrt(44)\/sqrt(4)) + sqrt(7))**2.\nAnswer: -19*sqrt(7) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -192559.3199067?\nAnswer: -192554.3199067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 567, 563, 559?\n\"Answer: -4*a + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40188 is divided by 5582?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*z + 41*z + 3120. Suppose 0 = 3*f + 191 - z. What is the greatest common divisor of 621 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -67. Suppose 3*p = s*t - 5220, -3 = -5*t - 5*p + 5177. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-10) + (-77)\/(-55). Suppose -x*k - k = -108. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/2 + 1\/(-2). Let w = -96 - -99. Suppose 6 = y - 2*y - i*d, -d + w = 2*y. Solve 3*c + y*p = 7, -p = -3*c + 3*p - 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153220530?\nAnswer: 2, 3, 5, 5107351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -73. Suppose 0*d + t = -5*d. Let y(s) = 2*s**2 + s - 7. Let m be y(d). What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 261\/4. What is the biggest value in g, -2, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p + 1. Suppose -2*y + 9 = z, -4*y - 6*z + 2*z = -20. Suppose h + 0*h = j + 3, 2*j = -y*h - 24. Let w be m(j). Sort 5, -3, w.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 + 422. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715122 and 73300005.\nAnswer: 146600010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:45 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*l**3*s**2 - 23*l**2*s**3 + 830*l**2*s - 8*l*s**3 - 46*l*s + 826 wrt l.\nAnswer: -258*l*s**2 - 46*s**3 + 1660*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 26*o - 21. Let u be y(-12). Solve w - 4*s + 8 = -3*s, 0 = u*w + 2*s + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-34 + 4 - -18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -5*i**4 + 95*i**3\/2 - 235*i**2\/2 + 225*i\/2 + 517. Factor t(s).\nAnswer: -5*(s - 5)*(s - 1)*(8*s - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3478173 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*m - 8*u + 1015, m - 203 = -3*u. List the prime factors of m.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/6 - 2*k**2. Let h(u) = -885*u + 23 - 17 + 872*u - 6. Give s(h(r)).\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = 23*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmdrfrrf. What is prob of picking 1 d and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-2)\/(-5)) - 4. Which is smaller: 2\/25 or j?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) + (-439823748)\/(-24) + 9. Suppose -89*m = -78*m + x. Round m to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f + (-4 + 6 - 3)*(2 - 3*f - 2))*(f - 3*f + f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 = 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-67)\/8)\/(2\/(-4))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 + -5 - (2 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -59 (c) 2 (d) -5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 192*b - 191*b + 11, -36 = 2*k + 8*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2553245 + 3?\nAnswer: -2553242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-15)*13\/52?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -149 - 549?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/369 or 0.01751?\nAnswer: 0.01751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 13*h - 7000. What is the highest common divisor of h and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019 + 72566.747\nAnswer: 72566.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 - 2*x - 2. Let f(d) = -9 + 3 - 36*d**2 - 15*d - 9. What is -2*f(g) + 15*s(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/(3\/18). Differentiate -91 - 93 - 18*d**o + 159 wrt d.\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.06 (b) 4\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8389*j**5 + 2*j**4 + 802*j**3 - 18342644*j**2 wrt j?\nAnswer: -503340*j**2 + 48*j + 4812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)\/k*k**(2\/15))**4*(k*k*(k**5\/k)\/k*k\/k**0)\/(k**(1\/3)\/(k*k*k*k\/((k*k**5*k)\/k))) assuming k is positive.\nAnswer: k**(-13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -1 (c) 1\/26 (d) 3 (e) 3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006414 to 5 dps.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13.4 (b) -14 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4583250 is divided by 830.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 5, j: 1, y: 3, q: 1, i: 5}. Give prob of sequence jqt.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(315\/52) + ((-1404)\/90)\/(-39).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3140 divided by 628.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -8*z + 27. Let d(b) = -26*b + 227. Let q be d(z). Solve 8*o = -o - q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*120\/(-1260)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(1 + (-11)\/(-3)). Is (-4)\/x - (-3394)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 11*s**2 - s - 7. Give z(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from nnnnnnnnnlnnnnnnnln.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*60*43\/(-16340)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143172)\/(-39770)*50\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*v - 5*v + v)*((0*v + v + 0*v)*(-1 - 4 + 3) - v - v + v)*(5*v - 5*v + v**2).\nAnswer: 114*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 30.2249559 and 3.\nAnswer: 33.2249559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 977.862 months in decades?\nAnswer: 8.14885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4849900 to the nearest ten thousand.\nAnswer: -4850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9 = 2*w - 5*z, z + 3 = 0. Calculate the common denominator of 41\/6 and (-4)\/w*48\/(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 6, -2*z + 5 = h - 4. Let b be (h - -2)*(-2)\/(-6). Suppose -2*y = 4*o - 22, 4*o - 5*o - 11 = -b*y. What is the biggest value in o, -0.089, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -71500, -4, 1, 5 in ascending order.\nAnswer: -71500, -22, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 p, and 1 f when three letters picked without replacement from {f: 3, g: 4, s: 6, p: 6}.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 2. Let m(o) = -8*o**2 + 2*o**3 - o**r + 0*o**2 - 9*o + 0*o**3 + 8. Let b be m(9). What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43910*p + 43904*p + 300. Solve -40*b = -p*b - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166509*c**3 + 127*c**2 + 75409368*c wrt c.\nAnswer: 999054*c + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + c - 2*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 5*k + 1457 = -4*u + 1521, 2*u - 4*k - 38 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*o + 2119 - 2119)*(-3*o - 3*o + 3*o).\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1041905 + -395338. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/7))\/(i**(1\/5)*i))**(-33\/2) assuming i is positive.\nAnswer: i**(-99\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 times 0.5?\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39631 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*b + 218*b + 144 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 43839364 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194031091?\nAnswer: 103, 173, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -7*m**3\/24 - m**2\/8 - 6. Solve r(d) = 0 for d.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360 - 364. Sort -10, 2, -1, i in decreasing order.\nAnswer: 2, -1, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1993458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhd when three letters picked without replacement from {d: 4, l: 11, k: 1, h: 3}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/30 + 3*l**4\/8 - l**3 + 76*l**2 - 1. Give r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(98) + -3)**2.\nAnswer: -42*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4 - 4 + 0*w + 0 - 6*w. Does 13 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 38. Let a be x(-15). Suppose 16*s - a*s - 24 = 0. Solve -4*n + s*w = 19, -21 - 4 = -5*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1398 * 2832\nAnswer: -3959136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -1 (c) -0.1 (d) -1\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*h = 14, c + 5*h - 40 = -2*c. Let w be c*15\/(-20)*2\/(-3). Suppose -878 = -4*b - m, 2*b - 3*m = w*b - 654. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 6:33 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271.41*0.95.\nAnswer: 257.8395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1443 and 9.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24663985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -71569*y - 149*y**2 + 71569*y + 2 as b + n*y + z*y**2 and give z.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.698171 tonnes?\nAnswer: 6698.171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1498*z**5 + 2*z**4 + 2*z**3 + 67211*z**2 wrt z.\nAnswer: -89880*z**2 + 48*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*w**5 + w**3 - 5*w + 12 wrt w?\nAnswer: 2120*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let v(p) = 27*p + 5. Let u(r) = -14*r - 3. Let i(l) = 5*u(l) + 3*v(l). Determine i(k(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -12*u + 51*u + 5 + 55*u. Let n be c(6). Suppose 9 = 3*t, -2*t - n = -5*r - 0*t. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpzy when four letters picked without replacement from zzymupmuzppuzpppp.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 - 103.47. Let s = 0.47 + p. Which is the nearest to s? (a) -2\/15 (b) -5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 855?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6351, 6460, 6569?\nAnswer: 6678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 169*j + 69 - 29 + 57.\nAnswer: -169*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, 160, 7, 1, 2 in descending order.\nAnswer: 160, 7, 5, 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*c**4\/3 - 199*c**3\/3 + 78*c**2 = 0. What is c?\nAnswer: -9, 0, 26\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*u - 20 = 0, -3*p - p = -u + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2. Let y be r(7). Let n = y + -19. Let j(q) = 2*q**2 - 17*q - 111. What is the remainder when n is divided by j(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10273 to the nearest 100.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 7*i)*(-137645*i + 137645*i + 621*i**3) - i**2 + i**2 - 2*i**4 + (3 - 2 - 3)*(3*i**2 - 3*i**2 - 2*i**4) + 3*i**4 + 4*i**4 - 6*i**4.\nAnswer: 4350*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + f = 9, 9*y - 4*y - 3*f + 47 = 0. Let j(l) = l**3 + 14*l**2 - l - 3. Is j(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(70)*1)\/(sqrt(40)\/(sqrt(8)\/sqrt(2)) + sqrt(10)) - (sqrt(1008)*1)\/(sqrt(576)*-2))**2.\nAnswer: 847\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 152, 191, 204, 185, 128, 27?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30954262 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -27868945\nAnswer: 19508261.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 26 (b) -3 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + c + 12*c)*(2*c**2 - 4 + 4) to b*c**3 + z*c**2 + r + j*c and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22359 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.001, 1, 34, -4 in ascending order.\nAnswer: -4, 0.001, 0.1, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 22727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*y - 4. Let j be (-1)\/y + (-46)\/4. Let z(m) = m - 2. Let b(l) = l**2 + 6*l - 11. Give j*z(f) + 2*b(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i. Let j(k) = -9*k**2 + 5*k. Let v(q) = j(q) + 5*y(q). What is the third derivative of v(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 3*h - 39 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 2*b)*(-429 - 119*b + 429).\nAnswer: 119*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/189 and 77\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527*x + 539*x = 24156. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 8. Let f(b) = 2*b + 9. Suppose -4*n = -0*k + 3*k - 25, 29 = 4*k + n. Suppose 0 = -9*a - 7*a + 96. Give a*f(m) + k*u(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/42 - -17\/14. Sort 5, n, -5, 1 in increasing order.\nAnswer: -5, 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.33 (b) 224 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/12 - 0) + 1110\/(-8). Let g = q - -294. Suppose -3*k = -5*d + g, 5*d = -3*k - 2*k + 155. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -947, -2105, -3715, -5771, -8267, -11197, -14555?\nAnswer: -18335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b + 18. What is the tens digit of 9\/b - 543\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + (-7 - 488\/(-32)))*12. Solve 8*w - 23 = 11*w - 4*l, -w = l + t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z - 160. Let o(n) = -156*n + 1. Let v be o(-1). Let l = v + z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 5*w - 5*w)*(-6*w + 0*w - 8*w) + 7*w**2 - 3*w**2 + 16*w**2.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anxaausaxnppaxasx. What is prob of sequence xx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 1*sqrt(2057) + 0 - sqrt(2057))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 388300687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(2\/(-24))\/((-8)\/(-24))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 - 15564*w + 11092815 = 0. Calculate w.\nAnswer: -5823, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347031051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3303 = 4621. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 1508?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 - 3\/(-3). Let c(p) = 8*p**2 - 3*p + 5. Let u(o) = 7*o**2 - 3*o + 4. Let y(j) = 4*c(j) - 5*u(j). Calculate y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1333 + 1331. Sort 3, 40, s in descending order.\nAnswer: 40, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1056747474192 + -0.1\nAnswer: 1056747474191.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c + 3*u - 5*u, 4*c + 5*u - 6 = 0. Suppose v + 2*v = -2*l + 176, -5*v - c*l + 292 = 0. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74655 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 2*h + 8955*h**2 - 54 - 8829*h**2.\nAnswer: 126*h**2 - 2*h - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + 4 + sqrt(75))**2 + ((6*sqrt(336) + sqrt(336) + sqrt(336))*1)\/sqrt(7))*-2.\nAnswer: -104*sqrt(3) - 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l + 5. Suppose g - 2*j - 55 + 13 = 0, -4*g = -2*j - 144. Let a be (4\/7)\/(g\/119). What is the tens digit of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 2*q - 115. Suppose -2952*w + 1216 = -2920*w. What is the remainder when q is divided by w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 380*q**3 - 61172*q**2 - 125168*q - 2608.\nAnswer: 4*(q - 163)*(q + 2)*(95*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -7\/3, -83, 2\/13491?\nAnswer: 2\/13491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.04 and -0.0662455.\nAnswer: -0.20138632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/20 and 127\/1880.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19457 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 - -31?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = s - 2*o, -2*s + 3*s - 22 = 4*o. Sort s, 4, 0, 64, -4 in descending order.\nAnswer: 64, 4, s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18965, -37919, -56861, -75791, -94709, -113615, -132509?\nAnswer: -151391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*k**2 + 91*k**2 - 166*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525173013?\nAnswer: 7, 13, 73, 229591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -134*w**3\/3 - 81*w + 170. Differentiate z(j) with respect to j.\nAnswer: -268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f. Let q(t) = 2*t + 107413. Give b(q(l)).\nAnswer: 6*l + 322239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1. Let r be w(-3). Find the first derivative of 0*c**4 + 2 - 4 + r*c**4 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13728 is divided by 13459.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/50 and 127\/290.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19444*t - 19444*t - 13 + 5*t**2.\nAnswer: 5*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 10*k + 1 = 0. Let r = 6 - k. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1784 + -2059.1. Let q = -104.3 - g. What is q rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -341 (b) -2\/9 (c) 51 (d) -15\/4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 8*d + 5. Let p be m(-4). Suppose -3*f - f = -5*k + 168, -2*k + f = -p. What is the highest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28168 != -28167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 - 7*v**4 - 18*v**3 - 20*v**2 - 8*v.\nAnswer: -v*(v + 1)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63277.54*17.\nAnswer: -1075718.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2283*y + 2283. Calculate j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2419762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-5 - -16) + -5 + -3 + 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 511\/(-949)*14\/49?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from occcscsoccssccs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-20)\/(-105)*(-3)\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*f = -1336, -748*m + 4*f = -749*m + 457. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23134043.\nAnswer: 43, 538001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10622189?\nAnswer: 10622189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10615*f = -10545*f - 5460 for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2032*h - 5*p - 77 = 2034*h - 2, -10*p = 23*h + 150 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -63\/26, 0, -0.3, -3, 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2821 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:55 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84449 + -40284. Suppose -5*o + 223650 - g = 5*l, 4*o = 3*l + 143609. Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((-7)\/(-84)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.748 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 199104, 2\/5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 55\/6*l**3 - 7 - 2*l + 0*l**2 - 29\/12*l**4. Find the second derivative of a(j) wrt j.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26446\/201 + 150\/67. Is u less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, z: 4, h: 7}. What is prob of picking 2 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-72)\/(-108))*5\/3*17\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -11. What is the remainder when -2 + 2 - 405\/(-5) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*g**3 - 2\/5*g**4 - 16\/5*g - 24\/5*g**2 + 0.\nAnswer: -2*g*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (576\/768)\/((-3)\/(-32)*1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106381+18410495\nAnswer: 18516876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15*m**2. Let w(j) = -23319*j. Determine g(w(v)).\nAnswer: 8156636415*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a + 3. Suppose 4*w + 1 = 5*d - 2, 9 = 3*d. Suppose -19 = 5*v - 2*v - 2*i, -10 = v + w*i. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-8)*(-9 - -5). Is -7 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1768\/9 - 196. What is the third biggest value in -0.015, 2\/17, m?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5578 + 2763. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + (3 - (11 - (-2 + -3) - 18))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdffhbb. What is prob of picking 1 f and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.99 - -1. Let t be 2\/(-8) + (-11)\/(-12). Let l = -263\/94 + 61\/47. Which is the fourth biggest value? (a) l (b) h (c) 2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*o**2 + 93*o - 60.\nAnswer: 3*(o + 5)*(7*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2091634 or -2091645?\nAnswer: -2091645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/15*((-6)\/(-15))\/(14*48\/14000)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.20331 litres to millilitres.\nAnswer: 4203.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = 7. Let f = 15933 - 15940. Put 2, q, f in descending order.\nAnswer: q, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 906266326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38692 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is (-126 - 12) + -15 + 16 + (3 + 0 - 18)?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555141 (base 6) to base 9.\nAnswer: -70707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 57, 149, 315, 579?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442.969 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**3 + 2*k**2 + 3*k - 2. Let d = 13 - 16. Let g be a(d). What is g rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56971 is divided by 1579.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17037 is divided by 569?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - 2*(sqrt(567) - (-2*sqrt(567) + sqrt(567))))\/sqrt(9))\/((1*sqrt(90))\/sqrt(10)*-2).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 3 - 3*t - t - t**2 - 4. Let b(r) = -r - 12. Let j be b(-8). What is the tens digit of k(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.124 and -22.\nAnswer: -19.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/19)\/(a\/(a\/(a\/a**(-17)))))**(3\/8))**(1\/11))**(-2\/15) assuming a is positive.\nAnswer: a**(86\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from {o: 2, u: 1, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*2*2)\/(-6*(sqrt(36) - sqrt(4))) - (sqrt(108)*-2 + (sqrt(27) - sqrt(432)) + -3 + -2).\nAnswer: 5 + 62*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -6174?\nAnswer: -1049.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.4, 15, -12.\nAnswer: -12, -1\/8, 0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 280?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43616 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39880\/127 - -314. Suppose 3*c + 2*y - 8 = 0, 0*y = 3*c - y + 4. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) 1\/4 (c) -5\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113885436233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51435838 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138873 and 12?\nAnswer: 555492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17640255.\nAnswer: 3, 5, 53, 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39238 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-71)\/(-4) + (-11)\/(-44). Let s = 22 - z. Solve s*g = 2*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*g**2*q**3*x + 26554*g**2*q**3 - 9*g**2*q - 138*g**2*x - 5*q*x + 31*x wrt q?\nAnswer: 66*g**2*q*x + 159324*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 37852960*r\/9 - 179105822595200\/9.\nAnswer: -2*(r - 9463240)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -671\/4 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 take away 478232109?\nAnswer: -478231772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -38, -5, -2, -35, 3097 in increasing order.\nAnswer: -38, -35, -8, -5, -2, 3097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*1 + (-4 - -3). Let q(m) = m**p - m**2 - 3*m**2 - 2*m**3 + 2. Let x(a) = a**3 + 3*a**2 - 2*a + 5. Let n be x(-4). Determine q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + 27\/18. Suppose x - z = o + 7, -5*x + 37 = -4*z. Let r = x - -5. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10\/n)\/((n*(n*n**13)\/n)\/n*n))\/((n\/(n\/(n*n*n**1*n)))\/(n\/(n*n*n**11)*n)) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3\/3 + 5*q**2\/2 + 7*q + 1. What is the units digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027*p**3 - 1022*p**3 - 192*p + 192*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 188905 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**5\/60 - x**3 - 2. Let n(c) be the third derivative of k(c). Let l(w) = 3*w**2. Give n(l(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 6, 10, 14, 18, 22?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 458 + -458. Suppose c = -18*q - 6*q + 7392. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v. Let f(i) = -5*i**2 - 2*i + 5. Let x(s) = -4*b(s) - f(s). What is the tens digit of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 29518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13*t**2. Let z(y) = 25*y + 120 - 288 + 84 + 84. Calculate z(s(n)).\nAnswer: -325*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005931710658 rounded to four dps?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + -3 + sqrt(20).\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515050 + 1?\nAnswer: -515045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -11. Suppose o*u = -l - l + 80, 0 = -5*l - 10. Calculate the highest common factor of 63 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*i - 1582 = -196. Let t(c) = c + 5. Let k be t(-5). Suppose -s - 1 = -k*s. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -4\/444611?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5. Let f(x) = x + 10. Let a(y) = -3*f(y) - 5*z(y). Let h = 4 + -9. Give a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t + 12. Let p be h(8). Is 101 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.2 (b) 1\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.91, 2\/5, -24\/13, 34\/23, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -250*h**3 + h**2 - h - 1. Let k be c(-1). Let q = k - 212. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 m when four letters picked without replacement from cmmcyycmyywy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1341513?\nAnswer: 1341516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6609087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let u = -102 + 308\/3. Let p(y) be the first derivative of 0*y**2 - 1 + u*y**3 + 0*y. Calculate p(c(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 24 - u - 11*u**4 - 3*u**3 + 4*u**3 + 26 to the form q*u + p*u**3 + f*u**4 + g*u**2 + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*k**2 - 31611*j - 356999*k**2 - 1 wrt j?\nAnswer: k**2 - 31611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 477 - 9527\/20. Let z(b) be the first derivative of g*b**5 + 33\/8*b**4 + 189\/8*b**2 + 81\/4*b - 7 + 1\/24*b**6 + 27\/2*b**3. Solve z(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*3870\/(-19264)*(-16)\/12.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.40838876 rounded to one dp?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -1*sqrt(272)*1 + sqrt(272)) - (-5 + ((sqrt(272) + 1)*-4 - (-2*(sqrt(272) + -1) + sqrt(272)))).\nAnswer: 17 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + -3 + 3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**4\/12 - t**3 + 7*t**2. Let r be 58\/8 + 2\/(-8). What is the units digit of y(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-27 - (13 - 38)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j = -3*y - 75 - 18, -4*y - 4*j - 26 + 1 = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1637, -2062, -2491, -2924?\nAnswer: -3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395.56 rounded to the nearest 10?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 568 + -567. Suppose -2*i = 3*i + 10. What is the biggest value in 1\/3, i, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -96 - 1?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7220.716 decades to centuries.\nAnswer: 722.0716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10401 + 5?\nAnswer: 10410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.24 - 2.24. What is the nearest to w in 4, 5, -2\/9, 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 121\nAnswer: 182\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3840 - 5*c + 3002 + 3*c to z + k*c and give z.\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*f + 5*b = -241*f + 166, 0 = 5*f - 9*f - b + 50 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/22)\/(15\/80)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129411690?\nAnswer: 2, 3, 5, 53, 199, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221 + 224. What is the highest common factor of 87 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268016*x = -268014*x + q - 9, -5*q + 24 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/60*((-33)\/(-15) - 3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*o - 2\/7 + 3\/7*o**2 - 1\/7*o**4 - 1\/7*o**3 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1116 = 4*a, 16 = 4*h - 0*h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-nine fifths of a milligram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 75*f + 5. Let k be a(6). Let g be 1846\/213*((-10)\/(-4) + -1). What is the highest common divisor of g and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2074, -5163, -10406, -18937, -31890?\nAnswer: -50399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199456 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*w = -18, 10*z - 12 = 6*z + 2*w. Sort -9, z, 40, -4 in increasing order.\nAnswer: -9, -4, z, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1)\/((-1)\/(-1286)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -2*w. Solve 5*n - 16 - 7 = -w*v, 11 = 3*v + 2*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**3 + 19*n**2 - 17*n - 1. Let i be m(1). Solve -i*c + 24 = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6063 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 49971326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {g: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*u - 2260*u - 6694*u - 5045*u - 1310*u as d + b*u and give b.\nAnswer: -15108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/7 + 76*j**2\/7 + 722*j + 54872\/7 = 0.\nAnswer: -19, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285907991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -3\/5 (c) -0.033 (d) 6\/11 (e) -5 (f) -1\/429 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57641 + -27652. Let z be p\/(-12) + 2 + (-27)\/(-108). Round z to the nearest one hundred.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 + 66378\/690 - (-13176)\/2270\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-340)\/(-28) + 3\/(-21). Suppose -3*l = 5*p - 6*l - 32, 2*p + 5*l = 19. Let i = h - p. Solve 2*z - 17 = -5*b, -4*z + 5*z - i*b + 29 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5046, -6276, -7504, -8730, -9954, -11176, -12396?\nAnswer: -13614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 46963293.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12551 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixixliixciixiitll. Give prob of sequence tilx.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 2*c + 5. Let l be m(4). Let r = l - -8. Put r, -2, -5 in increasing order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5355, -10707, -16055, -21399, -26739, -32075, -37407?\nAnswer: -42735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23 - 23 + 4*r**2. Let j(f) = -7*f**2. Calculate j(n(c)).\nAnswer: -112*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + y - 14*y - 3*y - 22*y**2 + 24*y**2 + 3*y + 11*y. Suppose -5*o - 2*v = 3*v - 25, 0 = 4*v - 12. Determine n(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**3 + 10*q**2 - 9*q - 8. Let z(o) = 3*o**3 - 9*o**2 + 8*o + 7. Let n(u) = 4*k(u) + 5*z(u). Let r be n(-6). Solve 0*b = 3*b - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 6 - 16*k + 4*k. Let i(f) = 4*f - 5. Suppose -s = 4*l - 19, 0*l + 5*s - 27 = -3*l. What is l*i(z) + 3*j(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005245 to six decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/104*(-16 - -3 - (-34 + 23)). Let b(o) = -o + 8. Let m be b(7). Is m smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8.5. What is the nearest to -2 in 2\/3, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 127. Suppose -39 = a*t - 7. Let y be (-6832)\/(-280) - 1\/((-10)\/t). What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.354 - -0.146. Which is the third smallest value? (a) -1.1 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 10:52 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*z**3 - 29280\/11*z + 486\/11*z**2 - 29768\/11.\nAnswer: -2*(z - 122)**2*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/21 + (-580)\/1218.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 340 = -g. Let b be (-4)\/(-18) - g\/(-18). Suppose -r - 3*x + 18 = 0, -2*r + 37*x - 41*x + 48 = 0. Calculate the greatest common divisor of b and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from yiwiliw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/420 + 55*u**4\/14 - 659*u**3\/42 + u**2 - 1. What is v in g(v) = 0?\nAnswer: 1, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 15.70445 years?\nAnswer: 0.1570445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 26*x + 23. Let d(j) = -13*j - 10. Let k(l) = -6*b(l) - 13*d(l). Let w(u) = -3*u + 2. Give 4*k(n) + 18*w(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1820\/450 + (-4)\/90)\/(2*23). Put f, -12\/13, 14 in decreasing order.\nAnswer: 14, f, -12\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -888, -7209, -24358, -57747, -112788, -194893?\n\"Answer: -902*h**3 - 2*h**2 - h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 23119.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1051*d. Let q(j) = -2438315*j. Calculate -4*q(c) + 9279*u(c).\nAnswer: 1031*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -100 in descending order.\nAnswer: 5, -1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -441, -2, 3, 4, -1 in decreasing order.\nAnswer: 4, 3, -1, -2, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -5 - 4\/(-5). Let s be (7 + -4)*(-4)\/(-42). Is b greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshahahshsh. Give prob of sequence as.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103465 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*y*z - 6*b**2*z**2 + 11*b**2*z + 2*b*y + 15*b*z**2 - 5*b wrt b.\nAnswer: 6*y*z - 12*z**2 + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 + 15*d**2 - 33*d - 22. Determine a(3).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 270, -1, -0.5, 4.\nAnswer: -5, -1, -0.5, 4, 8, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-608)\/(-228))\/((-63750)\/(-4545) - 14)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.6801mg to tonnes.\nAnswer: 0.0000000286801","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(21\/5)\/c)\/c*c**(-5\/6) assuming c is positive.\nAnswer: c**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -608, -903, -1200?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 67*c**5\/60 - c**4\/8 - c**3\/6 - 8*c**2. Let w = -18 + 17. What are the prime factors of r(w)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-63)\/20))\/((2404\/(-3005))\/((-4)\/(-10)))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k*k**(5\/4))**(-1\/11) assuming k is positive.\nAnswer: k**(19\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1475.0527 + -60.\nAnswer: 1415.0527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -56. Suppose 23 = 4*o - 3*l, n*o - o = -l - 5. Solve -5*y + o = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 28*z**2 + 53*z - 23. Let a be p(26). Solve -4*s - 17 = a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*g - 48, 4*d = -2*g - 3*g + 48. Let p = 15 - 21. Let x be (-42)\/(-9) + 4\/p. Solve -3*r + 5*z + d + 6 = 0, 0 = -3*r - x*z - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 964 divided by -482.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 423, 439, 461, 489, 523, 563?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833764313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3567, 3742, 4103, 4734, 5719, 7142, 9087, 11638?\nAnswer: 14879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082 plus 38280167.776?\nAnswer: 38280167.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.13.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184.02 - 185. Round p to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-7) - (2\/(-16))\/(5\/270).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from lllzlcz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050234112 + -892?\nAnswer: -892.0050234112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woowwowoooo. Give prob of sequence wwo.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d - 12. Sort d, 0, 4 in descending order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 13*p + 16. What is f(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 4*p + 5*p + 4341 - 4341 + 40*p + (3 + 1 - 2)*(-2*p + 3*p - 2*p) to the form b*p + r and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -607836, -1215658, -1823480?\n\"Answer: -607822*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13776, -13873, -14152, -14703, -15616, -16981, -18888?\n\"Answer: -15*l**3 - l**2 + 11*l - 13771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -144*f - 303. Let d(q) = -287*q - 607. Let s(n) = 2*d(n) - 5*i(n). Differentiate s(h) wrt h.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -289, -1006, -2405, -4714, -8161, -12974, -19381?\n\"Answer: -38*t**3 + t**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = o - 8, -19 = -3*o + 5*u. Let b(r) = -r. Let h(q) be the third derivative of 2*q**2 + 1\/4*q**4 + 0 + 0*q - 1\/6*q**3. Determine o*h(c) - 10*b(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 609074301 a multiple of 2354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*-2*-3 + (-2*sqrt(1300)*2 - sqrt(1300))**2 - ((sqrt(1300) - (3 + -1 + sqrt(1300))) + sqrt(1300) - (3*sqrt(1300) + -4))**2.\nAnswer: 140*sqrt(13) + 27296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/(-6))\/((-12)\/32). Let n(u) = 8*u + 4*u + 21 - 9 + 347*u**2 - 348*u**2. What is n(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 0 + 0)*(10*r**2 + 58 - 58).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49184888 to the power of 1\/2, to the nearest integer?\nAnswer: 7013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 8*v. Let f be o(-7). Let y be (2\/f)\/(4\/(-28)). Solve 0 = 4*b + y*p, 5*p - 8 - 3 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10824, 10825, 10826, 10827, 10828?\nAnswer: 10829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n. Suppose n*c - c + 36 = 0. Suppose -c = -i - i. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 + 9*l**2 + 6*l - 6*l**2 - 3*l + 4*l**2 as v*l**2 + y + m*l and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -64054 (base 9) in base 14?\nAnswer: -115d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 47. Suppose -4*f = l - 5, 2*l - 5*f + z = 5*l. Solve l + 19 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 578 + -8 - (16\/(-20))\/((-4)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -66.04479\nAnswer: -132.08958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-3256)\/(-307)) + (4416\/506)\/(-24)?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + r - 5*r + 5, -4*z = -2*r + 10. Suppose -5*g + 4*p - 2*p + 2 = 0, -20 = -4*g - 3*p. Sort -4, z, -2, g in decreasing order.\nAnswer: g, -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -533 - 0.58\nAnswer: -533.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/3 + 19*j. Let y(i) be the second derivative of i**3\/2 - 6*i. What is y(k(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2836649, -2836651, -2836653, -2836655?\nAnswer: -2836657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggccgg. What is prob of picking 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -12*u + 18. Let a(o) = o - 1. Let n = -339 + 338. Determine n*z(d) - 18*a(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*f - 35. Find the first derivative of 14*c**3 + 10 - f*c**3 - 3 wrt c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6074 and 0.15.\nAnswer: 6074.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111 - 7*p**2 - 80 - 771*p**4 + 108*p**4 wrt p?\nAnswer: -15912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/4))\/(a\/(a**(10\/7)\/a)))**47 assuming a is positive.\nAnswer: a**(-423\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4613*x - 4576*x + 592 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31 times 55?\nAnswer: 72.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3375*a**5 - 2373*a wrt a?\nAnswer: -67500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 66. Determine m(9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/12 + 15*b**2\/2 - 2*b. Let s be v(0). Solve -s = 5*c - 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*k**3*n - 3550*k**2*n + 174370*n wrt k?\nAnswer: -24*k**2*n - 7100*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**3 - 81*o**2 + 39*o - 284. Give b(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3129 times -176\nAnswer: -550704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose 4*i - 3*i + 1 = p. List the prime factors of (-1 - (1 + i))*-12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z - 4*w + 77, -3*z + 203 = 5*w. Suppose 14 = 5*v - z. Let m be v*(2\/6)\/(-1). Which is the closest to 1\/3? (a) m (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (5 + (-14 - (-4 - 1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -704b62 - -22?\nAnswer: -704b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -2*q**3\/3 + 3*q. Let i(v) = v - 10. Let x(m) = -4*m + 32. Let l(p) = -16*i(p) - 5*x(p). What is k(l(r))?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + r**3 + r**4)*(-3 - 47*r + 3) - 2*r**2 + 2*r**5 - 2*r**5 - 3*r**5.\nAnswer: -50*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -5*b - 5, -5*i - 2*b = -47. Suppose i = 8*c - 5*c. What is the nearest to c in -0.1, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.3 (c) -30 (d) -0.4 (e) -1\/5 (f) 0.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + -1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13957 take away 104965?\nAnswer: -91008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1099*f*k*v - 89*f*k*w + 27*f*v*w - f*v + 39*f*w - 5*k*v + 735*v wrt w.\nAnswer: -89*f*k + 27*f*v + 39*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/14)\/((-2)\/7). Let s be (-7)\/22 + 1\/2. Let l be 2*3*(-1)\/14. Which is the biggest value? (a) k (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -1.068. Let n = -234201 + 234201.0320078. Let x = p - n. What is x rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -68*v + 1045. Determine q(21).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 + 2 = -2*f, -f = 5*u - 3. Suppose -7*y = -f*y + 28. Let n(s) = 3*s**2 + 2*s - 1. Let i(r) = -10*r**2 - 6*r + 3. Give y*n(m) - 2*i(m).\nAnswer: -m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84057?\nAnswer: 3, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11101100101111110 (base 2) to base 4\nAnswer: -131211332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1403\/2798 + 2\/1399. Is 527 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1649387 and 3587?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b - 4*b)*(3 - 3 + 5*b**2) - b**3 + 0*b**3 + 11*b**2 - 5*b**2.\nAnswer: -11*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -119. Let k(r) = -255*r - 16. Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - o + 176, 0*o - 4*o = -a + 31. Let t be (-30)\/a*(-14)\/3. Solve 0 = 2*b - 0 - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {b: 1, q: 2, c: 1, l: 2, e: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:44 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 3*h + 10. Let n be b(0). Calculate the greatest common factor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.334 - 0.134. Sort -5\/2, d, -4\/3.\nAnswer: -5\/2, -4\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 2:50 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = 2*k, -2*k - 3*f = -4*k + 19. Suppose -5*r**2 - 2 + 3*r**k + 5*r**2 - r**2 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -36 - (-8 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -1, 0.25, 2?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + h**2 - 10*h - 1. Let z be i(3). Suppose z*t - 2*c - 1367 - 2028 = 0, 4*t - 2704 = 4*c. What are the prime factors of t?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in -10, -5, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/26 and -15*(-15)\/162 + -5.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 10*a**2 + 2*a - 13. Let b be r(-7). Suppose -d - 4*d = -b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/46485250 and 137\/5983250.\nAnswer: 604308250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, y: 5, x: 2, c: 2, n: 2, l: 1}. What is prob of sequence lw?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-70) - (1 + -2 + 2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.013.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 7*x**2 + 6*x + 2. Let u(k) = -2*k**3 - 6*k**2 - 5*k - 2. Let p be 20\/16*(9\/3 - 7). What is p*c(l) - 6*u(l)?\nAnswer: 2*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 265, 628, 1123, 1744, 2485, 3340?\nAnswer: 4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105825, -211680, -317539, -423402, -529269?\nAnswer: -635140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 30000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59, -213, -463, -809, -1251, -1789, -2423?\n\"Answer: -48*f**2 - 10*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32 - (-5 + 3))*(0 - -14). What is l rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4316866 decades?\nAnswer: 0.04316866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 24 = -i, 3*f - 22 = -3*i + f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 4:56 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + (-17)\/(-5). Suppose -o*p - 15 = -8*p. Calculate the smallest common multiple of 4\/12 + (-40)\/(-6) and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**5 - 2756910*l**4 + 16541345*l**3 - 35839500*l**2 + 33082580*l - 11027520 = 0.\nAnswer: 1, 2, 551376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x. Let k(z) = 11*z**2 - 407 - 9*z + 407 + 9*z. Determine v(k(u)).\nAnswer: 330*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17752 divided by -2536.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -2, 15 in increasing order.\nAnswer: -2, 0.7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157319 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 9*n + 51. Let c be x(24). Let t = c - 335. Calculate the highest common factor of t and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2*x + 0*x)*(22 + 75 - 45) to the form i + c*x and give c.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q - q**3 + 2 - 3 + 4*q**2 + 1 + 2. Let t be -8 + 9 + (4 + -8)*-1. What is u(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 - o**4\/2 + o**3\/3 - 5*o**2 + 8*o. Let g be k(12). Factor 0*d - 2\/11 + 2\/11*d**g.\nAnswer: 2*(d - 1)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3899836 times 5\nAnswer: -19499180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -10, -16, -28, -46, -70, -100?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*d + 5. Suppose 6*s - 1 = 5*s - 3*x, -d*s + 44 = 2*x. What is the remainder when 14 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -102?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/48662152 and -40\/19503.\nAnswer: 437959368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -107, -154, -197?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c6ee (base 16) in base 2?\nAnswer: 11100011011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1389 divide 67991550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 693 - 690. Solve -5*b + l + 20 = 0, 24 - 8 = 4*b + j*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**4 + 0*g**4 - 5*g**2 + 3*g**2 + 1 to the form o*g + d + h*g**2 + x*g**4 + b*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 23. Suppose g = 5*v + 69. Let s be 6\/(-18) - v\/24. What is the biggest value in -2\/21, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20593041, 20593031, 20593017, 20592999?\n\"Answer: -2*p**2 - 4*p + 20593047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5711 in decreasing order.\nAnswer: 5711, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, c: 1, z: 5}. Give prob of sequence zzc.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9372916 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 2735*k + 19390.\nAnswer: -5*(k - 7)*(k + 554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 978.\nAnswer: 11\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4101, -7687, -11369, -15147, -19021, -22991?\n\"Answer: -48*d**2 - 3442*d - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14098127, -14098125, -14098123?\n\"Answer: 2*c - 14098129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.58987l to millilitres.\nAnswer: 85589.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 13*k + k - 1. Let p be c(1). What is the greatest common factor of p and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -204661, -818720, -1842143, -3274924, -5117057, -7368536, -10029355?\n\"Answer: h**3 - 204688*h**2 - 2*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2, -1, -26.\nAnswer: -26, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, v: 4, b: 5}. Give prob of picking 1 v and 1 b.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wghghhhhhgghghgwhhh. What is prob of picking 2 h?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -2. Let b = 0 - n. Differentiate 2*c**b + 2 + 3*c - 3*c wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + ((sqrt(121)*-2)\/sqrt(11))**2 - (sqrt(55)\/(sqrt(20)\/sqrt(4)))**2.\nAnswer: sqrt(11) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 + w**2 + 2*w**2)*((0 - 4 + 5)*(4 + 0 - 3) - 2 - 3 + 3)*(w - 1 + 1) in the form j*w**3 + o*w**2 + t + a*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11314 or -463882\/41?\nAnswer: -463882\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2288 from 0.\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 34. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*c - 12413 = 2576*c - 44322 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2154672 and 4488900.\nAnswer: 53866800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*v - 162*v + 122*v.\nAnswer: 83*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -3 - 4 - (17 - 14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 4*u**2 + 67*u - 264. What is b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 24*t**2 - 3*t + 1. Let w(g) = 9*g**3 + 71*g**2 - 8*g + 2. Determine -8*v(k) + 3*w(k).\nAnswer: 11*k**3 + 21*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 36247.\nAnswer: -31\/36247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 2*k + 52. Suppose 5*f = -4*l + 4 + 8, -2*f = -5*l + 15. Does 13 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171776554.\nAnswer: 2, 5023, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, z: 2}. Give prob of picking 2 a and 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7207.5*-749.\nAnswer: 5398417.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -66 + 196 - 59 - 77 + 4*x. Let j(v) = 36*v. Give j(k(u)).\nAnswer: 144*u - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3)*1\/82. Let y = o + 75\/287. Let v = -211\/4 + 103\/2. What is the nearest to 2 in y, -1, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 290581, 294936, 299293, 303652, 308013, 312376?\n\"Answer: n**2 + 4352*n + 286228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*p - 2114 = 0, 0 = j - p - 818 - 1298. What is the highest common divisor of j and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*d + 3*q - 9, 3*d + 15 = 5*q. Let w(x) = -3*x**2 - x + 6. Let l(o) = -1. Let p(n) = d*l(n) - w(n). Let j be p(1). Solve -j*h = h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632 a factor of 1341091104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + u + 41. Determine c(-11).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*l - 552. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4629.\nAnswer: 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 534031 + 7*j + 20674 + 7*j.\nAnswer: 2*j - 513357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -14, -30, -62, -116, -198, -314, -470?\n\"Answer: -y**3 + y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8569 + 10872. Calculate the remainder when y is divided by 761.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 12*y**2 + 2*y - 2. What is the remainder when 47 is divided by n(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3711 = 4*u - 1413. List the prime factors of u.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2564724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 89*n + 642 = 86*n, -3*v + n + 984 = 0. Calculate the greatest common factor of 5390 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.297*-26.3.\nAnswer: -7.8111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 + 13*q**2 + 13*q + 14. Let r(b) = b**3 - b**2 - b - 1. Let d(f) = g(f) + 5*r(f). Let l(x) be the first derivative of d(x). Factor l(o).\nAnswer: 2*(o + 2)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-r - r + 3*r)*(106 + 16*r - 106).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -24*z - 8. Let i be g(-5). Let j be (108\/126)\/(2\/i). Does 25 divide 5508\/j - (-2)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 + z**3 + z**3)*(z + 5*z - 4*z)*(20 + 19 + 1) to the form a*z + c*z**2 + r*z**4 + i*z**3 + y and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -4)*(-10)\/4. Suppose 0 = -b*d + 11 + 34. Let c = 4 - d. Which is bigger: c or -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.5966099 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*d - 3 - 3 + 78*d in the form x*d + i and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 - -0.164.\nAnswer: -5.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6913892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**3*w + 19*r**3 - 17*r**2*w - 1142*w wrt r?\nAnswer: -6*r**2*w + 57*r**2 - 34*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1235203*0.5.\nAnswer: -0.06176015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8*d - 34 = 0, 5*d - 29 = 74*t - 224*t + 76*t + 76*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1834, -2\/7 in descending order.\nAnswer: 1834, 2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millisecond in microseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 3*j + 51 + 5*j + j + 57 to q*j + i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7049 - 77596\/11. Let m = s + 5. Let f = 3.1 - 2.7. Which is the nearest to f? (a) -0.1 (b) m (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*z + 15. Solve -12 = -3*n - n - g, z*g - 9 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 3812*x + 24. What is g(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5664 + 2331. Let w be (-3 - -2) + 1 + 4. Suppose w*b - 545 + v = 0. Round b to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 1578565*m**2 - 622986596400*m + 15573678322500.\nAnswer: -(m - 789270)**2*(m - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 - 0.05. Which is the nearest to 1\/4? (a) -3\/2 (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156561335717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 6.72, -2\/7, -22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8 and 137\/359240?\nAnswer: 359240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4028 - 2008 + 111*i - 2020.\nAnswer: 111*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9 - 292*d\/3 + 1756\/9.\nAnswer: -(d - 2)*(d + 878)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 72.1. Let q = 31 - 29.7. Let n = b - q. What is the second biggest value in 2, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 1. Let t be o(1). Suppose t = -2*q + 6. Suppose -3*m = 2*y + q*m - 10, m + 2 = 0. Calculate the greatest common factor of 70 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -41, -61, -69, -59, -25, 39?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2182, 2181, 2182, 2185?\n\"Answer: y**2 - 4*y + 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(2\/23)*a))\/(a\/a**(4\/17)) assuming a is positive.\nAnswer: a**(-333\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-939)\/313*((-4)\/2)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206 - 44 - 90)*(-243*x**5 + 97*x**5 + 106*x**5).\nAnswer: -2880*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0 + 1\/30*y**5 - 2*y**2 + 0*y + 1\/12*y**4 - 1\/3*y**3. Let r be a(-3). What is the highest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13054017 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5361*b. Let w(c) = 997*c. Calculate w(y(v)).\nAnswer: 5344917*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = n + 5*q, 0 = 5*n + q - 3*q - 1. What are the prime factors of (n + -2)*65\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(120))\/(sqrt(108) - (sqrt(108) + sqrt(108)*-2)))\/(6*sqrt(32) + sqrt(88)\/(sqrt(55)\/sqrt(5))).\nAnswer: -sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49667247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 3. Let y(z) = 8*z + 9. Let v(r) = 11*q(r) - 4*y(r). Let f(c) = -4*c + 12. What is 2*f(d) + 9*v(d)?\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*d - d - 26 = 0, -2*d - 4 = 0. Calculate the smallest common multiple of (-1)\/(-3) + 40\/6 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 504061281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 14*t - 9120. Suppose 0 = -550*z + 544*z + t. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 + 4)*1\/(-23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 19*j**8\/7 - 3*j**5\/20 + 11*j**4\/12 + 39*j**2 + 644*j. Find the third derivative of y(x) wrt x.\nAnswer: 18240*x**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 115 = 307. Let t be y\/30 + 48\/(-15) + 3. Solve 0 = -t*q + 4 + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -35*w + 7. Does 11 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 8*r - 29. Let x be 2\/(-8)*836\/19. Let f be s(x). Suppose -4*j - 1 = -13. Sort j, -1\/7, f.\nAnswer: -1\/7, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7733.439ng?\nAnswer: 7.733439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o**2 - 2*o**3 - 10*o + 11*o**2 to the form a*o**3 + z*o + n + t*o**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 1 + g + 2*g**2 + g**2 - 2*g**2. Let q be k(1). Is -3\/2 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 109 - 146. What is the remainder when 168 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 3. Let b = -17 - -11. Let g be i(b). Let a = -367 - -363. Sort -2\/9, a, g.\nAnswer: g, a, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 367*h**2 - 364*h**2 + 12*h - h + 10*h in the form w*h**2 + g*h + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 6. Suppose 4*i + 4*s - 437 = s, -5*i = -3*s - 553. Let y = i - 65. Calculate the remainder when y is divided by z(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = 6*f + 4*i, -f + i + 316 = 271 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7520 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 3 = 0. Let j be (-1)\/3 - (-94)\/n. Let t = 61 - j. What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (68\/(-6))\/(38\/57). Let b(k) = k**3 + 19*k**2 + 24*k + 51. Is b(a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272))**2 - sqrt(17)) + 1 - (4*(-3 + sqrt(17)) + 1).\nAnswer: 3*sqrt(17) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 96431 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, 3\/10, 1.131, 99 in decreasing order.\nAnswer: 99, 3.8, 1.131, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c97 - -5?\nAnswer: -2c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/11)\/(h**(2\/61)*h*h*h)*(h**(-19))**(14\/3) assuming h is positive.\nAnswer: h**(-185323\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**2*x**3 + 4*u**2*x**2 - 218581*u**2 + 6209420*u*x + 7*x**3 wrt u.\nAnswer: -6*x**3 + 8*x**2 - 437162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23248.\nAnswer: 2, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 1. Let f be u(1). Suppose -5*d - 4*o - 7 = 0, 0 = -5*d + 3*d + 4*o + 14. Let k(b) = -5*b - 10*b + 14*b - d. Determine k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Suppose 5*n - 2*z = 23, 84*n - 80*n + 3*z - 23 = 0. What is the fourth smallest value in 2\/5, n, d, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/3 - 978*m**3 + 381534*m**2 - 49654106*m\/3 + 46246652 = 0.\nAnswer: 3, 46, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4349 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n - 1305. What is n rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n + 23*n**2 - 2*n - 15*n**6 wrt n.\nAnswer: -1800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 243?\nAnswer: 56\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, -3\/4, 189, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 45*t**5\/4 + 677*t**4\/4 - 1455*t**3\/4 + 699*t**2\/4 + 17*t\/2 = 0.\nAnswer: -17, -2\/45, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/7))**(2\/51)\/(b*b**(-12)*b**9\/b) assuming b is positive.\nAnswer: b**(355\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 divided by 158?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 33. Calculate the remainder when 27 is divided by (x - (5 - 3)) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**7\/21 - 61*c**6\/2 + 761*c**3\/2 + 7*c - 61. Find the second derivative of j(t) wrt t.\nAnswer: -40*t**3 - 10980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*a + 143*a + 49*a - 73*a + 101*a.\nAnswer: 531*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 7*m**2 + 6*m + 3. Let d = -2 + 8. Let c be f(d). What is the second derivative of r - 3*r**2 + c*r**2 - r**2 wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from jburi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153d3 (base 15) to base 12.\nAnswer: -33699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37563518 is divided by 1977026?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 63*k + 6. Suppose -h + 2*p + 13 = 0, 0 = -5*h + 15*p - 8 + 53. Calculate a(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 + 157. Let p = -2.8 - 1.2. Let a = -3.7 - p. What is the second smallest value in a, -2\/25, d?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73811832 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3 - 7. Let s = 2 + z. Differentiate -5*f - 5 + s*f + 4 wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1745*o**4 - 2242*o.\nAnswer: 20940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1732 and -127\/1656.\nAnswer: 717048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -106. Let i be 84\/48 - j\/12. Solve -4 = m - 1, -i*u + 10 = -4*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 43. Suppose j*i - 63 - 353 = 0. Suppose 5*s = 3*s - 2*u + i, -5*s - u + 280 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -611, -1302, -1995, -2690, -3387, -4086, -4787?\n\"Answer: -y**2 - 688*y + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -342*d - 1783*d**3 - 2 + 1780*d**3 + 338*d + 138*d**2 in the form r*d + u*d**3 + m*d**2 + c and give m.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -23242553?\nAnswer: -23242555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2100002?\nAnswer: 2100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 9. Let w be a(3). Is 5748\/(-18)*w\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2408*-0.01815\nAnswer: 43.7052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 6. Let y(l) = l**2. Let t(u) = k(u) + y(u). Let r be t(5). Let p(z) = z**2 + 2*z - 3. What is p(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 + 5 + -1 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 441\/(-126)*(12\/7)\/(-2). Solve q - 4*w - 8 = v*q, 4*q + 4 = 4*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + v + 1 = 28, 4*v + 74 = 5*d. Let r(k) = -k**2 + 2. Let t be r(0). Suppose -t*u + d = -8. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*p - 50 = 0, -2*d - 46*p + 65 = -49*p. Solve 0 = -d*u + 32*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 16. Suppose -5*s = -x, -s = -5*m + s + 4. Solve m = -3*z - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -294*s**2 - 3*s. Let z be a(-2). Let g = -6015 - -6013. Calculate the remainder when 82 is divided by (z\/42 - (-2)\/(-14))\/g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8917.6720103 - -0.3.\nAnswer: 8917.9720103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:50 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41807495479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -20. Differentiate -3*l**c - 33*l**4 - 386 + l**3 + 320 wrt l.\nAnswer: -144*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*5\/5)\/(75\/6)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59738 + 108585. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75132, 147289, 219446, 291603, 363760, 435917?\n\"Answer: 72157*p + 2975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1362564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -119*v. Let o(d) = 23*d. What is z(o(g))?\nAnswer: -2737*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*q = -58, -3*n + 15 = -2*q + 71. Let m be (-3)\/6*n + -4. What is the highest common factor of m and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z - 36 + 86. Solve -3*g + 2*o + 7 = 0, -g + 2*o - z = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19\/4, -624 in increasing order.\nAnswer: -624, -19\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 8) + (-2 - -18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*b*q**3 - q**3 + 196 with respect to b.\nAnswer: 154*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/23135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11316395, 11316394, 11316393, 11316392?\nAnswer: 11316391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilometer in meters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/14)\/(-15)*(-3)\/(180\/(-2260))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -2\/11, -0.4, -0.1, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 12:34 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 26*p - 20. Solve p = -h - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 23 - 23. Let h(z) be the third derivative of -z**5\/15 + 2*z**2. What is n(h(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*p**4 - 122287*c**2*p**2 + c**2*p + 251*c*p - c - 770*p - 1 wrt p?\nAnswer: 36*c**2*p**2 - 244574*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4839 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 9*f + 2. Let z be p(-9). Suppose 0*s + 5*s + z*d - 1587 = 0, 331 = s - 3*d. What is the highest common factor of 29 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (521\/(-11) + 21)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from blefebe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 580. Let q = -328 + z. Suppose 0 = 5*f + 5*a - 70, 4*a + 17 = 2*f - 5. Calculate the highest common factor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15375, 30748, 46121, 61494, 76867, 92240?\n\"Answer: 15373*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-11) + (-8)\/44. Let z = -9.515 + -0.085. Let r = 10 + z. Which is the smallest value? (a) y (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 341 + -341 + -2 + (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.376248 millennia in decades?\nAnswer: 937.6248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 320515377 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c + w - 10, -3*c + 3*w + 6 = 0. Suppose z - c*z + 45 = 0. Let j(g) = -15*g - 1. Calculate the remainder when j(-3) is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -74. Let a(t) = 51 - t**2 - o + 44 - 3*t. Let p be a(-4). Let w(u) = -u + 7. Determine w(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 133. Suppose 99 = 3*b - m. Find the common denominator of 67\/8 and 1286\/b + 2\/5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13\/(u\/(u\/u**20)*u))**(-13\/7) assuming u is positive.\nAnswer: u**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -259*k - 26*k. Factor 16\/3*u + 0*u**2 + k - 4\/3*u**4 - 4*u**3.\nAnswer: -4*u*(u - 1)*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 1. Suppose 5*k = -3*h - 13, k + 12 + 1 = 2*h. Let l(d) = 7*d. Let r(s) = h*v(s) + l(s). What is the first derivative of r(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52201, -52035, -51869?\nAnswer: -51703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by (390\/24)\/((-25)\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 3*g - 6, -6*u - 4*g + 18 = -8*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5850 take away -2393?\nAnswer: 8243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*s**2 + 36*c**2*s + 4*c**2 - 10*c*s**2 - 6*c*s - 2*c + 11*s**2 wrt c.\nAnswer: 6*s**2 + 72*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1, -19\/7?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -81*k - 6. Let w(h) = 2*h + 1. Determine g(x) + 4*w(x).\nAnswer: -73*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -16\/3 (c) 6\/23 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (9 - (0 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*v = 3 - 9, -2*q - v - 1 = 0. Let i(a) = 2*a - 2. Let n be i(q). Suppose 2*w - 4*w + 6 = n. Solve c - w - 7 = -3*h, 3*c + 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5979, 7297, 10845, 17739, 29095, 46029, 69657?\nAnswer: 101095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0*b + 0 + 1\/24*b**4 + 23\/6*b**3 - 141*b**2. Give z(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 206*s**3 + 837*s**2 + 630*s.\nAnswer: -s*(s - 210)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0)\/(1\/4). Suppose -s - 2*t = 3*t + 9, 0 = -2*s + 3*t + f. Let v(n) = 13*n**2 - n + 1. Calculate the remainder when 38 is divided by v(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (2 + sqrt(2448)))**2 - sqrt(85)\/(sqrt(5)*-3).\nAnswer: sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 16. Let m = 15.2 + s. Which is the second smallest value? (a) m (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17396438?\nAnswer: 2, 19, 37, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4395338419 to the nearest integer?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-172)\/(-6))\/(2\/3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115\/(-25) + 1 + (-14)\/10. Put -4, 6, 0, x in ascending order.\nAnswer: x, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(3089 - 40\/8). Is (-1 + 3)\/(10264\/w + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*a + 23. Let n(o) = o**3 + 3*o**2 - 7*o**2 - o - a*o + 7. Is n(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -246 + 243. What is the fourth smallest value in 3\/5, -2\/17, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = n - 3*n. Let p be 0*-1*(-2)\/n. Suppose p = -c - 4*c + 15. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -24*b + 36. Suppose -b*c - 15*c + 36 = 0. Solve o + 1 = a, -a + 10 = a + c*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989736037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**4 + 146133*g**3*t + 642511*t with respect to g.\nAnswer: 16*g**3 + 438399*g**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 6*c + 7. Let s(u) = -u - 1. Let q be s(c). Let r = q + 10. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 9*g**2 + 0*g**2 + g**2. Let h(o) = o**2. What is z(h(x))?\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9283057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36845 + 41933 = 32*j. Solve -j*f + 164*f = 3*v, 2*v + 3*f - 19 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10212?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-35))\/((-12)\/(-30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + c = 13*d + 63, 0 = -3*c + 9. Suppose 4*l - 19 = 1. Suppose y - 3*u - d = 0, l*u + 20 = -0*u. Solve 0 = y*g - g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3\/4)\/((-995)\/796).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/13, 0, -7\/138?\nAnswer: -7\/138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529261720 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 10. Suppose 4*v - 10 = 2*m + 16, 37 = 5*v - m. Let p be a(v). Suppose p*x = -2*x + 348. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/450 and -85\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(2 - 6)*-10. Suppose t = o - 6*o. Let v(d) = -d + 4. Let z be v(o). What is the greatest common factor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/(-9)*(-2)\/4. Let z be ((-33)\/9 + 4)*n. Let g = 24 + z. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 2, q: 1, u: 1, z: 2}. Give prob of sequence gz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/39, 29, 2\/7, 2 in descending order.\nAnswer: 29, 2, 2\/7, 1\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -469*h**3*z**3 + 84049*h**3 - 3*h*z**3 + h*z**2 + 3*h + 2165*z**3 - z**2 + 59*z wrt h.\nAnswer: -2814*h*z**3 + 504294*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) + (-10)\/(-8). Suppose -4 = 3*x - x. Put c, -5, x in increasing order.\nAnswer: -5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g = 0. Suppose -4*y + 20 = g, -4*n - 2*y + 1 = -33. What is the highest common divisor of n and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (2*sqrt(5) - sqrt(5))*-3) + sqrt(5))**2 + (sqrt(245)*-1)**2.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 123, -4, 1.8, 1\/4, -3 in decreasing order.\nAnswer: 123, 1.8, 0.4, 1\/4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2*y**2 - y + 17. Calculate g(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23\/((-1150)\/(-330)) - 2*3. Which is the closest to -5? (a) -1 (b) -2 (c) m (d) 0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**7))\/x**(-6))**2*(x*x**(-4)\/x)\/x**(-1)*(x**(-1\/2)*x)\/x*((x**(4\/5)*x)\/x)\/x assuming x is positive.\nAnswer: x**(223\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - t**2 + t**2)*(-1 - 1 + 0) + (-1 - 32*t**2 + t**2 + 108*t**2)*(t + 2*t - t).\nAnswer: 150*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v**2 + 10*v + 8. Let b be k(0). Solve -b = -2*a, -f = -3*f - 5*a + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 23*x**4\/4 + 2*x**3 + 3*x**2 - 873. Let h(j) = -69*j**3 - 17*j**2 - 17*j. What is 6*h(r) + 17*z(r)?\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4852629 <= -4852628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12091, -48387, -108887, -193591?\nAnswer: -302499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-10))\/(-9)*40\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 43 = -7*m. What is the smallest common multiple of 5\/((-25)\/m) + -2 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -5, -22, 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411 = -141*n - 1398 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from yyyyyylnyyyyyyyyyyy.\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168001295 rounded to 5 dps?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438672413 to the nearest integer?\nAnswer: 20945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 - -22) + 3*1. Suppose u - o = 3*s, -95 = -5*u - 3*s + 4. Solve -2*x - u = 4*k, -3*k - 8 = -3*x + 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 82. Let p be x(-20). Let k = p + -21. Let c = -1 + 10. Sort c, k, -3.\nAnswer: -3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*u + 867 + 3173. Sort u, 1, -2.\nAnswer: u, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 28*n + 141. Determine r(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140015634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 36 = 16. Let l(w) be the second derivative of -3\/20*w**5 + 0 - 2*w - 3\/2*w**3 - 3\/2*w**s - 3\/4*w**4. Factor l(u).\nAnswer: -3*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 49. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2301 times -0.3\nAnswer: -690.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 3*d + 2*d)*(-5 + 4 + 0) + (20 - 12 - 26)*(-4*d + 2*d + 0*d) to the form f + p*d and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951000 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nubwujwt. Give prob of sequence wub.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -85224?\nAnswer: 937464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 15. Suppose 0*o + u = -2*o + 16, 2*o - 16 = 2*u. Let i(p) = -p**2 + 7*p + 1. Let h be i(o). What is t(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 87. Let l be 1 - (7 + -3)\/d. Solve l*r - 4*r = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 37 = -3*t - 5*v, 2*v = -10. Sort 7, t, 0 in descending order.\nAnswer: 7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/2, 5, 1\/70, -945.54, 0.3.\nAnswer: -945.54, -1\/2, 1\/70, 0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48.4 (b) 5.67 (c) -3\/7 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -47*n**3 + 25*n**2. Let q be u(-1). Calculate the greatest common factor of q and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160917813 to the power of 1\/2, to the nearest integer?\nAnswer: 12685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067521?\nAnswer: 7, 13, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*4\/8 + -20. Calculate the lowest common multiple of 16 + (-1 - -3) - -2 and n\/6*(-2544)\/84.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -623a (base 12) to base 9.\nAnswer: -15611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1735*d + 6 - 117*d.\nAnswer: 1618*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4432, -4424, -4404, -4366, -4304?\n\"Answer: m**3 + m - 4434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Suppose 0 = m - a*m. Let l = -5 - -2. Sort m, l, 4 in decreasing order.\nAnswer: 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*k + 60*k + 66*k + 595*k**2 - 6 - 181*k as g*k**2 + x*k + q and give g.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0498986 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -5, 2, -5.11, 17, -0.2?\nAnswer: -5.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 174456 (base 11) to base 15\nAnswer: 54c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*g + 372 + 26*g + 25*g - 114*g + 34*g to n + r*g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12825864 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 10*l - 4. Let m be j(-10). List the prime factors of (4 - (m - -11)) + (3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*s + s - 10, 3*s = 5*b - 15. Suppose 5*i - 2*i = b. Let v = 0.9 + 0.1. What is the biggest value in v, 7, i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1658 take away 9?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y - 1. Let r be g(-3). Suppose r*i - 17 = -o, 5 + 8 = o + 3*i. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 2*j - 4 - 1. Let g(a) be the first derivative of a**2\/2 - 3*a - 14. Calculate 5*d(p) - 8*g(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -7 - 3. Let q be 30\/9 + (2 - (-14)\/(-6)). What is z in -2*z**q + 1 + 4*z**c - 10\/3*z + 1\/3*z**4 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128673 - -63049809\/490. Let j = g + -48\/49. Find the common denominator of j and 97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) 0.82 (c) -4.8 (d) 3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 20893 take away 0.0383?\nAnswer: 20892.9617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 1. Let z be q(-5). Let k be (2\/(-3))\/(z\/30). Suppose k*j + 0*j = 10. Solve -j = 5*v - 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = -8*h - 3*h. Let b = 17 - 2. Solve -4*r = -r - b, w + 5*r = h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 37.5\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0248 - -0.9752. Let w = 332 - 329. Which is the biggest value? (a) w (b) -18 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8545*w - 1333008. Give p(-156).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 55 (c) 1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 41*h - 441. Does 40 divide d(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 1 - 2 + 3*g**3 + 15.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3393*i - 203. What is r(0)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -a - 0*a - h, 3*h + 3 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 19796 = -56*j. What is the greatest common divisor of j and 4141?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*o - 155*o - 184*o - 2947 = -1203 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081387 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:52 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4112 + 28782\/7. Which is the fourth biggest value? (a) 2\/11 (b) -0.5 (c) 1006 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 k when three letters picked without replacement from {k: 5, z: 1, c: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2146 by -37.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2827 + -50807\/18. Calculate the common denominator of -5\/33 and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493581, -987197, -1480813, -1974429?\nAnswer: -2468045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -13*d**7\/42 + d**6\/15 + 47*d**4\/12 + d**2\/2 - 18*d. Find the third derivative of s(t) wrt t.\nAnswer: -780*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56b097 (base 12) in base 14?\nAnswer: 281a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12688360?\nAnswer: 2, 5, 317209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2\/2 - 1113*y\/2 - 10503 = 0. What is y?\nAnswer: -18, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Put -4, m, -7, 2 in decreasing order.\nAnswer: m, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -484 + 488. Suppose 0 = -5*r - 3*q + 70, u*r - 2*q - 12 = 2*r. Solve -2*g = -r*g - 36 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*n**3 + 2 - 323*n**3 + 1534*n**3 - 341*n**3 - 330*n**3.\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11778 and 918684.\nAnswer: 918684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 p when three letters picked without replacement from gnpdlpglndpglnb?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*p**3*y + 37*p**3 with respect to y.\nAnswer: 102*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18263 - 6962. List the prime factors of o.\nAnswer: 3, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/16, -1, 2\/3, 153?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**4 - 27*s**2 + 3*s + 3. Let y(i) = 12*i**4 + 26*i**2 - 2*i - 2. Let j(r) = -2*k(r) - 3*y(r). Find the third derivative of j(u) wrt u.\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33130 - 3?\nAnswer: -33133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1340738 and 62\/441?\nAnswer: 12066642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-3))\/(10878\/588).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - (11 - 13)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 11*t + 8. Let a be y(4). Find the third derivative of 5*r**6 - 2*r**2 + 76*r - a*r**6 + r**5 - 75*r wrt r.\nAnswer: 120*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -257, -235, -191, -119?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17954.\nAnswer: 2, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 8*c + 8. Let k(h) = 5*h**2 + 41*h + 40. Let x(g) = -2*k(g) + 11*n(g). What is the remainder when x(-10) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-27)*(-1 - (-5457 + -1)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 3*b - 3*b)*(5*b + 6*b + 99*b)*(7 - 52 - 11) as z*b**2 + t*b + l and give z.\nAnswer: -6160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 9*k + 10. What is z(-5)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -14 - -11 - (-1 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*c = 5*x - 24, -3*x + 32 = -2*c. Suppose 3*k = -w + 3*w + x, -4*k + 3*w = -11. Let s = -11 - -19. Sort -5, s, k in decreasing order.\nAnswer: s, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26 and -1214?\nAnswer: -31564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*k**2 - 2*k**3 + 13*k**2 - 4 - 2674*k**4 + 3 + 2651*k**4 wrt k.\nAnswer: -552*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-8)\/16)\/(0 - -1). Let o be (-4)\/(7 + u)*-2 + -69. Calculate the lowest common multiple of -3 - o\/12 - (-1)\/3 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 = -8*l - 289 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1140448, -2280889, -3421330?\nAnswer: -4561771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.98776 meters in micrometers?\nAnswer: 49987760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7)\/5*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38377600 to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10343431 (base 6) in base 13?\nAnswer: aa9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 4*r**3 + 4*r**3)*(-15 - 21 - 35).\nAnswer: -426*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -16.1. Let v = -2 + -2. Let x = -407 + 406. What is the nearest to l in v, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 6*z**3 + z**3)*(-1 + 4 + 35).\nAnswer: -76*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1488786 = -5*k, -2*q - 332193 = 3*k - 1225462. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117850 divided by 223570?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133288?\nAnswer: 2, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 - -481. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 896 = -14*p + 905 - 1580 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*k - 176, 5*k + 65*q - 67*q - 270 = 0. What is the remainder when 143 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 95. Let p(h) = -5*h**2 - 8*h + 7. Let g be p(-3). Calculate the least common multiple of 95 and f(g).\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from fnpnrrrlpnrnpn?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2340408.962 and -18018.\nAnswer: 2322390.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmi when three letters picked without replacement from iiimiim.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-one halves of a second?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.3. Let z = 0.06 + 0.12. Let n = 0.38 - z. Which is the closest to n? (a) 0.5 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13735 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 - 1.5. Suppose 0 = -3*i + 5*d + 2 + 5, -4*i = -5*d - 6. What is the closest to i in 0.2, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 73*u**2 - 859 - 38*u**2 + 32*u**3 + 854 - 40*u**2. Let l(k) = -k**2 - 1. Give c(r) - 5*l(r).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1270 - 1258. Solve 5*b = 4*j + k, -28 = 5*j - 4*b - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2519, -5040, -7559, -10076, -12591, -15104, -17615?\n\"Answer: j**2 - 2524*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -304 - 336*t**2 + 1140987*t - 1140987*t with respect to t.\nAnswer: -672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416256817 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -153, -537, -1293, -2547, -4425, -7053, -10557?\nAnswer: -15063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2, -75, 4.74?\nAnswer: 4.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 3b7?\nAnswer: -3b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-9\/4))\/u**(3\/8) assuming u is positive.\nAnswer: u**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165001 and 35640216?\nAnswer: 35640216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3048965 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(330)*-2*1)\/sqrt(10))\/(-2*(sqrt(336) - sqrt(21))\/sqrt(7)))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7605 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 2*p - 0*p - 1, 41*s - 85*s - 2*p - 7 = -41*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59282 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 743 + -23.3903\nAnswer: 719.6097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3172\/999 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, -2\/7, 11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12259 - 7379. Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8710538091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3322 is divided by 78.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.993 - 10.5. Let k = m - -0.107. Which is the nearest to 0? (a) -2\/9 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 79. Let x be f\/((2 + 4)\/6). Solve -1 - x = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 16. Let l = -7 + i. Which is smaller: -2\/13 or l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178481 - -323009. Round f to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.101 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28992 (base 16) to base 10\nAnswer: 166290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 806 and 10113285.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50171\/14 + -3587. Let c be (-1431)\/18*(-2 - (-10)\/3). Calculate the common denominator of n and (2\/11 + 0)\/(8\/c).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrztttrtt. What is prob of picking 2 t and 1 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51596 is divided by 3834?\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 13*z + 5*u = -30, z = -2*u - 3. Suppose -n - x + 1 + 4 = 0, -z*x + 17 = 4*n. Calculate the greatest common factor of n and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.78 - 0.22. Let v = -15.2 - y. Put 0, v, 2\/5 in decreasing order.\nAnswer: 2\/5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 76 - 76 = 0. Solve h*j + j = -3*r + 12, 3*j - r = -4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 4*l)*(-3 - 2*l + 3) - 4*l**2 - 4*l**2 + 9*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d**3 - 6*d**2 - 17*d + 25. What is the units digit of o(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 - 26313*k**2 + 31*k + 26215*k**2 - 117 to the form w*k**2 + s*k + c and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s**3 - 42*s**2 - 118*s + 456882 wrt s?\nAnswer: -9*s**2 - 84*s - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4\/7, -5, -114, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 times -4.2?\nAnswer: 256.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-3)\/(-9)*-1*(-1488)\/(-3224)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/2 + 25*b**3\/6 + 16*b**2. Let l(d) = -d**2 - 1. Calculate g(w) + 25*l(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100614)\/(-6135))\/((-24)\/10)*(-60)\/(-5)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - -10 - (33 - (-26 + -9)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8817533*p**3*s**3 - p**3*s**2*t + 3*p**3*s**2 + 61*p**3*s*t - 70*p**3 - p**2*s + 2*p*s**3*t + p*s*t + 99*p*t wrt s.\nAnswer: -52905198*p**3 + 12*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31694 is divided by 737.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 167760?\nAnswer: 167760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -4, -1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616742 is divided by 616738.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - 4 - (3 + 79 + -4). Is (38 - 9)*(0 - 1 - v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129238*g**4 - 8*g**2 + 32*g + 80052?\nAnswer: 1550856*g**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 63*x + 12*x + 420 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.1 + 9.546. Let v = 0.44973 - b. Round v to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164.632 - -149.43. Let b = n - -0.302. Let s = b + 14.9000117. What is s rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 - 1523*h**4 - 801258*h**3 - 159024560*h**2 - 7178136448*h - 52296422400 = 0. What is h?\nAnswer: -488, -50, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/82562317 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 14*c - 3*c. Let p(u) = u. Give n(p(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*r + 270 = 41*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:22 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - 5.9. Let c = -2.9 - y. Round c to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58380, 58390, 58400, 58410, 58420, 58430?\nAnswer: 58440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + (-1 - (-9 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3689 - 3*q**2 + 8*q**2 - 7161 + 3*q**2 + q.\nAnswer: 8*q**2 + q - 10850","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*f**2 - f + 3*f**3 - 21*f**2 + (0*f**2 - 3*f**2 + 4*f**2)*(0*f - 2*f + 4*f).\nAnswer: 5*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 315*p**2 - 657*p - 7095. Determine c(-317).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i = 63*i + 175 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*c = 350*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50235 - 25125 - 2*r**2 - 25110.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2330*m**3*r**3 - 8*m**3 - 30236*m**2 + 3*r**3 + 228*r + 3 wrt r?\nAnswer: 6990*m**3*r**2 + 9*r**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*60.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 855608\/(-56) - 2\/7. Let v = -9348 - k. Suppose v + 3319 = -5*d. What is d rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/25 + 72\/900\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6735 + 67351\/10. Put g, -6, 1 in descending order.\nAnswer: 1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {j: 2, g: 1, a: 1, k: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 22 - (-97 + 87).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659075\/943 - 8\/(-92) is divided by 182.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -15. Let g be (-1)\/(((-10)\/(-36))\/q). Suppose 0*u - 4*y = -2*u + g, 3*y = 3*u - 39. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, 13\/2, -1, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (2 + -1) - ((-49 - -39) + 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67093 and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/((-1)\/(-15)). Let w(q) = 3*q + 1. Let g be w(3). Suppose -x = -g - 22. Solve 12 = -4*m + x, 2*a = l*m - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -896, -1787, -2676, -3563, -4448, -5331, -6212?\nAnswer: -7091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328904924?\nAnswer: 2, 582226231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93329, -93332, -93337, -93344, -93353?\n\"Answer: -y**2 - 93328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + -2*sqrt(2))**2 + sqrt(2) + sqrt(2).\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 3*z**2 - 2*z - 13. Let c(i) = -i**2 - i + 1. Let o(q) = 2*c(q) - u(q). Let n = -30 + 52. Suppose n = 3*d + 22. What is o(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 158211383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((5 - -23) + -9 + 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4423 is divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6700701 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8.9. Let m = f + -1.1. Which is the second smallest value? (a) m (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2\/3 - 7616*b\/3 - 7628 = 0?\nAnswer: -3, 1907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3661031995 to the nearest integer?\nAnswer: 60506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -25.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j. Suppose 0 = 2*b + 2*b - 8. Suppose -q**5 - 4*q**2 + j*q**5 + q**3 + 3*q**b + q**4 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1. Let v(q) be the first derivative of -3*q**4 + 19*q**2 - 4*q + 29. Let m(x) = -4*i(x) - v(x). Find the second derivative of m(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c**3 + 72*c**2 - 36*c = 0.\nAnswer: 0, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780 divided by 130.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128182284 or -128182282?\nAnswer: -128182282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1*(-353 + 324 + 20\/2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 982224 divided by -13642\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*h - 13 + 12 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**7\/189 - 7*z. Factor x(l).\nAnswer: -2*l**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 7*t + 135 = 0. Suppose 7 = -4*s + t. Suppose -2*u = 5*v - 22, 0*u - v - 109 = -s*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 15) to base 2.\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -32?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 - 108*i**4 + 436*i**3 + 1452*i**2 - 440*i - 1344 = 0?\nAnswer: -2, -1, 1, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/25 (b) -3 (c) 0 (d) 3 (e) 2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5649.472 millimeters to micrometers.\nAnswer: 5649472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2046 to the nearest 10.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 2*y + 2*y)*(1 + 5 - 4 + (-36 - 36 + 5)*(2 - 4 + 4)) as h + p*y and give p.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152678.4 rounded to the nearest 1000?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*v - 8868*v**3 + 60*v - 36*v + 65*v)*(-2*v**2 + 5*v**2 - 4*v**2).\nAnswer: 8868*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*b = 667*b + 33 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*j + 166 = 0, -i - 49 + 53 = -5*j. Let w = 4 + 14. What is the remainder when i is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3522 - -3557. Which is the nearest to 2\/5? (a) -4 (b) 6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Suppose 0 = 2*h + 36 - 40. Suppose m*y - 8380 = -5*o, y + 3*o - 2080 = -h*o. What is y rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.5 - -0.5. Let o = i - -14.0008. Round o to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - -21. Suppose 5*h - a = h. Suppose -h = -2*r + 25. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {x: 1, c: 2, l: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7650 divided by -1199?\nAnswer: 7650\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 718642247 and 5749.\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30445, -60890, -91325, -121750, -152165, -182570?\n\"Answer: 5*n**2 - 30460*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2318620744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 9*y**2 + 4*y - 13. Suppose 89*f - 86*f = 2604. Let v = -859 + f. What is t(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 239. What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 11 + -12 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27946.\nAnswer: 2, 89, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 5\/4 (c) -1.8 (d) -5\/4 (e) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971143?\nAnswer: 971143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 8*v - 9. Let q = -15 + 21. Let w be c(q). Suppose w*y + 24 = 15*y. Solve -2*m - y = k, -3*m + 4*m + 4 = -2*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29184\/11 or 2652?\nAnswer: 2652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/4, 142, 0.1, 2, 211?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4 (c) -0.5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*n + 2*g, 0 = -g - 3 + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n + 3. Let w be k(-3). Let y = w - -40. Solve c - 5*c = y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41+-6876270.34827\nAnswer: -6876229.34827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -17*p**4 - p**3\/3 + p**2\/2 + p + 19. Let l be t(1). Let f = -66 - l. Solve -g - f = 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14508*f**4 - 14582*f**4 + f + 29390*f**4 - 2 - f**3 to the form r*f**2 + m + x*f**3 + l*f + d*f**4 and give d.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 2*j**3 - 2*j**3 - 20 - 55*j**3 + 20 + (3 - 5 + 1)*(2*j**3 + 1 - 1).\nAnswer: -59*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 942918 and 11562.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18992 is divided by 512?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82054160707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/3*(-6)\/(-4). Let k(x) = -x**3 + x**2 - x + 6. Let g be k(0). What is the third derivative of p**g + p - 9*p**2 - p + m*p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1001 + 679 = -0*p. What is the greatest common divisor of p and 11655?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*3\/(-12)*(-42)\/(-21)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/3 - -2)\/1. What is the second derivative of 63*j**2 + l*j + 4*j - 73*j**2 wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 + 155 = 18*g. Suppose 2*d - 4 = -j, 2*j = -5*d - 1 + 13. What is the least common multiple of d and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 39, 62, 85, 108?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 7)*(24*z - 34*z - 30*z) + (0 - 2 - z + 3*z)*(-3 - 3 + 4).\nAnswer: 76*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 1\/3, -103, -0.1, 2\/7, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*b**2*l*r - 3*b*l*r**2 + 187*b*l*r + 4011*l*r**2 + 14*l*r wrt b.\nAnswer: 124*b*l*r - 3*l*r**2 + 187*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -9\/86, -13657?\nAnswer: -13657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + 206. List the prime factors of w.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-2)*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 21 - 27*v - 21 + 54 in the form j + x*v and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -362 - ((-5)\/(-3))\/(5\/(-15)). Let s = -285 - x. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 24992 = -37*x. Let f = x + 563. Put 4, f, 3, -2 in descending order.\nAnswer: 4, 3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131311201132 (base 4) to base 3\nAnswer: -112201100221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**3 - 7. Let m(q) = -10*q**2 + 3*q**2 - 9*q**2 + 21*q**2. Give m(j(l)).\nAnswer: 45*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -17*f - 3*f + 271 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b9 + 0?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*h - 58, -50 = -0*x + 3*x + h. Let w = 7\/312890 + -2190741\/22840970. Find the common denominator of w and x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1665348 and 10685983?\nAnswer: 128231796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/144*-2*36\/(-126)*1.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -1339, -2209, -3209, -4339, -5599?\nAnswer: -6989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.18 (c) 2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*z + 29. Suppose -v - 319 = 4*g - 3*g, z*v - g + 641 = 0. Let w = v + 702. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4430648.9 rounded to the nearest one thousand?\nAnswer: -4431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8125 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8116841 divided by 2\nAnswer: -8116841\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buuu. Give prob of sequence uu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*l - 4223 + 4225 - 24*l - 113*l.\nAnswer: -45*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0301974 to five dps.\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 25*i - 21*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -82041.9\nAnswer: 410209.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 45 = 0. Let g be ((-24)\/k)\/((-1)\/(-3)). Let x = 4 - g. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d. Let o be w(-3). Let v = o + 25. Solve -v*n + 5*n = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1504 and 480?\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 632.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7051, -7410, -7775, -8146, -8523, -8906, -9295?\nAnswer: -9690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*g + 7*g. Suppose 5*r - g*r + 9 = 0. Suppose -o = -5*j + 27, -o = -4*o - 3*j + 9. What is the nearest to -0.1 in o, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 - (-6 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**41\/((p*p**(1\/4)*p)\/(p\/p**(-4)))*(p**(-4\/9)*p\/p**(-2\/9))\/(p*p*p\/(p\/p**5)*p**(-4)*p*p) assuming p is positive.\nAnswer: p**(-3217\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6433 - 4075. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**7\/2100 + r**6\/900 - r**5\/300 - r**4\/60 - r**3\/3 - 3. Let j(t) be the third derivative of w(t). Factor j(x).\nAnswer: 2*(x - 1)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*c**3 - 22*c**2*h**3 - 2*h**3 + 819 with respect to c.\nAnswer: 129*c**2 - 44*c*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1958*f + 2609*f - 41214 = 40992 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 5.\nAnswer: -171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 27. Let r be 4\/(-38) - (-24)\/950. What is the closest to r in -0.1, -3\/2, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -186.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1425640474 to the nearest integer?\nAnswer: 37758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 819*f**2 + 52*f - 52. Let i(d) be the first derivative of 26*d**3 + 5*d**2\/2 - 5*d - 605. Determine -5*h(u) + 52*i(u).\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 391 = 399 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25 = -0*s - s, 4*t + 2*s = 6. Suppose 28 = -t*o + 12. Let h(y) = -y + 1. Give h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109682088 is divided by 2594.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 55. Let q = -25 + 13. Let l = q - z. What is the greatest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 5*z + 3*u + 20, -2*z - 4*u - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5840 and -50\/33.\nAnswer: 192720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -1. Let d(m) = -2*m + 2. Let h be d(t). Let n = h - 4. Solve 25 = 5*f, 2*y - f = y - n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (-2 + (sqrt(98) + (sqrt(98) - sqrt(98)*-3))**2)) + ((0 + sqrt(98))*-5 - sqrt(98))**2.\nAnswer: 7*sqrt(2) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**8\/336 + p**7\/630 + p**6\/180 + p**2\/2 + 3*p. Let i(y) be the first derivative of t(y). Factor i(l).\nAnswer: -l**3*(l - 1)*(3*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11042*u - 5848 = -10906*u for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3 + 1 - s + 13 + 16. Let l(r) = -2*r + 53. Let d(u) = 6*l(u) - 11*n(u). What are the prime factors of d(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 + 2761629*u**2\/4 + 476672181600*u + 13822912640000.\nAnswer: (u + 29)*(u + 1380800)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-2)*(105\/25 + -4). Let u be (-20224)\/160 - (1 - k\/5). Which is smaller: u or -126?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, -1 in increasing order.\nAnswer: -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42.277*-0.3\nAnswer: 12.6831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 379 and 4908\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)\/n*n)\/n*n*n\/(n*n\/(n*n*n**(-6)*n))*(n*n\/(n**(-14)\/n))\/(n\/n**(5\/2)) assuming n is positive.\nAnswer: n**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(-3*o**2 + 8*o**2 - o**2) + 947*o**2 + 2 - 1139*o**2 + 1678*o**2.\nAnswer: 1490*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 94402\nAnswer: 65\/94402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 16) + (-2 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7010961 to the nearest integer?\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f. Let t = 13 - 12. Sort f, t, -7 in increasing order.\nAnswer: -7, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.2. Let r = 0.4 - y. Let g be (9\/(-36))\/(1\/3). Sort g, -2, r in decreasing order.\nAnswer: r, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (5 - 3) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -815, 60, 1\/5, -2\/5, 3 in increasing order.\nAnswer: -815, -2\/5, 1\/5, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2, -1.2, 3\/17, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 14259*w + 1103872.\nAnswer: -(w - 77)*(w + 14336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884600 divided by 675?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, 133, 5 in descending order.\nAnswer: 133, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-425))\/(16\/10)*30?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1787 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2330*0.2431.\nAnswer: 566.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873 + 806 + 876 - 2555 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 52895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 16 = -2*z, -z + 4*z + 22 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.5514 plus -44662.2226?\nAnswer: -44641.6712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/5)\/(24\/(-60)). Suppose h + a - 13 = 0. What is the units digit of 3\/1*(-8 - h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1011, 0.02, -0.02 in descending order.\nAnswer: 0.02, -0.02, -1011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 5, -30*p - 145 = -39*p - 2*f for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 - q**4 + q**4)*(-553*q + 1006*q - 557*q) + 12*q**5 - 8*q**5 - 2*q**5.\nAnswer: 106*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 512833*b**2 + b - 4*b + 89074*b**2.\nAnswer: -423759*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, 2\/23, 5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 119 and -4.18.\nAnswer: 114.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List 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 0.0011253644 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 658 = 5*c, -4*c - y + 99 + 422 = 0. What are the prime factors of c?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*r - 16*r + r**5)*((5 - 2 - 1)*(-3 - 2 + 3) + 3 - 1 + 1).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/35 - 1 - (2 + -6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/3662 and -31\/18310.\nAnswer: 18310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54588 divided by 27294?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -1. Let k(x) = -x**3 + 8*x**2 - 5. What is k(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 35.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 22*m - 5. Let u = 1858 + -1836. Calculate g(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 4. Let h = -3 + 1.5. Let o = 1.1 + h. Which is the closest to -0.1? (a) q (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55895*u + 111658*u - 55844*u + 3 - 3.\nAnswer: -81*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -625, 5, -3, 3 in increasing order.\nAnswer: -625, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0537991 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -51964 greater than -51922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220050035?\nAnswer: 5, 151, 291457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34749 * 0.5\nAnswer: -17374.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 399.801 + -400. Let m = -0.001 + c. Sort m, 8\/3, 3 in descending order.\nAnswer: 3, 8\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/8 + 33339*o\/8 - 697473\/4.\nAnswer: -3*(o - 11071)*(o - 42)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2012 and -29.474.\nAnswer: 59301.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 12:11 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*c - 194264, -337*c = 3*n - 341*c - 116570. List the prime factors of n.\nAnswer: 2, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1139.18 - 1072. What is l rounded to zero decimal places?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-284 + 10)\/((-3)\/6). Let f = -541 + m. Solve 1 = 5*b - 2*p, -3*b + 8*p - 3*p - f = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 8. Let f be d(12). Suppose 4*p = -0*g + 2*g - 12, 0 = -f*p - 4*g + 12. Let r = 1286\/91 - 100\/7. Which is the nearest to p? (a) r (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110100001000 + 10001011111?\nAnswer: -100100010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -166, 151, 470, 791?\n\"Answer: p**2 + 314*p - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1452 = -309*h + 67*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 587864445.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-86 + (2 - 3))\/1. Let m = -93 - h. Let n(z) = -2*z. Let s(p) = 2*p. Calculate m*n(q) - 5*s(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 396535199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:22 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z)**(1\/10) assuming z is positive.\nAnswer: z**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2 - 1, 0 = 3*m - 4*k - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1176882\/235 + 5008. Put c, 0.04, 1\/5 in ascending order.\nAnswer: c, 0.04, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752770061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:49 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*s + 2171*s = 22940 + 72868 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 4 - (-54)\/1 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 165\/(55\/5) + -11. Solve 0 = 2*j + 3*w - 1 - 7, -t*j - 3*w + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 7. Suppose 0 = -s - 3 - 0. Let c be (4\/10)\/(((-208)\/20)\/(-4)). What is the third biggest value in a, c, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1268549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552986?\nAnswer: 2, 7, 39499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 196211769 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 1. Let b be x(-3). Let i be (-5)\/10*(3 - 1). Is 9 a factor of (11 - b\/(-2)) + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -660*j*s**4 + 2*j*s**3 + 160*j*s**2 + 1076*s**5 - 8455*s wrt s.\nAnswer: -15840*j*s + 12*j + 64560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -1\/4*v**2 + 0*v + 20 - 1\/12*v**3. Factor o(t).\nAnswer: -t*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 40, -7*h + 0*h = 32*l - 30*l - 2*h - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 35*s**2 - 6*s + 423. Determine u(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10.55 times -0.1\nAnswer: -1.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three thirds of a minute?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 15. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + 6*n**2 + 19*n**2)*(2*n - 3 + 3) - 6*n - 2*n**3 + 6*n to the form f + h*n + x*n**2 + r*n**3 and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 164881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*b - 1. Let m = 2.95 + -0.05. Let v = m + -3. What is the nearest to -0.2 in v, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f - 3. Let j be y(7). Let z be (122\/(-5))\/(j - -11). Let g = z - -436\/15. Which is bigger: g or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/120 and -151\/108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 12549.\nAnswer: 12549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -350 + -1110?\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 150966.\nAnswer: -1\/75483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468498 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, c: 3, r: 3, z: 5}. What is prob of picking 1 z and 2 y?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 1116.\nAnswer: 14508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let s be 0\/((-8)\/12*3). Let o(g) = 4*g**2 + 2*g**2 + s*g**2 + 7*g**2. Determine q(o(l)).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*q**3*t - 3*q*t - 8*t wrt q?\nAnswer: -15*q**2*t - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 + 7*j - j - 6*j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + 17. What is the greatest common factor of o and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i - j, -27*j + 35 = 5*i - 23*j. Solve 5*h - 3*l = i, 4*h - 8 = -4*l + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1419703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 944 and 1003?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -509.1083 - -0.1083. Let a = 511 + f. Let u be (1 - 3)*(-2)\/(-18). What is the nearest to -1 in a, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5741970 divided by 147230.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgvvrvr. What is prob of picking 1 r, 1 c, and 2 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1388*m**2 + 2*m. Let k(d) = -2417893*d**2 - 3485*d. Give -10455*h(l) - 6*k(l).\nAnswer: -4182*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 9:48 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 179328326?\nAnswer: 3\/179328326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134\/5 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4314 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 2. Let y(n) = -n**3 - 14*n**2 + 15*n + 4. Let a be y(-15). Determine z(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11227415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**2*t**2 - 25*s**2*t - 3*s**2 + 4*s*t**2 - 3*s - 2*t**2 + 221*t wrt s?\nAnswer: -2*t**2 - 50*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.193807ml to litres.\nAnswer: 0.000193807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50798952 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.6769kg in micrograms?\nAnswer: 109676900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.448725 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, f: 1, u: 1, j: 4, g: 1}. Give prob of picking 1 j and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -646.\nAnswer: -2\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {b: 3, l: 3, s: 1, r: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520241 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: Find the first derivative of 426 - 3260*f - 2010*f - 4617 - 3477*f wrt f.\nAnswer: -8747","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 7)*1\/(-2)*1. Let l(h) = h**3 - 2*h**2 - 16*h + 16. Let m be l(5). Calculate the greatest common divisor of q and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -90*n - 67. Let s(q) = -45*q - 33. Let l(b) = 5*s(b) - 2*y(b). Let x be l(-3). Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 = 4*a - 11, -4*m = 5*a - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2392785 (b) -10\/13 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116326*h + 42 = 116334*h - 4*g - 54, 36 = 3*h - g for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3112.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 + 2\/(-2) + -3. Solve -5*h - 10 = t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from wiiipwiwiwiwpwiwvwm?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(6 + 0))\/(-2). Let x be q + (8 - 0) + 25. Solve -5*l = -u - 16, 5*l + 2 = -2*u + x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 1. Let s(z) = -z**2 - 5*z - 11. Let x(w) = h(w) - s(w). Let d be x(-5). Suppose 224 = 5*a - 151. What is the greatest common divisor of a and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0086395 and 2542.17099.\nAnswer: 2542.1796295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1490 and 67\/6705?\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.39 - 0.01. Let v = k - -0.3. Let z = -5 - -5. Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.38209 millennia to decades.\nAnswer: 6538.209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610130 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 462 - 4*g - 330 + g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3 - 7. Let z be ((-4)\/(m\/(-3)))\/1. What is the biggest value in -2, -2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449660 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -3.1. Which is the second smallest value? (a) 20 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73.57755m?\nAnswer: 73577.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 6. Let z be 0 - (3 + -3 - 0). Let h be q(z). Solve h*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23*v**3 - 3*v**2 + 2*v. Let d be z(2). Let h = d - -360. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 11 - (0 - 0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 6*q + 9. Let x be u(-7). Suppose i + 0*i = 0. Suppose i*p = p - x. Calculate the smallest common multiple of p and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + 2. Let r be z(0). Suppose -73 - 87 = -r*x. Suppose 2*v + v - 96 = 0. What is the greatest common divisor of v and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -46. Sort 0.5, -2\/29, f, -4\/5.\nAnswer: f, -4\/5, -2\/29, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -25\/6*q**3 - 4*q - 15\/2*q**2 - 2\/3 = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 27*z - 53. List the prime factors of p(18).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-12) - (0 + (-44)\/(-120)). Let q = -0.26 + 5.26. What is the biggest value in -0.09, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1475*d + 112*d**2 - 21*d**2 - 1500*d.\nAnswer: 91*d**2 - 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241*g**4 - 421*g**4 + 222*g**4)*(2*g - 3*g + 3*g) - 41*g**5 + 26*g**5 - 56*g**5.\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*x + 1, 0 = r + 5*x - 2*x + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 5:05 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 - 2.9. Sort 2, 7\/2, o in descending order.\nAnswer: 7\/2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 317 = -87*g. Solve -5*q = -r - 24, g*q = -0*r - 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(27\/3)*((-2)\/(-8))\/(157\/(-109272))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/((v*(v**(1\/3)\/v)\/v)\/v))\/v*v))**(-12)*(v\/v**1)\/(v*v\/v**(2\/9)*v*v) assuming v is positive.\nAnswer: v**(146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-8))\/(1\/(-4)). Suppose 3*z = -u*i + 32, 4*i = z + 3 + 9. Solve r = 5*r - i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 2\/3, 2, 42.5, -9 in descending order.\nAnswer: 42.5, 2, 2\/3, -0.3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 25 = -3*l. Suppose l*s + u + 3*u - 9 = 0, 3*u = s - 17. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102400 is divided by 3529?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -94.225. Let m = b + -0.025. Let u = -2\/303 - -931\/3333. Is u equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15084, 15266, 15440, 15600, 15740?\n\"Answer: -t**3 + 2*t**2 + 183*t + 14900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from uqujuuuuuqquuuuu?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 24. What is j(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159970819 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/9, -0.2, -0.1 in decreasing order.\nAnswer: 0.4, -0.1, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*p + 5*w = 17, 24 = 2*p - 3*w. Calculate the lowest common multiple of p and 372.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b*b*b**(-2\/57)*b)\/b))\/((b\/(b*b\/(b*b**(1\/24))))\/b)*b**(1\/7)*b\/(b*b*b**(-3\/8)*b*b*b*b) assuming b is positive.\nAnswer: b**(-730\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 77*m**3 + m**2 - 11*m - 13. Calculate the least common multiple of s(3) and 6.\nAnswer: 6126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2110)*(-258)\/215. Suppose -23*x = -17*x - a. List the prime factors of x.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2 + 6*y - 1\/2*y**2. Let m be t(7). Put -2\/3, m, 1\/4 in descending order.\nAnswer: 1\/4, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 3\/5, 1\/4, -3\/5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 110010011100001011111?\nAnswer: -110010011100001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 57 - 42 + 1287 = 88*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*q = q + 5, -4*p - 2*q + 4 = 0. Let f(h) = -h**2 + 55. Let a be f(0). Let g = a + -53. Solve -g*k - 9 - p = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37900200 and 10062?\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96656470 a multiple of 2130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -907.6 and -0.4?\nAnswer: 363.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32223012110 (base 4) to base 13\nAnswer: -a48a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -410, -925, -1646, -2573?\nAnswer: -3706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/2)\/(1\/(-1))*(106\/106)\/(-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(2\/3))\/(g\/(g*g*g*g*g\/(g\/(g\/g**(1\/19)))))*g**4*(g\/g**5)\/g assuming g is positive.\nAnswer: g**(244\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 18*c**2. Let o(d) be the third derivative of -d**5\/10 - 11*d**2. Give u(o(a)).\nAnswer: 648*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14891, 59569, 134033, 238283, 372319, 536141?\n\"Answer: 14893*v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/13 (b) 2\/279 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvovvvvvvv?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from ifbikiikpkofikbfkoio?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 808783974 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 23. Let b be (-4)\/(-12)*-4*9\/f. Suppose 2*h = 3*h - b. Let g(l) = l. Let t(d) = -4*d. Determine h*g(z) + t(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2181*j**3 + 1409*j.\nAnswer: -13086*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b**2 + 6*b**5 - 2*b**2 - 7*b**5)*(221 + 180 - 81).\nAnswer: -320*b**5 + 320*b**2 - 640*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24dd59 (base 14) to base 8.\nAnswer: 4653633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -34. Suppose 3*f = -15, 0*f - 5*f = -r*b + 29. Find the first derivative of 46 + 0*l - b*l - 36 + 4*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 598, 3448, 11104, 25972, 50458, 86968?\n\"Answer: 401*y**3 - 3*y**2 + 52*y + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -538.\nAnswer: -3\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, 9, -2808, -4 in decreasing order.\nAnswer: 9, 0, -3, -4, -5, -2808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 13. Let p(y) = -1 + 0*y + 2 - 2*y. Let c be p(-5). Solve c = 5*u - q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, u: 1, v: 2}. Give prob of picking 1 t and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**7\/840 - b**6\/720 + b**4\/4 + 2*b. Let l(f) be the third derivative of i(f). List the prime factors of l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 77 = -6*d. Let m = 30 - d. Solve 3*g = -2*r - 25, -5 = r + m*g + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4093, 8045, 11859, 15535, 19073, 22473, 25735?\nAnswer: 28859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 1)*(2*u + 0*u - 3*u)*(5*u**3 - 3*u**3 - 3*u**3) + (u - 4*u - 2*u)*(3*u**3 - 5*u**3 + 3*u**3).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7\/(-14)*-1924 - (-45)\/(-15) is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from {g: 6, l: 3, h: 6, n: 1, f: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3571 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 - 4 - (5 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 46 - 40)*(-3 + 1 + 4)*(-3 - 1 + 2)*(3*z**2 - 2*z**3 - 3*z**2) to n*z**2 + h + d*z**3 + w*z and give d.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 - 501416?\nAnswer: -501263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/85 + (-1625502)\/(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3015472 rounded to the nearest ten thousand?\nAnswer: 3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -4*f - 3*l + 24, f - 5*l = -45. Let v = -8.2 + 4.2. What is the nearest to f in v, -2, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b0 (base 12) to base 11\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1179131*x + 1619168 wrt x.\nAnswer: 1179131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198870.\nAnswer: 2, 5, 101, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**6\/255 + 3*i**5\/170 + i**4\/51 - 26*i. Factor p(x).\nAnswer: 2*x**2*(x + 1)*(x + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54980, -54937, -54832, -54635, -54316?\nAnswer: -53845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2088 and 3972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302923 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 3*j**6\/40 - j**4\/4 - j**2 - 9. Let l(a) be the second derivative of z(a). What is the second derivative of l(f) wrt f?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*z = -97*z - 82*z + 348 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 0.06 (c) 10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 + 9*z + 3. Let s be a(-1). Solve s = -t - l + 3, -t + l + 7 = 4*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:28 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*4*((sqrt(84) + 4*-3*sqrt(84) - sqrt(84)) + sqrt(84)))\/((1*sqrt(96)*-1)\/(sqrt(1200)\/sqrt(6))))**2.\nAnswer: 1355200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = -20, w + 4 = 5*f. Suppose c = f, 3*c - 5*c = -z + 27. Which is smaller: 28 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((238\/255)\/14)\/(42\/(-420))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -360*d**5 - 25*d**2 - 4*d?\nAnswer: -21600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2\/9, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 2\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*v = -5, 158*a - 157*a + 3*v = -20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 29, 51, 85, 137, 213, 319?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 5*t**2 + 3*t + 5. Suppose 6 = m - 2*l + 17, l = 3*m + 38. Let z = m + 8. Let i(s) = -6*s**3 - 14*s**2 + 8*s + 14. What is z*i(o) + 14*k(o)?\nAnswer: 2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 14. Let n be 128\/6*(-7 - -14 - b). Let f = n + 98. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:20 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 180 - 4*d - 164.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m**(-6)*(m**(-2\/5)\/m)\/m**(4\/7) assuming m is positive.\nAnswer: m**(-349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -102, -144, -184, -222?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6786661 to the power of 1\/2, to the nearest integer?\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((sqrt(77)\/sqrt(63) - (1 + sqrt(891)))**2 - (3 + sqrt(1100))**2).\nAnswer: 256*sqrt(11) + 5066\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 15*g**2 + 14*g + 12. Give n(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 + 5*x**3 - x**3 + (2 + 1 + 1)*(421*x**3 + 141 - 141).\nAnswer: 1682*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 8. Let o(y) = y - 1. Let i(d) = a(d) - 4*o(d). Let f(h) = -1. Let m(s) = -4*f(s) + i(s). Let j(x) = -x. What is j(m(v))?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 972320505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519.2 times 5?\nAnswer: 12596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20120454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262185 is divided by 315342?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f. Let d(z) = -8*z**2 + 25*z. What is d(j) + 6*i(j)?\nAnswer: -2*j**2 + 31*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:24 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 337\/1476 + -1\/164. What is the common denominator of z and -76\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:41 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 177*x + 186*x = 55077, -x + 91697 = 5*t. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54448685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soo when three letters picked without replacement from {s: 3, o: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136680?\nAnswer: 2, 3, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: a4 (base 11) to base 12\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/84)\/(((-17)\/(119\/6))\/(-4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236198117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*h - 252. Let z = -34 + h. Solve -5*y + 7 = -4*b - z*y, 3*b = -3*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 10:37 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 4*q + q)*(-q + 0*q + 0*q) + 55*q - 473*q - 214*q**2 + 212*q**2 - 11*q**2 - 30*q**2 + 2*q**2 as v + h*q + t*q**2 and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - 3) + 3 - (-1094 - -1058)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -2. Suppose -3*b - 14*b + b = 0. Suppose b = 3*g - y + 7. Solve 2*d - g*d + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2481 + -2484. Let c(j) = 3*j - 5. Let s be c(2). Sort 134, h, s.\nAnswer: h, s, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -199, -297, -395, -493?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 - 44*d**4 - 60*d**3 + 380*d**2 + 64*d - 336 = 0. What is d?\nAnswer: -7, -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17858.4556 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92.399 - -0.399. Which is the biggest value? (a) 0 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 140667.8 centimeters?\nAnswer: 1406678000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*r**2 + 207*r**2 + 1768*r**2)*(3*r**2 + 0*r - 4*r**2 + 0*r - 8*r**2) to the form u*r + q + n*r**4 + c*r**2 + p*r**3 and give n.\nAnswer: -17244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5566828.\nAnswer: 2, 23, 60509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40373 and -14.712?\nAnswer: 593967.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*y + 21*y + 74*y - 20743*y**2.\nAnswer: -20743*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/((-616)\/(-12)))\/(3\/1607). Let b = c - 114\/11. Is b at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21926231334643 - 2576814558925257787\/117522. Let m = -1\/13058 + t. Let o = 131 + m. Which is the third smallest value? (a) 3\/4 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99440 divided by 904.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 13*t - 24. What is a(17)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*x - 341 = 0, -8*x = -4*m - 4*x + 292. Let c = -48 + m. Suppose -n - 4*n - 27 = -2*w, 5*n - 5 = 0. What is the least common multiple of c and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 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: Calculate the common denominator of -13\/8 and (2\/(-12))\/(-1*(-12)\/(-28)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 16) to base 8\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 8 (c) 61\/5 (d) 0.3 (e) -1 (f) 157\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.1628t in micrograms?\nAnswer: 386162800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73585618853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7 + 5. List the prime factors of h\/10 + 83\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5045 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61962 divided by -449.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*w - 22, 6*n - 57158*w = -57160*w - 52 - 22 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/4 - 5*t**3\/3 + 2*t**2 + 2*t + 1. Let i be 4 + (-1 - -1)\/(-2). Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*p**2 - 302*p**2 + 168*p**2.\nAnswer: -517*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 3*s)*(-s**2 - 3*s**2 + 3*s**2) - 16810*s**2 + 16810*s**2 - 302*s**3.\nAnswer: -301*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m - 5*w + 500 = 0, 5*w = 2*m - 235. Calculate the remainder when 2 + 1 - (6 - m) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174037 is divided by 184.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q**(2\/9)*q)\/(q**(-8)\/q**(7\/5))*(q**(-2\/3))**(-14)*(q**2\/q)**(-13) assuming q is positive.\nAnswer: q**(2101\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 16\/(-3))*(-18)\/(-6). Suppose -5*i = -5*w + 10, -i - a = -4*w + 7. Solve -4*u - w = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*a + 7. Let w(v) = -v**2 + 2*v + 3. Let o be w(3). Solve o = -a*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + 33. Suppose -g*m = -63*m + 3. Let p = -49 - -26. Sort p, 2, m in decreasing order.\nAnswer: 2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984984933?\nAnswer: 3, 757, 433723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, x: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxdv when four letters picked without replacement from {v: 1, u: 4, x: 3, m: 1, d: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9429418 to the nearest integer?\nAnswer: 3071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = 5*j - 1, j = -4*h + 1. Let i be 0 - -8 - (-2 - h). Let y = i - 6. Solve -5*x - 2*q - 25 = 0, -3 + 1 = y*x - 2*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 2*s**5 - s**5 + (2*s + s - s)*(-3*s**4 + 3*s**4 + 2*s**4) + 3507*s**5 - 17*s**3 + 112*s**5 - 3*s**2 + 3*s**2 + 17*s**3.\nAnswer: 3624*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/4)*k)\/k*k)\/(k*k**(1\/11))*(k*k**(-2))\/(k**0\/k) assuming k is positive.\nAnswer: k**(29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 3*z + 2*z**3 + 5*z**3 - 1 + 2*z + 3*z**2 as o*z + h*z**2 + q + s*z**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -497840.02553 and 0.122.\nAnswer: -497839.90353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + 6*c**2 + 5*c + (4 + 2*c - 4)*(3*c + 9*c - 3*c) - 2*c**2 + 92 - 92.\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 2*b + 38 = 21*l, -53*l + 55*l = -15*b - 143 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 59.00546 grams?\nAnswer: 0.00005900546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 - -7) - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 11 + 29 + 226*j**2 + 227*j**2 - 461*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*j**2*l*r + 23*j**2*l + 2*j**2*r**2 + 2*j**2 - 5*j*l*r**2 - 2*j*l - 733*j*r**2 + j wrt j.\nAnswer: 152*l*r + 46*l + 4*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0, -0.04, 10, 4\/7 in decreasing order.\nAnswer: 10, 4, 4\/7, 0, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = -5*m + 2*f + 208, -5*f - 13 = -148 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 25) + 60 + 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -68895300 to the nearest one hundred thousand.\nAnswer: -68900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*p + 42*p - 7*p = 7423 - 1933 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/227120 and 131\/4996640.\nAnswer: 4996640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by (-1)\/(29\/(-4) - -7) + 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 29*l - 14 - 1 - 31*l. Suppose -v - v = 22. Let z be k(v). Calculate the greatest common factor of z and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18\/1577?\nAnswer: 18\/1577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35736*o**3*t*z - 2*o**3 - 3531*t - 4 wrt z?\nAnswer: -35736*o**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9104304597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109172 and 6284074?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 37*z**2 - 72*z + 75. Let u be x(35). Solve 0 = -2*p - 3*j - 1, -j = -4*p - 4*j - u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*u**5 - 1259402*u**2 + 1061*u + 41478 wrt u.\nAnswer: 680*u**3 - 2518804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 2. Let z be (-1)\/(-1) - (-5 - 0). Let v be w(z). Let r(b) = -b**3 - 2*b**2 - 2*b - 2. What are the prime factors of r(v)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3 + (0 + 2 + 0)*(1 + 2 - 1))*(4 - g - 15 + 7) - 116*g + 161*g - 147*g to the form f + a*g and give a.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b**3 - 23*b**2 - 14*b + 104. What is u(-6)?\nAnswer: -2368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = -62*y + 470. Solve 0 = 5*k - y*q + 25, 0 = -k - 4*q + 3 + 17 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvyyvyyvy. Give prob of picking 1 y and 2 v.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1672648150 divided by -5\nAnswer: 334529630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18126 + 21367. Is c a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 - (3 + 3 + -3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3787990453467*r**2\/7 + 6742098*r\/7 - 3\/7 = 0?\nAnswer: 1\/1123683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 + 3. Let y be b(6). Let a be -1 + (5\/(-1))\/(-5). Solve a = -y*o - 3 + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(302\/27 + -6). Let y = m - -16. Factor -y*r - 2\/9*r**2 - 2\/9.\nAnswer: -2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -27. Suppose -160 = -b*s + s. What is the highest common factor of 30 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 7:03 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -1.6. Which is the nearest to -2? (a) -1 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/((800\/(-400))\/((-10)\/1))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 4. Let r be (-6)\/15 + 14\/10. Let x be r - 1*(0 + -2). Suppose 5 = -x*d - 7. Let o(v) = -v**2 + 3. Calculate d*o(n) - 3*f(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-296)\/(-9) + 13\/117. Let b = s + -31. What is the greatest common factor of b and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/9 + 4*y**4\/9 + 2*y**3 - 28*y**2\/9 - 40*y\/9 + 16\/3 = 0. What is y?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 5, v: 1, b: 10}. Give prob of picking 1 v, 1 x, and 2 r.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -2\/3591?\nAnswer: -2\/3591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -418 less than or equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g**3)*(2 + 3 - 4) - 3*g**3 - g**3 + 2*g**3 + 0*g**3 + 2*g**3 + 0*g**3 - 3*g**3 + 3*g**3 - g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**3 - 14*q**2 + 14*q - 3. Let c(y) = 6*y**3 - 9*y**2 + 9*y - 2. What is -8*c(u) + 5*i(u)?\nAnswer: -3*u**3 + 2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -583\/9. What is the common denominator of -15\/11 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 57.3 (b) -20 (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1014\/(-4)*15204\/(-126)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15))\/(4\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -43. What is the second derivative of 17*c + 3*c**3 + c**3 - 11*c**3 + 10*c**r wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 148761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8914920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184110888 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4853315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 544646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(-5\/4)\/k)\/(k*k*k*k**(-5\/4)*k*k))**25 assuming k is positive.\nAnswer: k**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 - -106. Let o(i) = i**4 + 9*i**3 + 33*i**2 + 41*i + 16. Let k(m) = -m**4 - 9*m**3 - 34*m**2 - 42*m - 16. Let s(y) = l*k(y) - 6*o(y). Factor s(r).\nAnswer: -(r + 1)*(r + 2)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275075477.\nAnswer: 11287, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 6*l**2 + 25*l + 20. Let j be p(9). Let m(q) be the first derivative of 0*q - 5 - 2\/3*q**3 + 0*q**j. Let b(v) = -5*v**2. Give m(b(h)).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let o be (-1)\/(((-6)\/36886)\/3). Suppose -4*i = g + 707996, 549435 - o = -t*i - 2*g. What is i rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 5 = 0. Which is the smallest value? (a) m (b) -2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * -0.4.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*z + 5010 + 632 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 6, o: 7, e: 1, x: 2}. What is prob of sequence en?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-18)\/(-1 - 2). Let y be 158\/6 - 4\/x. Suppose 2*r + 5*d + y = 0, -r + 0*r = 4*d + 21. Sort -5, r, 2.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 4. Let f be t(3). Let h = -10 + f. What is the closest to 0.1 in h, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 250, 29, 127, -5, 3, -4 in descending order.\nAnswer: 250, 127, 29, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 plus 7?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1.1, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5228.\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 + 2*t**4\/3 - t**2\/2 - 3*t. Is d(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 1010.\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(171) + -2))**2 + 1 - ((sqrt(171)*1 + -5)**2 - (-6*(sqrt(171)*-3 + sqrt(171)))**2).\nAnswer: -258*sqrt(19) + 28629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203926381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 - 2*j**3 + 8*j**3 - 2*j**3 + 0*j**3 - 2*j**3 + (-j**2 + 0*j**2 - 2*j**2)*(-j + 0 + 0).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - 2*b + 3. Let j(t) = -t**2 - 14*t - 8. Let o be j(-13). Is w(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13324868 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-384)\/(-288))\/(-34*(-2)\/(-6)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*o - 35 = 0, -3*o = 3*l + 2*o - 15. Let a(u) = 4 + 6*u**2 - 4*u**3 - 3*u + 3*u**3 + 6*u. What is the smallest common multiple of a(6) and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**16\/z*z*z*z)\/z*z)\/z)\/z)\/(z\/z**(2\/5)*z*z)*z*z**(-16)*z**(3\/8) assuming z is positive.\nAnswer: z**(-49\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/26 + 258\/13. Suppose -p = 3*p + q. Which is smaller: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i - 11*i + 51 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7399 - 7388. Calculate the remainder when 944 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1370.69975924 + -1370.7. Round f to six dps.\nAnswer: -0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 4. Calculate o(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 1 - (-2 + -25). Let r = 37 + f. Let z(t) = -t**3 + 11*t**2 - t + 27. Let x be z(11). What is the greatest common divisor of x and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93110706*-3.\nAnswer: 279332118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 36*h + 2. Let u be l(-7). Let i = u - -1085\/4. Find the common denominator of i and -107\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 845 - 908 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 94*d**2 + 23*d - 70. Suppose -q + 1 = -17. Let a be c(q). What is a rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 607 - 552. List the prime factors of w.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*t**2 + t - t - 113*t**2 - 110*t**2 - 102*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y + 71. Let m be s(-6). Solve 1 = 3*t - m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 15. Let q be w(-5). Let p(f) = -4*f + 23. Let n be p(q). Suppose -2*m - 2 = 4*l + 6, -4*m + 5*l = -n. Let v(r) = r**2 - r. Determine v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 11\/(55\/20). Solve 0 = -6*l + b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8410722 divided by 6.\nAnswer: -1401787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 29) + ((-6 - (-9 + -2)) + -2 - -23).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.402629 weeks to microseconds.\nAnswer: 2662710019200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62726 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**1)\/r)\/(r**(-3\/4)\/r))\/((r*r**(-2\/5))\/(r**(-5)*r)))\/((r**(-2\/11)\/r**(1\/3))\/(r\/r**(-1\/4))**(-1\/26)) assuming r is positive.\nAnswer: r**(-58051\/17160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from uuzauauaz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 + 7362?\nAnswer: 7572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4614))\/(12\/(-38414)). Let h = -1\/769 - q. Let s = 52\/957 + 52753\/9570. Calculate the common denominator of h and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 - 9.5. What is the fourth biggest value in 2, -6, h, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7254090601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/2))\/l**(-5\/2)*(l*l*l**(1\/4)\/l)\/(l\/l**(-6)*l) assuming l is positive.\nAnswer: l**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - 6*n**4 + 4*n**4)*(12 - 4 + 13).\nAnswer: 42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119893*f**3 - 119895*f**3 + 239782*f**3 + 2.\nAnswer: -6*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1529843\/102 + 14999. Calculate the common denominator of 16\/8 + -3 + (-98)\/16 and t.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and 688.\nAnswer: 687.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851229 to the power of 1\/2, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 1291*f - 77677. What is y(358)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*d + 36, 2*d - 5*y + 13303 - 13267 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5\/21 + 1006*f**4\/21 - 3664*f**3\/3 - 3808*f**2\/3 = 0?\nAnswer: -1, 0, 28, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 14*c**2 + 3*c + 21. Let o be f(-14). Let v = -15 - o. Suppose 0 = -v*j + 11*j - 140. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139 * 3.\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2807.8 times 131\nAnswer: -367821.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Let c = -112 - -117. Calculate the remainder when c is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**3 + 4*d + 7. Let a = -2360 + 2365. Let f(w) = 16*w**3 - 6*w - 10. Determine a*f(o) + 7*g(o).\nAnswer: 3*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 101. Let x be -2*(2 + -3) + 3 + 2. Let k(v) = v**2 - v - 8. Calculate the remainder when p is divided by k(x).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 96\/(-168) - (16881\/(-7) + -3). Calculate the greatest common factor of 136 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 2*r - 1. Let h = 5 + -4. Let y be k(h). Suppose y = -5*n + 70. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 2. Let g(j) = -j**3 + 6*j - 6. Let r(q) = 4*g(q) - 9*u(q). Let x(a) = -7*a**3 - 5*a - 11. Give 5*r(o) - 3*x(o).\nAnswer: o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*a**5*d*z - 5*a**3*d*z + 10*a*z - 3*a + 2*d*z - 3*d wrt a.\nAnswer: 720*a**3*d*z - 30*a*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 140\/25 - (-8)\/20. What is the third derivative of -11*w**4 - p*w**2 + 16*w**4 + 3*w**2 wrt w?\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let u(z) = 3*z**2 - 4*z - 4. Let x(o) = -3*o**2 + 0 + 1 + 2 + 3*o. Let c(k) = 3*u(k) + 4*x(k). Determine c(t(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 3. Let o = t - 0. Suppose -m = 2 - 1. Put -2, o, m in descending order.\nAnswer: m, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:21 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*14\/(-2268))\/((-3)\/198).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*80\/8. Solve -i - 3*s = -0*s + 4, -a*s = -2*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and 15910506619.\nAnswer: 15910506645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34713 + 34860. Let b(h) = h**3 - h - 3. Let m(c) = c**2 - 5*c + 3. Let i be m(5). Let f be b(i). What is the greatest common factor of f and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 4*n + 1 - 49, -4*k + 3*n - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261604 is divided by 206?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 - 2*p - 3. Let a be k(-4). Suppose 0 = a*w - 8 - 2. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57800260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1)*(12 - 6)\/6. Which is the third biggest value? (a) -0.6 (b) 0.3 (c) g (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**2 - 19. Let t(w) = 6*w**2. What is a(t(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16922427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = -4. Let w be 14\/r*6\/7. Let i = -6 - w. Solve -3*m - 2*l - 8 = i, 23 = -5*m + 5*l - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from cvceeeecpgveqgcqvge?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o, 3*o - 8 = 5*w - 26. Suppose 163 = 2*n + w*f, -3*f + 245 = 3*n + f. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 11 - -5) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**3\/6 - b**2. Let m(v) = -v - 1. Suppose 0 = -38*r + 38811 - 38925. Give r*m(g) - n(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 285 - 260 = -3*a, 3*b = -2*a + 15. What is the third smallest value in b, 0, 10, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 420185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose -k = 4*q + 5. Let s(h) = h**3 + 2*h**2 + 2*h - 2. Let n(t) = -t**3 + 1. Calculate q*n(d) - s(d).\nAnswer: d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*z + 119. Suppose 0 = 4*k + b + 4*b - z, 4*b + 72 = 2*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 18. Let s be n(-14). Let h = s + 9. Solve h = 3*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.71 + 6.51. Let h = 2.8 + -3. Let b = h - 0.2. Put -4\/5, b, m in decreasing order.\nAnswer: m, b, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**5 + 61*n**4 + 1757*n?\nAnswer: -80*n**3 + 732*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tteteet.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1587 + 25427\/16. Calculate the common denominator of a and (-3 - (-24)\/27)*3150\/420.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-8 - -9) - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4833282 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 20. Let k = x - 9. Which is the nearest to k? (a) 4 (b) 2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 3, k: 3, v: 3, b: 2, d: 4}. Give prob of picking 2 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -6*q - 20, -5*p + 4*q = -24. Suppose 11*k + p - 228 = 0. What is the remainder when k is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmg when three letters picked without replacement from {z: 1, m: 1, v: 2, g: 1, d: 1, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350604*g**3 - 350619*g**3 + 2*g**2 - 2*g**2.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:52 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4276, -4204, -4132, -4060, -3988?\n\"Answer: 72*m - 4348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n. Suppose -15 = s - 4*u, 0 = s + 4*s - u + 18. Let w(t) = t. Let f(i) = s*h(i) + 16*w(i). Let x(p) = -6*p. Calculate f(x(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 2788*d**2 + 2791*d - 5578.\nAnswer: -(d - 2789)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 22*c + 4*i + 4 = 0, -3 = 4*c + 5*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 33*v**2 + 69*v + 345. Calculate z(-32).\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.063976 to 2 decimal places.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4914 by -39.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:25 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002120277 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037929 to seven decimal places.\nAnswer: 0.0000379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-12)*(-34)\/3 - -3. Let y be 330\/4*24\/p. Calculate the greatest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 + 82*i + 30. Let g be k(-25). Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107021132?\nAnswer: 2, 3, 7, 83, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i**2 - 15*i**2 + 3*i**2)*(0*i - 5*i + 0*i + (0 - 1 - 1)*(-3 + 3 - 2*i) + 2 - 2*i - 2) to the form z*i + c*i**3 + x + o*i**2 and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyyyykykyyviyvvy. Give prob of picking 2 k and 1 y.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.5. Let v = -111.7 - -111.7. What is the closest to v in -0.07, h, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-8))\/((-1)\/2). Suppose 0 = 6*y - m*y - 1479. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2)\/6*5. Let n(j) = 4*j**3 + 26*j**2 - 5*j + 6. Let w(u) = 5*u**3 + 27*u**2 - 6*u + 6. Let v(g) = l*w(g) + 6*n(g). List the prime factors of v(21).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b2218 (base 13) in base 2?\nAnswer: 1001101110111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 11*b - 1992. Is 45 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.49 - 0.32. Let c = -0.03 - l. What is the nearest to -0.1 in 4, c, 3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 + 2920*y + 532900 = 0. Calculate y.\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3884 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 81877.66 years?\nAnswer: 818.7766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*8\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 35*z = -123. What is the remainder when z is divided by 65\/3 + 6\/(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppeppppe. What is prob of sequence ee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 18. Let q = -47 + 82. Let m = -31 + q. What is the remainder when b is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -395*d - 2117. Let f be a(-6). Suppose o + 19 = 42. Calculate the greatest common factor of f and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(6\/7)\/((j\/(j*j*j\/(j\/j**1)))\/(j\/(j*j\/(j**15\/j)))) assuming j is positive.\nAnswer: j**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*-1)\/(56\/(-252)). Suppose 10*w - 1839 = k*w + 2*n, 3*n = 12. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 12*t - 42. Let x(u) = 10*u**2 + 64*u + 224. Let v(r) = 16*q(r) + 3*x(r). Let b(z) = 832*z + 1. Determine v(b(d)).\nAnswer: -1384448*d**2 - 3328*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnnxxxn. Give prob of sequence xn.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 - 3*d - 3. Let t be q(8). Let s = t - -218. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207276961.\nAnswer: 79, 2623759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3*(140\/40 - -3)\/(1*-2) and (-4)\/4 + (-7)\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 2*a - 8. Let r be z(-6). Suppose r*m = 1896 + 19720. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 72. Solve 11 = -b*p - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i)\/i)\/i**(2\/19)*i**(1\/4)\/(((i\/(i*i**7))\/i)\/i)*(i**(-1))**(-7)*i**(-1)*i*(i*i**(3\/2))\/i assuming i is positive.\nAnswer: i**(1645\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 60. Suppose 4*z - 7 - a = 0. Solve -z*k = -k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(35)\/((sqrt(10) + sqrt(20)\/sqrt(2))\/sqrt(2)))**2 + -1 - (sqrt(441)*2)\/(-2*sqrt(175))).\nAnswer: 3 + 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94307160 by -4.\nAnswer: -23576790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuub. What is prob of picking 3 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72894180?\nAnswer: 2, 3, 5, 47, 25849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 10:50 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, k: 10, q: 6}. Give prob of sequence pqqp.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.0788374 weeks?\nAnswer: 794.680992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 332*l**2 + 3*l + 2. Is y(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*k**4 + 278*k**3 - 142*k**3 - k - 125*k**3 as n + f*k + j*k**3 + u*k**4 + c*k**2 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/260 and (-1 + 89\/15)\/(1716\/117).\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863*z = -1030*z + 5845. Solve 9*g - z = 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -41, 58, 363, 970, 1975?\nAnswer: 3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24196 = 2*z - 24244. What is the smallest common multiple of z and 2478?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -8.398124?\nAnswer: -10.398124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101005288 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2 + -9)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5762, 11529, 17296?\n\"Answer: 5767*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72211 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.86 * -0.0908753\nAnswer: 0.078152758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 160578.1 and 0.3.\nAnswer: 48173.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109299 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 305 and 15.\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:07 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26274 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m - 10*o + 68 = 0, 4*m + 47*o - 14 = 45*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(3680\/(-15))*(-55800)\/4185.\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -18. Let f be -1 + c\/3 + -4. Are -2 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2194 and 1469673937?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-12 + (-5174)\/(-199) + -3*(-12)\/(-4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p\/(p*p**5*p)))\/p)*p)\/p**1)**(3\/22) assuming p is positive.\nAnswer: p**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 356569133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 341*y - 2785. Determine d(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 38. Let o be (-2)\/6 - (-8)\/6. Sort h, 5, o in descending order.\nAnswer: 5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*w - 31*w - 67*w - 1265 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -85*m**4\/24 - 16*m**3 - 4*m**2 + 13*m. Differentiate p(d) with respect to d.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 357*z - 29978. Calculate g(137).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -500*w - 1695*w**2 + 224*w - 521*w - 140 - 183*w. Let j(h) = 242*h**2 + 140*h + 20. Let f(a) = 20*j(a) + 3*l(a). Factor f(s).\nAnswer: -5*(7*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9552\/7164*159\/(-4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 918?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n. Let v be i(2). Suppose -3*x + 8 + v = 0. Suppose -3*z - 10 = -2*c, 2*c - 5 = x*z + 7. Sort c, 0, 0.5.\nAnswer: 0, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -24, 359, 892?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5 + (-2 + 2 + 2)*(2 + 5 - 1) - 4 + 5 + 1)*(-474*g + 767*g - 446*g) - 2*g + 41*g - 26*g.\nAnswer: -2435*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.1 + -30.9. Let o = -2.2 + x. Let s = 5\/2 - 29\/10. Is s less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42025 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (1 - 1)) + (9 - (12 - 5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -82. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200633, -19, 3, 1\/2 in ascending order.\nAnswer: -200633, -19, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5363 (base 7) to base 10.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3424*l - 40043 + 40043.\nAnswer: -3424*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9141, 9204, 9265, 9324, 9381, 9436?\nAnswer: 9489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191574 and 16762.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 70413.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/92 and -99\/24334?\nAnswer: 48668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**4 + 0*p**4 + 2*p**4)*(3*p - 3*p + 2*p) - 178 + 178 + 40*p**5 + (4*p**4 - 3*p**4 - 4*p**4)*(-p + 2*p - 2*p).\nAnswer: 39*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 61*d + 1747. What is the remainder when i(-26) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12841.\nAnswer: 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 102*n**2 + 691*n + 724. What is g(-57)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b624a (base 14) to base 12.\nAnswer: -19240a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 20. Let i(r) = r**3 + 11*r**2 - 11*r + 13. Let m be i(h). Let u be -47*(0\/m - 1). What is u rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -1\/3*p**3 + 0*p + 1 - 1\/2*p**4 + 0*p**2. Find the third derivative of b(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 + 8*k - 10. Let w(r) = -r**3 + 3*r**2 + r + 1. Let p = 38 - -22. Let j be (8\/(-6) - -2)\/(20\/p). Let i be w(j). Determine n(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let y(a) = -3*a - 3. Suppose 10 = i - 2*k, -6*k - 21 = -3*i - 3*k. Calculate i*g(v) + y(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 - (47 + -44)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084631 rounded to six decimal places?\nAnswer: -0.000846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 20*x = -8, 5*x + 20 = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22628406, 45256807, 67885222, 90513657, 113142118, 135770611?\n\"Answer: o**3 + o**2 + 22628391*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3231 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -4*k**5\/15 + 7*k**3\/3 - k**2 - 4. Let l(m) be the second derivative of o(m). Differentiate l(v) with respect to v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, v: 2}. Give prob of picking 2 y.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*u + 2913*u - 15095 = 110890 - 17625 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1083803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siwlbsssiwih. Give prob of sequence bw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.671 + 4.329. Which is the nearest to 0? (a) q (b) -6 (c) 3\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + k - k - 4*k - 173*k**3 + 4*k.\nAnswer: -173*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -173? (a) -5 (b) 0.3 (c) -3 (d) -6.77 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0, -1.288, 0.1, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-60)\/70?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4261, 3 in decreasing order.\nAnswer: 5, 3, -4261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1.5. Let s = -7.7 - -7.8. What is the closest to -1 in -3, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*n - 132. Let w = -29 - -38. Suppose -4*p - 118 = -3*r, -3*p - w = r - n. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1.5. Let p = -1.1 + g. What is the closest to -1 in -0.3, -0.03, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 4*x**2 - 2*x**2 - 4*x**3 + 3*x**3 + 7*x in the form g + s*x**3 + j*x**2 + b*x and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4 + 38366*x**3 - 153488*x**2 + 153496*x = 0?\nAnswer: -19187, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48727, 46872, 45017, 43162, 41307, 39452?\nAnswer: 37597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/786 and -75\/2096?\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 11*o + 6. Let a be k(-10). Solve -u + a = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130447\/537577 - 102\/419. What is the nearest to 3 in 1, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1910203 divided by -14.\nAnswer: -1910203\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Let k be (p + 4)\/(1\/9). Suppose -35 - k = -2*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51040\/100)\/22*175\/70\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + i**2 + 4*i - 4. Let j be f(3). Let w = 25 - 14. What is the highest common factor of j and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267849 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*n = -5, 5*a - 4*n = -n + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 9. Let r be k(9). Let o(s) = s + r*s + 3*s - 3*s. Let m(d) = -d. What is m(o(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 4*c + 6. Let k(x) = -3*x**2 + 3*x + 5. Give -6*k(f) + 5*p(f).\nAnswer: 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/2*8\/(-6). Let o be (-57)\/95 - 206\/m. Solve y - o = 6*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s - 2*s = 0. Suppose 3*k - 858 - 387 = s. What are the prime factors of k?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3019349 at most as big as -3019753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 113. Let f be ((-3)\/(-2))\/(4\/8). Suppose w = 0, -f*h + 0*h + 4*w = -54. What is the highest common divisor of l and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/4 + 15*s**2\/2 + 48*s - 128 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3 + 78*h**2 - 10574*h - 30920199 wrt h.\nAnswer: 3*h**2 + 156*h - 10574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/7 (b) -0.3 (c) 4\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73*0.17.\nAnswer: 12.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2331\/14)\/(-7*1 + (-990)\/(-132)) is divided by 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m - 11. Let f be h(3). Let u be (f\/(-20) - 3)\/2. What is the closest to 2\/15 in u, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300)\/sqrt(6) + 3 - ((sqrt(16) - sqrt(144))\/sqrt(8) + sqrt(24)\/sqrt(192)).\nAnswer: 3 + 27*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18\/37, -1 in ascending order.\nAnswer: -1, 18\/37, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - (-618)\/42. Is (890\/i)\/(4\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/20 - 5*s**4\/12 + s**3\/3 + 6*s**2 + 34*s. Let l be b(-5). Factor -106 + 60*n**l + 192*n - 77 - 113 + 40 + 4*n**3.\nAnswer: 4*(n - 1)*(n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 smaller than 234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 400753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -78, -173, -306, -477, -686?\n\"Answer: -19*d**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279625 is divided by 2614.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -15, -457, 2\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 18. Suppose -3*o + p*o = -24. Let q(g) be the third derivative of -g**6\/120 - 2*g**5\/15 - 5*g**3\/6 + 2*g**2. Determine q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/280 and 13\/350?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278281 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -25138.\nAnswer: -1\/25138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:20 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9971 - -9972.0884. Round o to 2 decimal places.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.008 and -18985.6.\nAnswer: -151.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*h*q**3 + h*q**2 + 103*h*q - 21*h - 7*q**3 + 20*q**2 + 37*q wrt q?\nAnswer: -144*h*q + 2*h - 42*q + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/45*(-54)\/36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 746 and -0.049.\nAnswer: 745.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 12. Solve r + 13 = -3*y - d, -17 = 3*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 5 - -138*4\/(-36)*-3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + 1)\/((1 - 6) + 4). Suppose -t = 5*q - 9, -t = -2*t - 4*q + 6. Let k = t - f. Solve -h = 2*v + k, h - 10 = v + 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 + 7 - 5*u**2 + u**3 + 3*u**3. Let o be c(-5). Suppose -2*a + o*a - 10 = 0. Is 0 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204314.\nAnswer: 2, 3, 17, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*s**2 + 120*s**2 - 58*s**3 + 65*s**3.\nAnswer: 7*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*f*o + 22*f + 5156*o wrt f.\nAnswer: 38*o + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0721 and 0.190192?\nAnswer: 0.0137128432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -37081*(-1)\/18. Let l = a - -2062. Calculate the common denominator of l and ((-46)\/16)\/(27\/12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*w - 727*w - 24 = -24*v, 5 = 3*w + 5*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7074*b + 268749. What is z(-38)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 30 = -11*c + i, 0 = 5*c + 3*i + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/5)\/(j*j*((j\/(j**2\/j))\/j)\/j*j)*j**(-3\/2)*j\/(j\/(j\/((j\/(j\/((j\/(j\/(j**(-4)*j)))\/j)))\/j))) assuming j is positive.\nAnswer: j**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0*4\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3552348111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150192816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + m + 3 = 0, 0 = 12*y - 7*y - 5*m + 5. Suppose -5*j = -2*j - 12. Solve 0 = 5*c + 20, j*c = 4*q - y - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/51 in -90, 4\/3, -1\/10, -1, 2\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/120 - z**4\/24 - 239*z**3\/6 - 16*z**2. Let i be l(0). Round i to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 2 - 2 + (-1 + 1 + 1)*(162*o + 242*o - 96*o) as l + d*o and give d.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-152)*10*-12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 115*d - 1139. Let i be o(-11). What is the second smallest value in 41.9, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/195)\/((-2)\/78).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -1.3. Let h(z) = -3*z - 1. Let x be h(-2). Suppose 2 = -x*g - 3. Which is the nearest to 1? (a) i (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*b = 11, -4*q = b + 3*b - 12. Suppose -3*k = 0, 3*j = q*k + 95 - 35. Solve 0*w + 8 = -2*w + 2*c, c - j = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/39 <= 134773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288065452 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 1:05 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.463 + 0?\nAnswer: 3.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 177188 divided by -11\nAnswer: -16108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + o**3 - o**3 + (-3*o**3 + o**3 - o**3)*(-2 + 2*o + 2).\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 146011499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -106*l**4 + 100961*l**3 + 155602*l**2 - 95396*l - 3816 = 0.\nAnswer: -2, -2\/53, 1\/2, 954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -510 - -10?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from bbbebbbbbbbbbbbbbbe.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*n, -4*b - 911 = -2*n - 887 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4187*x**2. Let z(y) = -17*y - 25. Give z(j(k)).\nAnswer: -71179*k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 4. Let y = 84 - 80. Let d(q) = 2. Give y*d(u) - 2*s(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 2*sqrt(102))*6*-2)\/(sqrt(486) - (sqrt(486) - (sqrt(486)*2 + sqrt(486))*5)).\nAnswer: 4*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 6*t - t**2 + 6*t + 0*t + 0*t**2 - 2. Let g(i) = i**2 - 3*i + 2. Suppose 2*l - 37 = 5*s - 23, 5*l + 31 = -4*s. Give s*w(a) - 3*g(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69514494 by 9930642.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.8 + -16. Let u = 29 - 20. Let b = u - 8. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 230.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.26 - 2.16. Sort t, -2, 2, -4 in increasing order.\nAnswer: -4, -2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19 + 11*z + 23 - 24 wrt z?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 + (-2)\/(-9). Let z = d - 0. Solve -3*i = -4*x - 4, z = -6*i + 2*i + x + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)**(2\/85)*((f*f*f**0*f*f)\/f)**(-2\/73)*((f\/(f**(2\/11)\/f)*f)\/(f\/((f\/(f*(f*f**(-1))\/f))\/f)))**(-44) assuming f is positive.\nAnswer: f**(-5846\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*w = 70, -5*l + w - 6*w + 30 = 0. Suppose 4 = 2*v + l. Let f(q) = 4*q**2 + 2*q + 4. What is the remainder when 67 is divided by f(v)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 621484927\/702 + -885306. What is the common denominator of 95\/18 and n?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0 + 1\/105*x**7 - 3*x**2 + 1\/30*x**5 + 0*x**4 + 0*x**3 + 0*x + 0*x**6. Find the third derivative of g(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Solve -4 = -i*j + 3*h - 0, -3*j + 4*h + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367783?\nAnswer: 1367783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28b4 (base 15) to base 5\nAnswer: -234334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30789 - -30806. Solve -22 = -5*z + 4*l - 32, s = z + 3*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7467 and 5351274.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 8:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*k - 5. Put 1, -2, k, -4 in ascending order.\nAnswer: -4, -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 13. What is the remainder when (-6)\/2 + (p - -13) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15555, 19581, 12077, -6957?\n\"Answer: -5765*t**2 + 21321*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 12*h - 8. Let c = 13\/295 + -38\/59. What is the smallest value in c, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-156*q + 99*q - 217*q)*(-q + 0*q + 2*q)*(0*q - q + 4*q) in the form l + a*q**2 + g*q + n*q**3 and give n.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(-6\/7)))\/s)\/(s**(-1)*s))\/(s**(-1\/3)*s*s)**44 assuming s is positive.\nAnswer: s**(-1579\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84390 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870048.4 millimeters to micrometers.\nAnswer: 870048400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 11. Let z(d) = 19*d**2 + 56. Let n(x) = 33*v(x) - 6*z(x). Let y(t) be the first derivative of n(t). Let m(q) = -2*q**2. What is y(m(l))?\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (79\/(-1896))\/((-2)\/8). Let f(d) be the second derivative of -a*d**4 + 0 - 5*d + 0*d**2 + 0*d**3. Let b(n) = 2*n. What is b(f(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12719 and 54579?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**2 + 5*k. Let a(h) = h**2 + h. Let o(l) = -5*a(l) + c(l). Let i(n) = -n**2. Determine i(o(p)).\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.09 (b) 4 (c) -1 (d) -247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*i - 2*i - 8, 2*l + 6 = -5*i. Suppose -4*b + 6 = -l*b. Factor 4*q**4 - 5*q**4 + q**b + 0*q**3.\nAnswer: -q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 538*((-4)\/8 + 0). Let m = s + 2957\/11. Is m less than -18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1666)\/238 - (-1)\/(12\/87)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**2 + l - 9. Let g be b(8). Let z be g - (1 + 0 - 8). Let t(i) = z*i - 30 + 30. Give t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from {w: 2, u: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8683542 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s**3 - 10*s**2 - 16*s + 1. Let f(y) = 3*y**3 - 3*y**2 - 5*y + 1. Let l(i) = -7*f(i) + 2*k(i). Determine l(5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**2. Let y(c) = 391*c. Give x(y(r)).\nAnswer: 917286*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-533)\/((-582036)\/(-520))*(-3)\/(-20).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 5*h**2 - 4*h + 1. Let f be d(-3). Suppose -6*q + 2*q - 5*i + 13 = 0, 4*q + 7 = -i. Sort f, 4, q.\nAnswer: f, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -31. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/511670 and -121\/6.\nAnswer: 1535010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -32, -0.29, 94 in decreasing order.\nAnswer: 94, 0.1, -0.29, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 164*d + 2331. Calculate l(16).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -18*n**2 - 20*n. Let s(z) = z. Let i(w) = -k(w) + 3*s(w). Find the second derivative of i(u) wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5 + 12*a**2 + 2*a + 5*a**2 - 10*a**2 - a**3. Suppose -7*s = -s - 258. What is the remainder when s is divided by n(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16116 (base 7) in base 12?\nAnswer: -2749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148.1 + -60.9. What is the smallest value in -4, -1\/7, -1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1361*m**5 + 2842*m**4 - 12592957*m**2 wrt m?\nAnswer: 81660*m**2 + 68208*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 63. Suppose 4*l = -4*a, -4*l - v = l - 2*a. Let b(k) be the third derivative of -k**5\/60 - k**4\/6 + 5*k**2 + 68. Give b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -612?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 789390 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a = -23*a + 35*a - 992 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let h(y) = 7*y**2 + 7*y - 5. Let l(g) = h(g) - 4*o(g). Calculate the remainder when l(-6) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 d, and 1 i when four letters picked without replacement from tfdoitsd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21002526 by 3500421.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 6, z: 5, q: 2, g: 5}. What is prob of sequence ga?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25356.11cm?\nAnswer: 253561100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (142 - 106*p - 142)*((-p + 2*p + 0*p)*(5*p - p - 2*p) + 8*p**2 + 7*p**2 - 5*p**2) to the form n*p**2 + s*p**3 + l + g*p and give s.\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.021597.\nAnswer: -0.043194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6918.8 - 0.0037804\nAnswer: -6918.8037804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73713299?\nAnswer: 11, 167, 40127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 421 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**4\/8 + 271*h**3\/6 - 274*h**2 + 550*h - 7061. Find c, given that g(c) = 0.\nAnswer: -275, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 918953227 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3270 divided by -5\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 28*n + 13*n + 16*n + 2*h = 41, 9*h - 172 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(76)*1 + sqrt(76) + 4 + -4 + -1*1*sqrt(2736).\nAnswer: -8*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3102)\/7755*10\/(-24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10 - 4 - 7 + 5 - 7. Suppose -4*p + 7*p + 5*l - 25 = 0, 3*p - l - 13 = 0. Let h(r) = 0 - 4 + 2 + 4*r - p*r. What is -3*h(v) + 2*t(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11747869*g**4 - 8*g**2 + 551878 wrt g.\nAnswer: -281948856*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 57, -3, -5.\nAnswer: -5, -4, -3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 156 = -16*x + 44*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321127392 divided by 13327.\nAnswer: -24096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -315523?\nAnswer: -5\/315523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d + 0*d)*(-d**2 + d**2 - 2*d**2 + (1 - d - 1)*(4*d + 2*d - 4*d) + 2*d**2 - d**2 + d**2) - 2 + 2 - d**4.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66920.3903 - 12.6097. Let q = r + 66932.69983. Let d = -0.3 - q. What is d rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12046, 24259, 36472?\n\"Answer: 12213*g - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223496732 - 0.5?\nAnswer: 223496731.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 77. Give z(27).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 5. Let z be 2\/(s - 8\/(-5)). Is 10 a factor of z\/2*(-4 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057371817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - 15*x**2 - 10*x + 12. What is o(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 16 = -2*c. What is the common denominator of 77\/16 and (c - -2)*(-4 - (-275)\/60)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*u - q, 4*u + 5 + 0 = -q. Put -1, u, 4, -8 in decreasing order.\nAnswer: 4, -1, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 34460.\nAnswer: 1033.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 262 = 257. Let r(v) = 4*v**2 + 3*v + 3. Let t(a) = 5*a**2 + 3*a + 3. Determine x*t(m) - 6*r(m).\nAnswer: m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -2\/15*s**4 - 8\/75*s**5 + 1\/2*s**2 - 1\/15*s**3 + 0 - 4*s. Let g(a) be the first derivative of p(a). Factor g(b).\nAnswer: -2*(4*b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 + 12*c**4 - 4*c**3 - 12*c**2.\nAnswer: 4*c**2*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*c + 2*a, 2*c + 11*a - 22 = 6*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**7*k)*k*k**(-3\/8))\/((k*k**(2\/19)*k)\/k**(-2\/7)) assuming k is positive.\nAnswer: k**(-8263\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 3*c**2 + 2*c + 3. Give b(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2580 by -60.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2170049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 - 6384*p**4 + 3179082*p**3 + 231107184*p**2 + 3931537203*p.\nAnswer: 3*p*(p - 1097)**2*(p + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201341094 divided by -67113698\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - -104. Let t = -165.6 + m. What is the fourth smallest value in 3, t, -0.5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (739*r + 11*r**3 - 739*r)*(5 - 3*r - 5) + (-2*r**2 + r**2 + 2*r**2)*(-23*r + 3*r**2 + 23*r) to y*r**2 + f*r**4 + h*r + p + o*r**3 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2232)\/(-264))\/(-31))\/(5\/((-20)\/6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3032)\/(-28) + -1 + 10\/14. Suppose 307 - 22 = 5*s. Suppose -3*m + s = 4*h, -m + 1 - 10 = -h. Calculate the greatest common divisor of h and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 51*r**2 + 19*r. Let j be h(-5). Does 22 divide 2\/(-3) - j\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 4*z**2 + 7*z + 14. Let v be j(-2). Solve v = 8*n - 7 - 25 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 320122*q + 347468 with respect to q.\nAnswer: 320122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwttttwwt. Give prob of sequence ttw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1876 divided by 367\nAnswer: 1876\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 16 - (-26 + 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -16. Find the second derivative of 2*s**3 - 2*s - b + 0*s**3 + 8 wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 901967059*u + 92164676.\nAnswer: 901967059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + 3 + -4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 312*h**3 - 1272*h**2 + 1280*h.\nAnswer: 2*h*(h - 2)**2*(h + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259910 divided by 395.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.341 + -51.1. Let v = a + 0.759. Sort v, 3, -1 in ascending order.\nAnswer: -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/84 and 10\/1277.\nAnswer: 107268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/32*-4 - 1012\/88.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 3*y, -2*y - l + 10 = l. Let b be 0\/4 - (-1 + -4). Let q = b - y. Do 2\/5 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 27*n + 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 t when three letters picked without replacement from ttwwttt.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(152)*-3*-3)\/((3*sqrt(128) - sqrt(128))*5).\nAnswer: 9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 792 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 - n**3 + 5*n**2 + (5*n + 5*n - 6*n)*(4*n + 2*n**2 - 4*n) - n**3 - 4 + 4 + 2*n**3 + n**3 - 5*n**3 as g*n**2 + u + w*n**3 + i*n and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:29 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 4*a + 13 = 10*b, 3*a + 6 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 564779*d**3 + 38*d - 417433218?\nAnswer: 1694337*d**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (13 - (-4 - (-8 - (-4 + 1)))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/6*17\/(1666\/12).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -669*j**6*u + 1392*j**4*u**2 + j**2*u**2 + 356*j**2 + 326*j*u**2 - 5*j*u wrt j?\nAnswer: -80280*j**3*u + 33408*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*l - 8*n + 189, -n = -4*l + 357. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/90 + 555\/(-25). Put 1, j, -4 in increasing order.\nAnswer: j, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.294373759 * 1\nAnswer: 0.294373759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4148 divided by -3.\nAnswer: 4148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8140 is divided by 2008.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 440\/(-396)*(-6)\/(-5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -26*c. Let g be (7 - 6)*2*(-6)\/(-4). Suppose -9 = -a + 3*z - 0*z, g*z = -a + 9. Let k(i) = i + a*i - 9*i. Determine k(q(l)).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/5)\/(a*a**(-10))*a*a\/((a*a**0)\/a)*a**(1\/2) assuming a is positive.\nAnswer: a**(107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foqcaofcssca. Give prob of sequence os.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2349748 and 3?\nAnswer: 2349751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -2*g. Let q be ((-2 - 1)*-1)\/(15\/25). Suppose q*a + 360 = 10*a. Calculate the highest common divisor of g and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-320)\/(-4))\/(3\/(-24)*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.87541 rounded to 0 decimal places?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 3 (b) -3 (c) -0.5 (d) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-119) + 8\/68?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 2*a + 2. Let b(r) = -5*r**2 - 3*r - 2. What is 2*b(s) + 3*i(s)?\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 1. Let d be o(2). Suppose 0 = 3*c - c - 3*z - 16, 0 = d*c - 4*z - 23. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -13*g + 1560. Suppose -16*j + 216 = -g. Calculate the remainder when 130 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -763550 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 8*x**2 - 9. Let o be -3*2 - (-2 + 3). Let i be m(o). Suppose 4*f - 232 = i. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33353045 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1\/35*z**7 + 0*z + 0*z**3 - 1\/30*z**6 - 3*z**2 - 1\/10*z**5 + 0 + 1\/6*z**4. Solve o(i) = 0 for i.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*o + 5 = -7, 5*h = o - 4. Suppose g + 3*g + 8 = 0. Let x be g + ((-45)\/(-12) - 1). Which is the closest to 0? (a) x (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5 = 5*w - 2*v, -2*v + 11 = w. Find the common denominator of w\/3 - 365\/90 and -111\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -6\/13, 5\/6, -2, -0.2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(18)*1 + 2*(sqrt(54)\/sqrt(3) + sqrt(18)))*-1)\/(sqrt(384)*-2 + (sqrt(6) - (sqrt(6) + 2*sqrt(6)*-3))).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = -4*t - 13, -3*o = -6. Let g be 13\/(-13) - 1*t - 3. What is the third derivative of 1089*d**3 + 11*d**2 - 1093*d**3 + g*d**2 wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*v**4 + 2 + 5*v**2 + 0 - 6*v**2 to the form z*v**4 + r*v**2 + f*v**3 + i + g*v and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = t - 0. Let j(v) = 2*v**3 + 5*v**2 + 3*v - 4. Give j(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77.29 and 16.\nAnswer: -1236.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1206 + -744. What are the prime factors of o?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 3063435415?\nAnswer: -3063435412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 9373530?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1099*z**3 + z**5 - 1099*z**3 - 14*z**4 + (-12 - 15*z**3 + 12)*(3*z**2 + z**2 - 3*z**2).\nAnswer: -14*z**5 - 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-4056)*(-234)\/72.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202.3 + 189. Let d = s + 13. Let b = 4560 + -4560. What is the second biggest value in b, d, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a0215 + 1cd?\nAnswer: -a0026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/12*(-72)\/(-15). Let a(m) = -m**3 + 7*m**2 + 13*m - 20. Let j be a(f). Let d = -549 - j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 - 238ba8?\nAnswer: -239018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 7. Does 6 divide m(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218175162?\nAnswer: 2, 3, 37, 61, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 - -884. Suppose -m + 10 = 8. Suppose -t = -m*d - d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44964?\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 8*x - 1 + 2 - 2. Let p be u(-8). Let t = -142 + 1844\/13. Which is greater: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61899*n*o**5 - 2*n*o**4 + 7*n*o - 61*n + o wrt o.\nAnswer: 1237980*n*o**3 - 24*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 10:56 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -122288850.24 rounded to the nearest one thousand?\nAnswer: -122289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -43*k + 141 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13174260031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 - -153. Calculate the remainder when -142*(5\/10 - (-2)\/(-2)) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -458 + 609 - 639*p - 727 wrt p?\nAnswer: -639","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -85. Let c be 47\/g - (-4)\/20*0. Which is bigger: 12 or c?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-3)\/16 + (-749)\/5992.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48399560 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - h + 11, -2*h - h + 1 = -4*n. Solve 4*y - n = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (-3*(sqrt(396) + sqrt(396) + sqrt(396) + sqrt(396) + sqrt(396)*1) + sqrt(396)))\/sqrt(9).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-115))\/(((-26)\/15)\/(-13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 52, 78, 104, 130, 156?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**3 - 19*l**2 + 3*l**2 + 16*l**2.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -201, -194, -185, -174, -161, -146?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 12*l - 72 = 0. Let g = -1854 + 1899. Calculate the least common multiple of g and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 4*s - 4 + 8, 3*s = -3*f + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 2*a**3 + 0*a**3 + 2*a**3 - 2*a**2 + 2*a**2 + (-4 + 4 + a)*(3 + 2*a**2 - 3) - 34 - 2*a - a**3 + 34.\nAnswer: 5*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**3\/6 + 3*n**2\/2 - 2*n. Suppose -3*j + 10 - 61 = 0. Let y = j + 21. Let z(w) = w + 3. Calculate y*z(i) - 5*s(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 395 + -394. Which is the closest to y? (a) 4\/9 (b) 1\/4 (c) -1 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 81*d + 891. Let q be x(-11). Solve -25*t + 26*t - 5*l - 25 = 0, -t - 2*l - 10 = q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 39627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222806 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*t, x = -3*t + 107. Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {w: 5, h: 6, n: 2, u: 1, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 891017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r. Suppose 5*a - p - 289 = r, -a = -2*p - 60 + 4. Let z(g) = -21*g - 1. Calculate the remainder when a is divided by z(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0125 + 61.0125. Let i = x + -57. Sort 2, i, 2\/7, -0.12 in ascending order.\nAnswer: -0.12, 2\/7, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/1643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.936361l?\nAnswer: 9936.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(84)*1*3*1)\/((sqrt(12) - -5*(sqrt(12)*-2 + sqrt(12)))*2))**2.\nAnswer: 63\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21168 and 184240?\nAnswer: 4974480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 6*l + 29. Let i = 35 + -28. Is p(i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.2 (c) -27 (d) 5 (e) 35 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2960, 11837, 26632, 47345, 73976, 106525?\n\"Answer: 2959*h**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 - (-4)\/2. Let t be s + (-7)\/3 + 1. Is -1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4556, 2921, 1286, -349?\n\"Answer: -1635*n + 6191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-87))\/((-1)\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a57 (base 11) to base 12.\nAnswer: -8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 27 = 5*a, 0 = 5*c - 2*a + a + 18. Let r = 8 - 4. Let k be -2 + (-6)\/r*-2. Put c, 2, k in descending order.\nAnswer: 2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -22*z + 29. Let x(w) = 11*w - 15. Let j(c) = 6*r(c) + 11*x(c). Differentiate j(u) wrt u.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 338 - 338.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -4.23?\nAnswer: -1.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 3*n = -24, 2*y + 4 = 5*y + 242*n - 237*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - -6. Let h = w + -43. What is the lowest common multiple of 15 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191952241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/129 and 83\/63?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 5*v**3 + 4*v**3)*(2*v - 5*v + v) + 176*v**4 - 300*v**4 + 159*v**4 + (-6*v**2 + 3*v**2 + v**2)*(0*v**2 + 0*v**2 - 2*v**2).\nAnswer: 37*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27)\/(((-7)\/(-6))\/1).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-88 - (5 + 0))?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8719454 and 631290?\nAnswer: 3826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.19 - 0.09. Let p(b) = 6*b**2 - 1. Let h be p(1). Suppose -8*l - h = -3*l. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + 0.8. Suppose 13 - 3 = 2*n, -4*b = -3*n + 27. Let u be (14\/(-35))\/(18\/(-10)). What is the closest to -0.2 in x, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pppxbppiopxppppp?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/123, -2 in decreasing order.\nAnswer: 3, -1\/123, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1088)*3 + -4 + sqrt(1088) - sqrt(1088)) + 3)**2*1)*-6.\nAnswer: -58734 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6785843347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*t + 877*t + 70 - 1501 = 5019. Suppose 4\/7*n**t - 72\/7*n + 4*n**4 - 12\/7*n**2 + 0 + 52\/7*n**3 = 0. Calculate n.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6636975*r + 610. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -8376*o**5 + 55822*o**4 + 19664*o**3 + 42*o**2 = 0?\nAnswer: -1\/3, -3\/1396, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128548.97 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 172*t**2 - 172*t**2 + (2 + 4 + 0)*(4*t**5 + 2*t**5 + 7*t**5) - 3*t**5 + 0*t**5 + 2*t**5.\nAnswer: 74*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3054 and 1.4.\nAnswer: 1.82756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 - 8*x + 2. Calculate g(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 185600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Solve -5*o = -q - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9892 divided by -105?\nAnswer: 9892\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 2)*(0 + 2 + 0)*(63 + 72 - 114) - 470 + 400 - 635)*(0*t**3 + 4*t**3 - 3*t**3) to the form o*t**3 + v*t**2 + y + k*t and give o.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2047*w + 2042*w + 10 = 0. Sort w, -2, 20.\nAnswer: -2, w, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741159.\nAnswer: 7, 248737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(1 - 3 - 3) + 5 - 2 - 1)*(-12*m**2 - 4*m**2 + 4*m**2).\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90048 + 126657. List the prime factors of m.\nAnswer: 3, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**6\/10 - g**5\/4 + 13*g**3\/2 - 2*g - 15. Find the second derivative of y(m) wrt m.\nAnswer: -36*m**2 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.106 - 0.077. Round z to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3*s**2 + s)*(6 + 8 - 11)*(10 + 16 - 28).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 15 = -i + f, 0 = 4*i - 3*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:29 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -32 - 46. Let h(b) = 27*b**2 + b + 1. Let m be h(2). Let z = -59 + m. Calculate the highest common factor of z and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 26.5. Let g = 21 - v. What is the fourth smallest value in g, -3, -21, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 11 + 34. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(63) + sqrt(7)) + (sqrt(150)\/sqrt(125) - sqrt(30)) + sqrt(30))\/(-1*(sqrt(250) + (sqrt(250) - sqrt(250)*-2))*-2).\nAnswer: 9*sqrt(3)\/800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-258)\/(-2064) + 70\/16)\/171.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {u: 2, o: 5, w: 7}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*241.\nAnswer: 96.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukh. What is prob of sequence kkh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 27*s**2 + 23*s - 144. List the prime factors of x(29).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 87*i = -97*i + 69*i + 7614 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 1 - 1)*(8*h + 0*h - h).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 78 - 23 - 3*i - 24 + 45 as b + r*i and give b.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 14*b - 8. Let y be z(15). Solve 2*u = 5*k - 15, -4*u + y + 3 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115145239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -32. Let v be 1*(8\/(-20) + (-17)\/k). Solve 0 = 5*z + 2*t + 7, -v*z + t + 2*t = 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 164110000 to the nearest 1000000.\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*s + 2927 + 3898 = 0. Solve -94*g + s*g + 44 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2376714469*y - 2 + 0 + 2376714470*y.\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -695855 at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 17*v + 2. Let g be b(17). Solve 4 = g*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 26. Let k be (-33 - -32)*(0 + -2). Put 0, g, k in ascending order.\nAnswer: 0, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9))**(-3\/11) assuming t is positive.\nAnswer: t**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12155332?\nAnswer: 2, 7, 62017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:02 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 317, 319, 321?\n\"Answer: 2*x + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -36 in decreasing order.\nAnswer: 5, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -0.14 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-20)\/(-4) - (9 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {c: 1, n: 1, u: 1, r: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 1047, -5, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4939 divide 3783274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/819)\/(((-18032)\/621)\/(-56))?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1404 - -1d?\nAnswer: -13e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1681\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 651\/457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*d - 20, -5*d = 5*v - 3*d - 10. Suppose v = 5*x + 4*j + 30, 4*j + j = 3*x - 19. What is the common denominator of (13\/12)\/(3\/x) and 127\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 95 in descending order.\nAnswer: 95, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -79*d**2 - 16*d + 3. Let y(p) = 118*p**2 + 25*p - 5. Let r(u) = -8*m(u) - 5*y(u). Let l be r(-1). What is the highest common factor of 72 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -479682?\nAnswer: 13\/159894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 215487, 215488, 215489?\n\"Answer: k + 215486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2\/2 - 225*h\/2 + 215 = 0. Calculate h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12752759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 87, 86, 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7e330 (base 16) to base 3\nAnswer: 222021001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/128 and 35\/10592.\nAnswer: 42368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) - -1*((1*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77))) - sqrt(77)))\/(sqrt(352)\/sqrt(2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**3 - 3*g**2 + 24*g + 34. Factor f(o).\nAnswer: -3*(o - 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -583 - -581. Let r = 14 - 9. Suppose -9*u + w + 10 = -8*u, 2*u + 5*w = 20. Put u, j, r in descending order.\nAnswer: u, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 876.014 millilitres?\nAnswer: 0.876014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15 + 2\/12)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m, -2*m + 1 + 4 = -t. Solve 0 = 2*n + 2*z - 10, 5*n - t*z = -0 + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757397 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: Suppose 7*w - 2*w = 60. Let s(o) = -23*o + 1277. Let m be s(55). Is w < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 152*p**2 + 170*p - 3003. Determine j(151).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20147164.533 to the nearest 1000.\nAnswer: -20147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.264 - -111.736. Let m = -110 + q. Which is greater: m or 0.07?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37839929 or 75679859\/2?\nAnswer: 37839929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -212, -210?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/736 and 21\/32.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 72773.49 kilometers?\nAnswer: 72773490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 50. Suppose -p*q = -5 - 5. Suppose -4*j = -q*y - 54, 23 = 5*j - 3*j + 3*y. What is the greatest common divisor of 117 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 19 - 64. List the prime factors of -11 + 13 - (-1 + l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-40))**(-24) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208199\/3322 or 62?\nAnswer: 208199\/3322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/54315 and -26\/1651905.\nAnswer: 1993849335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 20, -6*z - 5*x = -4*z - 29. Let s(a) = -5*a - 1 + 2 + 6*a + z*a - 2*a**2 + 3*a**2. Determine s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 242 = 100. Suppose 74 + c = 5*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.01 (c) 0.2 (d) 107 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738014 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -7*f**3\/6 + 21*f**2\/2 + 5963*f. Give b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 2 v when four letters picked without replacement from {z: 3, r: 3, v: 4, l: 3}?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**25)**(-12\/7)*(a\/a**(-13))\/((a**(1\/4)*a)\/a) assuming a is positive.\nAnswer: a**(1537\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 6*d - 11. Give v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - 5814\/27. Let o be (1 + m)\/(48\/(-441)). Let t = o + -1961. What is the common denominator of -15 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - p + 8, 3*p = -2*n + 12. Let a(k) = 2*k**3 - 6*k - 7*k**3 - 3 + 4*k**n - 4*k**2 + 3*k. Calculate a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1598984451 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -23. Let t = 7 - r. Suppose l - 194 = -5*p + t*l, -2*p + 4*l = -86. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 3. Let c be l(5). Let g = 4 + -63. Let d = g - -107. Calculate the highest common divisor of c and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 2*h - 13 + 15, -2*b = h + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three twentieths of a century?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -14020 divided by 12562.\nAnswer: -7010\/6281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, h: 3, k: 4, v: 2}. Give prob of sequence kkhh.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61941, 61650, 61347, 61026, 60681, 60306, 59895, 59442?\n\"Answer: -y**3 - 284*y + 62226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1814769 and -89\/146648.\nAnswer: 14518152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/117 + 112 + 6640468\/(-59007)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, 10, 5, 0.2 in descending order.\nAnswer: 10, 5, 0.2, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from eiiihiaai.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*a + 358*a - 932*a - 763*a - 1283*a.\nAnswer: -2031*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 455*i - 1678784.\nAnswer: (i - 1543)*(i + 1088)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447981 is divided by 1725.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:56 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49420361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -49*z**4\/12 - 74*z**3\/3 + 183*z**2\/2 + 171. Let m(a) be the second derivative of u(a). Differentiate m(t) with respect to t.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1208 - -1214. Solve 2*a = -2*j + 20, -z + 11 = -a + 2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009239 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1597*z**2 - 3156*z**2 - 27 + 1556*z**2 + 56.\nAnswer: -3*z**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(765\/(-5100)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-4.4\nAnswer: 7.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 195 + 5?\nAnswer: 19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -27, -143, -377, -771, -1367?\nAnswer: -2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109027 is divided by 281?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -17. Let f = 8 + z. Suppose f = 2*s + 6 + 4. Put 3, s, -3 in descending order.\nAnswer: 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 < 2561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a + 1. Let d be t(-1). Let j be (1 - 0) + 3\/d. Solve 3*g = 4*z - 1, z + 0*z + 16 = j*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 10*m - 3. Let s be c(-9). Does 7 divide 49*4\/(-56)*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 10*d**2 - 11*d - 12. Let t be j(11). Let v be 3*(-3)\/t*(-48)\/(-1). Calculate the highest common divisor of 81 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 - 16 = 0. Suppose -p = -q + 1. Let d(l) = 22002*l - 6. Let i be d(q). What is i rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3\/4 (b) -7 (c) 53 (d) -2 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 7*w + 74 = -31*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-11)*6006\/819\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 890086739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228555 (base 10) to base 14.\nAnswer: 5d415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 - (-15)\/(21\/7). Solve -v*h = -18*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 889, 910, 947, 1000, 1069, 1154?\n\"Answer: 8*w**2 - 3*w + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7953 is divided by 1790?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-20)\/a*a)\/(((a\/(a*a\/(a**(-3\/5)\/a))*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4615 = 15*w - 10*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12427 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61679233 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 7*b**3 - 56961*b**2 - 9*b**3 + 56959*b**2 + 8*b**3.\nAnswer: 3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*o + 1703, -a + 3*o + 421 = -o. Find the common denominator of (-10)\/(-55) - a\/(-22) and ((-294)\/(-76) - 1) + -1.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 751 and 28503\/38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -2 (b) 588 (c) -398 (d) 3\/8 (e) -1\/4 (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46409, -46413, -46419, -46427?\nAnswer: -46437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -56*g + 2582. What is the least common multiple of (1 + 0)*(12 + -2) and w(46)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5 and 61\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - w + 5, -4*a = -3*a - 5*w + 3. Solve 0 = -4*i + 10 - a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - k**3 + k**2\/2 + 20*k. Determine q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(448\/(-49) + 9). Let w = 2 - -4. Let x(h) = -w*h + h**3 + 0*h**3 - 2*h**3 + 8*h**2 - 7. Give x(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Suppose k*n - 5*b = 4, 4*b + 27 = -3*n - 1. Let t be n\/(-2)*(-20)\/(-5). Solve 0*a = 2*a - t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -684*b + 151*b + 4264. What is the smallest common multiple of b and (-41*1 - 2)*-2?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543486*-92.\nAnswer: 50000712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -58. Let k be ((-4)\/p)\/((-1)\/104). Solve -k = 5*l - 6*j + 3*j, -5*j = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*-2*12\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 228\/36 + 4\/6. Let f(s) = s**3 - 6*s**2 - s - 7. Is f(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {g: 3, c: 1, w: 3, k: 1, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 33934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 15*r - 12. What is the units digit of i(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -2535.9?\nAnswer: 5071.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/30 + -1\/3. Are i and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:07 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 6*x + 2. Let j be f(-6). Suppose 2*p - 10 = -5*n, -j*n - p = -7*n + 10. Solve -b + 2*u = b - 10, -6 = n*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*f = 109*f + 2*s + 11, 0 = -5*s + 10. Let y(m) = -55*m**2 + 5*m - 9. Let t(h) = 28*h**2 - 2*h + 4. Calculate f*y(x) - 7*t(x).\nAnswer: -31*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 106*o + 1046. What is w(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.31815 * 26.8\nAnswer: 8.52642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k**(-6)*k**(-5)*k**(2\/13)*k)\/((k\/k**(1\/2)*k)\/k**(2\/9))**(-22) assuming k is positive.\nAnswer: k**(1552\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24468 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 3726 = -2806. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.1 + 40. Which is the second smallest value? (a) -1\/8 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 24*i**2 - 24*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*v**5 - 3*v**4 - 46*v**3 - 210*v**2 - 49.\nAnswer: 3540*v**2 - 72*v - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -508, 110, 2, 14 in ascending order.\nAnswer: -508, -2, 2, 14, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 14335738?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 142*u**2 - 4300*u - 11396. Give s(168).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*b + 37 = 0, 2*b + 53 = 5*f + 6*b. Suppose 0 = -5*p + 34 - f. Solve -p*z - 5*w + 20 = 0, -4*z + 2*w + w - 19 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 23217*x + 69642.\nAnswer: (x + 3)*(x + 23214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 4\/3, 9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, h: 3}. What is prob of picking 1 c and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-560)\/1400*10\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3329 - 3421.49. Let j = -93 - a. Round j to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5167074579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7706801 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 2 + 74\/26. Let p be 2356\/(-912) + 3\/36. Which is the third smallest value? (a) z (b) -0.06 (c) 0 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48468413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 17 = 3*j - 8, -4*j + 5*f = -25. Let d(x) be the first derivative of j*x + 0*x**2 - 4 - 7\/3*x**3. Let z(a) = -2*a**2. Determine z(d(w)).\nAnswer: -98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22153?\nAnswer: 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1380 divide 32335387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 7.37533134\nAnswer: -7.57533134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)\/(w**(-9)\/w) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 8b264?\nAnswer: -8b267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -270830.47 + 1484373\nAnswer: 1213542.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 970766 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 84. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-15 - 16) - (0 - -5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5095.\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*v + 3114 = -1371*v - 11003 - 1867 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - 3.68. Let t = p + 4. Round t to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:59 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18796 times -2\nAnswer: -37592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29367 = -471*z + 354*z. Solve 35 = -244*t + z*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - r - 11 = -6*d, -4*r = -2*d + 4. Suppose 4*b + 18 = -3*n, 4 = 2*n - 2*b + 2. Let y be (-2)\/4*(2 - 0). Sort y, n, d in increasing order.\nAnswer: n, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 368*v + 2 + 705*v to r*v + y and give r.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.7 + 453.5. Round t to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4 and (-222)\/20 - -3*(-14)\/(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/107013 or 0?\nAnswer: 4\/107013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*6\/(-180)*6\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19555999*j + 22985944?\nAnswer: 19555999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -23. What is the smallest common multiple of (u\/(-5))\/(2\/(-25)) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 4 - 7) + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2, 7\/8, 110 in increasing order.\nAnswer: -2, 1\/4, 7\/8, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from {b: 2, l: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (897\/390 - (-8)\/(-10))*(924\/399)\/11?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 greater than -241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from {v: 1, t: 3, z: 5, m: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161241431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 - -3.3. Let c = -1 - -0.5. What is the biggest value in -1, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.33 + -1.03. What is the fourth biggest value in n, 2\/5, 4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14181670 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002237 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12898?\nAnswer: 2, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5*i + 3. Let c be m(-5). Let b(n) = n**2 + 5*n - 6. Let q be b(-6). Suppose q*a + a = 0. Solve 4*l - 5 - c = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 13*t - 14. Determine j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -50*i**2 - 4*i. Let q(h) = 25*h**2 + 2*h. Give -3*l(n) - 5*q(n).\nAnswer: 25*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 411 + 183. Let n = a - 588. Let v(f) = f**3 - 4*f**2 - 8*f - 1. Determine v(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 11*t**3\/3 + 2*t. Is 22 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358311181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 7. Let w be a(-5). Solve -3*v = -w, -5*x - 2*v + 28 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7997473 + -0.048?\nAnswer: -7997473.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 296633245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3774 + 3868. Calculate the greatest common factor of q and 4042.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3013\/12 - 251. Let n(c) be the second derivative of -1\/60*c**6 + 0*c**2 + 1\/24*c**4 - i*c**3 - 4*c + 1\/40*c**5 + 0. Let n(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -15582?\nAnswer: -15587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 458 + -463. Which is the nearest to 0? (a) 0.0353 (b) o (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 11*g = 5*u - 47, -3*g - u + 38 = 0. Solve 0 = -g*t + 8*t - 13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-16)\/(-4) - 4. Suppose 0*m + 2*m = g. Suppose 99 = 3*k + 3*q, m = 2*k - 3*q - 41 - 20. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 5*b**4\/12 + 30*b**2. Let v = -13 + 20. Let y(u) = 3*u + 7. Let d(o) = -o - 3. Let n(j) = v*d(j) + 3*y(j). Determine n(r(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -45. Solve -4*q - 5*t = -a, -6 = -2*t - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d. Suppose -2*h = 2, 0 = 5*q - 4*h + 2*h + 33. Let s(u) = 3*u - 7. Let g(r) = 2*r - 4. Let p(k) = q*g(k) + 4*s(k). Give p(f(b)).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 19*j**2 - 1013*j - 85931. Determine n(99).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.14 (c) 0.01 (d) 193\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 262715 take away 62787.217?\nAnswer: 199927.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7590*r = -8867*r + 76351 - 1008 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.2, -4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 4*s**2 - 3*s + 4. Let l(d) = -6*d**2 - 6*d**2 - 12*d**2 - 14*d + 3*d**2 + 20 + 16*d**3. Let m(k) = -2*l(k) + 11*q(k). Determine m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 12*j**2 + 10*j + 16. What is x(13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nngz when four letters picked without replacement from {j: 2, n: 6, v: 1, g: 1, z: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 148*i**2 + 11251*i + 125. Give a(-76).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001111010000 (base 2) to base 10.\nAnswer: -46032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 894, -3, 3 in descending order.\nAnswer: 894, 3, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 1. Let h be y(-2). What is the second derivative of -2*d**4 - 4*d + h*d - 2*d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 - 222 + 19*y - 236 - 180 + 546.\nAnswer: 19*y - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (sqrt(170) + sqrt(170) + 3*(sqrt(170) - (sqrt(170) + -1*sqrt(170))) + sqrt(170))\/(sqrt(1440) + sqrt(1440) + 4*sqrt(1440))).\nAnswer: -5*sqrt(17)\/12 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(192) + sqrt(12)\/sqrt(4) + 0 + (sqrt(108)*-2 - -6*(sqrt(3) + -1)).\nAnswer: -7 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2042, -251, -0.4 in decreasing order.\nAnswer: -0.4, -251, -2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 1.258 (c) 2 (d) 0 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-10) + 2)\/(2\/16). What is the third derivative of 104 + 100 - 313 + 125*h**2 - 62*h**f + 109 wrt h?\nAnswer: -1488*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290.9 + -274. Let y = a + -17. Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-22)*36\/9. What is the smallest value in -0.4, -48, u?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/2))**(-41)\/(h**(2\/7))**(-7\/9) assuming h is positive.\nAnswer: h**(-365\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -0*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12 + 91\/4. Let n = h + -14. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -17, -14?\n\"Answer: 3*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 4046358?\nAnswer: -4046357.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 175340 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, -3, -1\/47, 1\/6 in increasing order.\nAnswer: -3, -2\/5, -1\/47, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173874.\nAnswer: 2, 1086937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/4, 78, 2\/7, -16\/89, -13 in decreasing order.\nAnswer: 78, 2\/7, 1\/4, -16\/89, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 136. Suppose 2*t = 4*u - k, -2*t + u = -u + 102. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -2) + 7 - 2 - -9. Let j(i) = 26*i + 18. What is the tens digit of j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5412462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from pbjjjjjwjwjwjj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))\/g*g**24 assuming g is positive.\nAnswer: g**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -948 - -1915. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 15. Suppose 4*b - 34 = 46. Let i = -13 + b. Let a(r) = -3*r - 10. Let j(c) = i*a(c) + 5*s(c). Give j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2. Let w(l) = -2*l + 39. Let z be w(17). Let p(v) = -2*v - z*v + 4*v. Give p(o(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - 175?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 420 + -274. Suppose -2*z - o = -4*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(((l\/(l**(-2\/9)*l))\/l)\/l)\/l*l**(-1)*l\/l**(5\/4)*l*l**(-3)*l*l)\/((l**(-2\/3)\/l)**0)**(-30) assuming l is positive.\nAnswer: l**(-109\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 38*u**3 - u**2 - u + 2. Let p be m(1). Let i = -27 + p. Calculate the remainder when 30 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12080 and 96640.\nAnswer: 96640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 151999*t**2\/2 - 5*t - 2. Let d be v(-5). Round d to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 424 - 425.243. Let i = -62.343 - u. What is i rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 74?\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9.8 times -3816\nAnswer: 37396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -2, -9\/115, -3?\nAnswer: -9\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)*(1 + -2). Let k(q) = q**3 + 4*q**2 + 1. Let t be k(-4). Sort 2, v, t in increasing order.\nAnswer: v, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 138 - 0.1.\nAnswer: 137.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9764 smaller than -9759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 4 + -10 + (-18 - -39)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 8*m + 54005 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*t**3 - 1519*t + 16464 wrt t?\nAnswer: 24*t**2 - 1519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9941, -17822, -25703?\n\"Answer: -7881*f - 2060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-8)\/w*w*(w*w**(-2\/7))\/w*w)\/(w\/(w**(-2\/35)*w)*w\/(w**(-1\/5)*w)) assuming w is positive.\nAnswer: w**(-229\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Suppose 7*w - 8 = 11*w. Let y be 24\/6*w\/(-8). Let c(d) be the first derivative of 2*d**3\/3 + 2*d**2 + 5*d + 1. Calculate y*c(p) + 5*g(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -2) + -7 + -2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 164956, 659815, 1484580, 2639251, 4123828, 5938311, 8082700?\n\"Answer: 164953*h**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let p(j) = -4*j**2 - 784*j - 39212. Let k(b) = 8*h(b) - p(b). Suppose k(s) = 0. What is s?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 = 2*t - 5*t, 5*u = -t + 49. Solve -5*g + 0*g = -u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 16. Suppose 0 = 2*b + x, -3*t + 3855 - 287 = -2*b. Let o be -1 - t*(-3)\/(-2). What is o rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14919706 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 8*y**2 + 28*y - 52. Give l(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 94974 and 0.2.\nAnswer: 18994.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*-6*2*-4 + 3 + 4)*3.\nAnswer: 21 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 1:50 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235 and 53535?\nAnswer: 2516145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2 + 12*z + 44. Calculate k(-3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.4 or 1.62?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67*y - 123*y - 153 - 299 - 597*y wrt y?\nAnswer: -653","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -66, 9\/610, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 5, 0, 1, -186, -59 in decreasing order.\nAnswer: 44, 5, 1, 0, -59, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2 = -n - 15, 6*i = -5*n - 49 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96113 and 6244?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 23*i**3 - 105*i**2 + 81*i.\nAnswer: i*(i - 3)*(i - 1)*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 102. Let a be 5\/3 - (f\/(-9) - -1). Let o be 96\/8*2*a. What is the highest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p + 58*p - 55 = -5*z, z = -2*p + 16 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 20*i + 98. Let p be j(4). Let b be (-3)\/2 - (-15)\/p. Sort -1\/2, -3\/7, -2\/3, b in decreasing order.\nAnswer: -3\/7, -1\/2, -2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, 104\/55, 0.4, 5?\nAnswer: 104\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 39*k**2 - 2*k + 1. Let f be z(2). Let q be f\/(-12)*(-1 + -3). Suppose -151 = -5*t - q. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -10. Let c be ((-9)\/y)\/(2\/(-6)). What is the second biggest value in -2, 10\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.69 - 1.46. Let n = h + -0.55. What is n rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.866 - -3.134. Let x = -4 + 8. What is the third biggest value in x, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400090387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(2448) + 2*sqrt(2448))*6 + ((sqrt(2448) + 1)*4 - (sqrt(2448) + sqrt(2448) + 0 + 3)))**2*2.\nAnswer: -22080*sqrt(17) + 1959458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 2. Let g = 275 - 161. Let y be r\/10 - g\/(-10). Calculate the highest common factor of 44 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*f + s + 6, -3*s = 3*f - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/56368 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(4*3\/132). Calculate the greatest common divisor of y and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2) - (4 + -2). Let s(n) = 2*n**2 + 3*n + 2. What is the units digit of s(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12030879?\nAnswer: 3, 7, 71, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*b - 7*b**2 - b**2 - 48*b + 5*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i = 526 - 3685. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16625989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 505\/2 in 4, 6\/5, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9+-0.1997095\nAnswer: -9.1997095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*q + 12. Let g be q + 0 + (2 - 4). What is the units digit of (-10)\/g*(-72)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {b: 6, f: 1, z: 2, k: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-36) + 2\/9. Suppose 3*w + x*w = 12, 5*h + w = 4. Let f be -2 - -22 - (2 - h). Calculate the highest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 45*v - 40. Let x(g) = 12*g**2 - 585*g + 519. Let c(u) = 27*q(u) + 2*x(u). Factor c(t).\nAnswer: -3*(t - 14)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 0.06 (c) 2\/5 (d) 4 (e) 0 (f) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -3, -47\/15, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) + 731630\/184*1138\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 4, n: 6}. What is prob of picking 2 n and 1 x?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*g + 5234*g - 820368 = 850*g - 2882*g for g.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 68657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 = 28904*y - 28951*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325381 and 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 59. Let h = 20 + -11. Let q = k - h. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103194 + 48.08926.\nAnswer: 103242.08926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169073241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 68.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:38 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -390 - -269. Let z = -120.882 - j. Let d = -0.117907 + z. Round d to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*f + 27*l - 26*l, 2*f - 3*l = 73. Calculate the remainder when 163 is divided by f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2903 = -13*y + 14304. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3247 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1904574 = -521*h + 1844138 for h.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*q = -161*q - 50. What is the least common multiple of 4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1595 - -906. Let w = 1131 + b. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 299 + 94*l**5 - 299 + (-2*l**4 + 0*l**4 + 0*l**4)*(-l - 2*l + 5*l) - 3*l**4 + 3*l**4 - l**5.\nAnswer: 89*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 0.7, -4, 0.11, 12, -7\/5, 0.1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let m = 23833\/7 - 3268. Let x = m - 137. Which is the closest to u? (a) x (b) -1 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0394 and -0.0201.\nAnswer: -0.0595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**5 - 256*x**4 - 549*x**3 + 90*x**2 + 4900 wrt x?\nAnswer: -180*x**2 - 6144*x - 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(10\/(-60)). Solve 6*p = i*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*v**3 - 205*v**3 + 78*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h**2 + 28*h - 46. What is t(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*f + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ele when three letters picked without replacement from {i: 1, b: 6, e: 5, l: 1, g: 3, n: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-475)\/(-2))\/(1 - (-597)\/(-600)). What is p rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 17. Let q(l) = -6*l - 6. Is q(b) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -0.88. Let v = 2.22 + j. Which is the closest to -2? (a) -0.3 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g - 34. Let n = 279 + -245. Let i(h) = -h - 6. Let w(y) = n*i(y) - 6*q(y). Let t(m) = -3*m**2 + 2*m. Give w(t(o)).\nAnswer: -6*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1141517 by -277.\nAnswer: -4121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/482 and 81\/14.\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:27 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 865, 878, 891, 904, 917?\n\"Answer: 13*n + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 342584 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(42)\/(sqrt(24)\/sqrt(4)) + (sqrt(7) + ((-2*sqrt(77))\/sqrt(11) - sqrt(7)))*-2 - ((sqrt(560) + sqrt(35))*-2)\/(sqrt(605)*-1))**2.\nAnswer: 14175\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3932689?\nAnswer: 3932689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*-392\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 16*h**2 + h + 31. Let x be w(16). Calculate the highest common factor of 47 and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -133. Let i(q) = 26*q + 21*q - f*q. Let o(h) = 6*h - 7*h - 17*h. Determine o(i(z)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515 + 501 - 1015 - 4366*f.\nAnswer: -4366*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13323, -26648, -39973?\n\"Answer: -13325*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytyyttytt. Give prob of sequence tty.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:25 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -10*w**2 - 77*w + 37. Determine c(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.64 - 0.64. Let z = -3 - -4. Which is the closest to g? (a) z (b) 2\/15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3311 and 31003.\nAnswer: 341033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**4 - 13*w**3 - 142*w + 3485. Let o(y) = 15*y**4 - 22*y**3 - 236*y + 5808. Let c(n) = 7*o(n) - 12*v(n). Find the first derivative of c(g) wrt g.\nAnswer: -12*g**3 + 6*g**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-5)*40\/24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 424124977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488.2879 millilitres to litres.\nAnswer: 0.4882879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -1\/2, 2\/11, 0.4, 0.5, -4.\nAnswer: -32, -4, -1\/2, 2\/11, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-10 + 9 + -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 64 - (22 + -42 + (18 - 11)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14059 is divided by 1166?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -25*z**2. Suppose -5*k = -4*r + 31875, -2*r - 330 = -5*k - 16255. Let a(w) = 10*w**2 - 7975*w + r*w. Give a(p(y)).\nAnswer: 6250*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*s**2 - 47*s**2 + 269 - 269.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = 0. Let d be 8 - -12 - (-6)\/(-1). Suppose -4*n - d + 46 = m. What is the remainder when n is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 756729160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.2. Let i = t + 0.1. Let r = 3625\/84 - 523\/12. Which is the closest to i? (a) r (b) 2\/9 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let m = 27\/5 - 6. Is m greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -23*b + 1486. Let d be p(29). Calculate the greatest common divisor of 63 and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222122110 (base 3) to base 4.\nAnswer: -21203010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*-5 + 4*(sqrt(95) + -2*sqrt(95)))\/((1*sqrt(160))\/(2*sqrt(1152))).\nAnswer: 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 793, 918, 1077, 1264, 1473, 1698, 1933, 2172?\n\"Answer: -u**3 + 23*u**2 + 63*u + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 201230 - 201230 + 3639*x + (1 + 5 - 2)*(3 - 3 - 2*x)*(-3 + 1 + 3).\nAnswer: 3631*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 - 107. Suppose 2*h + z*o = 0, 0 = -2*h + o + 2*o. Solve -5*u + h*u = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202979, 815139, 1835411, 3263801, 5100315, 7344959, 9997739, 13058661?\nAnswer: 16527731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**8\/840 + b**7\/180 - b**6\/270 - b**3\/3 + 30*b**2 + 42. Let d(y) be the third derivative of o(y). Factor d(x).\nAnswer: -2*x**2*(x - 2)*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7068 and 2945.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 21*q**2 - 24*q + 24. Let r be x(1). Suppose r*u + 3*u - 120 = 0. Suppose 0 = w - 2 + 1. Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -q - 4*q + 2476, -3*r - 2464 = -5*q. Let n = -380 - -401. Let p = q - n. Calculate the highest common factor of 43 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266 - 270. Let j(a) = 12*a**3 - 4*a**2 - 4*a + 4. Let z(t) = -12*t**3 + 3*t**2 + 3*t - 3. Determine w*z(b) - 3*j(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from uuuuuuxxuu.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {k: 2, n: 4, s: 1, w: 1, o: 7}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 647, 959, 1265?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1026 = -4*o - 282. Let c = o - -289. Calculate the remainder when c is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 52*s**2 + 47*s + 114. Determine w(51).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 6, t: 1, k: 4, h: 4, w: 2}. Give prob of picking 1 t and 1 h.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-1)\/(-5))\/((-3)\/15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8635?\nAnswer: 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**10*p*p*p**(-2\/11)\/p*p*(p**(-5))**(1\/3) assuming p is positive.\nAnswer: p**(335\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.79389 - 0.29389. What is the closest to -2\/5 in -2\/11, -103, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.99 + -0.01. Let h = 7 + u. Suppose -16*t + 50 = -26*t. What is the closest to 1 in h, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247.5 + -247.500002362. Round p to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-3)\/(-6))*8. Suppose 2*g - 16 = 2*f, m*g + 3*f + 14 = 67. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*r - 5*r**2 + 600*r + 329*r.\nAnswer: -5*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 3419*d + 73 - 27 in the form z + o*d and give o.\nAnswer: 3419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225274 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.799896434 to two decimal places.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -q - 3*d, 2*q - 3*d + 6 = d. Let z be ((-12)\/8)\/q*-24. Suppose 21*w = z*w + 117. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -156. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25602750037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -9 (c) 2 (d) -15 (e) -0.5 (f) 135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -220.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/156591 and 31\/152363043.\nAnswer: 152363043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1062 and 1578663.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 4*t**3 - 3*t**3 + (3*t + t**2 - 3*t)*(-3*t - 3 + 3).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 11}. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 5*g**2 + 2*g - 3. Let y(l) be the second derivative of -l**5\/20 + l**4\/3 + l**3\/3 - l**2 + 133*l. Give 2*s(q) - 3*y(q).\nAnswer: -q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149921321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 10*m + 4. Let h be i(8). Let d = h + -15. Suppose -7*x = -d*x - 362. List the prime factors of x.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 257*k + 1 - 257*k - 12*k**2 + 0*k**2 + 2*k**2 + 0*k**2 + 1 - 1 + k**2 + k - k - k**2 + k**2 + 2*k**2 - 2*k**2 + (-3*k + 2*k + 3*k)*(k + 3 - 3).\nAnswer: -7*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -33. Suppose -2*j = -0*d - 5*d - 2691, -15 = o*d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1029*a - 1. Let v(t) = -6156*t - 6. What is -35*h(f) + 6*v(f)?\nAnswer: -921*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9216 (base 16) in base 13?\nAnswer: 1403a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28755683 is divided by 22840.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from xcccccscsxxcs.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1147, -4571, -10285, -18295, -28607?\n\"Answer: -f**3 - 1139*f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2688 and 2\/465?\nAnswer: 416640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g**2 + 21*g - 24. Let h(b) = -3*b**2 + 4*b - 5. Let z(q) = -11*h(q) + 2*j(q). Let w be z(3). Is (8766\/15)\/(-4 - (-44)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 15 = -5*n + 6*n, 5*r - 4*n - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o + 3 - 3)*(8*o + 0*o + 0*o).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7642.536 milliseconds to nanoseconds.\nAnswer: 7642536000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 15) to base 6\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006039467707 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9115 + -24849?\nAnswer: -33964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 6. Suppose -t + 3*f - 7 = 0, -5 - 20 = -5*t - 5*f. Let l = t - 8. Determine h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + (-4*sqrt(10)\/sqrt(2))**2)) + sqrt(40)\/(2*sqrt(8) - sqrt(8)) - (6*(2*sqrt(80) - sqrt(80)))\/sqrt(4).\nAnswer: -80 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) 3 (c) 37\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.0461, 0.1, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - 2*s)*(-25*s + 43*s - 11*s) + (3*s**2 + 0*s**2 - 5*s**2)*(3 + 2 - 7) - s + s + s**2 - 2*s**2 + 0*s**2 + 0*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7803132626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (18165\/(-1730))\/(81\/12)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j + m - 62, 0 = -5*j + 5*m + 215. Let o = j - 27. Let c be (10\/(-6))\/((-6)\/o). Solve -s - 10 = -c*y, -y + 2 = -2*s - 3*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 3*h - 16, h + 21 = 3*l + 38 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 1)*(j - 2*j - j + (2*j + j - 2*j)*(-6 + 4 + 1))*(0*j + 3*j - j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 326451717 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1536896 divided by 1.\nAnswer: -1536896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 5. Let c be n(6). Let m be (-2)\/(1*(1 + c)). Let v(h) = -10*h**3 - h**2. List the prime factors of v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m**4 - 6*m**4 + 5*m + 6*m**4 + m wrt m?\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/6 - -1\/3. Let y = 33.8 + 111.2. Let s = 144.7 - y. Sort r, 0.5, s in increasing order.\nAnswer: s, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/1200 + (-201)\/(-144))*-42\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 41058?\nAnswer: -41056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 38241423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -79. Let g = t - -34.6. What is the fourth smallest value in g, -2\/15, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 171396906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 160*m - 1268. Determine b(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 469\/230667 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -497*o + 10*o**3 - 6*o**2 - 504*o + 1559*o - 527*o to h + c*o**3 + f*o**2 + a*o and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d**(-1\/2))**(-2)\/(d**5*d\/(d\/d**(2\/3)))**(-2\/5) assuming d is positive.\nAnswer: d**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17192 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -80*x**2 - 4*x + 101. Let u be n(-11). What are the prime factors of (-9)\/(-15) - u\/25?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 2*l + 7. Let n be r(-5). Suppose -19*k + 244 - 73 = 0. Let a be 3\/((-21)\/(-14)) + k. What is the greatest common divisor of n and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 152, -25, -2 in descending order.\nAnswer: 152, 2, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11211, -5, -0.1, -1\/5 in descending order.\nAnswer: -2\/11211, -0.1, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 931 + -873. Which is the third biggest value? (a) -1 (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f. Let t(n) = n - 124. Give w(t(j)).\nAnswer: -8*j + 992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (0 + -7 + 2). Let v = 15 + -11. Suppose v*g = -0*g + 4. Sort g, 0, n.\nAnswer: 0, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -209, -1\/8, 3\/356, -1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 21. Let r be s(-5). Let i be (-4 + 104\/20)*r\/2. Let g = 2.94 - -0.06. What is the third biggest value in 5, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*g + 368463 - 737029 + 368566.\nAnswer: 232*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k - 2. Let o(c) = c**3 + 3*c**2 - c + 1. Let b be o(-4). Is w(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 46392.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -405, -774, -1099, -1380, -1617, -1810?\n\"Answer: 22*m**2 - 435*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 170. Suppose -2*z - 53 - l = 0. What is z rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = 0. What is the units digit of (52\/4)\/(c + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13150918\/1223 + -10753. Let s = o - -46479\/6115. Calculate the common denominator of s and (14\/9)\/(3*2\/(-18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ennn when four letters picked without replacement from neneeeeeeenene?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 6*d - 16. Let k be s(-2). Suppose k*j - 3*g = 733, 7*j - 350 = 5*j - 4*g. What are the prime factors of j?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 15*m = -131 - 100. Let f(z) = 7*z**3 - 7*z**2 - 13*z. Let c(v) = 3*v**3 - 4*v**2 - 7*v. Calculate m*c(g) - 6*f(g).\nAnswer: -9*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -8. Let h be (-42)\/b - 11\/44. Suppose 3*u - h = 8*u, 4*i - 4*u = 16. Solve t - 1 = 0, -t - i*t - 11 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.26707 hours to milliseconds.\nAnswer: 252961452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + sqrt(15)\/sqrt(3))**2)*6 + sqrt(5) + 0 + sqrt(5)*3.\nAnswer: -120 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.4 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -46.5 at most as big as 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-6\/7)\/w*w)**(-44) assuming w is positive.\nAnswer: w**(-660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/17 in 1, -1\/8, -10, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96011 - -175761. Let p be (c\/(-4) - 1)*2. Let u = -17877 - p. What is u rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2143 - -722847?\nAnswer: 720704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9043754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammamryaraayramna. Give prob of picking 1 y and 1 n.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35759 and -0.05.\nAnswer: 1787.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1046*f**2 - 4*f + 1202*f**2 + 2*f to b + n*f + u*f**2 and give u.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/3 + 25. Let f(w) = -5*w**2 - 6*w + 1. Calculate f(b) + 4*x(b).\nAnswer: -b**2 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10 and 9\/454.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8722 and 30870.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 + -105. Which is the closest to 2? (a) -5 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 + -38. Let l = -83 + x. Which is the third smallest value? (a) 5\/7 (b) l (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292588, 292595, 292606, 292621?\nAnswer: 292640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:56 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -21. Suppose 168 = -r*h + 7*h. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-22))\/(-6) - (-2339447)\/121. Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 3, 2\/3, 0, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 6*g**2 - g - 10. Let w be u(-6). Let i be (w\/5 - -1) + (-38)\/(-10). Solve -4*z - 7 = -5*d + 12, i*z + 7 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -315 - -4723\/15. Let l = 4802 + -4802.2. Which is the closest to 3\/2? (a) -2\/3 (b) u (c) l (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 24 + 14. Let n(d) = 2*d**3 + 4*d**2 - 1. Determine n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -68, -1, -597, 3 in increasing order.\nAnswer: -597, -68, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {y: 3, i: 2, a: 1, h: 2, m: 2, r: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 - 480*v**3 - 42944*v**2 - 1697280*v - 25006592 = 0. Calculate v.\nAnswer: -68, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12837?\nAnswer: 3, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(228)\/(sqrt(192)*6).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*n**3*v**3 + 2*a*n**2*v + 7*a*v**2 + 5*n**3*v**2 + 2*n**3*v + n**3 - 2*n**2*v wrt v?\nAnswer: -6*a*n**3*v + 14*a + 10*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 - 1.66. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3615*r - 19*r**2 - 3615*r + 4)*(25 - 7 + 1).\nAnswer: -361*r**2 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 2)*(-21*f**2 + 35*f**2 - 41*f**2) + 68*f**2 + 14*f**2 + 166*f**2 + 83*f**2 - 72*f**2 in the form y*f**2 + r*f + t and give y.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(112) - 1*sqrt(13)*2) + 2.\nAnswer: -7*sqrt(13)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 220?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561643364?\nAnswer: 2, 3, 19, 6849313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 763701, 1527405, 2291109?\nAnswer: 3054813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - 30 - 4646\/92?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 256*a**2 + 3*a + 2. Let c(u) = 4*u - 141. What is d(c(h))?\nAnswer: 4096*h**2 - 288756*h + 5089115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 - 11*t - 13. Let r(l) = -9*l**2 - 22*l - 24. Let q(v) = 6*r(v) - 14*y(v). Let j be q(-9). Solve -j*o - 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689510 is divided by 137900.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2, 3*c = 2*c - 3*y. Suppose 5*o - 2*a - 10 = -0*o, -c*a - 15 = -5*o. Do 0 and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 - 73. Let k = 109 + -52. Let n = b - k. Calculate the remainder when n is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4267 or -4269?\nAnswer: -4267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 6087?\nAnswer: -6094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ssssisiss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:27 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.1, 4, 1\/3, -997?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = 60. Let j be (-5)\/z*(-16)\/30. Let t = 113\/3 + -38. Which is the closest to t? (a) -0.3 (b) j (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -8 + 4 + -3\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.4, 1.8, -11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1684 + 1080. Find the common denominator of -49\/10 and c\/9*(-5)\/40.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3401 (base 5) in base 2?\nAnswer: -111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 7*n - 708. Let q = n + -83. Which is the fourth biggest value? (a) q (b) -3\/7 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 6 - 2. Let q be 0\/((-6)\/w) - -345. Suppose -117 + q = 4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -318884*f + 5739902. Determine d(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 781 + -746. Solve 3*q = -4*q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-3249)\/247)\/(-1 + -2).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 4) + 27 + -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3864.2 - 3863.77939. Round l to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 107 + 74 - 136 - 83 - 146.\nAnswer: 2*n - 398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 9*y**2 - 5*y - 5. Let l be z(-10). Let m = 330 - l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*w + w. Let z be 25\/15 + (-16)\/(-3). Let u = -1 + z. Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20577*o**3 - 22743*o**2 - 8379*o - 1029.\nAnswer: -3*(19*o + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57123, 55301, 50349, 40701, 24791, 1053, -32079?\n\"Answer: -261*q**3 + q**2 + 2*q + 57381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/466178 and 37\/60152.\nAnswer: 1864712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-147) - (9\/21 + -4)) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00855087 to four dps.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 883, 3401, 7519, 13237?\nAnswer: 20555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + (sqrt(11) - (-1 + sqrt(33)\/sqrt(3))**2) + sqrt(11) + ((sqrt(330)\/(sqrt(24)\/sqrt(4)))\/sqrt(5))**2)*3.\nAnswer: -9 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -12 (c) 0.2 (d) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 8*z + 1. Let s be 20\/(-6)*(-6)\/5. Calculate d(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)\/((q\/(q**(-6)\/q*q))\/q))\/(q**38\/q*q**(5\/8)) assuming q is positive.\nAnswer: q**(-341\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3 - 3*q - 4 + 11*q + 0*q. Is n(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, l: 9}. Give prob of sequence lrl.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 7*b + 5. Let h be g(-7). Suppose -2*c + 22 = 6. Let y = c - 4. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + f - f + 23*f**2 + 2*f.\nAnswer: 23*f**2 + 2*f + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d + 2*w - 5, 0 = 4*w. Let q be ((-3)\/(-9))\/(d\/(-24)). Let s(t) = t**3 - 4*t**2 + t - 2. Let z be s(q). Solve 0 = 2*r - z - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0 + 11\/6*g**3 + 23*g - 3*g**2. What is the first derivative of t(y) wrt y?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 24*t - 94. Let c be s(6). Let a be 8\/10*5\/(0 + c). Sort 0, a, -2\/9 in decreasing order.\nAnswer: a, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 + -155. Suppose -c*h + 99 = -77. What is the remainder when 70 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -8*k - 18. Let n = 5 + -9. Are k and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82957650 or -82957648?\nAnswer: -82957648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 19*h. Sort 5, h, 13, -3.\nAnswer: -3, h, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:17 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = -5. What is the second derivative of 2*o + 0*o**2 + q*o**2 + 3*o wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010 times -0.0969\nAnswer: -1066.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133388 is divided by 7020.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 8*t**2 - 2*t - 11. Let h(x) be the first derivative of -25*x**2\/2 - 234*x - 141. Calculate the remainder when h(-11) is divided by g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 1)*(-3*z + z + 0*z)*(1 - 1 + 2) + (6 - 7 - 6)*(-2*z - z + 2*z) - 2*z + 6*z - 3*z to w*z + b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29238 - -60235. Calculate the highest common factor of 223 and v.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 57*x**2 - 172*x - 114. What is v(-54)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10103 - 220312302?\nAnswer: -220302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 13*b**2 - 13*b - 14. Let g be k(14). Suppose d + 2*d + 6 = 0, -4*l - 4*d - 48 = g. Let n be l\/(-35) + 3\/(-7). Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) 2\/3 (c) -4\/122543 (d) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/30885 and -25\/186882.\nAnswer: 1923950190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50902758 by 3.\nAnswer: -16967586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -47 (b) -1\/24 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 - 2*q + 59592. Let o be h(0). Suppose 39*d - 234 = o. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6552 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*i + 405658438*c + 45464392*i wrt i?\nAnswer: -2*c + 45464392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 14*z**2. Let q(j) = 426*j - 307. Let b be q(4). Let u(p) = 2783*p**2 - b*p**2 - 1394*p**2. Determine s(u(o)).\nAnswer: 896*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:50 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 11*f**2 - 8*f + 24. Let i be l(-10). Let h be 4144\/18 - i\/18. What is the highest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159776929 by -23.\nAnswer: 6946823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 8. Suppose -2*r + 4*r = -10. Let d(g) = 4*g + 12. Let x(i) = r*d(i) - 7*q(i). Let z be x(7). Solve -z*t - 2*s - 9 = 3*s, 2*s = -4*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1793025)\/(-1755) - 2*1\/(-6) is divided by 75.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226*i - 22*i**2 + 7*i**2 - 50*i**2 + 7*i**2 - 245*i to the form l + y*i**2 + j*i and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from vnvvylt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/7 - 112*o + 19032\/7 = 0. What is o?\nAnswer: 26, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120284 and 12.\nAnswer: 360852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/630496 and 31\/788120?\nAnswer: 3152480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4095 - -12891. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.59 and -4.\nAnswer: -5.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 445663244 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*z - 199*z = 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 949.6 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.022? (a) 1\/2 (b) 26 (c) -1\/48 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/8)\/(2\/(-8)). Let n be (-30)\/s*2\/2. Let k(u) = 9*u**3 + 2*u - 1. Let q be k(1). Calculate the greatest common divisor of n and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100590 and 80472?\nAnswer: 402360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-5*sqrt(448)*-4 + sqrt(448))*6 + (sqrt(448) + -2 + 2 - 5*(sqrt(448) + 1)))*2)**2.\nAnswer: -39040*sqrt(7) + 26672228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 117*w**2 + 151*w - 4049. Let o be v(116). Put 2\/3, o, 23 in decreasing order.\nAnswer: 23, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 58 + 5*n + 5*n - 17*n - n - 122.\nAnswer: -8*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1010010010010111000000011110?\nAnswer: -1010010010010111000000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201 (base 3) to base 8.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*w = 6, 3*b - 5*w - 32 + 12 = 0. Solve 2*k = 4*k + 5*r - 3, -5*r = -b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g**2. Let s(q) be the first derivative of 18 + 0*q**3 - 22*q + 1\/12*q**4 + 0*q**2. Let m(l) be the first derivative of s(l). Determine m(p(b)).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**3\/3 - 5*s**2\/2 + 2*s - 7. Let q be i(-4). Let y = q + -2. Solve -x = 5 - 2, -16 = y*z + 4*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 182 = -9*q, -5*q + 96 = -16971*w + 16973*w for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17911 + 17911 - 1875*c**2.\nAnswer: -1875*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k - 8 = -28*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*f + 52, 5*f + 4*l = -67 - 1. Let z be f\/56 + (-20)\/(-21). Let n = 2930 + -2929. What is the nearest to 0 in z, 3, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3845831 months to decades.\nAnswer: 0.0115381925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5.98. Let g = 0.12 - z. Sort -2, g, -4\/3 in ascending order.\nAnswer: -2, -4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11*(-11)\/363 + 2\/(-6). Sort 3, 15, a.\nAnswer: a, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*-1*sqrt(70))\/(sqrt(10) + sqrt(20)\/(sqrt(2)*1) - (sqrt(90) + sqrt(90) + sqrt(90)*-1 + sqrt(90))) + 4.\nAnswer: -3*sqrt(7)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(153) + 1.\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11) - sqrt(11)*-2) + 5 + sqrt(35)\/sqrt(5).\nAnswer: 4*sqrt(7)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (sqrt(400)*-2)\/sqrt(8)))**2 + (5*(sqrt(8)\/sqrt(4) + sqrt(2)) + sqrt(2))*-4*-2 + 2 + -4.\nAnswer: 8*sqrt(2) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 + 20*t**2 + 7*t - 10. Determine g(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -1\/1008*i**8 + 5*i**2 + 1\/210*i**7 + 0*i**4 - 1\/120*i**6 + 1\/180*i**5 + 0*i**3 + 0*i + 0. What is u in k(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (-7 - (-40 + 1))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/20 - p**4\/2 + 3*p**3\/2 + 5*p**2 + p. Let s = 232 + -229. Suppose 9*z - s = -66. Calculate w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 323673 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, 0, -188 in descending order.\nAnswer: 261, 0, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foojofjfoojoj. What is prob of picking 2 j and 1 o?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (-9 + -9 - 53)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -4) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24545 = 5*p, 4*p - 18018 = -4*w + 1618. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -367?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in 39.5391, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112001211210110 + -2?\nAnswer: -10112001211210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:20 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -11, 1\/2, 12 in increasing order.\nAnswer: -11, -1, -0.4, 1\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 - -233. Let b = -11 + f. Suppose 2*g = -3*x + b, -2*g + 2*x - 6*x = -82. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952225?\nAnswer: 5, 11, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 32*y**2 + 64*y.\nAnswer: 4*y*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 884 = 4*d, 16*o = 14*o - 2*d + 914. Differentiate o*t**3 + 233 - 77 - 663*t**3 wrt t.\nAnswer: -633*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l - 8 = 3*h, l - 2 = -2*h. Suppose -5*x = 3*r - 2 + 1, -4*x + 2*r - 8 = h. Which is greater: -26\/21 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:33 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i + 3. Suppose -67 = 4*u + 181. Let d = u - -65. Let c be z(d). Solve 0 = -o - c*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128808 divided by 6?\nAnswer: -21468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -93105908262 - 3.4?\nAnswer: -93105908265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(0*v + 2*v + 3*v) - 113 + 113 + 54*v - 4*v + 2*v + 0*v + v - 3*v + 4*v + (-2 + 3 - 3)*(-v + 2*v - 3*v) to y*v + q and give y.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/22, 0.31, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22234853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 15\/(-3)) + -2. Let t be (-8)\/(-32) - b\/(-4). Suppose -j + 2*l = -t*j - 1, 14 = 4*j + 2*l. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b + 7. Let q = -25 + 18. Is y(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010110010 - -100110111111?\nAnswer: 1011001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11807626.5 rounded to the nearest one hundred thousand?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 11*d + 12. Let a be r(-9). Let o(h) = h**2 - 2*h - 2. Let k(s) = -2*s**2 + 5*s + 4. Let y(j) = -6*k(j) - 13*o(j). Determine y(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 11*h**2 + 9*h - 12. Let z(r) = -r**2 - 14*r + 2557. Let t be z(44). Determine q(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83, 323, 725, 1289?\n\"Answer: 81*s**2 - 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179898839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 - 253*t**2 - 437*t - 2199. Calculate v(30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-5\/3))\/(v\/(v**(-5\/2)\/v*v*v)))\/((v**(-12)\/v)\/(v\/((v**10\/v)\/v))))**(2\/9) assuming v is positive.\nAnswer: v**(17\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from kuurvruvkkk.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - t)*((1 - 4 + 4)*(0 + 1 + 1) + 1 + 2 + 3)*(-1 + 1 + 2*t**2).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 + 3*s. Let m be z(-2). Let k(o) = 2*o**2 + o**3 + 0*o**3 + m - 3*o - 5. Suppose 107*w + 19*w = -252. Calculate k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.5 - 41?\nAnswer: -272.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*j - 181*j = -91 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 569 - 505 = 0. Let j(m) = m**3 - 15*m**2 - 16*m + 6. What is j(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -20. Let v = m - 11. Suppose v*z = -z + 140. What is the remainder when z is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-101950)\/(-8))\/(145\/232)?\nAnswer: 2, 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/24 - t**4\/8 - 6*t**2. What is the second derivative of v(g) wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2372, -0.6, 3.\nAnswer: -0.6, 3, 2372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/130 and -15\/1352?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117))**2*-3.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 8*j + 3*j. Suppose 516 - 2604 = -j*x. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/5)*q\/(q*q\/(q**(-2\/11)\/q*q))*((q*(q\/q**(-22))\/q*q)\/q)\/(q**6\/q))**(-1\/3) assuming q is positive.\nAnswer: q**(-334\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5908010 divided by -230?\nAnswer: 25687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12870 = 2137*x - 2132*x, -2*x - 3*j = -5141. Put -2, -3, x in decreasing order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 divided by 3?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 7b4?\nAnswer: -7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -242*k - 2178. Let r be y(-9). Suppose -2*z - 2*z = -12. Sort z, -4, r in descending order.\nAnswer: z, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -3.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1834*n**2 - 19*n - 1. Let h be m(4). Let a = -17160 + h. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25900 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let r be (30\/25)\/((-4)\/(-30)). Let s(z) = z**2 - 10*z + 10. Let u be s(r). What is the closest to u in -0.5, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let n(z) = -229*z - 2. Give v(n(k)).\nAnswer: -104882*k**2 - 1832*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233 - -326. Suppose 3*p + 0*p = 0. Suppose -4*o + o + b = p. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 88.95. Sort p, 5, -0.2 in descending order.\nAnswer: 5, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3630, -3625, -3620, -3615, -3610?\n\"Answer: 5*l - 3635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 3*r**2 - 2*r**2 + r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 - (-165)\/35. Let z(l) = l - 2. Let p be z(q). Let i = p - -3. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 3344*h - 43191. Give u(13).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.35607045 - -0.0032.\nAnswer: -1.35287045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2, -44\/25, 3, 5\/4 in increasing order.\nAnswer: -2, -44\/25, 1\/5, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204) - 1*sqrt(204)*-2 - 3*(sqrt(204) - sqrt(204)*-2)))\/(2*sqrt(300)*-3 + sqrt(300) - -2*(sqrt(300) + 2*sqrt(300) + sqrt(300))) + 3.\nAnswer: 3 + 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 2. What is w(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 16833 - 16248 + 33081 + 4*f - 10*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 5*d**3\/4 - 11*d**2\/4 - 33*d\/4 - 9\/2.\nAnswer: (d - 3)*(d + 1)**2*(d + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1052*h + 9 = 1053*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 6:29 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 8. Let q be c(6). Let k(l) = 3*l - 6*l - 3 + 3*l + q*l. What is the units digit of k(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - b**2 + 0*b**2 + 2*b**3 + (30*b**2 - 5*b**2 - 18*b**2)*(-2*b - b + 4*b) in the form l*b + w*b**2 + z + y*b**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 60 = -5*x. What is the derivative of -1 - 9*j - x*j + 43*j**3 + 24*j wrt j?\nAnswer: 129*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + f - 31 = 0, 21 = -3*p - 8356*f + 8359*f for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 - 9*n - 2. Let a be u(4). Solve r + 0*r - 4*k - 21 = 0, -3*k = 5*r + a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*x**2 + 33 - 33)*(-4*x**2 + 4*x**2 - 2*x**2).\nAnswer: 94*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 71212?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 2. Let m = 21 + -18. Let d be u(m). Let q be -2 - d\/(21\/24). Are -9 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*i - i = 12, 2*i + 9 = 3*y. Let j be (6\/(-4))\/((-9)\/y). Let u = 15 - 11. What is the third biggest value in j, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:24 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2178) - (sqrt(2178) - (sqrt(2178) + sqrt(2178)*-3)))**2.\nAnswer: -43560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 663. Let m = h + 531. Suppose 0*j - 3*j = 5*p - 1269, m = 4*p - 3*j. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 4*m - 1. Let r be x(5). Let i be 240\/(1\/((-56)\/r)). Round i to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/5 - 368*i**3 + 191142*i**2 - 570844*i + 1900352\/5 = 0. What is i?\nAnswer: -1291, 1, 2, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 + 26. Let l = -717\/4 - p. Let u = 271\/1846 - -1\/142. Which is the second smallest value? (a) l (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebdtebdpy. Give prob of sequence dpdy.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(833) + -2 + sqrt(833) + 4 + -5)**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 25 = o. Let b be (o - 10)*2\/(-4). Let d(m) = 3*m - 2. Let l(z) = 15*z - 10. Determine b*l(p) + 11*d(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 11*r - 2*r**2 - 26*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 74. Let w be (-875)\/(-6) - (-1)\/6. Suppose -w = -3*f - u. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m**14*m)\/m)\/m*m))\/(m\/(m\/m**21)) assuming m is positive.\nAnswer: m**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372350?\nAnswer: 2, 5, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -81716963, 3\/4 in descending order.\nAnswer: 3\/4, 0, -81716963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/2 - 195*m**3 + 735*m**2\/2 + 7975*m - 8148 = 0.\nAnswer: -6, 1, 7, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 599*n - 98. Let a(c) = 59*c. Calculate a(w(v)).\nAnswer: 35341*v - 5782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -5 (c) -0.4 (d) -5786\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 16*x - 32. Let j(m) = -m**2 + 6*m + 21. Let n be j(x). Solve 3*k + 0*v - 13 = -n*v, -7 = 3*k - 5*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*q**3 - 263454*g**3*q + 3*g**3 - 23*g**2*q**3 - 27*g**2 + 592*q**2 + 1 wrt g?\nAnswer: 12*q**3 - 1580724*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 26*j**2 - 71*j - 366. Give d(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 705562, 1411126, 2116690, 2822254, 3527818, 4233382?\n\"Answer: 705564*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*r + 53. Calculate the remainder when (-4)\/(-12) - 465\/(-9) is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152875 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2533 + -2?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/59, 24.1, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16433508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) 0.3 (c) 0.2 (d) -1 (e) -3\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -118. Calculate the remainder when 38 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 34 - (691 - 606) - -22\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172083?\nAnswer: 3, 19, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 806 - 876 = 0. Put -5, l, -470 in increasing order.\nAnswer: -470, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from {s: 2, p: 1, c: 14}?\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let u(y) be the second derivative of 0*y**2 - 1\/12*y**4 + 0*y**3 + 0 - 2*y. Give d(u(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 36. Let j(p) = 2*p**2 - 6*p + 6. Let s(f) = 10*f**2 - 28*f + 28. Let u(q) = -14*j(q) + 3*s(q). Give x(u(h)).\nAnswer: -8*h**4 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(-1008)\/1176\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 4 - 4)*(-4*m + 3*m - m) + (-2*m - 2*m + 5*m)*(46*m - 100*m - 17*m).\nAnswer: -75*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -0.30426228?\nAnswer: 0.10426228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 31. Let v = r - -100\/3. Factor -3 - v*h**2 - 2*h.\nAnswer: -(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185168?\nAnswer: 2, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4 + 16. Calculate the lowest common multiple of (9\/(-15)*12)\/(4\/(-10)) and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - 5028\/(-10)) + 69\/345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20403 + -20409. Suppose 0 = -0*h - 3*h + 12. Suppose 0 = x + h*x + 15. Which is bigger: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.75338 + -3\nAnswer: 2.75338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4540061ns in seconds?\nAnswer: 0.0000000004540061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 4*i - 3. Let x = 61 + -55. Suppose -1 = -4*z - 3*w - 9, -w + x = -3*z. Calculate u(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2670, -1\/9, -4\/13, 0.07, 0?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 668890028 at least 668890028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6579, 26338, 59265, 105360?\nAnswer: 164623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/10)\/r)\/(r\/r**(-10)) assuming r is positive.\nAnswer: r**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.84 - 1.69. Let x = i + -4. Let b = x - -4.85. What is the biggest value in -1\/5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b323 (base 13) in base 10?\nAnswer: 81825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**3 + 2*v**2 - 10*v + 4. Let a(l) = -5*l**3 - 2*l**2 + 9*l - 3. Let w(i) = -4*a(i) - 3*d(i). Factor w(k).\nAnswer: 2*k*(k + 1)*(4*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**3\/3 + 47*s**2\/3 + 2*s = 0.\nAnswer: -1\/8, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018020708 rounded to 5 decimal places?\nAnswer: -0.01802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l*l\/((l*(l*l\/l**(1\/5))\/l)\/l*l))\/l)))\/l**9*l**(-7)\/(l**0*l)*(l**(-5)*(l*(l*(l*l**(-1\/3))\/l)\/l)\/l)**(-2) assuming l is positive.\nAnswer: l**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -137*s**2 + 121*s + 468. What is t(6)?\nAnswer: -3738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*a - 5*a**3 - 166*a - 163*a - 169*a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v + 14*v**2 - 16*v - 4*v + 4 + v = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106153141.\nAnswer: 41, 2589101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.205489429?\nAnswer: 1.027447145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*i + 70 + 36 + 34 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-12)\/(-20)*(-5)\/(-63).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6172917115 to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.24672 and 15.6813827?\nAnswer: 22.9281027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyoomkokkkkmooo. Give prob of sequence mk.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223121*o**5 - 1130*o + 478?\nAnswer: -4462420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 5 + (-10 - (7 - 28))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9075.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94919 is divided by 879?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 5*o - 20942 + 20942, 26 = -2*t - 11*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y*y*y*y\/y**11*y)\/y))\/y))**(3\/14) assuming y is positive.\nAnswer: y**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*f + 30, 14*q = 18*q + 6*f + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -119, -16608 in descending order.\nAnswer: -9, -119, -16608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054 = 6*l + 40. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j - 2*j**2 + 0*j**3 - 1\/210*j**5 - 41 + 0*j**4. Solve s(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 123 = 123. Find i such that -2\/7*i**5 + 2\/7*i**3 - 2\/7*i**2 + z*i + 2\/7*i**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/30 + u**2 + 3*u. Let h(x) be the first derivative of m(x). Let k(z) = -2*z**2. Give h(k(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111502329 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.51 and 167.5.\nAnswer: -1090.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006017829 to seven dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-4 + 5)) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvvvvbvvvbbbb. Give prob of picking 3 b.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let o(s) = -2*s. Let i(b) = -3*o(b) - 4*p(b). Let d(y) = -345*y. Calculate i(d(v)).\nAnswer: -690*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2. Let f = -243 - -249. Let l(g) = 20*g. Let h(n) = 21*n. Let o(p) = f*l(p) - 5*h(p). Calculate d(o(a)).\nAnswer: 225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:06 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4ab80 (base 14) to base 12.\nAnswer: -2061924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 2. Let s(y) = 14*y + 12. Let c(b) = -6*d(b) - s(b). Let f(n) = -2*n. Calculate -6*c(r) + 4*f(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 5, -392?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (816\/(-476))\/((-3)\/(-14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100001011 (base 2) in base 12?\nAnswer: -8b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 + 37. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 69, 145, 251, 387?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 + 6168*o**3 - 129195*o**2 + 664016*o - 860580 = 0. Calculate o.\nAnswer: 2, 5, 14, 6147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*b - 5, -b - 4*j = 2*b - 3. Let g(t) = 2*t**3 + b + 2*t + 5*t**3 - 3*t**2 - 10*t**3. Determine g(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316472.\nAnswer: 2, 13, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244\/5 + -49. Which is the third biggest value? (a) -5 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 15, 0, 2.45, -5\/3?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c**2 - 9*c - 9. Let n(j) = -6*j**2 + 4*j + 4. Let l(i) = -9*n(i) - 4*w(i). Let t(p) = -2*p. Give l(t(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200 + 211. What is the highest common divisor of 33 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211402400 (base 5) in base 10?\nAnswer: -887850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 7:26 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 6*s + 1. Let c be w(6). Is 0 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 8*c + 5. Let k be g(-8). Let i(d) = d**2 - 4*d - 2. Let w(t) = -4*t**3 + t**2. Let j be w(-1). Let n be i(j). Solve -n*l - k = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**2 - 2*n + 8*n - 11*n**2 + 3 - 2*n. Give k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/66 + 16*u**3\/33 + 191*u. Determine c, given that k(c) = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/((-110)\/8) - (-4392)\/40. Calculate the highest common factor of 1199 and a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(2*s**2 - 2*s**2 - s**2)*(11*s + 187 - 190 - 57*s) to g*s**2 + j*s**3 + p + k*s and give j.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 4*g**2 + g + 3. Let l be s(4). Suppose 2*x = l*x - 50. Is 20 a factor of 15\/(33\/x - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 12*w**2 + 7*w + 9. Determine z(12).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 10*x - 300. Solve -2*d - 3*d = -x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-432)\/(-160)*-4)\/((-4)\/(-10)). What is the closest to 2 in 0, j, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2563 - 2539. Calculate the highest common divisor of 984 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*j, 2*h + 4*j - 3 = -7. Let v be ((-8)\/14)\/(516\/(-84) + h). Solve 8*u - 4*u = -v*a, 0 = -4*a + 5*u - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.5 - -12. Let l = s + 3. Which is the smallest value? (a) l (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -317 - -312. Let h(q) = -q + 1. Let a(n) = -3*n**2 + 6*n - 5. Give y*h(d) - a(d).\nAnswer: 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*n + 2. Let i(p) = -108*p**3 - p**2 - p - 1. List the prime factors of i(n).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -30*r - 98. Let q be v(-5). Suppose 0 = q*p - 56*p + 12. Solve 0 = -n - p*j - 8, 3*j + 13 = 2*n - 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017039287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7. Let t(b) = -b**3 - 3*b**2 - 2*b + 2. Let k be t(-2). Solve 4*l - 16 = z, -k*l = -2*i - 0*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-3990)*45\/(-18).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235292*j**2 + 235308*j + 16 = 0. Calculate j.\nAnswer: -1, -4\/58823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2 = 4*h, h + 5*j - 22 = 5*h. List the prime factors of 17 - (3\/(-3) - h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0.1, 3.\nAnswer: 0.1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from pjpmfmmpfpfmpm?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0818 and -87542.\nAnswer: 7160.9356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/20*(-5)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13901 divided by -6.\nAnswer: 13901\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w**2. Suppose -5*d + 65 = -0*d. Let v = -8 + d. Calculate the remainder when h(-1) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/356 and 69\/10?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 27*l - 3. Suppose -4*z - 11 = -b, -3 = -4*b - 5*z - 1. What is the units digit of o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - -4 - (-1390 - -1385).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 25 = -5*w. Suppose w - 15 = -5*u. Suppose p + r = u - 0, 4 = 2*p - 3*r. Is 4\/5 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004367 rounded to 7 decimal places?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 10*n**2 - 7 - n - 2*n. Is c(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -22 + 0 + -45?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 7*d + 9. Let n(c) = c**2 - 3*c + 3. What is the remainder when n(-5) is divided by o(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.477337 + -8.5226625. Let c = -4.6 + -4.4. Let z = l - c. What is z rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0436 minus 0.3?\nAnswer: -0.2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 + 10712*w**4 - 11020*w**3 - 1638400*w**2 + 4511738*w + 6128408 = 0. What is w?\nAnswer: -5357, -13, -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 116.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36844 and 7097?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 10, -10, 4, 2, -5 in descending order.\nAnswer: 10, 4, 2, -5, -10, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/340 and -19\/25.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1865933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 69. Let q = p - 16.91. Which is the third biggest value? (a) q (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpioooog. What is prob of picking 1 g, 1 p, and 2 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 3*j. Let t = j - 0. Suppose -x + 4*c + 23 = t, 5*x - 2*c = -c + 20. Which is greater: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - 9*p + 9. Let q be s(6). Suppose -15*j = -473 + 1238. Let u = q + j. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491753947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9 = 2*f, -5*f + 2*f - 15 = -2*i. Let r(p) = -9*p**3 + 3*p**2 - 4*p - 3. Let j be r(f). Suppose -c = -j - 112. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.111 + -8.011. Let t = 8 + b. Let g = -2.18 + 1.18. What is the closest to g in 1\/2, 1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1537*f - 36889. Give r(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0 + 6. Suppose -d - 14 = -o*d. Solve -4*h + 13 = -d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/579586765?\nAnswer: 4\/579586765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*g - 0*p - p, -5 = -3*g + 5*p. Suppose g = -5*s + m + 66, 2*m - 5*m = -4*s + 44. What is the greatest common divisor of 126 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -18*j + 77 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i - 241. Let x(q) = 26*q + 744. Let n(v) = 10*g(v) + 3*x(v). Let o(z) = -5*z**2. Determine o(n(k)).\nAnswer: -20*k**2 - 3560*k - 158420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80425 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/63*-1*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(1080) + sqrt(1080) + sqrt(1080)*-1 + sqrt(1080)))\/(-1*-2*sqrt(1000))*-4.\nAnswer: -288*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908 a factor of 85609984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -3. Let h(v) = -146*v - 34. Let f(t) = 179*t + 33. Let s(i) = 3*f(i) + 4*h(i). What is the units digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*3 + 1 + -2. Let l(d) = -28*d**2 - 2 - 6*d + 30*d**2 + 4*d**3 - 3*d**3 + 1. Give l(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12686327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -978*s**4 + 7*s**3 + 957*s - 11?\nAnswer: -11736*s**2 + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*s - 1429*s - 1607*s.\nAnswer: -3451*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = 0, j = -r - 0 + 2. Which is greater: -4\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r**2 + 438885*r. Let f(c) = 4*c. Determine z(f(q)).\nAnswer: 144*q**2 + 1755540*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l + 8. Let q(b) = b - 2*b - 6*b - 7. Let a be (-456)\/120 - ((-72)\/(-160) - 3\/12). Let m(i) = a*q(i) - 3*j(i). Determine m(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2844270\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 75. Determine j(-25).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/11 and 5913\/621*(-2)\/18?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38082162601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) 6 (d) -1 (e) -1.121 (f) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178473, -356935, -535381, -713805, -892201, -1070563?\nAnswer: -1248885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b - 450. Let a be x(37). Do a and -242\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1054)\/465)\/(-34))\/((-21)\/9).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.6387l in millilitres?\nAnswer: 450638.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 3*l - 11, 19*l = 4*n + 14*l - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 653650946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 197 divided by -1822\nAnswer: -197\/1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157296?\nAnswer: 2, 3, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from {x: 6, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 248 = 2*z - 116, 0 = z - 3*m - 179. Suppose 0 = -2*k - w + 156, 5*w = 5*k - z - 235. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12081235295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 64*u**3 - u**4 + 2*u**4 + 69*u**3 - 2*u in the form n*u**3 + a*u**4 + m + p*u**2 + r*u and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 6 + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(70\/(-48)) + 10\/(-25)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) -3 (c) 2406\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynjy when four letters picked without replacement from {h: 1, v: 1, j: 4, g: 2, n: 1, y: 11}.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/15 - (-56)\/10. Suppose 2*n = 4*f - 4 + 2, 0 = g*n + 2*f - 43. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 2*q + 114. Solve 10*a + 4 = 5*a - 2*p, 5*p = 2*a + q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 3*j + 5. Suppose 0 = 4*d + 16, -f = 3*f + d - 16. Calculate the remainder when (3 + -2)*(1 - -28) is divided by n(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 10:03 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -510*p - 2. Let g(c) = -238950*c. Give g(x(z)).\nAnswer: 121864500*z + 477900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130056*j**3*o**2 + j**2*o**2 - 3*j**2*o + 48*j**2 + 2*j + 402*o wrt j.\nAnswer: -780336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgl when three letters picked without replacement from {g: 5, m: 3, z: 1, i: 4, l: 1, p: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-939 - 109*f**2 + 939)*(-365 + 134*f + 222 - 130*f) to z*f**2 + w*f**3 + t*f + v and give z.\nAnswer: 15587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Suppose -f*c = 4*l + 27, 0 = 2*c + 6. List the prime factors of (l\/(-6) + -1)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/15312720 and 33\/5740.\nAnswer: 4394750640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*j + 40, -4*j + 21 - 9 = -4*v. Suppose -r + q + 2*q = -4, 4*r - 7 = 3*q. Let y = r - v. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let b(g) = 6*g - 62. Let u be b(-9). Let h be (-5 - u\/20)\/(4\/10). Let x(s) = -57*s**2 + 22*s**h - 21*s**2. Give d(x(v)).\nAnswer: 112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 + -152. Put 4, b, 5, 1 in descending order.\nAnswer: 5, 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -9\/8, -78, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 3.38?\nAnswer: 13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68266292 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from ddcddkssddcd?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21307014 is divided by 14300?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 33087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1531090*p**3 + 61*p**2 - 11682?\nAnswer: 9186540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -418*d + 164703. Give h(394).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 + (-6 - 448\/(-24)). Suppose -i = -q - 8. Solve -12 = q*x - 32 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055570 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0) + (-18 - -26). Suppose -4*o + 33 = -3*c, -5*o + c - l = -39. Solve 4*y = -2*r - o, 5*r + 2 = 3*y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29348*m**3 - 1018747*m.\nAnswer: -176088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55488 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 + 104.2782?\nAnswer: -318.7218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -206. Let l = 257 + a. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7149972 by -134.\nAnswer: 53358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -4.98. Let a = 271 - 275. Let n = o - a. Sort 2\/9, n, 0 in descending order.\nAnswer: 2\/9, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 63. Calculate h(28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201.865 - 201. Let m = 0.055 + b. What is m rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139.6 - 127. Let u = -8.8 + v. Let s = -1.03 - -0.03. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 1. Let b(l) be the first derivative of 9*l**4\/4 + 2*l**3\/3 + 7*l + 903. What is b(m) + 6*r(m)?\nAnswer: 3*m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29939.\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/95 + (-2890)\/323 - (-4)\/6. Which is the fourth smallest value? (a) 4\/5 (b) 4 (c) 0.3 (d) y (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-123 + 123 - 227*d)*(-5 + 7 + 4)*(1 + 0 - 3) to t + i*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 362, 357, 352, 347, 342?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9251279 - 9251288.099894. Let b = f + 9.1. What is b rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -19*p**4\/4 - p**2. Let t(z) = -1 - 328793*z**2 + 109595*z**2 + 109603*z**2 + 1 + 109597*z**2. What is t(h(o))?\nAnswer: 25992*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d + 3*r = -238, -5*d + 1130 = 5*r. What is the third derivative of d*f**4 + 4*f**2 - 6*f**2 - 313*f**4 - 15*f wrt f?\nAnswer: -2016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.081911 - 93.781089. Let h = 0.137 - i. Let g = -94.00000063 + h. What is g rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*n = -4*d + 24, 32 = 4*d - 4*n. Let g = 22 + -20. Suppose g*q - 9 = q - 2*m, -d*q + 14 = -3*m. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -11, 1\/6, -1, 0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 2. Suppose -3 = 2*p - 7. Suppose o*g - 134 = p*g. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4*(1 + sqrt(180)))**2 + (sqrt(320) + 1)*4)*6 + -1.\nAnswer: 1344*sqrt(5) + 17398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -33. Suppose -u = 5*g + 6. Is 1209\/13*(-2)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 73 (b) 11 (c) 1 (d) 3\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r. Let z(y) = 5*y - 11. Let i be z(3). Let s(o) = -20*o. Give i*s(b) - 15*v(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 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: Collect the terms in 49*x**3 - 133*x**2 - 51*x**3 + 103*x**2.\nAnswer: -2*x**3 - 30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16\/(-10))\/(8\/(-500))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -22, -19, -12, -1, 14, 33?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65901578.\nAnswer: 2, 23, 53, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 16*b - 78. Let i be (221\/(-34) + 8)*(-40)\/(-3). Let t be u(i). Factor -2*x + 1\/2*x**3 - 4 - 2*x**4 + 5*x**t + 1\/2*x**5.\nAnswer: (x - 2)**3*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1709.82423 rounded to the nearest 10?\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -278904543.\nAnswer: -1394522715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0 (b) -4 (c) 152 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -2)*22\/(-4). Let v(b) = -5*b**2 - 3 + 2*b**3 - 2 + 7*b**3 + 5*b. Let d(a) = -17*a**3 + 9*a**2 - 9*a + 9. Let h(f) = w*v(f) + 6*d(f). What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8396.67 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/17 (b) -6\/11 (c) 186 (d) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.067 - -1.933. Let w be 311\/(-5)*(24 + -23). Let t = -62 - w. Which is the nearest to f? (a) t (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*i + 8, 3*i + 195 = 4*o + 167 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 2:04 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2535976 and 633994?\nAnswer: 2535976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970 - 77 = k - 81*g, -5*k + g + 21 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11134, 22279, 33430, 44587, 55750?\nAnswer: 66919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4760 divided by 2.\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.927 + -0.073. Which is the third smallest value? (a) -1\/3 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8719745.\nAnswer: 5, 401, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 11*y - 19. Let x be m(-6). Let u(p) = -3*p**2 - 6*p - 5. Let l be u(-5). Let w = x - l. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253 + -25?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)\/((3 + -4)*(-8)\/40). Solve -4*b + 5 = -u*r, 3 + 0 = -3*b - 3*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/940)\/((-24)\/(-90)))\/(45\/60)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 9*y**4 - 5973*y**3 + 3978*y**2 = 0?\nAnswer: 0, 2\/3, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -2502?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -941 in 4, -0.5, 9, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/27 and (-15 + 14896\/992)\/((-476)\/404 - -1)?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f - 13. Let t be z(-6). Suppose 5 = -5*x + 2*w, 3*x + 0*w = 4*w + t. What is the remainder when (-264)\/(-32)*(-32)\/x is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4536 divided by 3.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffkvyyekfjff. Give prob of sequence yvye.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m - 22*m + 0*m + 53*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from wabbeveabewbage.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/16 and -3\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749045 is divided by 3146.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243\/4, -14, -5, -30.\nAnswer: -30, -14, -5, 243\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*f**3 + 35*f**3 - 219*f**3 - 28*f**3 + 0*f**3.\nAnswer: -278*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2086115522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51226 = -24*g - 18154. What is the highest common factor of 78 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65988793169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10740 divided by 5370\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b47 (base 12) to base 4.\nAnswer: 310213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783*n - 770*n = 0. Solve -5*w - 2*g + 5 = n, -3*w + 6*w = -3*g - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*m - 516, -642 = 3*q + m + 132. Let d = 4904\/19 + q. What is the second smallest value in 11, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -5\/5015603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/5)\/(15\/1600). Calculate the highest common factor of 32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d + 19. Suppose -4*a - 76 = -0*a. Is 19 a factor of v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42144343 (base 8) to base 2.\nAnswer: -100010001100100011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/(1 - 0) - 1. Suppose z - v = -z. Suppose -4*f = -4*m + 52, m + 4*f = -m + 20. What is the highest common divisor of m and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20815.1 to the nearest ten.\nAnswer: 20820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 132 + 47 = 0. What is the units digit of (-1)\/(4 + y\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 8836\nAnswer: 883.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -93, 61 in ascending order.\nAnswer: -93, -16, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90088, 180148, 270212, 360280?\nAnswer: 450352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*k + 24489 - 27905 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 19. What is the smallest common multiple of 70 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110010112010 (base 3) in base 7?\nAnswer: -60453423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6944\/952)\/(((-7)\/(-357))\/((-1)\/(-6)))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4487 + 10472. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2533883 - 2*a**2 + 2533883.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 103 + 5. Suppose 19 = q*l + 7. What is the third biggest value in -2\/5, l, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2)\/((-1)\/(-7)). Suppose -m*j = -19*j - 8. Let o = 128 + -123. Solve -j*n = -o*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 12 - 2. Let s be (-3)\/(((-9)\/j)\/(-9)). Let r = s + -18. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550222 (base 8) in base 6?\nAnswer: 3542002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*q - 40. Let b be q\/((-4)\/24*-4). Let v = b - -50. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Let v = 11 - 21\/2. Let q = -250 + 2252\/9. Which is the closest to q? (a) v (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 736*k\/5 + 1050.\nAnswer: -2*(k - 7)*(k + 375)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2152 = 20*d + 712. Solve 0 = -5*b - 47 + d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:25 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3757 is divided by 1118?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 14 = -18. Let y be (-42)\/(-18) + (5\/3 - b). What is the derivative of -4 + 90*j**2 - 5 - y - 67*j**2 wrt j?\nAnswer: 46*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-34)*c)\/c)**(8\/13)\/(c*c\/(c\/(c*c**17))*c*c)**(-47) assuming c is positive.\nAnswer: c**(12559\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 80 - 75 + 5*q**3 + 0*q + 0*q + q in the form d + l*q**3 + a*q**2 + x*q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(1904\/(-459)) + (-5)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 75 - -16c67?\nAnswer: 16cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101010001010 (base 2) to base 15.\nAnswer: -3360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 1 + 6*i + 20 - 24 + 3. Let w(d) = 2*d**2 + 11*d. What is 11*a(u) - 6*w(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -60*h + 64*h. Let b be ((-51)\/9 - -3)*h\/2. Let l(p) = -10*p - p - b*p + 4*p. Let m(r) = -r**2. What is m(l(i))?\nAnswer: -121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:23 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 512140 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: Expand (24 + 28*r**2 - 24 - r)*(8*r + 429 - 11*r - 426).\nAnswer: -84*r**3 + 87*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p**3 + 9*p**2 - 6*p. Let n(q) = 8*q**3 + 10*q**2 + 9 - 7*q - 9. Let o(w) = 6*n(w) - 7*r(w). Find the third derivative of o(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {l: 3, w: 2, g: 1, x: 1, e: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8504609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 363202248*d**3*y**3 - 3*d**2*y**2 - 8243542*d**2 - 8*y**3 wrt d?\nAnswer: 2179213488*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 16 = 4*o. Suppose -o = -5*j + 104. Let m be -6*(-2)\/j*10. Solve 5*i = -h + 3*i + m, -15 = -3*h - 5*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24233*q*z + 2823*q + 689*z - 8814 wrt z?\nAnswer: -24233*q + 689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 13*q**5\/20 + q**2 - 20*q + 14. Let i(w) = 1. Determine 2*i(l) - z(l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2\/9, -17, -0.56758, -0.4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4 + 11*d**3 - 17*d**3 - 3*d**5 + 7*d**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 24 = 0. Let x = -11\/2 + w. Which is the biggest value? (a) -2\/15 (b) -0.4 (c) 0.01 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17899087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -110? (a) -3\/10 (b) 0.6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qchr when four letters picked without replacement from hcrcq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15372 and 488?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2489 - 2896 = 1795*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 18*j - 17. Determine x(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*-3*sqrt(190)*3)\/(5*-2*sqrt(1440)*2).\nAnswer: 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8656954 divided by 2?\nAnswer: -4328477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 11*v**6\/60 + 23*v**4\/24 + 11*v**2. Find the second derivative of m(s) wrt s.\nAnswer: 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**6\/h)\/h*h*h**(-9))\/(h*h\/(h\/(h\/(h\/h**(2\/7)))*h)*h)**(-13) assuming h is positive.\nAnswer: h**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:04 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206882.\nAnswer: 2, 13, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (265\/106)\/(35\/(-20)*-10)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 99*y + 603. Let d be m(-6). Solve -i = -4*k + d*k - 23, -4*i = 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100101 + 101?\nAnswer: -1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3594954*x**3 + 36548909*x wrt x.\nAnswer: 21569724*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 73, 2\/9, -0.61, 3\/5 in increasing order.\nAnswer: -0.61, 2\/9, 3\/5, 12, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, 0, -1\/25 in decreasing order.\nAnswer: 4, 0, -1\/25, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*j - 5. Suppose -j*i - 5 = 94. Let o = -19 - i. What is the smallest common multiple of o and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135 in 1\/2, -2\/9, -0.01, 0.17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 478 - 475. Factor 1\/2*n**5 + 0*n + 3\/2*n**a + 0 + 1\/2*n**2 + 3\/2*n**4.\nAnswer: n**2*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 4*d = 17*l - 592, -3*l + 4*d = -444. Suppose 6*p = -l + 172. Solve 0*j = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.6 - -16. Let c = -0.7 + 0.1. Let x = c + i. Is x greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*f + 200 = -151*f. Let r(t) = t**2 - 9. Give r(f).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -6, 3 in ascending order.\nAnswer: -6, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1746232 centuries to millennia.\nAnswer: 0.01746232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(6\/45). Suppose 4*s + 2*g = -3*g + 5, -s - b*g = -5. Is 6\/7 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 21122120010?\nAnswer: 21122120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.4 - 4.4. Which is the smallest value? (a) 0.2 (b) t (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m. Let n(d) = 2*d. Let l(x) = -x. Let w(c) = -5*l(c) - 2*n(c). What is w(f(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*c - 366 = 0, -4*u + 3*c = -164 - 307. What is the greatest common divisor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/9 + (-2)\/9. Let y be (-57)\/12 - (-3)\/(-12)*-3. Is y\/2 + (41 - u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1415.2914256 + 1415.44. Let l = 5.8513406 + j. Let n = -6 + l. Round n to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(132\/(-263) - (-5)\/10). Is (-9)\/((-36)\/s)*1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/386766 and 137\/773532.\nAnswer: 773532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 229259 and 63.\nAnswer: 14443317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10221, 20445, 30669, 40893, 51117?\nAnswer: 61341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 28 + 14)*(8 - 8 + 2*c**2).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5082)*1 + 4*1*sqrt(42))\/(-2*(sqrt(384) - (3*sqrt(384) + sqrt(384)))).\nAnswer: 5*sqrt(7)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.96 + -1.345. Let h = -0.195 - x. Let o = h - -0.13. What is o rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 11*c**2 + c + 19. Suppose -7 = -5*p + 3. What is the lowest common multiple of p and g(11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 <= 4731016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7872 divided by -2.\nAnswer: 3936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477*s = 235427 - 405282 for s.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(((-36)\/78)\/(60\/(-78)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, g: 4, v: 1, m: 2}. Give prob of sequence gmt.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2002 is divided by 684?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*y - 49*y + x + 41 = 0, 4 + 6 = -5*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.57ml to litres.\nAnswer: 0.28857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3513\/1292 or 2?\nAnswer: 3513\/1292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58515607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/79204796 and 2\/217813189?\nAnswer: 871252756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, g: 1, m: 1, u: 11}. What is prob of sequence aaa?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21848 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/30 + i**2. Let x(s) be the second derivative of s**4\/3 + 54*s - 3. Calculate t(x(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -9. Suppose -3 = -u + n. Solve 5*v + 2 = -6*x + u*x, -5*x = -4*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013444987 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11548 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 847088266 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 50 = -4*k, 0*z - 2*k = -4*z + 94. Let g be -5 + (-4284)\/(-56)*4\/6. Calculate the highest common divisor of g and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 32397*n**2 - 5*n - 1. Is l(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*p**3 + 165*p**3 + 18*p**3.\nAnswer: 266*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) - (38 + -37). Let a = 5 - 3. Solve -2*k + 2 + a = x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiwiiiiw?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*b**4 - 15*b**4 + 11*b**4)*(-214*b - 156*b + 2215*b + 145*b + 1327*b + 1283*b).\nAnswer: 78200*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + o**3 - o**3)*(-94 + 146 - 89)*(-38 + 32 - 58 - 16).\nAnswer: -2960*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfsssdssssssy. Give prob of sequence yfs.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11495? (a) 216 (b) -2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Let v(t) = 61*t**2 + 56*t - 19. Calculate v(a(i)).\nAnswer: 244*i**2 - 112*i - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from whmyugu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 + -105. Suppose 4*l - 195 = c. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -22*r + 465. Suppose -1383 = -r*u + 8953. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9 + 1))*(-15 + 16)\/7.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:58 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(567) - (sqrt(567) - (sqrt(567) + 3 + -1*sqrt(567))))**2 - sqrt(567)) + 0 - sqrt(14)\/(-1*sqrt(18) - sqrt(18) - sqrt(2))*-4).\nAnswer: -201*sqrt(7)\/7 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 21*f + 47. Is t(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 14*i**2 + 27*i + 30. Let g be d(-12). Is -4 - 9430*(0 + g\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13022 divided by -10.\nAnswer: 6511\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 41118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 41, 82, 145, 236, 361, 526, 737?\n\"Answer: c**3 + 2*c**2 + 12*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87698994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-16))\/((20\/(-24))\/5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 264415.4 smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) -2 (d) 4 (e) 1339\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (300\/110)\/(4655\/5852)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 - 12874*n\/11 + 12876\/11.\nAnswer: -2*(n - 1)*(n + 6438)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -72*d + 301. Calculate i(9).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5252 - 7423. Let o = z - -2150.07. What is o rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598 is divided by 542?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/6))**(-1\/36)*z\/z**(5\/4)*z**10 assuming z is positive.\nAnswer: z**(2101\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 711.39 - 711. Let v = -64 + 61. Which is the third biggest value? (a) v (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 4. Let d = -5 + 5. Let m be f(d). Suppose m = -5*a - 21. Sort a, 5, 2 in descending order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4.9347.\nAnswer: -14.8041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 480.01 - 482. Let h = -0.01 + g. Suppose 14*k - 5*k = 36. What is the third biggest value in -1\/3, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -245*q**5 + 2*q**4 + 51*q**2 - 2?\nAnswer: -14700*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 230178070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*g + 102*g + 287*g = 560 + 4896 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i - 1. Let z be f(1). Let n(y) = y**3 + 13*y**2 + 7*y - 11. Let r be n(-13). Let a = z - r. Calculate the remainder when a is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*d = -147*d + 405 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(512) + (sqrt(24)\/sqrt(3))**2).\nAnswer: -64*sqrt(2) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3 - 1. Suppose u*y = 3*y + 4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 825239, 825242, 825245, 825248, 825251?\nAnswer: 825254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 125, 195?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 4)\/(3\/(-1)). Suppose -3*f + 45 = -n*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 3. Let b(o) = 5*o**2 + o. Let p be b(-1). What is the least common multiple of ((0 - -2) + 2)*p and v(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = 0, -3*l - y = -106 + 2. Suppose 2 = -4*g + l. Solve -23 + g = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2747*l**5 + l**3 - l**2 + 5*l + 290 wrt l.\nAnswer: 54940*l**3 + 6*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1089, 1082, 1069, 1044, 1001, 934, 837?\n\"Answer: -u**3 + 3*u**2 - 9*u + 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32 + -3a19?\nAnswer: -39b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Differentiate -1 - r - p**3 + 5*p**3 + 2 wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 90754065 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + p - 2*p - 6 = 0, o = -2*p + 3. Let x be (-3)\/((1310\/436 + o)*2). Let l = 1690 - x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 9*b - 7. Let y be i(-10). Suppose y*m + 125 = 5*a, -m + 0*m + 75 = 3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -5*a**3\/3 + 318. Let r(f) = 8*f + 2. Give b(r(u)).\nAnswer: -320*u**2 - 160*u - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 - n**2 - 10)*(-304*n**2 + 712*n**2 - 259*n**2).\nAnswer: -298*n**4 - 1490*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g - 13 = 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.52 + 3.48. Let p = -0.6 + 0.1. Which is the second biggest value? (a) p (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184716989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950 = -21*a + 2*a. Calculate the greatest common factor of a and 950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, k: 5}. What is prob of sequence ddkk?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 4407*b**7\/7 + 2*b**3 + 1031*b**2\/2 + 502. Find the third derivative of w(m) wrt m.\nAnswer: 528840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/2 + 10. Which is smaller: h or 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 + 154. Suppose 5*f = -2*n + 4*n + k, -2*n = 3*f - 46. Let s(a) = f - 2*a - 14. Let l(q) = -8*q. Calculate l(s(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (2 + -27) - 36?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:10 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 656.7126l?\nAnswer: 656712.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 + 57029472*h**2 + 114058956*h + 57029480 = 0. What is h?\nAnswer: -1, 14257370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43 - 68 + 35 + 10*o + 20 + 635*o**5 wrt o.\nAnswer: 12700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 76.54.\nAnswer: 66.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 331\/5 - 3787\/60. Let z be 1\/3 - (-6)\/9. Find the common denominator of n and z\/3 - 574\/(-132).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50d17ab - 0?\nAnswer: -50d17ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 979 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -198*a - 12. Let n be j(-4). Suppose 41*s = 53*s + n. Sort -4, 0, s in ascending order.\nAnswer: s, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**2 + 6*y - 6. Let j(c) = -7*c**2 + 5*c - 5. Let g(r) = -6*j(r) + 5*s(r). Let u(a) = 2*a - a + 3*a. Calculate u(g(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/f**(-1\/12))*f)*f*f**(8\/3)*(f*f**(-18))**(-2\/25))**35 assuming f is positive.\nAnswer: f**(2877\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 12932403.\nAnswer: 25864806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/25)*(f**(-7)\/f)\/f*(f**(27\/5))**(7\/5) assuming f is positive.\nAnswer: f**(-37\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a - 20. Let d be m(8). Suppose -268 = -j - 2*p, -d*p + p + 15 = 0. Is 29 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 772 = -4*r, 2*r = u - 2*r - 392. What are the prime factors of u?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x + 88. What is f(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4509 and 4008.\nAnswer: 36072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -b - 4*o, 14*b - 13*b + 3*o + 22 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6*0*1. Let o be r*4\/(-24)*-3. Suppose o = -5*x + 10, -346 + 1101 = 5*b - 5*x. Calculate the greatest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*c**2 - 233*c**3 + 302*c**2 - 908*c**2 - 1982*c**3 + 303*c**2.\nAnswer: -2215*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.108 + -0.008. Let s = 69 - 72. Let m be (-6 - (-4 - -4))*-1. Sort s, u, 5, m in ascending order.\nAnswer: s, u, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-525)\/(-10)) - 205839\/(-189) - 5.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, e: 9}. Give prob of sequence iiei.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -269*u**2 + 125*u**2 - 51*u**2. Let x(f) = -6*f. Calculate x(i(y)).\nAnswer: 1170*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 21*x + 900. Calculate h(-40).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i**5 - 856*i**4 - 14784*i**3 + 10240*i**2 = 0. Calculate i.\nAnswer: -40, -32, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 122083 divided by 725\nAnswer: 122083\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -44 - (201 + -224) - -6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1330814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose 5*r - 3*x = 3, -r + w*x = 4*r - 7. Let v(c) = 2 - r*c + 4*c + 0*c. Calculate v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y + 24*y + 52*y + 3740 = -99*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-1040)\/1056)*((35 - 19) + -17).\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -15.00000504. Round n to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 6) in base 16?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -940 divided by -3\nAnswer: 940\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*k - 680, 3*k - 153*i - 1020 = -150*i. Calculate the highest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 436410.\nAnswer: -31\/218205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 28*g**2 - 2*g - 6. Let p(x) = -3*x**3 + 27*x**2 - 2*x - 5. Determine 5*f(o) - 6*p(o).\nAnswer: 3*o**3 - 22*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*a - a. Suppose -a = -f + 4*f - 2*v, v - 7 = -4*f. Let x(g) = f + 5*g - 6*g + 2*g. Give x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 3*s**2 - 5*s + 2. Let x be o(-4). Solve -2 = -2*k + x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 29 + 6 = 0. Suppose o*p = -38 - 25. Let g(a) = -9*a + 29. What are the prime factors of g(p)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/28)\/((-6)\/21). Let k = -26.483 + 26.383. Let z = 8.7 + -9. Sort -1\/2, z, k, d in ascending order.\nAnswer: -1\/2, z, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*a + 46*a + 8*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3 + 10\/3). Let b = j + 202. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.37 - 0.07. Let x(f) = f**2 + 2*f + 3. Let q be x(-2). Suppose 0 = r - q - 2. What is the nearest to -1\/2 in v, -2, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + -4.11. What is the second smallest value in 0.3, -3\/2, f, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -21*q - 58. Let n be p(-7). Let a = -85 + n. Let f = 4 - 8. Sort f, 0, a.\nAnswer: f, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -532, -1192, -2122, -3322, -4792?\nAnswer: -6532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*i + 32*i + 75*i.\nAnswer: 514*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let c(a) = a - 5. Let x be c(5). Let j be (x + 3)*1 - 0. Put q, j, 2 in decreasing order.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 1\/2, -3\/5, -1\/3, -2\/3 in ascending order.\nAnswer: -151, -2\/3, -3\/5, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -1 - -8 - (-4 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -494 (b) -173 (c) -1\/4 (d) -0.11 (e) 44 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1667 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -25581?\nAnswer: 13\/25581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let l(g) = -5*g - 4. What is l(f) + 5*r(f)?\nAnswer: -10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 106058 (base 9) to base 14\nAnswer: 191c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 12\/(-180) + (-2)\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -4 + 1106\/126. Is 5 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -277, -609, -965, -1357, -1797?\n\"Answer: -2*i**3 - 318*i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2 - 2*v**2 - v + 33*v**3 - 4 - 2 + 2 - 34*v**3. Let i be (-2)\/4 - (-6)\/(-4). Let y be f(i). Solve y = -5*z - 0*r + 3*r + 11, 14 = 2*z + 2*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1184 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10575 a multiple of 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 208*h - 273. Let i(k) = 2. Let q(t) = 78*i(t) + l(t). Let n(z) = -69*z + 39. Let o(p) = -13*n(p) - 4*q(p). Find the first derivative of o(j) wrt j.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000634 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Let l = 1 + -2. Let x = 0.6 + -0.5. Which is the closest to x? (a) l (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253947 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -490931.642 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s**2 + s + 3*s**3 - 45*s**2 - 4 - 11*s**2 + 2*s**2 - 3 to the form m*s**2 + t*s**3 + r + j*s and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/(-3128)*26220\/(-60).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 22851 = -3*v - 22856, -2*h - 2*v = -2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - ((-52)\/4 - -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4) + 2\/(13\/2 - 6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udrberrenrdrrdb. What is prob of picking 1 u, 1 d, and 1 e?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + 7. Let n = y - 32.00013. What is n rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2 of a milligram in micrograms?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6713, -6728, -6761, -6818, -6905, -7028, -7193, -7406?\nAnswer: -7673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*p - 24 - 516 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k + k - 5600 = 0. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -12443, 11, 53.\nAnswer: -12443, 0, 2, 11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39502944, 39502941, 39502936, 39502929, 39502920, 39502909?\n\"Answer: -p**2 + 39502945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008280946776 rounded to 6 dps?\nAnswer: -0.000828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 14, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 - 4*a + 1. Let y be u(4). Let p(x) = -2 - y + 1 - 2*x. What are the prime factors of p(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 14 + 77 = h. Let p = -0.09 + -4.91. What is the closest to 0 in -0.2, h, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100011 - 0?\nAnswer: -1010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10128569.\nAnswer: 11, 29, 31751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -13. Solve -5 = 2*l + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/84)\/(4\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86327 or 86320?\nAnswer: 86320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41\/((-410)\/(-60)) + 176317\/17. Let p = 10385 - l. Is 6 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4715074 divided by -98?\nAnswer: 48113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(sqrt(192)*1 + 1) + 4*(sqrt(192) + -1) + 4 + (sqrt(192) - sqrt(192)*-2)) + 4)**2.\nAnswer: 1408*sqrt(3) + 92944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 10*x + 38 = 0, -5*h - 2609 = -4*x - 2644 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59 - -7a?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.3 - 14.4. Suppose -525*s + 517*s = 40. Put -1\/9, s, -0.4, c in decreasing order.\nAnswer: c, -1\/9, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*i, i + 14 = -2*i - 2*g. Let f(n) be the third derivative of n**4\/24 + n**3\/2 - n**2. Calculate the remainder when f(i) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, j: 2, h: 7}. Give prob of sequence dhhd.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/5)*q*q*q**(-4\/17)*(q**(-8\/3)*q*q)\/(q*q*q*q**(-1\/10)*q) assuming q is positive.\nAnswer: q**(-1633\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3921*q + 43135. Give y(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*u**3\/11 + 1716526*u**2\/11 - 89168*u + 140120\/11.\nAnswer: -2*(u - 17515)*(7*u - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 340*n**3 + 11*n**2\/2 + 10*n - 210. Is h(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 295 and 5500570.\nAnswer: 5500570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = 12. Let g = -173.61 - -174. Let k = g - 0.79. Which is the smallest value? (a) -1\/6 (b) m (c) k (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2423330 + -1201?\nAnswer: 2422124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t + 16. Let v(s) = -8*s - 11. Calculate -7*v(d) - 5*z(d).\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -114*l + 1190. Give c(11).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-26)\/((p*(p*p*p**40)\/p)\/p)*(p**(-20))**20)**(-3\/11) assuming p is positive.\nAnswer: p**(1401\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -29\/9, -1\/3, -2, -11\/16, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/16*(-11 + 0 + 3). Let p(a) = 14*a**2 + 7*a - 9. Let f(t) = -13*t**2 - 6*t + 8. What is x*p(b) - 7*f(b)?\nAnswer: 7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 4 + 3*b + 2*b**2 + 3 + 5*b.\nAnswer: 2*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j + (5 - 4 + 0)*(-3 + 5*j + 3))*(1 - 5 - 4).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -4)\/(1\/2*-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvhhhhl. What is prob of sequence vhl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/4 - 387*m**3\/4 + 587*m**2\/2 + 390*m.\nAnswer: -m*(m - 4)*(m + 1)*(m + 390)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/76 + 179\/228. Which is the nearest to -2\/27? (a) -3 (b) m (c) 1\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 times -514?\nAnswer: -1336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 765400 divided by -1075\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 12*d**3 - 2*d**2 + 6*d - 6. Let k be s(1). Let o(n) = -n**2 + 11*n - 14. Determine o(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11477 and 22.\nAnswer: 252494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + 28*f - 15. Let p(s) = -3*s**2 - 14*s + 8. Let a(c) = c**3 - 2*c. Let l be a(2). Let i(h) = l*x(h) + 7*p(h). Does 17 divide i(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x = -32*x - 1. Let o be (x + -3)\/((-3)\/15). Solve 0 = -2*u - 5*v - 10, 0*v = 4*u + v + o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*p - 190 = 0, 4*g + 199 = 5*g + 5*p. Let w = -258020 - -258023. Calculate the lowest common multiple of w and g.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 18*z**2 + 10*z + 55. Is h(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g**3 - 119*g**2 - 248*g - 3. What is h(-2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 3\/5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/12)\/((-2)\/12). Let s be ((-10)\/25)\/((-1)\/n). Suppose 8 = -s*i + 644. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:04 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 375501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 19320 - 19340, -5*j - 61 = -3*b - 0*j for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (67 - 48 - 10 - (-4 + 2 + 57))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(720) + -2))**2 + sqrt(720))*-3.\nAnswer: -34752 + 2268*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 2, v: 1, j: 1, b: 4}. What is prob of sequence bjv?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from qqkvnbgk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/40)\/((-19)\/(912\/(-4))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Which is the closest to 0? (a) 0.01 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*h = -3*p + 169, -4*p - 5*h = 413. Let n = p + 116. What is the least common multiple of n and 23\/3 + 2\/6?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 - -226. Suppose -28*s + k*s = 0. What is d in 6\/19*d**4 + 0 + 2\/19*d**2 - 6\/19*d**3 + s*d - 2\/19*d**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 2*c**5 - c**4 + (-2*c + 2*c + c)*(c**2 - c**2 + c**4) - c**5 - 5*c**5 + 5*c**5 - 1 + 8*c**4.\nAnswer: 2*c**5 + 8*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184023 = 16*c - 184215 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -c5aba92?\nAnswer: -c5aba8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392 + 2*a**3 + 392.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 933225.2kg in milligrams?\nAnswer: 933225200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-8) - 3 - (-9)\/4. Let q = 7 + -10. Sort -1, q, r in descending order.\nAnswer: r, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202211 + 0?\nAnswer: -202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 - 12) - (-6 - 5 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1496 + 1514. Solve -t = -3*d - 6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34.6, 1.76, 22, -4, -47 in descending order.\nAnswer: 34.6, 22, 1.76, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**8\/294 + 8*p**7\/245 + 19*p**6\/140 + 67*p**5\/210 + 13*p**4\/28 + 3*p**3\/7 + 168*p**2. Factor a(g).\nAnswer: 2*(g + 1)**3*(2*g + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 14091.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179 + 77. Let w = 260 - d. Sort w, -0.1, 16 in ascending order.\nAnswer: -0.1, w, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -297100 and -1614?\nAnswer: 479519400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let l(g) = 10*g**2 - g. Let w be l(k). Solve 7*c - 4*c = -3*s - 9, 2*s = c - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*a + 338*a - 59*a = 58*a - 14900 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 at most -258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 71*j**2 + 276*j - 108. What is b(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 667\/852 - -45\/71. Find the common denominator of -1 - ((-16)\/48 + 7\/(-2)) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/20 - 3*f**4\/4 - f**3\/3 - 7*f**2 + 24*f. Let b be t(-9). Let u(w) = w**2 - 2*w - 5. Give u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*c - 16, 0 = w + 4*c + 1 - 2. Let m = 3 - -1. Suppose 4*s - m = n, -3*n + 0 = -2*s + 12. Put n, w, 2 in ascending order.\nAnswer: n, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 13*q - 1. Let i(j) = j**2 - 81*j + 457. Let l be i(75). Give u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 8.7, 1, -0.3, 0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**(1\/6)\/(n**(-2\/3)\/n*n*n\/(n\/n**(1\/4))))\/((n**(-5)*((n*n\/(n**(2\/9)*n))\/n)\/n*n)\/(n**(1\/3)\/n*n**(-2\/5))) assuming n is positive.\nAnswer: n**(5821\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 217754911427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (58 - 25) - (-33 - 17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. What is the smallest value in p, -0.5, 4, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473328 divided by 1?\nAnswer: 473328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5494\/(-670) + (6 - (0 + 1 - 0))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.52, 0.5, -19, -96 in descending order.\nAnswer: 0.5, -0.52, -6, -19, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 5.1 (c) 8 (d) 3 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 26 - ((1 - 17) + 22)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 78. Suppose h = 8*h. Let g be h\/(-1 - -3) + 12. Calculate the greatest common divisor of b and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1324 + -3 + 0)*3\/(-3). Does 13 divide r + 15\/5 + 7 + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -1. Suppose 0 = h - 71 - v. Suppose 2*s - 24 = -2*n, 0*s + 2*n + 24 = 2*s. Calculate the greatest common divisor of h and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13288 = -117*g + 1778*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 22\/25223159 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 2.2. What is the closest to 0.3 in -3, -1\/5, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, a: 5, x: 2}. What is prob of picking 1 a and 3 p?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 838681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 889 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4632.919 - 4637. Let l = -0.081 - j. Let s = -10 - -9.3. Is l equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -119*t - 1561. Calculate h(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54410*u**2 + 48113*u?\nAnswer: -108820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36940*g**3*x**3 + 108*g**3*x**2 + 4*g**3 + 5*g**2*x**3 + 2*g**2*x**2 - 17*g**2 - g*x**3 + 239437*x**2 wrt g.\nAnswer: 221640*x**3 + 648*x**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.401643 kilometers to nanometers.\nAnswer: 6401643000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2. Let h be (-1 - 52\/(-28))\/(4\/28). Let o = 4 - 2. Let t(x) = -5*x**o + 2 - 6*x**2 + x**2 - h*x**2. Determine t(s(p)).\nAnswer: -64*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 6 - 5)*(-3*d + 5*d - 4*d) - d - 1 + 1 + (3*d + 0*d - 2*d)*(-5 + 5 - 1) + d - 2*d - 2*d to p*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26866 * -1000\nAnswer: -26866000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 577811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 441074706 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - g - 4. Let z be (-9)\/(-6) + 5\/(-30). Let l(b) be the first derivative of 2 + b**2 + 7*b - z*b**3. What is -3*l(d) - 5*x(d)?\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 67*q = -138*q + 6138 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9091.999 kilometers?\nAnswer: 9091999000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -260*r**2 - 234*r**2 - 275*r**2 + 3*r**4 + 833*r**2 - 1 as q*r + k*r**2 + x*r**3 + c + g*r**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -14.76?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/8 - 31691*k\/8 - 745843\/4 = 0?\nAnswer: -47, 31738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20028 is divided by 2989?\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 223 = -11*q + 128. Solve 2*g + 16 = -5*c, -q = 3*g - 4*c - 26 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46660193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0124958144 to six decimal places.\nAnswer: -0.012496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 18 = 12*b. Suppose 0 = 2*s + 19 + b. Let z be -2*(s\/4 - -2). Solve z*n - 6 = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/6, 3, 0.2.\nAnswer: -0.5, 1\/6, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n - 2*n**2 + 4*n)*(-3 + 6 - 1) + 9*n**2 + 5*n - 5*n + (0*n**2 - n**2 + 0*n**2)*(-1 + 4 - 6) - n**2 + n**2 + n**2 to a*n + z*n**2 + f and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42887162 times -0.2?\nAnswer: 8577432.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144892669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 5*w + 2*w)*(-w**3 + 3 - 3) + 49*w - 21*w - 28*w - 2422*w**4 to the form u*w + j*w**3 + o + x*w**4 + s*w**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -33*j**2. Let i(p) = -2*p + 27632488*p**2 + 2*p - 27632470*p**2. Determine i(a(w)).\nAnswer: 19602*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 m when four letters picked without replacement from mmbkmmkbkkk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -4 (b) -6 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/13, -2\/7, -18\/5.\nAnswer: -18\/5, -2\/7, -0.1, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.1. Let r be ((-10)\/8875*-5)\/1. Let l = r + -728\/3195. What is the closest to -2\/5 in -1, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -350*j - 126. Let f be t(-10). Suppose 131*h = 138*h - f. Calculate the remainder when h is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 - 7608*r**3 + 411948*r**2 - 4908656*r + 4504320 = 0. What is r?\nAnswer: -1955, 1, 16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16994 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 15*x + 0*x + x**3 + 0*x + 7*x**2 + 0*x**3 = 0 for x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - 560\/(-576)*-9. Let m(t) = 21*t**2 - t + 1. Let u be m(1). Let d = u - y. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgbbb. What is prob of sequence jbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 792428502 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*r - 2*f + 370, 3*r + 222 = 3*f. Which is bigger: -75 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 16) to base 15\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 63 = -21*o + 3*c, 3*c - 9 = -o. Solve 13*l + o = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 9. What is the greatest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110071415, -110071414, -110071413, -110071412?\nAnswer: -110071411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 793 divide 4807166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s + 101. Let k be t(8). Let v(j) = 89*j**2 - 26*j + 4. Is v(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133235584.7 to the nearest one million.\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Let b = -302 - -314. Suppose -l*j - 3561 = -b*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -1\/3*y**6 - 16*y + 0*y**5 + 0*y**2 + 0 - 2\/3*y**4 + 0*y**3. Find the third derivative of w(v) wrt v.\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 0.5, 5, -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397500 divided by -1325.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4145*y = -4179*y - 238 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4945240, 4945235, 4945218, 4945183, 4945124, 4945035?\nAnswer: 4944910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 66. Let f = -18 - a. Let v = 1029 + f. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41473?\nAnswer: 67, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2288 + 44 = 29*a + 175*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1081 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((4\/2)\/(-1)))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3831*h - 9245. Calculate d(-3).\nAnswer: 2248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:00 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*h - 1908, 4*h + 0*h + 756 = 2*y. Suppose 4*b - 2*d = 3*d - y, d - 288 = 3*b. Let k = -47 - b. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -26.9. What is the nearest to h in 7, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224202 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 353 = -3*d + 292, 4*d = -2*q + 862. What is the greatest common factor of d and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/7)*d\/d**(-3)*d*d\/d**(-1\/10)*d\/d**(-1\/6) assuming d is positive.\nAnswer: d**(853\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09414856 minus 15.382?\nAnswer: -15.47614856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-10*c + 3*c + 2*c)*(-9 + 8 - 3) - c + 7 - 7)*(0*c - 2*c + 4*c) to l*c**2 + d*c + k and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10542 (base 6) to base 2\nAnswer: -10111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)\/((-1)\/2). Suppose -7*j + x*j = -145. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*d - 2*b + 7, -3*d + b + 5 = 0. Let f be ((-133)\/(-38))\/(d\/4). Solve -6 = z - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - (-13 + 10)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:55 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0.5, 0.02, -2\/7, 2\/3, 13.\nAnswer: -28, -2\/7, 0.02, 0.5, 2\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(104) + 5*2*sqrt(104) + sqrt(104))*-2)\/(sqrt(200) + -1*sqrt(200) + sqrt(8) - (sqrt(1152) + -4*sqrt(1152))).\nAnswer: -24*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0 + 4. Suppose v + i*v = 0. Solve -3*h - 3 + 0 = v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0 - 61*f**2 + 59*f**2 + 1 - 10. Let d(n) = n**2. Determine p(d(z)).\nAnswer: -2*z**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:59 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 18*a**2 - 7 + 15.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 38 = 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7 - -4) + -52)\/((-1)\/(-4)). Let g be 1584\/v*(106\/(-4) - 1). Find the common denominator of (62\/(-93))\/((-800)\/g) and -57\/4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 12. Suppose t - 4*l + 0*l - 18 = 0, 8 = -4*t - o*l. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 2*w - 6. Let p(b) = b**2 - 2*b. Let s(a) = -h(a) + 5*p(a). Let k be 60\/9 + (-2)\/3. What is s(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 0.39. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598316363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -4. Let p = 5 + t. Suppose 0 = 2*n + p*n - 60. Solve -3*j - n = 3*a, 2*j + 0 = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.0011.\nAnswer: -0.9989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from {g: 9, y: 4, c: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074337 times -8?\nAnswer: 0.594696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107\/2, 4, 3, 2, -2 in increasing order.\nAnswer: -2, 2, 3, 4, 107\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34269.\nAnswer: 3, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110001 + -10111?\nAnswer: 101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1391*z - 22190 + 22190 in the form h*z + c and give h.\nAnswer: 1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2378371 * 0.09\nAnswer: -214053.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 - -572. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r + 18 = 2*u - 77*r, 0 = 4*u - 3*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 40*b + 122\/3.\nAnswer: -2*(b - 1)*(b + 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + t + 4*t)*((-2 - 1 + 4)*(2*t + 2*t - 5*t) + 6*t - 2*t - 2*t - 1 - 3*t + 2*t - 4*t) to the form x*t**2 + h + u*t and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241730101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 - 2*g**2)*(4*g + 3*g - 5*g)*(-4 + 0 + 3 - g).\nAnswer: 4*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 7, m: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160 + 162. Put c, 3, -4 in decreasing order.\nAnswer: 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 47*j - 89. Let w be n(18). Suppose 13*b - 18*b + 632 = 4*d, 5*d - w = 2*b. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (12 + -25 - -13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791270?\nAnswer: 2, 5, 67, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -489 divided by -489?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 6:12 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = -4*n + 3, 3*n - 4*o = 6. Suppose 0 = -n*t, -2 = -z + 4*t + 2. Suppose 2*i = z*i. Solve -2*r = -i + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 605\/154*(-2)\/(-3) and 32\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -21, -45, -81, -129?\n\"Answer: -6*q**2 + 6*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 82464?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:41 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000066917174 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-112) - (-1677)\/(-7098).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1162649319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1018 + -963. Calculate the remainder when 171 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*i**2 - a**2 - 1983*a*i**2 + 2*a*i + 2*i**2 + 695 wrt i?\nAnswer: -4*a**2 - 3966*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-2 - sqrt(68))*-2)\/(sqrt(144)*1 - sqrt(144) - sqrt(144))*2.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2716.1 + 2716. Which is the closest to j? (a) 3\/11 (b) 13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 819.457 - 819. Let j = y - -54.443. Round j to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 283 + 219 = 0. Suppose -z*w = -36*w. Solve -2*b - 2*n = -w*b - 6, 20 = 2*b - 5*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135320 (base 8) to base 10\nAnswer: -47824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 5178228121195.\nAnswer: -5178228121192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 227 and -10?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thtththtthth. What is prob of picking 4 t?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h - 23*h - 58*h)*(-2 + 11 - 1).\nAnswer: -720*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6944480 by 1388896.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - t + 2*t. Let s be q(1). Suppose 4*y + 0*i - 4 = -s*i, 5 = -y - 2*i. Solve 3*r + 18 = -0*x - 3*x, y*r + x + 14 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 163, 216, 269, 322?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-93)\/9 - 1)\/(4\/(-6)). Let s = h - 9. Let p be 0 - -25 - (-4)\/(-4). Calculate the greatest common factor of p and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 3046 + 4*g**2 + 4*g + 10*g**2 - 4*g.\nAnswer: 14*g**2 - 3*g - 3046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. What is the second derivative of 2*q + 4*q + 8*q**o + q wrt q?\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 3. Let s be g(-5). Let n = -43 + s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xxadxdsgdsdgnxd?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1224200111 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 - 8*h**2 + 6*h + 6. Let z(a) = -2*a**3 + 3*a**2 - 2*a - 2. Let n be (8 - 9)*16\/2. What is n*z(m) - 3*g(m)?\nAnswer: m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/6 - 2148005*q**2\/2 + 4296009*q\/2 - 6444013\/6 = 0.\nAnswer: 1, 6444013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21 - -20)\/((-2)\/134).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 4. Let b be j(4). Let i be (-1 + -3)\/(-14 - b). Suppose -2*p - 2*p = 2*c + i, 0 = -c - 4*p + 9. Sort -2, c, 1 in descending order.\nAnswer: 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(2736) - (5 + (sqrt(2736) + sqrt(2736) + -1)**2)).\nAnswer: -10947 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17145738*s**3*x**4 + s**3 + 2*s**2 - 97086*s*x - 16 wrt x?\nAnswer: -205748856*s**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -13*f. Suppose -4*o + d = -d - 4566, 4*o - d - 4563 = f. What is o rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 6438\/(-74)*(4\/(-3) - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 - 17*z - 91. Let g(t) = 14*t**2 - 50*t - 272. Let p(d) = 3*g(d) - 8*n(d). Let p(m) = 0. Calculate m.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35920 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 11*c + 27. Let v be b(8). Suppose v*a = 6 + 6. Suppose 3*r - 2*y - 101 = -0*y, -y + 131 = a*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4899.4, 0.4, -2\/9 in ascending order.\nAnswer: -4899.4, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8*n - 60 = 4*n, -4*l + 4*n = -84. Suppose -3*q + l + 6 = 0. Solve -o = -3*u - q, -2*o + 6*u + 10 = 2*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 - -423. Suppose -3*j + j = u. Let z = -7 - j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 1, 20*i = -3*k + 15*i + 15062. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3 (base 15) to base 5.\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let i(y) = -2*y**2 + 6*y - 2. Let a(u) = u**2. Let t(m) = a(m) - i(m). Let c be 1*-4*-1 - (-50)\/25. Give c*q(z) + t(z).\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 + (-900)\/(-35). Calculate the common denominator of -137\/18 and (872\/(-24))\/(r\/(-3)) + -2.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411, -1614, -3591, -6318, -9771?\nAnswer: -13926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r, -2*y = 3*r - 0 - 2. Let k be (2\/4)\/(y\/(-24)*-2). Suppose 15 = 5*x, x + 1 = -2*s - 0*s. Sort s, -0.1, k in ascending order.\nAnswer: k, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 1078, 1674, 2358, 3160, 4110?\nAnswer: 5238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 3. Let c(g) = -g + 4. Suppose 7*b + 5*f = 2*b + 240, -5*b + 234 = 3*f. Let r = 49 - b. Give r*c(d) + 5*u(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**16*o*o)\/(o\/o**(-8))*o**(2\/25)*o**(1\/6) assuming o is positive.\nAnswer: o**(-3263\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*y - 53. Is (0 - y\/8)*56\/6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -14, -272, 2\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5013 and -7799.953?\nAnswer: 2786.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 3*j)*(2*j**3 - 2*j**3 - j**3)*(-6*j + 0*j + 4*j).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 793098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223105, -223070, -223007, -222904, -222749, -222530, -222235, -221852?\nAnswer: -221369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from mmdmmddeeueedmmmeum.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 284 - 279.08. Let j = z + 0.08. Which is the biggest value? (a) -2\/17 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/24)\/((-3)\/12)*-2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/60, -2, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/24 - 14*z**2 + 40. Let j(a) = -1429*a**2. Give r(j(k)).\nAnswer: -1429*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -559 + 580. What is the remainder when 40 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 3*x + 3*x - 11)*(-6 + 7 - 4)*(-1 + 1 + 5) to r + c*x and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a)**(-4\/13)*(a**0)**(-32) assuming a is positive.\nAnswer: a**(16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 - 84. Let u = a + -44. Let j be u\/(-2)*(-18)\/(-27). Solve -7 = -j*q + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8090 - 8088. Let a(v) = -v**3 + 3*v**2 + 5*v - 1. Let d be a(4). Sort d, 0, w.\nAnswer: 0, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990440 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40710 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10505889949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.716316ng in milligrams?\nAnswer: 0.000008716316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-5))\/((-2)\/4). Let l be (-1)\/4 - 195\/(-300). Suppose -l*x - 2\/5*x**2 + c*x**3 + 2\/5 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 50049*x**3 + 11*x**2 + 11*x - 11. Let b(u) = 12512*u**3 + 3*u**2 + 3*u - 3. Give -11*b(r) + 3*g(r).\nAnswer: 12515*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + y = 3*o - 15, y - 3*o = -15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 18159678.\nAnswer: 72638712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(280\/48 - (6 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14308959 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + -249?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 133 in decreasing order.\nAnswer: 133, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8866375 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -13*o - 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1867*t**3*w**3 - 18411*t**3*w**2 + 4*t**2*w**3 + 5*t**2*w - 233833*t*w**3 + 3*t wrt t?\nAnswer: 11202*w**3 - 110466*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0*v + 4*v - 90*v**2 + v**3 + 97*v**2 - 2. Determine u(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4 and 42\/155?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6870865*m + 4841470 with respect to m.\nAnswer: 6870865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1615? (a) -3\/5 (b) -1 (c) -4 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 + 6*c - 4. Is s(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 - -98. Let w = i + -10. Let g = 52.34 + w. What is g rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -53.9. Let j = f - 6.9. Which is the closest to 9? (a) -0.2 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.5 (c) -1 (d) -579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:02 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = -1, -34 = w - v. What are the prime factors of (-24)\/28 + (-9165)\/w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 13. Let u be q(-7). What is the units digit of 285\/20*16\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -82?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 4*q - 5. Let i(f) = f**2 + 1. Let l be i(-2). Suppose 3*z + 2*z + 5 = 0, 14 = 3*u - l*z. Suppose 0 = u*h + 2*h - 20. Give c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 - -555 - (-6 - 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 2, l: 2, n: 1, r: 1}. Give prob of picking 1 n and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = -26. Suppose -5*k + 9 = -3*d, -4*d = a*k - 0*d - 23. Suppose 0*l + k*l = 42. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 153, 158, 165, 174, 185?\n\"Answer: g**2 + 2*g + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 11*p**6\/120 + p**5\/12 + p**4\/4 - 5*p**3\/3 - 38*p**2. List the prime factors of c(4).\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3608, 3585, 3548, 3491, 3408, 3293, 3140?\n\"Answer: -s**3 - s**2 - 13*s + 3623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + l**2 + (0*l + 0*l - l)*(2*l - 1 + 1))*(-3*l**3 + 2*l**3 - 2*l**3).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -339 and -0.1.\nAnswer: 33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24087\/(-268065) + (-2)\/(-15). What is the nearest to -0.2 in l, -5, -3\/4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 3*r**4 + 2*r**4 + (-4*r - 3*r + 27*r)*(3*r**3 - 5*r**3 + 0*r**3).\nAnswer: -43*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/840*-4*(-30)\/(-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1129, 1127, 1125, 1123, 1121?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*i + 280*i - 1148 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*d + 5644 + 2371. Is -1145 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**3 - 4*w**2 + w - 105. What is the hundreds digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 - 1. Let v(p) = -24*p**2 + 16*p**2 + 3*p**2 + 2. Determine -6*q(w) - 5*v(w).\nAnswer: w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**2 + 39*z + 2. Let d be a(-4). Let k = d + 391. Calculate the remainder when k is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*h**2 + 1)*((-2 - 2 + 6)*(h - 2*h + 2*h) + 2 + h - 2 + 2*h + 2 - 2).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.954068ml in litres?\nAnswer: 0.007954068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 - -3355212?\nAnswer: 3355112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6233 + -1?\nAnswer: 6232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1227841285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(343)*-2))**2.\nAnswer: 21952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 3074 = -3383. Let q = 1020 + l. List the prime factors of q.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 2) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f + 9*f - 16*f**2 to q*f**2 + u*f + i and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 287 and 476?\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -31. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from {u: 15, n: 4}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 60 + 74 + 2*l**3.\nAnswer: 2*l**3 + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -146689\/4 - 1\/4*d**2 + 383\/2*d = 0?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1710, 7186, 16524, 29724, 46786?\n\"Answer: 1931*d**2 - 317*d + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15642)\/(-27) + 16\/24?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 1. Let w(o) = -o**3 + 7*o**2 - 15*o + 1. Let y(g) = -g**2 + g + 1. Let q(a) = w(a) - 4*y(a). Let j be q(8). Let k = -39 + j. Determine l(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-105)\/(-20) + -2*(-1)\/(-8). Solve d*u = -2*u - 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ufmriruumfirdff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3575 <= -39323\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 296 - (60\/16 - 4) - (-8)\/(-32)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:52 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - 14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36310523*k**2 - 54382541*k wrt k.\nAnswer: 72621046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/(-6))\/((-26)\/2223)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 greater than -277\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*m + 12. Suppose 4*p + l = 24, -5*l + m + 7 = 3*p. Suppose -5*q + 20 = 0, -p*n + 181 = -0*n - q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -37 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 840476440 and 856.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2, 0.5, -29, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, m: 3, a: 5}. What is prob of picking 2 a and 2 u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 446 = s - 142, 2*s - 1194 = -3*q. Calculate the highest common factor of s and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -46, -78, -122, -178, -246?\n\"Answer: -6*s**2 - 2*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -272 (base 13) to base 16.\nAnswer: -1af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000853 rounded to six dps?\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2390?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/74018 and -37\/364.\nAnswer: 1924468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 8, -3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -949*o = 2648*o - 1043*o + 1121*o + 55125 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 128353.127.\nAnswer: 128322.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.6, -2\/7, 201, -2\/9 in descending order.\nAnswer: 201, 0.6, -2\/9, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -767 and -15796.\nAnswer: -16563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*a + 4*r, -a = r - 0*r. Let s(z) = 3*z**2 + 8*z + 7. Let f be s(a). Suppose 0 = 3*u - 0*u - f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27144 and 1638?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*q - 2 - 13, 0 = -2*d + 5*q - 24. Suppose -3*u + 32 - 8 = 0. Let v = u - d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32583475.\nAnswer: 5, 17, 76667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92872663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 divided by 6?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.071 + 0.071. Which is the nearest to -1? (a) w (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7913 is divided by 7885?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Differentiate c - g + 4 - 3 with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18\/137, -4\/9, -6.213?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - l = 160. Does 4 divide 1*45\/4 - (-5)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvavavvvvvav. What is prob of picking 3 v?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 688, 2753, 6192, 11005, 17192, 24753?\n\"Answer: 687*l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 858 + 54*j - 855 + j + 3*j + 25*j. Let p(o) = o**2. Calculate p(w(m)).\nAnswer: 6889*m**2 + 498*m + 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(12\/(-9) + 2\/6). Is 33 a factor of 2 + p + (46 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + x - 8, x - 6*x = 2*c - 22. Let h = c + -4. Suppose -3*y = h*y. Let q(j) = -j + 2. Determine q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -15) + (17875\/(-50))\/55. Let -11*d**4 + 6*d + 55\/2*d**3 - 26*d**2 + c*d**5 + 0 = 0. Calculate d.\nAnswer: 0, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g)\/(g*g**(4\/11)) assuming g is positive.\nAnswer: g**(-37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -779b40 (base 13) in base 2?\nAnswer: -1010110000101000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (1 - 0))*(-7 - -6). Suppose 3*d - 12 = -m*d. Solve 0 = -5*x - 4*q + 6 + 17, 4*q = d*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 106954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111183549 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.863 - -5.863. What is the nearest to 0.1 in -0.5, -3, p, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -1 - (4 - -6). Let t = q - -19. Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 66 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 4852*m + 4773*m - 9550*m - 2*m**2 in the form b*m**2 + o*m + y and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 40*v**2 - 82*v + 84. Let m be z(-42). Let y be 3\/(2 + 1) + 1. Solve 0*d = -d + 2*x + 5, -y*d + x + 7 = m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 + g - 5. What is p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 4440*a.\nAnswer: -5*a*(a - 888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1142\/855 - 2\/855. Let n(r) be the first derivative of 0*r + 0*r**5 + 0*r**2 + a*r**3 - 1\/2*r**6 - 2 + 0*r**4. Find the third derivative of n(z) wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 7*j**2 + 7*j - 2. Let u be b(-6). Let f = -76 - u. What are the prime factors of f\/6 + (-196)\/(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/215 - 13848\/(-120)*1.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1803, -79, 1 in decreasing order.\nAnswer: 1803, 1, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1377) + 1)**2.\nAnswer: -5512 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -71002?\nAnswer: 1846052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 187046 <= 187040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 20*r**2 - 64*r + 3. Let k be b(-16). Find the second derivative of 13*t**3 - 16*t**k + 2*t - 4*t**2 + t + 4 + 21*t**2 wrt t.\nAnswer: -18*t + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -59*x + 230. Determine h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1765921, 1766096, 1766271, 1766446, 1766621?\n\"Answer: 175*n + 1765746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253888, -507544, -760974, -1014178?\nAnswer: -1267156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3513 (base 8) to base 13.\nAnswer: -b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 408*-7267\nAnswer: -2964936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 - -657. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10001?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, -6, 3, 0.5, -197, 1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 81, 216, 461, 852, 1425, 2216, 3261?\n\"Answer: 6*o**3 + o**2 + 16*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-23 - -16) + 0 + 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, 11, -138, 2 in decreasing order.\nAnswer: 11, 2, 0, -15, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -49*k - 287. What is the thousands digit of s(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 5552*n**2\/3 + 8758400*n\/3 + 36903040000\/9.\nAnswer: 2*(n - 4600)**2*(n + 872)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 8*r**2 + 20*r + 16. Determine a(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1966 - -1965.8. Sort 0.4, 0.021, p in ascending order.\nAnswer: p, 0.021, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*q - 4*q**4 - 1238*q**3 + 6*q**4 + 1296*q**3 + 107*q wrt q.\nAnswer: 24*q**2 + 348*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3176 - 1470. What are the prime factors of n?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyyrtyeyyytttteyp. What is prob of picking 1 r and 1 y?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -54220222 (base 6) to base 10\nAnswer: -1604534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10551513034 + -10?\nAnswer: 10551513024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3350 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2249 take away 0.21063?\nAnswer: -2249.21063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1583 - -115557\/73. Let h = 4 - 3.9. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (sqrt(8) + 2 - sqrt(2)) + 3 + ((-1*sqrt(32))\/sqrt(8))\/(-4*sqrt(72)).\nAnswer: 25*sqrt(2)\/24 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 54 = -21*k. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -519 or -507?\nAnswer: -519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11115986 and 2576?\nAnswer: 2045341424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1141905168 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 14 + 17 - 74*w + 6 + 149*w to v + g*w and give g.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u. Let l(j) be the second derivative of j**3\/3 - j**2\/2 - 58*j. Let z(o) = -16*o - 5. Let c(d) = -5*l(d) + z(d). Calculate c(n(f)).\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/(-20) + 1\/4. Let p = -8 - -18. Let g = p - m. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-1 - (-9)\/(-3)) + 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375 by -125.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*o = -2*p - 160*o - 233, 5*p - 46*o = 3430 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 3. Let w be j(9). Calculate the greatest common divisor of 72 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 682 and 8.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g. Let c(q) = -3*q + 5. Let l(v) = 2*v - 3. Let u(s) = 3*c(s) + 5*l(s). Give u(b(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -125, -251, -371, -485, -593?\n\"Answer: 3*a**2 - 135*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/135*(-40)\/32 - 250\/(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)\/(2\/11). Is d smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q. What is the nearest to q in 10, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3090665 and 5699.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -1*sqrt(77))*-3 - (sqrt(77) + sqrt(77) + sqrt(77)*2*1))\/(((sqrt(441) + 1*sqrt(441))\/sqrt(7))\/sqrt(9)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112 - 2077?\nAnswer: -1c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/3 + c**2\/2 - 12*c - 6. Let m(j) be the first derivative of p(j). Give m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -44, -50, -48, -38?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 125*l**2 - 52*l + 945. Does 33 divide u(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1742*v**4 + 35*v**2 - 3*v?\nAnswer: -41808*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -846\/13, -4, -0.1, -3, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**5\/4 - 707*a**4\/4 - 12472*a**3 + 119122*a**2 + 231308*a - 110780 = 0?\nAnswer: -58, -2, 2\/5, 10, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -471 or -469?\nAnswer: -471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.147 - -1.853. Which is the nearest to t? (a) -0.2 (b) 12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/8 - (-6)\/8. Calculate the highest common factor of 81 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*t + 8. Let n(f) = f**t - 3 - 1 + 2*f**2 + f + 2. Does 4 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40876?\nAnswer: 2, 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s + 5. Let f be d(-5). Let m = -28 - f. Calculate the highest common divisor of 6 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 152184.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 39*c + 8.\nAnswer: -(c - 8)*(5*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 916701 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27106 (base 8) in base 5?\nAnswer: 334341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4680 = 983*k - 749*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069489 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.2 (c) -12 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.370343 millilitres in litres?\nAnswer: 0.007370343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 1752 = 5224. What is the remainder when l is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 24*p**2 + p**2 + 8*p**2.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0 in decreasing order.\nAnswer: 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*s**3 + 37*s**3 - 5*s**3.\nAnswer: 104*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*d + 12 = 0, -3*c - d - 4 + 2 = 0. Let v be (-7)\/c*(-3)\/((-105)\/40). Let l(x) = -x**3 + 4*x**2 - x + 3. Give l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6670*n + 274223*n + 184239*n.\nAnswer: 451792*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 442410 (base 6) to base 11\nAnswer: 25779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 + -11 - -8) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.160988 micrograms in grams?\nAnswer: 0.000002160988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.8 - 3.8. Sort x, -1\/3, 4\/9 in descending order.\nAnswer: x, 4\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from pfibc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (6732\/3369)\/(-1). Let n = q + -86479\/4492. Let r = -19 - n. Which is smaller: r or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 2e?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19259 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -706 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3189996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/7 + (-2 + -6 - -47). Which is the smallest value? (a) -0.14 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/3 + 4*y**2 - 40*y. Calculate the remainder when q(0) is divided by (-5 - 1)\/(-2) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 8*f**2 + 0*f**3 - f**3 in the form k*f + t*f**2 + s + z*f**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2236738 and -0.2.\nAnswer: 447347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/14 + 2\/14. What is the third biggest value in k, -0.14, 3\/5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*x - 8*x - 5*x + (-x + 3*x - 3*x)*(-2 - 1 + 5).\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = x, -3*x + 0 = -2*n + 11. Let l = -5 - -13. Let z = l + x. What is the smallest common multiple of z and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1566392 and 3\/40.\nAnswer: 7831960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - v**2 - 2 - 2)*(-3*v + 7*v + v).\nAnswer: -5*v**3 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d - 17*d + 9*d. Let u be ((1*2)\/(-1))\/(-2). Let i(z) = z - u + 1. What is y(i(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 69184.2 centuries?\nAnswer: 691842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/225293945 and -33\/10.\nAnswer: 450587890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*z + 7*z. Let q be 6 + -3 + z + 0. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 5*r + 2*r)*(-6*r**2 + 0*r**2 - 6*r**2) + (-r**2 + 0*r**2 + 2*r**2)*(0*r + r + 2*r).\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 18*v - 13*v)*(-2*v + 2*v + 4*v).\nAnswer: -124*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*l**3 - 5*l**3 + 2*l**3.\nAnswer: 67*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbobubbufbbfbbufubff. Give prob of picking 1 b and 1 x.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 36 = -4*h. Put -3, h, -4, -45 in decreasing order.\nAnswer: -3, -4, h, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 36*m**6\/5 - 27*m**5\/5 - m**4\/12 + 43*m**2 + 2*m. What is the third derivative of j(g) wrt g?\nAnswer: 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-153216)\/532)\/((-81)\/18)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3730 and 65\/22?\nAnswer: 41030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 17*j**2 - 17*j + 14. Let b be z(16). Let l be -2 - (-39)\/5 - b\/10. Let v be (-7 + l - (3 + 0))\/1. Is -2 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*x + 172 = 0, -x - 5 = -11. Calculate the least common multiple of s and 680.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w + 8. Let y(u) = -u - 1. Calculate -3*r(k) - 24*y(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 8:33 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15902 - -15926. Solve -u - 6 = 3*k, 19*u + k + 18 = x*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 234?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/60 - 5*p**4\/24 - 4*p**3\/3 - 9*p**2. Let l be z(-6). Let s = 16 + l. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1575778 or 1575780?\nAnswer: 1575778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4637.200018933 + 4637.2. What is a rounded to seven decimal places?\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13219226*p*w + 9941022*w wrt p?\nAnswer: 13219226*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/37 in 2\/27, -0.3, -0.4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9592 and -20.63.\nAnswer: -19.6708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -1\/4, -0.03, 2.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 50\/405)\/((-56)\/(-4956)) + -11?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - 0 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - ((-7110)\/1106 - (12\/7 - 2)). What is the closest to 0.08 in -0.3, g, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -2, -15, -34, -59, -90?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 7*d - 5. Let n be k(7). Let m = 17 + n. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*q = 19983 + 32300. What is the greatest common factor of 2597 and q?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11284644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 1:36 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -548 + -2a?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 122*p**2 + 236*p - 4. Give t(-59).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -15, 2\/3, -2\/7?\nAnswer: -2\/7","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: Express (-89 + 89 + 9*s**2)*(-3 + 7 + 2)*(-1 + 1 - 1)*(s**2 + s**2 - 3*s**2) in the form j + d*s**2 + y*s**4 + b*s + z*s**3 and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 37*f + 1382. Let h be o(24). Put 1, 0, -7, h in ascending order.\nAnswer: h, -7, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/9 - 2348*s**2\/9 + 2342*s\/3 = 0 for s.\nAnswer: 0, 3, 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 14. Let k be z(11). Suppose 0 = -5*n - 5*v + 475 - 75, 0 = -3*v + 6. Let m = n + k. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 6*t - 1072 = -3*q, -t + 196 = -4*q. Let d = -8259454\/38987 + 16\/2999. Let n = t + d. Sort n, 11, 0.3 in descending order.\nAnswer: 11, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 - 0.2. Let v = -43 + 43.4. Which is the nearest to -0.1? (a) s (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 16 = 17*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/60 + 13*h**3\/3 - h**2. Let q be ((-3)\/(-12)*0)\/(2 - 0). Is b(q) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/2 (b) 2.9 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 5075.55?\nAnswer: 10151.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000429505 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*y + 151 + 105, 5*k = 3*y + 428. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12592 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 4 - 4 + 4 + 1 - 6*q - 17*q**3 to j*q**2 + x*q**3 + l + a*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 25*j**3 + 15*j**2 + 25*j - 20.\nAnswer: 5*(j - 4)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 165 - 153 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**5 + 0*x**2 - 7\/6*x**4 + 0*x**3 + 10*x + 0 + 1\/10*x**6. What is the third derivative of g(c) wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-1800)*30)\/((6\/52)\/3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5319 = 42*k - 45*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*c**2*s**5 + 2*c**2*s**4 - 2*c**2*s + 273*c wrt s?\nAnswer: 1000*c**2*s**3 + 24*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -26. Let g(o) = 15*o**3 - 6*o**2 - 6*o - 18. Let z(j) = -44*j**3 + 17*j**2 + 17*j + 53. Let s(h) = n*z(h) + 17*g(h). Differentiate s(y) wrt y.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose -j = -0*j - 60. Suppose -5*h = -2*h - j. Solve 4*v - h = -a*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 - 10215*a - 10210 = 0 for a.\nAnswer: -2042, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + h + 2. Let a be m(2). Suppose 2*v = -a + 4. Solve -v*f - 12 = 3*t - 0*t, 0 = t + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15573.96 months to centuries.\nAnswer: 12.9783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4 + 300*d**3 - 296*d**2 = 0.\nAnswer: 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -109 + -32f9?\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - 3 - 210\/8 and (-3)\/(-5) + (-26)\/35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/(n**(-7)\/n))**(-2\/25) assuming n is positive.\nAnswer: n**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 97 - 272)*(-2 + 2 - 2*g).\nAnswer: 544*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 2*o = -7, 5*o = 10. Let y(x) = -270 + 142 + 140 + 16*x. Let p be y(l). Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 t when four letters picked without replacement from {c: 1, m: 3, v: 5, r: 4, t: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 4 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(4*s**4 - 5*s**4 + 0*s**4) + (s**4 - 3*s**4 + 0*s**4)*(-6 + 4 - 4).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 56. Calculate the remainder when b is divided by 10 - (0 + -2 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 4*i**2 + 3*i. Let n be b(3). Let k be (-7)\/(-5) - (-4)\/(-10). Let h(x) = n*x - k + 2 + x. Let g(a) = 7*a + 4. Give g(m) - 6*h(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + 45?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*m**6 + 129315*m**4 - 87*m**2 - 82699*m wrt m?\nAnswer: -29640*m**3 + 3103560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 217.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czc when three letters picked without replacement from pppppcpppzpppcppp?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 + 250*r**2 - 91*r**2)*(-2*r + 2 - 2) - 5*r**3 + 5*r**3 - 7*r**3.\nAnswer: -333*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-81)*165\/(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 55 + 18 - 7*r - 93 - 117 - 64. Determine z(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 524, 14119, 27716, 41315, 54916, 68519, 82124?\n\"Answer: j**2 + 13592*j - 13069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -3, -2\/7, 1\/3 in increasing order.\nAnswer: -3, -3\/4, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 6. What is the remainder when p is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38063532*t**2 - 52895700*t + 18376875 = 0. Calculate t.\nAnswer: 2475\/3562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508103?\nAnswer: 508103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**4 - 2*o**3 - o**2 - 2*o - 1. Let n(u) = -2*u**5 - 18*u**4 - 6*u**3 + 10*u**2 - 8*u - 4. Let f(d) = n(d) - 4*y(d). Suppose f(h) = 0. What is h?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292711115.\nAnswer: 5, 2153, 27191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let b = 5 + z. Calculate the remainder when b - 6\/((-6)\/(-2)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, e: 1}. Give prob of sequence xx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2 - 3254544*j + 312399360 = 0.\nAnswer: 96, 813540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -723\/8 - -2177\/24. Let r(d) be the second derivative of -12*d - s*d**3 + 0 + 3\/2*d**2. Determine r(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4108.43 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u - 16. Give b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/420 or 36913?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1239480987 divided by 6\nAnswer: -413160329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -3*b**4\/4 + 1072*b**3\/3 - 7*b**2\/2 - 160*b - 8481. What is the second derivative of l(q) wrt q?\nAnswer: -18*q + 2144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*i - 2402 + 8072 = -12673 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 11 = -2*z, -3*a + 3*z + 11 = -2*a. Suppose a*i - i = 80. Calculate the remainder when 77 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35788*d**3 + 48432*d**3 + 99192*d**3 + 27851*d**3.\nAnswer: 139687*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14961547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 30*i - 3. Let s(k) = -390*k + 40. What is 3*s(c) + 40*t(c)?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2396, 2691, 2986?\n\"Answer: 295*w + 2101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14550757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 18*x**2 + 42*x + 31. What is d(-20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/((-2)\/8). Suppose 5*j = y*i + 1869, 0 = -4*j + 9*j - 5*i - 1875. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, 0.5, -0.7, -5, -569?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -49.8. Let l = 125.3 + -125.4. Does l = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**22*s*s*s*s**(3\/14)*(s**(-1\/2))**(-41) assuming s is positive.\nAnswer: s**(327\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3929 greater than 61108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 3, 5, 226.\nAnswer: -1, 3, 5, 8, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -9*g**5\/5 + g**4 - 69*g**2 - 233. Find the second derivative of a(o) wrt o.\nAnswer: -108*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.5. Let x(w) = w**2 - w - 2. Let o be x(2). Which is the closest to -0.1? (a) -2 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/99 and -13\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**7)\/x*x*x**(-2\/51))\/(x**2)**(2\/113) assuming x is positive.\nAnswer: x**(-35008\/5763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-21)\/1596*-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26.87 or -181?\nAnswer: -26.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {n: 2, l: 2, x: 2, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122282.\nAnswer: 2, 61141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 75646906?\nAnswer: 151293812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17803801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0058 - -0.2942. Let q = -0.2 - -2.2. Which is the third smallest value? (a) -0.3 (b) 4 (c) q (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnj when three letters picked without replacement from nggjn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 45264894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16 + ((-63840)\/(-448))\/(35\/14)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmttrrmrrmurrtttrru. What is prob of picking 2 m, 1 u, and 1 t?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4638*t = -4641*t + 36 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9685 days in microseconds?\nAnswer: 688478400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9111 + -7787. List the prime factors of o.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 - -131. Suppose -4*n = -8*n. Suppose v = -4*f + 7, n = v + 5*f + 2 - 9. Sort x, v, -3 in ascending order.\nAnswer: -3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssttsstttt. Give prob of picking 2 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + -4*(-2*sqrt(360) + sqrt(360)) + sqrt(360))\/sqrt(12))\/((sqrt(10) - -5*sqrt(20)\/sqrt(2))*4).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q**(-7))\/(q**5*q*q*(q*q**(-3))\/q*q)*q**(-2\/9)*q*q**(-1\/5)*q*(q**1)**(19\/2) assuming q is positive.\nAnswer: q**(1357\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13227631, -26455261, -39682891?\nAnswer: -52910521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2 - 7)\/(-2). Suppose -124 = -9*b - 16. Suppose 0*g - b = -t*g. Solve n - g = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/25, 28, -493?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/60 + d**4\/3 + 7*d**3\/2 - 3*d**2 + 81*d - 3. What is o(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.06, -3551?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*p - 31. Let i(w) be the first derivative of w**4\/24 - w**3\/3 - 3*w**2\/2 - 6. Let b(z) be the second derivative of i(z). Determine b(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndwdznndddwwwdnwdn. What is prob of picking 1 w and 1 n?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*y = 20, -i + 4*i - 4*y - 23 = 0. Let z(q) = -3*q**2 - 7*q - 1. Let b be z(0). Sort 6, i, b, 2 in descending order.\nAnswer: 6, i, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -7\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*y - 687 + 14312, -5436 = 2*x - 5*y. Let i = 21725\/8 + x. Calculate the common denominator of i and 0 + 28\/(-18) + -2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*s + 1886, 3*l - 5*s + s = 5645. What are the prime factors of l?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 - -149. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*l + 5*l + 387, -3*f + l + 293 = 0. Let k be 4\/(-10) - f\/(-70). Let q(b) = 50*b**2 - 2*b + 2. What are the prime factors of q(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/23? (a) -2\/13 (b) 0.11 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1236121 in 3\/5, -0.3, -3.6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 10:17 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-124 - (-14 - 4))*(-3 - (1 - 2)). Solve -2*w + 210 - d = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1996981243, -1996981241, -1996981239, -1996981237, -1996981235?\nAnswer: -1996981233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - x - 6463*x**2 - 4 - 7757*x**2 + 8932*x**2 as s + t*x + a*x**2 and give a.\nAnswer: -5288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(33\/(-22))\/((-13)\/(-26))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 460 + -301. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 133*v + 1785. Let y be u(-78). Let h(g) = -27*g + 3. Let j(f) = 14*f - 1. Calculate y*j(n) - 4*h(n).\nAnswer: -18*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o. Let g(x) = -11*x. Let r(b) = 5*b. Let v(l) = 6*g(l) + 13*r(l). What is u(y) - v(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 551 + 1906. Find g, given that -300*g - 45 - s*g**2 - 234*g**2 - 156*g**2 + 79*g**2 = 0.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 26 = -84. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119 - -136) + (-15 - 1) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 72. Suppose g = 6*d - 14. Solve d*h + 4*p = 2*h + 8, 4*h - 2*p = -26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-20)*(-19)\/2850)\/(1\/(-3))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*o**4*s**2 - 2030*o*s**2 + 39742*s**2 wrt o?\nAnswer: -36*o**3*s**2 - 2030*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397510 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(2 + sqrt(98) + -1))**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3 + 3 + 6*i + 0 - 2*i + i**2. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(-3 - 57*q + 3) - 2*q - 1 + 1 to the form n*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-1)*(-35)\/(-105)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 at most as big as -289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/15 - 1104*b**3\/5 - 1367852*b**2\/15 + 915216*b\/5 - 1374482\/15.\nAnswer: -2*(b - 1)**2*(b + 829)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*a + 457 + 737 = -381 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2770346673?\nAnswer: 3, 17, 18106841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192285*c**2 - 2*c + 70723?\nAnswer: 384570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -47, -154, -367, -722?\n\"Answer: -6*h**3 + h**2 + 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24585061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 21*d**2 - 2*d + 70. List the prime factors of h(-8).\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1935*x - 9605 - 32523 = 744*x - 1442*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 3247495830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 16*r - 4 = 0, 5*r + 6470 = 5*c. List the prime factors of c.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 5 - 2 - (-21 - (4 + 0))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763.10646 rounded to the nearest integer?\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:31 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -24*k**3 + k**2 + k. Let m be w(-1). Let x be (-6)\/9 + m\/9. Factor 3*v**x + 4*v + 2*v + 6*v**2.\nAnswer: 3*v*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, l: 1, z: 5}. What is prob of picking 3 m?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001 + 111000010111000101011?\nAnswer: 111000010111110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -7\/6*u**3 + 1\/6*u**4 + 3 + 5*u + 35\/2*u**2. Differentiate t(b) with respect to b.\nAnswer: 4*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*b + 15 = 0, 3*y + 3*b + 8 + 7 = 0. Put y, 0, -4 in increasing order.\nAnswer: y, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/(-8))\/(3\/2). Suppose z - 79 = 5*q, t*q - 19 = 4*z - 275. Let l be (-6)\/10 + 1478\/5. What is the highest common factor of z and l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/17)\/k**17 assuming k is positive.\nAnswer: k**(-291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87 - 12 - 17 - (-43 - -35)) + 3?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 10 = 0, -6*i - 5*u = -12 - 43 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1846 = -62186*c + 62044*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3558 at least as big as -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 - -292. Which is bigger: -20 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6*k - 14 = 2*k, 0 = -2*o - 5*k + 20. Put 12, o, 5, -16, -6 in descending order.\nAnswer: 12, 5, o, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526170 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2373 = 5*b, -3*b = 5*w - 427 - 1010. Let r = b - 183. Suppose -5*n = h - 327, 4*h - r = 3*h + 4*n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 530 and 1676970.\nAnswer: 88879410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 32*n - 452. Give f(-15).\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 343399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 10*s - 5. Determine l(17).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000047511 to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 22*o - 3 - 14*o.\nAnswer: -36*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 695067563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222231 + 311?\nAnswer: -221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -112*i - 3. Give c(1).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/4878 and 47\/78048.\nAnswer: 78048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 59.96239km?\nAnswer: 59962390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 29*v**3 + 30*v**2 - 7*v + 24. Let h(l) = 14*l**3 + 15*l**2 - 3*l + 11. Determine -3*g(i) + 7*h(i).\nAnswer: 11*i**3 + 15*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -422 + 12?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-9))*o**(3\/11) assuming o is positive.\nAnswer: o**(102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092767673 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40825, 14, -1 in decreasing order.\nAnswer: 40825, 14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 600?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) -131405 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 197?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 491455877 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/480 + 13*c**5\/60 + 393*c**4\/32 + 945*c**3\/4 - 8*c**2 + 7*c + 10. Factor l(r).\nAnswer: -(r - 70)*(r + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-26 - (-23 + 5)) + 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1860 and 3720.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 4015036 = 113*s - 2496924. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3963555?\nAnswer: 3, 5, 88079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*q = -10*q - 26*q + 35*q. Is 7\/1117 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + g - 125 = 0, 2*g = -k + 50 - 0. Let h = k - 8. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**5 - 2288*w**4 - 329336*w**3 - 579232*w**2 + 10008060*w - 9097200 = 0.\nAnswer: -285, -7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, h: 8, j: 1}. Give prob of picking 2 h.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d + 35*d + 37*d - 101*d.\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 1133, 2559, 4557, 7127, 10269?\nAnswer: 13983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*v - 20 = 0, x + 3 = v + 11. Let l(r) = -6*r - 8. Let f(p) = 5*p + 7. Let h(j) = 5*f(j) + 4*l(j). Let o(m) = -2*m - 5. What is x*h(k) + 6*o(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -46*r. Let f be i(0). Suppose 0*o + 276 = 4*d + 4*o, f = 2*d + 3*o - 139. What is the remainder when 145 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*v**6 - 788*v**3 + 1314*v**2 - 5.\nAnswer: 2160*v**3 - 4728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2092.977um to millimeters.\nAnswer: 2.092977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 11 - 27. Let p = q - -10. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52678 - 29777. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -973248*y - 1024. Let t be v(12). What is t rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 15*c - 29. Let l be f(-17). What is the closest to 0.4 in -3, 3\/7, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11\/27 and 33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 - -33855?\nAnswer: 33388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6367*y**4 - 377*y**3 + 12945*y**2 - 1122*y.\nAnswer: 152808*y - 2262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 72. Let w be 0\/(-2) - (12 + q). Let f(t) = 11 - 6 - 5 + w*t**2. Let l(n) = -4*n. Calculate f(l(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 8*m - 176. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 4 - 6 - -27?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 124 times -24\nAnswer: -2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j**4 + 304*j**3 - 468*j**2 - 1480*j + 1664 = 0. What is j?\nAnswer: -2, 1, 16\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 5) to base 10\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Suppose 11 = 2*l + 1. Let f(x) = -6 + l - 2*x + 1. Calculate f(j(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/8 - 3*y\/2 + 27\/8.\nAnswer: (y - 9)*(y - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/15*3\/(-16). What is the nearest to 2\/9 in u, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 6*y + 5628 = 0. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10589217852503 - 10589226084499.60000124. Let o = s - -8231997. Let v = 0.4 - o. What is v rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289539*s**3 - 289537*s**3 + 579067*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.17697 times -3\nAnswer: -0.53091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.015, 0.2, 9\/5 in ascending order.\nAnswer: -2, 0.015, 0.2, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 - r - 7. Let h(i) = i**2 + 10*i + 14. Let a be h(-7). Let d be k(a). Solve -10 = -2*y - d*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1863706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 285\/4 and 72 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 22, 0, 2 in decreasing order.\nAnswer: 22, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - w**2 - 3 + (w - 2*w + 3*w)*(0*w - w - w) - 20*w**2 + 19*w**2 + 0 + 26.\nAnswer: -6*w**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110.29 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 280784 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 0.2 (c) -0.34 (d) -0.06 (e) -5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.4 - -46.4. Put -3, g, -2, 0.66, -11 in descending order.\nAnswer: g, 0.66, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122420023 (base 5) to base 12\nAnswer: -246640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s - 10. Let o be (-6)\/(0\/3 + -1). Let g = s - o. Solve 3*u = g + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 12, n: 2, y: 2}. Give prob of sequence up.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2 + 2. Find the second derivative of -h*y + y - y + 2*y**2 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 1032, 1957, 3252, 4917?\nAnswer: 6952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2343 and 330?\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)*3\/(-3) - -2. Put 7, -18, j in decreasing order.\nAnswer: 7, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1704, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 1368*z**2 + 30459*z + 168190.\nAnswer: -(z - 1390)*(z + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 190 = 10. What are the prime factors of (125\/m)\/(5\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7850 by 157.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29107 is divided by 29105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 25*m - 455. What is q(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/17, 0.04, -77, 29 in ascending order.\nAnswer: -77, -2\/17, -0.1, 0.04, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23996*w**4 - 28455 wrt w?\nAnswer: -95984*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3977 is divided by 961?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.154 + -4.334. Let p = 4 + s. Let i = 0.11 + p. Round i to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128730 and 12.\nAnswer: 257460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 - 1 = -4*c, -w = 5*c - 17. Find the second derivative of -2*a**c + 18 - 2*a + 2*a**2 + 3490*a**4 - 2*a**2 - 3447*a**4 wrt a.\nAnswer: 516*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-217)\/((-11718)\/12))\/((-2)\/(-11)*(-2)\/(-72))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88887 divided by 123?\nAnswer: 29629\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/13 - 446*l**4\/13 + 29494*l**3\/13 - 488266*l**2\/13 - 118008*l\/13 + 1960200\/13 = 0. Calculate l.\nAnswer: -2, 2, 25, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -19*h - 4757. Let u(b) = 54*b + 14274. Calculate 6*u(k) + 17*v(k).\nAnswer: k + 4775","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.7, -1, 2.699, 4, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*o + 4*c, -4*o + 400*c - 8 = 402*c - 26 - 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3032 - 3?\nAnswer: 3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1794 and 63204.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(288) + sqrt(288)*1)*3 + sqrt(288))*-2)**2.\nAnswer: 225792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1018\/9 + -113. What is the third smallest value in -1\/5, 6, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v**2 + 1551*v - 1551*v - 5.\nAnswer: -31*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*j - 30 + 17 + 13.\nAnswer: 365*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-116)\/(-30))\/((-36)\/(-45)). Let a = -113\/24 + g. Let i = 0 + -2. Sort -3\/5, a, i, -3.\nAnswer: -3, i, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*p - 8 - 23, -13*p + 2*o + 36 = 0. Let w = 8 - 6. Let f = 1 + w. Solve -f*s = -p*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - y**3 + 3*y**3 - 2*y**2 + (2*y - 2*y + y**2)*(4*y + 6*y - 5*y).\nAnswer: 7*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201342 by -3.\nAnswer: -67114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 10327 = -499. Suppose 59*s = 41*s + t. Let k be 13\/(1 - (2 - 2)). Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.43509 litres?\nAnswer: 57435.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65314.\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -5, -3 in decreasing order.\nAnswer: 189, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 - -3.35. Let d(w) = 2*w + 5. Let s be d(-5). What is the fourth biggest value in -3, c, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-1026)\/(-4))\/(9\/(-12)). Suppose 0 = -4*d - 2*u + 480, 2*u - m = -3*d + 5*u. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198*f**3 + 433*f**3 + 15*f**2 - 198*f**3)*(-6 + 3 + 2).\nAnswer: -37*f**3 - 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 4. Suppose -20*p - 18 = -17*p. Let k(t) = 11*t - 23. Determine p*k(i) + 34*z(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 + (-490)\/40 - 1329\/(-1404) and -25\/12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*m**2 + 0 + 2\/5*m = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*b = -167*b + 1286320. What are the prime factors of b?\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23786 (base 12) to base 11.\nAnswer: 32984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396851 and 11837?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + ((-5)\/7 - -2). Let r = 157\/222 + -3\/74. Let k be 7\/(-4) - (-6 - (-4 + 0)). What is the smallest value in r, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*a - 11, 2*g + 2*g = 5*a + 6. Let i be (-2 + 3)*1*(-4)\/a. Let y(c) = 2*c**2 - 3*c - 2. Let s(u) = -u**2 + u + 1. What is i*y(o) + 5*s(o)?\nAnswer: -o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 - 15*a - 1. Let n(g) = 13*g**2 + 45*g + 3. Give 6*n(b) + 19*z(b).\nAnswer: 2*b**2 - 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -4 (c) 0.48 (d) 162\/13 (e) 1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 428*d**3 - 8*d**2 - 12*d + 21. Give c(1).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 155 + -2?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*z)*(17*z**2 - 157*z**2 - 40*z**2) as x + y*z + t*z**2 + p*z**3 and give p.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4594 and 2244169.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020336297 to 4 decimal places.\nAnswer: -0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27827 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:12 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a - -473?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*p**2 - 32*p**2 + 21*p**2 + 379*p**5 + 4 wrt p?\nAnswer: 22740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/13, -0.071, -35, 3, 2\/11 in increasing order.\nAnswer: -35, -8, -0.071, 2\/13, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l + 5*m, 3*m = 33*l - 41*l + 94. Calculate the highest common divisor of l and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 4*a + 11, -9*l + 3*a - 27 = -8*l. Let u(z) = -17*z**3 + 3*z + 1. Let r(t) = 17*t**3 - 2*t. Calculate l*r(o) - 2*u(o).\nAnswer: -17*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + -1.87. Let j = y + 2.1. What is the biggest value in j, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*q**3 + 247*q**2 - 247*q**2)*(-79 - 28 - 1 - 8 - 84)*(1 + 2*q - 1).\nAnswer: 10800*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 866 or 865?\nAnswer: 866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 88.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -25024?\nAnswer: -25027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-92)\/(-16) - 3)*20. Let z = n - 51. Let v = 4 - 3.6. What is the second smallest value in 2\/7, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630800 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -28, 2\/5, -0.2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -611 (base 7) to base 9.\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*l + l + 22 = 0, l + 4 = 0. Let a = -4 + f. Suppose 310 = 5*b + 4*k - a, 4*k - 16 = 0. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.036 + -25.964. Let f = i + 27. Sort -0.4, -3, f in descending order.\nAnswer: f, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6759904?\nAnswer: 2, 211247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 347869 = 211584. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -939, -3779, -8513, -15141, -23663?\n\"Answer: -947*m**2 + m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2\/7*p**3 + 8\/7*p**2 - 36\/7 - 6\/7*p = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*d**3*t**4 + 10*d**3*t**2 + 2*d**3*t + 5*d*t**4 wrt t.\nAnswer: 288*d**3*t + 120*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001111 (base 2) in base 7?\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, 1, 5, 4 in descending order.\nAnswer: 5, 4, 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b60 - 1b?\nAnswer: b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 40*y - 34. Let m be d(10). Let o = 335 + m. Solve 0 = -3*v + o + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25 and 6.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 711 and 232344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 9*c**2 + 5*c + 5. Is 11 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170ba (base 15) to base 12\nAnswer: -370a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/20 - 5*p**4\/12 - 5*p**3\/3 - p**2. Let d(q) = -2*q**3 - 3*q - 3. Let y be -2 - -4*5\/(-20). Calculate y*i(c) + 10*d(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2 + 0*a - 1\/3*a**3 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.4 - -32. What is the second biggest value in f, -5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 3:24 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 893016781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*c - 0*l + 2*l, 0 = 3*c + 3*l - 3 - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0 + 0*j**2 + 1\/6*j**3 - 4*j. Let d(z) = 7*z**2. What is w(d(o))?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.78? (a) -131 (b) 2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.27, -1\/3, 163.62?\nAnswer: 163.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28590600 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1*sqrt(170) - sqrt(170))*-4 + sqrt(170))\/((sqrt(110) + sqrt(110)*3)\/sqrt(11)))**2 + -3 + -3.\nAnswer: 57\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/((-315)\/(-6)))\/((-4)\/24). Let g = 2 - 1. Let h be (0 - g) + -2 - -8. Which is the smallest value? (a) 4\/3 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2, -2*y = 2*x - 15 - 7. Suppose 0 = -2*p + 11 + 15. Calculate the highest common factor of p and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423760301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/3 and 16\/40*(-1425)\/2869?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - u**3 + 12106*u - u**3 - 12109*u to j*u**2 + w*u**3 + m + a*u and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 s when three letters picked without replacement from pgsgevvsfvvsspp.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (27396\/3805)\/(((-2)\/(-3))\/((-20)\/(-12)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 196 = -16*u. Suppose 3*c = 4*w + u, -4*c - 3*w - 1 + 5 = 0. Solve c*j - 2*t = 20, -j = 3*t - 2 - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 28*w - 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -10) + (-26 - -62) + 22?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 23. Calculate u(11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1553106 to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -66. Suppose 3*d - 9 = -3*s, 0*s = 5*d + 2*s - x. Suppose 5*t - d*j - 5 = 0, 3*t - 3*j - j = 2. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 22. Let o be f(-19). Solve 0 = -5*l + k - 15, -l = -3*k + o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(8\/(-6))*8. Let k be 2\/w - (-1)\/3. Let p = 601 - 600. Which is the smallest value? (a) p (b) 2\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127, 288, 495, 772, 1143, 1632, 2263?\n\"Answer: 4*i**3 - i**2 + 136*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4)*r))**(-44)*(r\/(r**(-2\/7)\/r*r))\/r**(-37) assuming r is positive.\nAnswer: r**(-964\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.49125 - -52486.99125. Let p = -51791.807 + j. Let o = 694 - p. What is o rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 8*u**2 + 3*u + 43. Let d be y(7). Let g = d - 114. Suppose 5*t - 27 = -4*i, 5*i = -t - 3*t + 18. Put -5, t, g in ascending order.\nAnswer: -5, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x + 7*x + 20*x**3 - 57*x**3 - 9*x**3 - x**3 as q*x**3 + n*x + m + i*x**2 and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/35)\/((-112)\/280)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, -9, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275241 is divided by 640.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1774*m**2 + 0 + 0 - 5 + 5 + 1773*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**3 - 7 + 166*f**3 + 64*f**3 + 0*f**3.\nAnswer: 251*f**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 2.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 262444*t - 46128192.\nAnswer: -2*(t + 176)*(t + 131046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.38 + -16527268565?\nAnswer: -16527268572.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -441, 543?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/6)\/((-7645)\/165 + 49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/5377475 and 67\/106417400.\nAnswer: 2021930600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-36)*-11 - 2\/9. Let d = u - -93. Suppose 4*z - 138 = 54. What is the remainder when d is divided by z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101113141 - 3422?\nAnswer: 101104214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 972*y - 5. Let d be p(1). Suppose 2*b - 1934 = -4*h, -2*b - d = -3*b + 2*h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 160, 142, 122, 100, 76, 50, 22?\n\"Answer: -t**2 - 15*t + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5 - 13*u**4 + 19*u**3 + 37*u**2 - 40*u - 44 = 0. Calculate u.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14 - (24 - 24) - (-209)\/(-2541).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*z + 319, 19*z + 1631 = -5*b + 21*z. Put b, 3, 0, 4, -1 in decreasing order.\nAnswer: 4, 3, 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243222 (base 5) in base 13?\nAnswer: 4249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 52 (c) -23692\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 - 7*a**3\/3 + 15*a**2\/2 + 17*a - 6. Let m be w(-9). What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043451 rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 2 (c) -0.002 (d) 590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -28*o + 284. Let u be q(10). Solve u*y = 5*m - 5, -13*m = -18*m - 4*y + 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 0.10926796421.\nAnswer: 2.89073203579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*r - 0*r. Solve -r*z = 2 - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 766 - -18359?\nAnswer: 19014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13740334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 30 = u, l + 161 = -5*u - 3*l. Sort 1, 4, u, 3, -5 in ascending order.\nAnswer: u, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(sqrt(325) + -2*sqrt(325) + 2) + -2 + ((0 + sqrt(325))*-5 - (sqrt(325)*-2 + 1))))**2.\nAnswer: -4050*sqrt(13) + 28350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - u - 16 = 0, 13*i - 5*u - 89 = -5 + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + -1 + 1)*-2. Let a = -3 + l. Suppose 7*h - a*h - 32 = 0. Solve -f - h = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80)\/sqrt(4)*-6)\/sqrt(4) - (0 + sqrt(405) + sqrt(405) + 1 - (sqrt(405) - (0 + (sqrt(405)*-2)**2))).\nAnswer: -1621 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5\/2)*v)\/(v*v\/(v**(5\/3)\/v)))\/(v\/v**1)**(-17)*v\/(v**(-6)*v*v)*v*(v**1\/v)\/v*((v**1\/v)\/v*v)**1 assuming v is positive.\nAnswer: v**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 90\/(-96)*(-1 + (-7)\/(-5)). What is the nearest to -1 in 0.5, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8885, -8793, -8701, -8609?\nAnswer: -8517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4454984, -4455021, -4455058, -4455095, -4455132, -4455169?\nAnswer: -4455206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 10 - 7 - 79*w**2 - 58*w**2 + 32 to the form i*w + h + n*w**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**2 + 4*t + 7*t**2 + 3*t**2 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - y = -i - 41, -3*i = -5*y - 47. Suppose -q + 40 = 7*q. Solve k - q*j + 5 + i = 0, -4*j + 16 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1 + sqrt(147))*2*6)**2 + -5*(sqrt(12) + -2)*-2.\nAnswer: 4052*sqrt(3) + 84796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xajxxxxjaaxaax. What is prob of picking 2 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29007177443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) -765\/4 (c) 0.5 (d) -1.5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 11*r - 9*r + (1 - 5 + 3)*(-5 + 5 - 2*r) + 1 - r + 1 - 4 in the form l + k*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-251*s - 1 - 97*s + 2)*(s + 3*s - 3*s).\nAnswer: -348*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, n: 3}. What is prob of sequence ene?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0377 + -3.9623. Put o, 0.2, 5, -48 in increasing order.\nAnswer: -48, o, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -72. Suppose o + 2*j = -o + 6, 2*o - 2 = 2*j. Does 3 divide a - (-2 - (2 - o))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -25*n**2 - 18*n - 18. Let m(z) = 8*z**2 + z + 1. Let f(p) = -3*m(p) - v(p). Give f(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -14. Let r = -6 - y. Let u(l) = -3*l - 3. What are the prime factors of u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 2. Let h be x(0). Let i(g) = -g**3 + g**2 + 3*g - 3. Let f be i(h). Let v = -553\/5 + 111. Is v at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8\/11 - 5\/22. Let i(b) be the first derivative of -s*b**4 + b**2 + 0*b - 1 + 0*b**3. Factor i(g).\nAnswer: -2*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53735690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**11\/l*l**0)\/(((l*(l*l**6)\/l)\/l)\/(l**(2\/7)*l)))**(-37) assuming l is positive.\nAnswer: l**(-1369\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -20 + 20 + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 30. Which is bigger: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.002 (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (23 + -7) - (-2 - -12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/40 + 2)\/(-69*(-89)\/(-8188))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let j(i) = i**2 - 9*i - 6. Let w be j(13). Let a be w\/(-102) + (-3)\/(-9). Does k = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224263 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 29*j - 16. Let u be g(-13). Suppose f - 4*c = 47, -3*c + 175 = 5*f - 8*c. Let i = f - u. Solve 5*z - 5 = -4*l - 24, 3*z - l + i = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - -10 - (-1 + 4 + -3). Solve 5*j - h = 0, -4*j + 12 = -5*s - 0*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.07 - 11. Let p = q - 0.57. Which is the closest to 0.1? (a) -2 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8823 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -102 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 + y + 58. Let z(o) = -2*o**3 - 2*o**2 + 2*o + 59. Let j(h) = 3*m(h) - 2*z(h). List the prime factors of j(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**2\/2 + 6. Let l(b) = b**2 + 5*b + 3. Let m(w) = -5*h(w) - l(w). Differentiate m(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 26 = 11*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 165 (b) -2\/5 (c) 7692 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 23*i. Let g(p) = 9*p**2 + 3*p + 3. Let z(c) = 2*c**2 + c + 1. Let k(a) = g(a) - 3*z(a). Determine b(k(h)).\nAnswer: 69*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poo when three letters picked without replacement from {o: 5, p: 11}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16962 + (-51 + 58)\/(7\/6).\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 28*c + 20. Let p(r) = r**2 + 3*r - 2. Let y(n) = 4*p(n) + q(n). What is y(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h. Let t(c) be the second derivative of h*c**4 + 0*c**2 + 0 + 0*c**3 + 2*c + 1\/60*c**5. Suppose t(k) = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2535537 is divided by 15651?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 10. Suppose -5*z - 2*z + 406 = 0. Let c = z + -47. Calculate o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2442, -2449, -2466, -2499, -2554, -2637, -2754?\n\"Answer: -n**3 + n**2 - 3*n - 2439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v*v*v\/v**(6\/7))**17 assuming v is positive.\nAnswer: v**(-697\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180931 is divided by 98410?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1.2082?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 170594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -3\/20, -489?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6103068 to the nearest integer?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -5, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2046*s + 2011*s + 945 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 3*n**2 - 4*n - 5. Let p be x(-4). Suppose 2*b = -4*z - 42, -5*b = 4*z + 8 + 49. Are z and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 6*-1*sqrt(112))*3 - ((sqrt(112) + 0)*3 - sqrt(112)*2*-3).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Is 3 + (45 + -2 - l) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12170 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -353. Let v = 306 - n. Put -1\/2, 3, v, 0 in ascending order.\nAnswer: -1\/2, 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -3*v. Let p(x) = -3*x - 3. Let z be p(v). Suppose 0 = -2*i + z*d + 34, 5*i - d = 4*d + 85. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 11*m**3\/6 + 34*m. Let k(x) = -x + 2*x + 3*x. Give k(i(y)).\nAnswer: 44*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -2.71.\nAnswer: -2.71, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121*r - 5 - 9*r**4 + 2*r**4 - 121*r with respect to r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3338)\/4)\/(6\/48*-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 116.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911.031cm in meters?\nAnswer: 19.11031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211\/20 + -41\/4. Let g(q) be the second derivative of 0 + 0*q**5 + 0*q**2 - y*q**6 + 0*q**3 + 8*q + 2\/3*q**4. What is the third derivative of g(l) wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008\/30 - (-2)\/5?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -6*l + 304. Calculate the greatest common divisor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1568) + sqrt(1568))*-2 + 3 - ((sqrt(1568) - (1*sqrt(1568) + 5)**2) + (sqrt(1568) - (sqrt(1568) - -1*sqrt(1568)))**2*-5)) + 2.\nAnswer: 84*sqrt(2) + 9438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 679 and 140747?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*(-39 - -28 - (-160)\/14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 62*r. Let n(k) = -671*k**2 - 678*k**2 + 1350*k**2. What is n(u(i))?\nAnswer: 9*i**4 - 372*i**3 + 3844*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 9 + 59 = -21*n + 4*y, 2*y - 38 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 856, 1319, 1820, 2371, 2984?\nAnswer: 3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15568297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4*h**3 - 507*h + 366*h + 283*h + 6*h**2)*(4*h - 3*h + h) to the form l*h + f*h**2 + r + p*h**3 + y*h**4 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*2\/(-4)*(-32)\/(-20). Let g(m) be the third derivative of -m**4\/6 + 3*m**3 + 2*m**2 - 6*m. Let b be g(u). Put b, 4, -2 in increasing order.\nAnswer: -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 3*f. Suppose f = 44*j - 13*j - 32333. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -559*f**4\/6 + 1504*f**3\/3 - f**2 + 1118. What is the derivative of y(s) wrt s?\nAnswer: -2236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575 = 4*z + 337. Let v = 337 + z. Suppose -2*r = 3*i - v - 10, 3*r - 150 = 5*i. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130123020020 (base 4) in base 16?\nAnswer: -71b208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1367*t - 87679 + 87679 + (3 - 5 + 1)*(t - 3*t + 3*t + (2 - 4 + 3)*(5*t - 5*t + t)) as o + m*t and give m.\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 746*l + 4*l**2 - 21*l**4 - 888*l + 19*l**4 in the form i*l**2 + f*l**4 + s*l**3 + g*l + x and give g.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*p + 15, -q = -2*p - 7 - 11. Calculate the remainder when 63 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20.37 and -180.\nAnswer: -200.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 2*n + p, 8*n - 4*n + 842 = 3*p. Let y = n + 849\/4. Let x = 6 - 11. What is the nearest to 0 in -1, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/6467 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/21)\/26*279\/(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 16*c = 92, 202*q - c = 211*q + 113 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 2*j. Let z = 77 + -79. Let x(o) = -15*o**3 - 12*o**2 + 42*o. Let k(m) = z*x(m) + 42*w(m). Find the third derivative of k(i) wrt i.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akbalb. What is prob of sequence kbl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 308*l + 3*l**2 - 308*l.\nAnswer: 3*l**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*h**3 + 603*b**4*h + 75*b**3 - 396*b**2*h**3 + 21*b**2*h + 2*b wrt b?\nAnswer: -48*b*h**3 + 14472*b*h + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l + 2*d - 8, -2*l = -5*d - 25. Let a(s) = -9*s**2 + 1 + 7 - 4 + 10*s**2. Calculate the smallest common multiple of l and a(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42448156?\nAnswer: 2, 23, 461393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 747 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*k**3 + 8 + 94*k**3 - 8.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 338305030 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2 + 1. Let r(y) = -3*y - 3*y - 3*y. What is c(r(w))?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (-8 + 2) - (-22)\/8. Let k(u) be the first derivative of -1 - 1\/3*u**3 - r*u**4 + u**2 + 0*u. Factor k(o).\nAnswer: -o*(3*o - 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:33 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30339078 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20892997 and 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/3)*q)*q)**42*((q*q\/q**(2\/5))\/q*q)\/(q\/(q**0*q)) assuming q is positive.\nAnswer: q**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7568109 decades in millennia?\nAnswer: 0.007568109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 520372557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + h**2 - 1. Let s(j) = -6*j**3 + 4*j**2 + j - 5. Let o(i) = s(i) - 4*y(i). Let l = -6403 - -6404. Calculate o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.084 - -38.084. Let r = -37.5 + x. Which is the third biggest value? (a) -2 (b) -1\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 10*g - 1. Suppose 0 = -10*i + 45 + 5. Let k(u) = -5 + 4*u + i - u. Give k(h(a)).\nAnswer: 30*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 977*q - 1907*q + 1054*q - 29 to the form f + s*q and give s.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17534, 35021, 52458, 69845, 87182, 104469, 121706?\n\"Answer: -25*v**2 + 17562*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-15)\/(-6))*75\/(-6). Let n = -55.9 + 5.1. Let r = n + 51. Which is the fourth biggest value? (a) r (b) h (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16713 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5563 and -0.5.\nAnswer: 2781.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 16263.15 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1598553876 + -28108971342797\/17584. Let a = -138\/157 + b. What is the common denominator of 97\/80 and a?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**15)*q*q*q**(-4\/7))**2*(q**1)**(-9\/5)\/(((q\/(q**(-3\/2)*q*q))\/q*q*q*q)\/(q*q\/q**0*q)) assuming q is positive.\nAnswer: q**(2349\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -969\/7, 2\/11, 1\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 239 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(-3\/2)*d)*(d*d**(2\/23))\/d*d**(5\/4)*d**(-4) assuming d is positive.\nAnswer: d**(-199\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 836 and 83?\nAnswer: 69388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 119, 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 146, 3\/7, -0.49, -2\/5, -2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 60*y. Let v(n) = -13*n - 6. Let k(i) be the third derivative of -i**4 - 11*i**3\/6 - 78*i**2. Let w(c) = 6*k(c) - 11*v(c). Determine b(w(f)).\nAnswer: -f**2 + 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152.2 - 152. Let z = -2769535\/16149 - -347\/769. Let g = -171 - z. Which is greater: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000168623 rounded to seven dps?\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - 1.503. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aanllja. Give prob of picking 1 l and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 7 + (9 - 20) - (5 + 45).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 149. What is the second smallest value in -2\/7, 7, y, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25562, 56609, 87656, 118703?\nAnswer: 149750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -6, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 91*c - 7. What is l(-1)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03578 and 404.\nAnswer: 403.96422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 7*x + j - 114 = 0, 102 = -5*x - 2*j for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/27*(-6)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 944331550 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 = 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 + -99041.\nAnswer: -98625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.9. Let w be (-29)\/10 + 2\/5. Let z = w + 4. Which is the smallest value? (a) o (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2313241 (base 5) to base 8.\nAnswer: -121340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/(292\/365).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30500 smaller than 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -26*n**3 - 21*n**2. Let o(r) = 2*r**3. Calculate l(x) + 4*o(x).\nAnswer: -18*x**3 - 21*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 435.651 - 436. Let l = -3.769 - j. Let g = l + -0.68. What is g rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = 3*p + p, -5*b + 31 = -4*p. Suppose -b*k = k + 12, 0 = j + 3*k + 5. What is the second derivative of -3*z**5 - z**5 + 0*z + j*z + 0*z wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29205 and 1138995.\nAnswer: 1138995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -52*s + 407. Let a be v(-22). Calculate the highest common divisor of 282 and a.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/j**(1\/2))\/j))**(-1) assuming j is positive.\nAnswer: 1\/sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 - 482 = 52*p + 372 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111588505643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 94*j - 2. What is u(-1)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10259 + 2533976\/247. Is 0 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**8\/48 - m**5\/5 - 11*m**2. What is the third derivative of j(z) wrt z?\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1 + 0*g**2 + 3*g - 2*g**2 + g**2 + 2*g. Let f be y(5). Solve -f = -v + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1. Suppose -3*y - 15 = 2*y, -2*g + 10 = -2*y. Suppose -g*l - 2*i + 6 = 0, 3*l + 17 = 2*l + 3*i. Is l greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 + 12*y. Let r(b) = 1934*b - 6. Calculate z(r(c)).\nAnswer: -11221068*c**2 + 92832*c - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 1\/7, -484, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12069*a*j**2*q - 2*a*j*q*r - 5*a*j*r + 3*a*q - 4788*j**2*q*r + q wrt r.\nAnswer: -2*a*j*q - 5*a*j - 4788*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1526.977ng to grams.\nAnswer: 0.000001526977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1283*v**6 + 2*v**5 - 620*v**2 - 2*v + 2?\nAnswer: 153960*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/189 - (-16)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/10 (b) -2\/1799 (c) 0.2 (d) 2\/11 (e) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 434626.2 millimeters?\nAnswer: 43462.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56b7c3d - 15?\nAnswer: -56b7c53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 9*y + 13*y - 2 + 3 as s*y + z and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-23 - -1 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:50 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 6*z + 8*z - 2*z + 147*z**3.\nAnswer: 147*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.775 greater than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1176934, 1176935, 1176936, 1176937, 1176938, 1176939?\n\"Answer: x + 1176933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3410240 is divided by 36669?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3405000 to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 230032 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvtttvcvvvct. Give prob of sequence vcv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -7174\/231 and -31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = 4*a, 3*h = -2*h + 2*a + 36. Let x(f) = -2*f + 9. Let i(t) = t - 4. Give h*x(c) + 13*i(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1405688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76422 is divided by 197?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 425*c - 4219. Determine j(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180061*l**3 - 180095*l**3 - 3*l + 1 + 360178*l**3 + 3*l - 1.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 1. Let x = 38 - 30. Let q be (-24)\/30*(-60)\/x. What is p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1712 = -2*z - 3438 + 1748 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkzk. Give prob of picking 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 11*o + 27. What is the tens digit of w(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r + 84 - 98 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 + -392. What is the second biggest value in 2, -1, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h + 2*h - 19*h)*(-80*h + 80*h + 10*h**2).\nAnswer: -350*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 15*t = 52. Let g = -532 - -507. Which is bigger: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r - 2. Let x(s) = 22*s - 6. Calculate -16*q(a) + 5*x(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2645*s + 16571. List the prime factors of t(12).\nAnswer: 48311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - v. Calculate q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5 - (-32 + 52)) + -3 + 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by 135.\nAnswer: -196\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 31*y**2 - 1 + 1 + 8*y**2 as j*y**2 + b + u*y and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 18 - 88. Let m be 2\/3 - 3\/(-36). Which is the second smallest value? (a) -0.07 (b) 0.6 (c) m (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnjkjunfunnfunnn. Give prob of picking 1 n, 1 k, and 1 j.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-38)\/(v*v**(3\/35)*v) assuming v is positive.\nAnswer: v**(-1403\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 550\/88*2\/45*-3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebbbeeoyeabbbeee. Give prob of picking 1 b, 1 a, and 1 e.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 2*y**2)*(-5*y + 2*y + 0*y + (5 - 1 - 3)*(-y - y + y) + 0*y - 4*y + 0*y).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-650)\/(-78))\/25 - 2\/100 and 53\/120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752569 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40436*o + 60 = -40421*o. Solve 5*d + 27 + 1 = 4*g, 4 = d + o*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1293.6*0.03.\nAnswer: -38.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3257322 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251869870 rounded to the nearest one hundred thousand?\nAnswer: 6251900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(88)*-1*4)\/(-5*sqrt(16)\/sqrt(32)) + -1)**2.\nAnswer: 64*sqrt(11)\/5 + 11289\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-12) - (-40905)\/108*(-18)\/5. Which is bigger: u or -1362?\nAnswer: -1362","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 0*w - 3*w + (-4*w + 2*w + 4*w)*(5 - 3 + 6))*(-w**3 - 4*w**3 + 4*w**3) in the form q*w**4 + f + a*w**3 + g*w + l*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmma when four letters picked without replacement from {l: 1, q: 1, b: 9, m: 4, a: 1, p: 1}?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -1 (b) 60\/7 (c) -7.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41522 - 2*j**2 + 41522.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 4)*(4 + x - 4) + 4 - 4 + 2*x)*(24 - 8*x - 24)*(-3*x**3 - 2*x**3 + 4*x**3).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76191625, -76191621, -76191615, -76191607, -76191597, -76191585?\nAnswer: -76191571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 7:38 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1\/4, -10, 3, -0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1103571 divided by 367857.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5382100 rounded to the nearest ten thousand?\nAnswer: -5380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 96 = -2*v + 99, -h - 5*v + 9 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 4*t - 3. Let v(b) = -b**3 + b**2 - 4*b - 4. Let p(j) = 2*h(j) - 3*v(j). Let c be 0 - 3 - (-4)\/(-4). What is p(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + i - 2*i - 2*i + 2*i + (4*i - 3*i - 3*i)*(-1 + 0 + 2) - 3 + 2*i + 3 + 2*i - 5 + 5 + 3*i + 0*i - 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3*30\/2. Let j(t) = -t**2 - 6*t - 2. Determine j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11\/4, 1\/864, 0.1, -0.92 in decreasing order.\nAnswer: 4, 11\/4, 0.1, 1\/864, -0.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 639*n - 2709. Determine l(3).\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Suppose 0 = 3*v - 6, q + 7 = 3*v + v. Let l be 4*q + 1 + 1. Solve a + l = f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - 2981\/19. Put -1\/2, 1\/4, 2, o in descending order.\nAnswer: 2, 1\/4, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5241, 1, -5, -1433 in ascending order.\nAnswer: -5241, -1433, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 18*l - 75. Let y = l - -25. Suppose 3*s - n - 47 = y, -2*s + 3*n + 0*n = -29. What is the remainder when 46 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 447 and 707005.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 8:14 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 + 45*r**2 - 11*r - 54. Let h(b) = -6*b**3 - 56*b**2 + 14*b + 64. Let t(n) = 9*h(n) + 11*i(n). Give t(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.5 (c) -2\/13 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/312*-30)\/7*(-68)\/5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -235 - 0.1208225\nAnswer: -235.1208225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + -30201312?\nAnswer: -30202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07461144188 rounded to 4 dps?\nAnswer: -0.0746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70880 and 92160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3915 and 44\/97875.\nAnswer: 97875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:22 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -11, -9, -5, 1, 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s**2 - 36*s - 26. Let c be y(-5). Let n(h) be the second derivative of -15*h + 1\/2*h**2 + 1\/8*h**3 - 1\/48*h**c + 0. Solve n(r) = 0 for r.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 171911.0169ms?\nAnswer: 0.00028424440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-1\/2)\/b)*b)**(3\/5)\/((b\/b**(-8))\/(((b\/b**(-2\/5))\/b)\/b*b)) assuming b is positive.\nAnswer: b**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 2*d - d. Suppose -5*m - 5 + 20 = 0. Let g(i) = -i**2 - 3*i**2 + m - 3. Determine g(r(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10040819753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 395 or -17\/8?\nAnswer: 395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80\/(-24)*-1*288. Calculate the greatest common divisor of 600 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -r + 15, 2*u - u = -5*r + 27. Let z = -1072.7 - -1131. Let v = 58 - z. Which is the closest to u? (a) v (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(65) - (1*sqrt(65) - sqrt(65))*2)\/(3*(sqrt(320) + sqrt(320) + sqrt(320)*-1) - sqrt(320)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 993.\nAnswer: 992.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -472 - -480. What is the lowest common multiple of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 1:46 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + (9 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139922 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730\/(-16555)*(7\/5 + 0)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*j + 172 = 0, -102 = -3*y - j + 4*j. Let r be (-2)\/6 - y\/(-15). Solve -r = -3*o + 5*u, -u = 3*o + u - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11617 is divided by 3741?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000001110 + 10010?\nAnswer: 100001000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -0.161. Let l = j + -82.859. Let a = l + 82.999693. Round a to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - -62) + -45 + (5 - (4 - 1)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.034955 litres?\nAnswer: 3034.955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -280151*p**2 + 207183361 wrt p?\nAnswer: -560302*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**3 - 16*h. Let j(t) = 8*t**3 + 15*t. Let v(w) = 5*f(w) + 4*j(w). Find the second derivative of v(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 32513.\nAnswer: 3\/32513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + 15d3?\nAnswer: 15a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 6*m + 14. Let b be r(8). Let c be ((-232)\/30)\/b - (-4)\/30. Solve -c*p - 2 = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*x - 4 = -x, 11*x = -5*s + 27 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (3 - -2) - (55 + -111 + 2)) + -9?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3956483.\nAnswer: 23, 172021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*x - 4, -3*c - 4*x = 5 + 3. Suppose 11*t + 32 = 21. Let z be -1 + 5\/((-10)\/(-12)). Put t, z, c in descending order.\nAnswer: z, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3348 is divided by 156?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251350\/28 + 105\/490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/(2\/4). Suppose -3*w = w + 2*c - 14, g*w - 3 = -4*c. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 32 = -1. Let k(u) = i*u - 3*u - 22 + 16*u. Let f(w) = -3*w + 4. Let p(l) = -33*f(l) - 6*k(l). Let b(t) = 2*t. Give p(b(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733876*b + 734725*b - 1468599*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 971*u - 17311 = 21529 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -138, -3.\nAnswer: -138, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48540 is divided by 437.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -485*v**2 - v - 1. Let k(a) = -973*a**2 - 2*a - 1. What is -4*k(q) + 7*p(q)?\nAnswer: 497*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and 11\/(5368\/6)*(-194)\/(-30).\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7171684797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 922\/33. Let c be (0 + -3)\/(105\/(-10)). What is the closest to c in m, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1773858.\nAnswer: 532157.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -255798, -511581, -767364, -1023147, -1278930?\n\"Answer: -255783*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -409, -431, -453, -475, -497?\n\"Answer: -22*r - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffjeefefwfjwwefsi. Give prob of picking 1 j and 3 e.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*o**2*q**3 + 152*o**2*q**2*w**3 + 5*o*q*w**3 - 2*o*w**2 - 13*q**3*w**2 wrt o.\nAnswer: 122*q**3 + 304*q**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5924.030403 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-16)\/12))\/(-11*21\/(-5082)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02236 + -0.01727. Let q = -0.09091 + n. Let y = 0.132 + q. What is y rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.97 + -63.97. Put r, 2, 1\/4, -5, -0.3 in ascending order.\nAnswer: -5, r, -0.3, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x**2 - 77. Let g(y) = -7*y**2 + 38. Let z(i) = -7*g(i) - 3*l(i). Is z(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**5)\/d**(-2\/23))\/(d\/d**(2\/19)*d*d*d*d*d**(-2\/5)))**(-1\/13) assuming d is positive.\nAnswer: d**(16186\/28405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209209498*-3.\nAnswer: 627628494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 1160718*p\/5 - 1160719\/5.\nAnswer: (p - 1160719)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 1, s: 4, x: 2}. What is prob of picking 1 o and 3 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2. Let w be (4\/(-3))\/(((-260)\/45)\/13). Let g(d) = 3 - w + 7*d - 8*d. Determine m(g(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1 - -2 - 2). What is the units digit of (m - 1)\/((-1)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6627\/(-7896) + 3 + 78\/(-16) + 2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233.307 days to nanoseconds.\nAnswer: 106557724800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9538 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -v - v + 3, 9 = 3*k + 3*v. Let o = -5 - -3. Let i = -9 - -6. Which is the nearest to 0? (a) o (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3, 2, -40 in increasing order.\nAnswer: -40, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:04 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t**(-1)*t)\/t**(-31) assuming t is positive.\nAnswer: t**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by -107721.\nAnswer: -94\/35907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.039 - -4.039. Which is the nearest to -1\/2? (a) -1 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101016 and 19328.\nAnswer: 244054656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - s - 3. Let t be v(5). Suppose 2*m - m = -3*n - t, -4*n - 22 = m. Let g be (2\/n)\/((-6)\/60). Solve 5*j - 2 = 2*u, -4*u - 3*j + j - g = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1506)\/1255*((-10)\/(-25) - 29\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 748.1115 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61751895, -123503787, -185255679, -247007571?\nAnswer: -308759463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**6\/10 + v**5\/20 - 9*v**4\/4 + v**3\/3 - 36*v. What is the third derivative of i(n) wrt n?\nAnswer: 72*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 23*m**2 - 4*m + 47. Let u be a(22). Is (-10)\/4*(-15)\/(u\/(-14126)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = -20*g - 4363. Let b = g + 329. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 75*h - 1. Let b(z) = -149*z + 3. Determine 2*b(y) + 5*f(y).\nAnswer: 77*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95711*o - 55 = -95700*o. Sort o, -12\/35, 1\/4 in ascending order.\nAnswer: o, -12\/35, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {b: 1, j: 1, r: 1, z: 1, i: 2, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 7*m - 2. Let y be w(-6). Suppose -y*b + 120 = b. Suppose 5*u + g = b, 4*u + 16 = 3*u + 5*g. Sort 2, -2, u.\nAnswer: -2, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 - -156. What is a in n*a + 7*a**2 + a**2 + 12 - 4*a**2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00161361415 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x - 2*x)*(-57*x + 30*x + 24*x - 6).\nAnswer: 3*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (106 - (-11 + 63)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5.7. Suppose -23*u = -17*u - 18. Which is the second biggest value? (a) 1\/11 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -75. Let o(r) = 2*r. Let i(s) = 2*s. Let x(m) = 5*i(m) - 6*o(m). What is x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-232)\/14 + 3\/(-7). Let g(w) = -18 - 18 - 37815*w - 9626*w + 2733*w. Let i be g(p). Round i to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(408\/128) + -4 + 0. Determine v, given that -1\/3*v**4 + 0*v + 0 - 4\/3*v**2 + x*v**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001101111000101001100 - -1101?\nAnswer: -1111001101111000100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x - 21 = 39*x. Suppose -x = -3*m - 16. Sort m, -2, -1, -5.\nAnswer: -5, m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 + 72*f**3 - 567*f**2 + 1578*f - 1080 = 0.\nAnswer: 1, 4, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -61920*r**2 + 6450*r. Let v(k) = 860*k**2 - 90*k. Let w(m) = -3*h(m) - 215*v(m). Let a(f) = 2*f. Determine w(a(p)).\nAnswer: 3440*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.36 - -0.36. What is the nearest to 0.1 in 4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 5*l - l)*(-l - 4*l**3 + 5*l**3 - 3*l + (-210 - 8*l**2 + 210)*(-3274 + 3274 - 104*l)) in the form m*l + n + r*l**2 + f*l**3 + d*l**4 and give d.\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 22 - (-2 - (0 + 0) - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 9*m**2 + 6. Let q(j) = 2*j**3 + 8*j**2 - 5. Let p(b) = -b**3 + 14*b**2 - 19*b + 83. Let l be p(13). What is l*v(s) + 6*q(s)?\nAnswer: 2*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5490*f + 4579. Is g(-63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6640 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*n = 122*n - 64 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -17. Let h(x) = 21*x**3 - 15*x**2 + 13*x - 11. Let a(b) = 11*b**3 - 8*b**2 + 7*b - 6. Let p(j) = g*h(j) + 11*a(j). Determine p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3100, -6362, -9562, -12670, -15656, -18490, -21142?\n\"Answer: 5*p**3 + p**2 - 3300*p + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 5011976.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 1, x: 5, y: 1, g: 3}. Give prob of sequence gx.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4 + 28*y**3 - 176*y**2 - 1008*y + 1152 = 0 for y.\nAnswer: -8, -6, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 3925 - 11464 - 4*f + 3915 + 3919.\nAnswer: 2*f + 295","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40249351 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neenenllxnenevnene. Give prob of sequence ve.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -156*p + 625. Let s be n(4). Which is smaller: s or 26\/449?\nAnswer: 26\/449","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(600) + (sqrt(600) - sqrt(600)*-2) + sqrt(600)))**2.\nAnswer: 19\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 13*z + 9. Solve 0 = -z*p - 9 + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9982051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101093 and 24467.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.053 and 1?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/5 - 12225852*g**2\/5 - 293421312*g\/5 - 352105920 = 0. Calculate g.\nAnswer: -12, 6112950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 4, -20, -54, -98?\n\"Answer: -5*y**2 + y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3757, 14446, 32069, 56626, 88117, 126542, 171901?\n\"Answer: 3467*n**2 + 288*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 7*d - 5. Let h be x(1). Suppose 3*i - 260 = -h*i. Suppose 4*y = -2 + 26. Calculate the smallest common multiple of y and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 - 166 = 2*p - 5*v - 78, -p + 2*v = 3*p - 44 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1554, 5494, 11758, 20346, 31258?\nAnswer: 44494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.64 - 0.44. Let m = -0.5 + 4.5. Which is the smallest value? (a) l (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 165*m - 159*m - 4)*(-318*m + 130*m + 34*m).\nAnswer: -924*m**2 + 616*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 15) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1513413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 12*a - 11*a. Let l = a - -67. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55426?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29561 is divided by 4221?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let a be (2 + (-2 - -3))\/r. Solve -5*i - 5 = a*g + 4, -3*g = -4*i - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030329 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57400 and 10304?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdc when three letters picked without replacement from sssdsdosdscfdfs.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8059*c. Let y(h) = 37*h**2 - 4. Calculate a(y(f)).\nAnswer: -298183*f**2 + 32236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11 - 78 + 6*q + 5. Let g be v(19). Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 304. Suppose -3*m = -p + h, 4*p = 2*m + 399 + 199. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**4\/4 - 73*i**3\/4 + 25*i**2\/2 + 2*i.\nAnswer: i*(i - 4)*(i - 1)*(15*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 115. Let d(n) = 2*n + 116. Determine 4*d(a) + 3*w(a).\nAnswer: 2*a + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 4*g - 3. Suppose 6*r - r = -h + 9, -5*h = 5. Calculate m(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:38 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26560209*o*v + o - 21787618*v wrt o.\nAnswer: -26560209*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3741784 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 38, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-674 - 938 - 151 - c + 161 + 47)*(-5 + 1 + 1).\nAnswer: 3*c + 4665","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) - (-8)\/(-45). Let r = 0.29 + 0.01. Which is the nearest to r? (a) p (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 - 9 = 14*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-18 - (-14 - -5 - 0)) + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72545\/12 - 6039. Calculate the common denominator of (8\/(-6))\/(18\/13) and t.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 762.809 litres?\nAnswer: 762809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(19) + -1*sqrt(19) + -1)**2 - sqrt(57)\/sqrt(3)*-1).\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59593.11 times -0.02?\nAnswer: -1191.8622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -663*y**2 - 788*y - 3. Let t(g) = 3*g**2. Give w(t(r)).\nAnswer: -5967*r**4 - 2364*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(-48)\/15)\/(((-468)\/(-120))\/(-39)). Calculate the greatest common divisor of k and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1860)*8*(-1)\/3*30\/4?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 12*j**2 + 2*j - 13. Let a be m(6). Sort 3, -2, a, 66 in ascending order.\nAnswer: -2, a, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.5 + 9.364. Let r = 8.364 - g. Let z = -6.5 + r. What is the closest to 0.6 in -5, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - -1. Let w = q - 3. Let z = 0.3 + w. Which is the third biggest value? (a) 1 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*w**2 + 0*w - 273*w**3 - 2*w + 39*w**2 + 120*w**3 to n + r*w**2 + x*w**3 + h*w and give x.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 27*t - 19864. Calculate k(-153).\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1373085*v**2*y + 4*v**2 - 679064*v*y + y wrt v?\nAnswer: 2746170*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 6, -2, -83, 1963, -4 in decreasing order.\nAnswer: 1963, 6, 4, -2, -4, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30975, 124030, 279059, 496062?\n\"Answer: 30987*w**2 + 94*w - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191212 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -2379363774885?\nAnswer: 2379363774885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89096 is divided by 786.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-196)*-4*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbgbgsgbgugggggugug. Give prob of sequence bgbs.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 937, 5, 0, -2\/25 in decreasing order.\nAnswer: 937, 5, 0, -2\/25, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9859 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*y + 18. Calculate the least common multiple of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 63 - 47 - 32 - p as f*p + j and give j.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**4\/4 + x**3 + 2*x**2 + 2*x + 7. Give g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3496 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11*y - 35 = 0. Suppose 3*h + w = -10, y*h + 5*w = -0*w - 10. Let i = -1172\/7 + 167. What is the nearest to 0.1 in i, -0.5, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -310.3 + 310. Let y = 0.3 - -0.7. What is the closest to 1\/2 in y, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -0.2. Let b = c + -9.7. Let t = b - -17. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + b**2 + b. Let f(c) = -5*c**3 - 4*c**2 - c - 3. Let w(q) = f(q) + 3*r(q). What is the remainder when 71 is divided by w(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, -6, -2 in descending order.\nAnswer: 21, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 131.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 1 + 1 + sqrt(272) + -1 + ((sqrt(272) + 0)*4)**2 + -3*(sqrt(272) + 0).\nAnswer: -4*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5\/5 + 392*t**4\/5 + 864*t**3\/5 - 6392*t**2\/5 - 172*t + 1200 = 0. Calculate t.\nAnswer: -5, -1, 1, 3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64296\/(-2256)*(-1)\/(-6)*4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 2791*t + 8391. What is d(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*6\/5 + (-4)\/(-10). Factor -449 + 68*h - 439 + 864 - y*h**4 + 28*h**3 - 68*h**2.\nAnswer: -4*(h - 3)*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -74 (c) -61 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 253963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1147*i**2 + 1152*i**2 + 1153*i**2 + 1128*i**2 - 4588*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -4*g + 5*z - 223, -4*g = 5*z + 41 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {a: 5, u: 10, j: 4}.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/55 and -46\/77?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, 0, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19 - z**3 + 19 + 3*z + 4*z**2 + 2*z**3. What is u(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbr when three letters picked without replacement from mrgbmumugbvg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -161?\nAnswer: -161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8879*y**2. Let s(f) = 4987*f. Determine s(t(o)).\nAnswer: 44279573*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/204 and -47\/13158.\nAnswer: 26316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(((u*u\/u**(-2\/19))\/u)\/u)*(u\/(u*(u**(2\/3)\/u)\/u))\/u*(u\/(u**(-1\/4)*u))\/(u*u\/(u*u**(-6)\/u)) assuming u is positive.\nAnswer: u**(-1487\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -206387900 rounded to the nearest 1000000?\nAnswer: -206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 + n - 5. Let p be t(5). Suppose -g + 5 - 2 = w, -3*w + 5*g - 7 = 0. Sort p, w, -5 in increasing order.\nAnswer: -5, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72760 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sotooqox. What is prob of sequence qt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169\/110 - -2\/55. Suppose 4 = 3*m + 1. What is the nearest to m in -0.3, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - 6 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8964?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 9*x**2 - 2*x. Let v be c(9). Let y = v + 21. Solve -t + y = -5*i, 0 = -i + t - 2*t + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:32 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 118908943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(30\/70)*3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-304)\/48 + 7\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31022111003 (base 4) to base 15.\nAnswer: -48241e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - ((sqrt(1872) + -4)*-1)**2)*-6*-4.\nAnswer: -45312 + 2592*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22833328.\nAnswer: 2, 7, 203869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19986 - -19985.8. Let r = 11 + -6. What is the nearest to 1 in 1\/9, b, r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -40. Let y be (-32)\/128 - a\/((-56)\/(-27)). Is 0 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/190 + -347\/2090. Let t = 799 + -798. What is the closest to t in r, -0.3, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425732, 851464, 1277196?\nAnswer: 1702928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seeggsgvsggeggvgwg. What is prob of picking 2 s and 1 e?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -511\/3406 + -1\/262. Which is the third biggest value? (a) 0.5 (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19326 + -7820. Is a\/10 - 10\/25*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z - 15. Suppose -z*y + 23 = 2*h, 28 = 4*y + y - 3*h. Let l be 1\/1 + 1 + 2. Sort y, -3, l in increasing order.\nAnswer: -3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o + 362 + 191 - 30 + 405 - 100 to the form a + m*o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, z: 5, c: 3, r: 3, y: 4}. Give prob of picking 1 z, 1 y, 1 t, and 1 r.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 636, 1270, 1904, 2538, 3172?\n\"Answer: 634*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -25*x + 13. Let h be r(3). Let z = -63 - h. What is the tens digit of (333\/(-4) - 2\/(-8))\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6024 and 697126396?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13622 + -163555\/12. Find the common denominator of p and -9\/82.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39920 - 254925\nAnswer: -294845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0886 and 0.4?\nAnswer: 0.4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5056 is divided by 4564?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r + 3*r - 4*r)*(-1 + 1 + 6*r).\nAnswer: 78*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Suppose s*p + 27 = -p. Let d(i) = i**2 + 9*i - 1. Let y be d(p). Let f(q) = q**2 + q - 1. Let o(t) = 3*t**2 + t - 3. Calculate y*o(m) + 2*f(m).\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26 - 3)\/((-14)\/7 + 1). Solve 24*z = c*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1524*o - 3283 = 1457*o. Let s be ((-1)\/(-2))\/((-1)\/(-392)). What is the highest common factor of o and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1110*d + 1110*d + 144*d**3)*(2 + 1 - 2)*(d + d - 12*d) to the form j*d**3 + r + y*d**4 + w*d**2 + n*d and give y.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34897.3037 and 2?\nAnswer: 69794.6074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*s = -19, -2*s - 5 = 2*y - 11. Suppose 15 = y*q - q. Suppose -15 = -q*b + 55. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1275 or -1274?\nAnswer: -1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(130)*1 - sqrt(130)) + sqrt(130))*3)\/(sqrt(70)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28634 + 115?\nAnswer: -2851c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z = -85 - 75 - 106 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from hphhphhhhhhphhpphhhh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/4)\/o*o)**(2\/31)*(o\/o**(2\/23))\/o**(1\/12))**(-22\/3))**(-17\/2) assuming o is positive.\nAnswer: o**(1250095\/25668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 82 = -70. Factor 8*h**c + 304*h - 304*h - 4*h**2 - 4.\nAnswer: 4*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or 2\/143?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/8 - 2211*r**2\/8 - 7027*r\/8 - 1317\/8.\nAnswer: -(r + 3)*(r + 439)*(5*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((2*sqrt(119) - sqrt(119))*5)\/sqrt(7)*3)**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 1, s: 1, z: 2, i: 1, x: 1}. Give prob of picking 1 i, 1 z, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364285 greater than or equal to 5364285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/((-25)\/10) + 4)\/(-16). Let d be (-2 + 3)*(-1)\/5. Which is the nearest to 0.2? (a) o (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -46 - 20. What is the remainder when 75 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*p**2 + 365*p**2 + 8*p**3 - 13*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20969 and 57.\nAnswer: 1195233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3383, -3387, -3391, -3395, -3399, -3403?\n\"Answer: -4*z - 3379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.84 - 0.16. Let h = -8.000127 - j. Round h to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 43245?\nAnswer: 43244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6584391 + 6584391 - 33*k.\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 76 = -244 - 144 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5 + 4*c**4 - 18*c**3 - 40*c**2 + 113*c - 60 = 0?\nAnswer: -5, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 148 = -8*v - 2*j, -3*j = -2*v + 63. Suppose 4 = -v*k + 29*k. Let y(h) = -h**3 - 4*h**2 - 4*h - 5. Calculate y(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411899652 less than 0.2?\nAnswer: -411899651.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - ((33 - (-15 - -36)) + 3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27551 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15117*c - 57. Is 10 a factor of s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1036 or 1038?\nAnswer: 1038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5930)\/4*-5*10\/125. Suppose 284 = x*k - 591*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 21 = g - 47 - 45, 0 = 3*g - 0*g - 4*g - j + 13 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 12, -0.2, -10388, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(117\/42 - (-8)\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k + 3*m = 17, 12 = 4*m. Suppose 4*a + 0*y + y = 6, k*a + 5*y = -6. Suppose -4 = -a*f + f. Solve 0 = -z + 5, f*p + 2*z + 5 = 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 26. Solve -2*r + 3*r - 20 = 5*w, -5*w - 5*r + x = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 26*x - 9. What are the prime factors of d(-18)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 4*k**2 - k**2 + (k - 9*k - 3*k + (1 + 0 + 1)*(1 - 1 + 2*k))*(-2 + 3*k + 0*k - k).\nAnswer: -13*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -2, 15, 0.4, -2\/13, 2\/25?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.238 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (0 - -4) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v. Let s = 3 + -9. Let j(p) = -p**2 - 7*p - 4. Let n be j(s). Let h(b) = b - b + b**n. Determine h(k(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1) - (58 + -58)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834915.\nAnswer: 3, 5, 55661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1790*x - 17905. Determine a(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 + 6*c. Let v(l) = -l**3 - l**3 + 8*l**3 - 7*l. Let s be ((-54)\/3)\/9*(-21)\/(-6). Give s*i(m) - 6*v(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1852 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 30*o - 679. Let y(k) = 12*k**2 - 7*k + 7. Let h(q) = -4*q**2 + 2*q - 2. Calculate o*h(p) + 6*y(p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(3) + sqrt(3) + (sqrt(48)*2 - sqrt(3))**2 + 1)*5.\nAnswer: 10*sqrt(3) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1036 = -10*h - 4*h. Suppose 0 = 4*n - n + 105. Let t = n + h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-66) + -1*(-13)\/(-11). Sort a, 5, 2, -3 in decreasing order.\nAnswer: 5, 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9091443?\nAnswer: 3, 19, 159499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus 123?\nAnswer: 123.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k**3 + 3*k**2 + 4. Let c(x) = -8*x**3 - 2*x**2 - 3. Let w = -254 + 259. Suppose -2*s = -9*q + w*q + 12, 0 = 2*q + 2*s. Determine q*i(y) + 3*c(y).\nAnswer: -6*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 230*t - 2288. Determine x(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4365, 4369, 4371, 4371, 4369?\n\"Answer: -x**2 + 7*x + 4359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + f = -3*m - 2, 4*f + 8 = 4*m. Let p(x) = -2 + m - 5*x + 0*x - 4. Calculate the remainder when p(-7) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h + 45. Let c(g) = 8 + 14 + 14 - 35. Determine -90*c(s) + 2*p(s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3645.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -118\/15?\nAnswer: -118\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45574 + 117901*c + 45574.\nAnswer: 117901*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16528689 is divided by 1010.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -38, -113, -260, -503, -866?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 - x - 9. Let t be v(-5). Let r be (10\/(-15))\/(t\/(-3)). Which is the nearest to -2\/7? (a) 0.5 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22568 by -868.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/9)\/(28\/(-105)). Let p(s) = 3*s**3 - 3 + s + f - 7*s**3 + 3*s**3 - 8*s**2. Let a be p(-8). Sort 3, 5, a in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 338 + -277. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-112)\/63) + -13 + -5 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - (0 + 9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4083, 4084, 4085?\nAnswer: 4086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - y**2 - 9*y - 19*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571122, 1142249, 1713376, 2284503, 2855630, 3426757?\nAnswer: 3997884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18121, -21354, -26735, -34264, -43941, -55766?\n\"Answer: -1074*k**2 - 11*k - 17036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1733243239766818 and 0.1.\nAnswer: -1733243239766817.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*o + 12, 22 = o - 0*o + 5*a. Let q be o\/8 + 25\/(-4). What is the units digit of 1\/(-1 + q\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-10 - (-3 + -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*y + 5, 2235*y = 2235*y + 5*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w + w + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -c02?\nAnswer: -ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + l = -4 + 1, -l - 3 = -3*x. Let u be 2 + x + 0\/1. Suppose 8 = -0*f - u*f + 5*y, 2*f + y = 16. What is the remainder when 16 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1536 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2419534?\nAnswer: -1\/1209767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37837, -37851, -37877, -37921, -37989, -38087, -38221, -38397?\n\"Answer: -c**3 - 7*c - 37829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(-11))**(18\/11) assuming c is positive.\nAnswer: c**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 2*z. Let q be x(-3). Suppose 0 = q*l + 6, 0 = -h + 3*l - 3 + 11. Solve -h*j - 4 + 0 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**6\/10 - 24*y**5\/25 + 12*y**4\/5 - 2*y**3\/5 - 51*y**2\/10 + 6*y + 144. Let a(c) = 0. Calculate c.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:37 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.849 + 282111.\nAnswer: 282110.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -17361762\/43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(1 - 1 - 9*n)*(0 + n**3 + 0 + n**4).\nAnswer: 18*n**5 + 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**4 + 26214*m**3*r**3 + 3447*r**3 - 6 wrt m.\nAnswer: -12*m**3 + 78642*m**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337842 to the power of 1\/2, to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6999.00018236 - 6999. Round g to 6 dps.\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5\/4, -2, 2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*r + 11, 5*u - 5*r = 9*u + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwj when three letters picked without replacement from {p: 2, h: 4, j: 2, w: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, and 2 a when four letters picked without replacement from yaaabyvyyb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.6 - 3.\nAnswer: -22.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2 - 51048*z - 325737288 = 0 for z.\nAnswer: -12762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 63 = 4*x. Let u be 410\/14 + 6\/x. Let j = u + -10. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/272 and 53\/21216.\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19749 - 39488 + 19739 + 362*z**2.\nAnswer: 362*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 195615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101489, 101474, 101441, 101384, 101297?\nAnswer: 101174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 3*q\/2.\nAnswer: -q*(q + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t - 588 = 18*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -139, -191, -245, -301?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10122*g - 65116 - 5738 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 324390.\nAnswer: 973170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2345 - -2341. Which is the biggest value? (a) -0.081 (b) -3 (c) 4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a - 68. Let i(s) be the second derivative of s**4\/12 + 24*s**2 + 5*s. What is the remainder when i(0) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4524 and 8671?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -3*u. Let l be u + -3 + (2 - -2). Find the second derivative of 0 + 34*b + 0 + 6*b**l - 35*b wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 7*b. Let v(y) be the second derivative of y**3\/6 + y. Suppose 20 - 18 = -8*t + 10. Determine t*k(c) - 5*v(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/3 - -1)*79\/(-7) and -17\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 + 9*g + 4*g + 28*g + 281.\nAnswer: 41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z + 1400000. Let h be n(0). What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)*g*g**(3\/5))\/(g\/(g**1\/g))**(11\/3) assuming g is positive.\nAnswer: g**(-373\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52335*r**3 + 20*r**2 + 2*r - 1415546 wrt r.\nAnswer: -314010*r + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6\/41, -0.5.\nAnswer: -5, -0.5, 6\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 1530?\nAnswer: -16830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**2 + 18*x + 24. Let r(n) = -11*n**2 + 18*n + 24. Let v(l) = 6*r(l) - 7*y(l). Factor v(o).\nAnswer: -3*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - -48.1.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5455 + 1.172.\nAnswer: 9.7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-41939.\nAnswer: -167756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6054386.\nAnswer: 2, 13, 232861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1696, -3506, -5314, -7120?\n\"Answer: w**2 - 1813*w + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42.4 from -7.1.\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:13 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70)*-1 + sqrt(70) + sqrt(70))))*-6 - sqrt(70))\/(-1*sqrt(1440)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 2*c**2 + c + 1. Let h(g) = 6*g**3 + 7*g**2 - 4*g - 5. Let z(m) = -h(m) - 5*v(m). Give z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(4\/5)*j)\/(j\/(j**3\/j*j*j)))**(1\/12)*(j*j**(-2)*j*j*j*j**2)\/(j**(4\/3)\/((j**(-2\/9)\/j)\/j)) assuming j is positive.\nAnswer: j**(167\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0 - 2 + 0 - a + 1. Let k be h(-5). Let s = -0.2 + 0.1. What is the nearest to s in k, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwapeeeaa. What is prob of sequence ea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 7062286.\nAnswer: -16\/3531143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 434672 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.07, 7, -1\/138, 11, 21?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmecsmmemoosccmcl. Give prob of sequence cls.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130328145 is divided by 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**0*w)))**7\/(w*(w*w**1*w)\/w)**25*(w*w**(2\/5))**25\/(w**(2\/7))**(-27) assuming w is positive.\nAnswer: w**(-177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 84?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8. Is r + (73 - (2 - 5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7698450 a multiple of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74883649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 - (-9 - -35)) + -19 + 27 + -6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + -5 + 5 + 8 + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47029 or -47028?\nAnswer: -47029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -9 + 2 + 13 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6 and 2\/69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*f - 3, 3*o = 2*f - 2*o - 26. What is the second derivative of -6*z + 0*z + f*z - 3*z**3 + 4*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 = -3*j, -11*j + 12 = -7*j. Solve -5*x = 4*a - 4, -5*a - 3 = -t*x - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -19 (b) -37965 (c) -5 (d) -1 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45253, 90644, 136035, 181426, 226817?\n\"Answer: 45391*b - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*n**2 + 60*n**2 - 148*n**2 + 55*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -606, -1402, -2400, -3612, -5050?\n\"Answer: -2*n**3 - 89*n**2 - 515*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 12*r**2 + 21*r + 9. Give p(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139319271?\nAnswer: 3, 7, 13, 41, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 52\/57?\nAnswer: 52\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10035*a**4 + 146324*a.\nAnswer: 120420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 32*y**2. Let r(m) = 26879959*m. Give r(c(f)).\nAnswer: 860158688*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -6, 0.3, -0.4, 0.56?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Let h(j) = 4*j + 5*j - 2*j - 5*j. What is u(h(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(f - 2*f - f)*(-4 - 1 - 1)*(-3 + 1 + 0) - 14*f - 12*f - f.\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -45. Let t be o\/18 + -2 - 2\/18. Sort 1, -4, t, 7 in decreasing order.\nAnswer: 7, 1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 4 - 6 - 6*c - 2*c**2. Let o be g(-4). Let n be (o\/10)\/((-2)\/5). Is -1 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 - 2*h - 6. Let q be u(-6). Let o = 0 - -4. Suppose 0 = o*g - q - 2. Solve g*w - 25 = 7*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4962\/(-4)*82\/123 + -5. Is 32 a factor of (k\/(-130))\/(3\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-194598)\/(-12) + 9)*(-8)\/(-12)?\nAnswer: 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216 (base 7) to base 16\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/6 (b) -2 (c) 5 (d) 3\/5 (e) 2.311\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 321760349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44491603826 and 0.4?\nAnswer: 44491603826.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + t = -1, 5*i + t + 4070 = 4085 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(260\/128 + -2). What is the greatest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {j: 4, i: 3, d: 2, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*l**2 - 94*l**2 - 26*l**2 + 11*l**2)*(2*l**2 - 4*l**2 + 9*l**2) to the form s*l**2 + c*l**3 + f*l + x + n*l**4 and give n.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.06, -73, 3, 19 in decreasing order.\nAnswer: 19, 3, 0.06, -15, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1850.57 and 0.5.\nAnswer: -925.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + b511aa?\nAnswer: b511ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 21*w - 141. Let c be x(15). Is c > -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.72 - -0.52. Let p = 4.077 + -4.477. Sort p, 1, 30, m in descending order.\nAnswer: 30, 1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 761240 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*o - 4 = o, 0 = -2*n - o + 29. What is the smallest common multiple of n and 12*(-2)\/(-4)*3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 264, 575, 1006, 1557, 2228?\nAnswer: 3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {m: 1, c: 9, u: 1, e: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*r**3 - 27*r**3 + r - 29*r**3 + r.\nAnswer: 43*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6335 + 524?\nAnswer: -5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 12751\nAnswer: -14\/12751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, z: 12}. Give prob of picking 2 z.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28864 divided by 1804\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.19 + 5.6. Let x = w + -0.01. Let f = x - 0.4. Which is the nearest to f? (a) 0.5 (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/((-3432)\/(-598)) + (855\/(-30))\/19\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2691.\nAnswer: 5\/2691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22961 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.7\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -244 - -490. What are the prime factors of o?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/33)\/(1\/(-6)). Solve b*c + 11 = d - c, 0 = d + c - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -1\/5*v**2 - 3\/5 + 4\/5*v = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 - (8 + -12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 13*d**5\/20 + 162*d**2 - 3*d + 2. Let k(m) = -351*m**2. What is -26*g(x) - 3*k(x)?\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 - 6*s**2 + 4*s - 5. Let p(y) = 8*y**3 + 11*y**2 - 7*y + 9. What is -7*m(i) - 4*p(i)?\nAnswer: -4*i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 11*s. Let z(m) = -5*m**2 + 10*m - 1. Let x(t) = 6*p(t) + 7*z(t). Let n be x(-8). Solve -3*l + n = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23494130 and 26030.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.097 and 72?\nAnswer: -222.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193852307 to the nearest integer?\nAnswer: 13923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:14 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 28*l**2 + 162*l - 22. Let x be t(-33). Calculate the highest common factor of x and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231.7 - -231.70001463. What is o rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.04 + -0.04. Let n = 36 - 39. Which is the third smallest value? (a) y (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28619 - 21973. Calculate the least common multiple of m and 10.\nAnswer: 33230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/125)\/(1\/(-115)*2\/1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -569 (c) -1\/3 (d) 1\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1, -6, 4, -5, -1743?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709192533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -102682.8 rounded to the nearest 1000?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34259 is divided by 16935.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 6*i + 2. Let l = -411 - -417. Calculate the least common multiple of f(l) and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, o: 4, r: 6, z: 2}. What is prob of picking 1 o, 1 r, and 1 z?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21322 (base 14) in base 9?\nAnswer: 132004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1104105 milligrams to tonnes.\nAnswer: 0.0000000001104105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*g = -3*o - 195, -o + 2*g = -64. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22839 + 270702. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6846 divided by 6?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008273 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2 + (5 + 1 - 4)*(0 + 5 - 3) - 68 - 69 - 12)*(-5*p + 4*p + 3*p).\nAnswer: -294*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 20*l - 11*l. Let s = -15 + 25. Calculate the remainder when s is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*f - 7, 2 + 6 = 2*t. Sort f, -3\/2, -5, 0.1 in ascending order.\nAnswer: -5, -3\/2, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-212)\/(-1749))\/(390\/143).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-2))\/((-2)\/25). Suppose -j = -3*f - 2*f. Solve -f*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 9*i - 8. Let j be k(-8). What is the closest to 0.1 in j, -6\/5, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 39, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 59023897 and 59023897 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 40 - w - 295 + (4*w - 3*w - 2*w)*(3 - 2 - 3) - 3*w + 4*w + w as k + g*w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 38 = -18. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 768\/(-32)*1*2\/(-4). Solve -5*j - 7 = -c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 0. Suppose -33 = -3*o - 3*g, 5*g = -2*o - 1 + 8. What is the highest common factor of m and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67e9 - 7?\nAnswer: 67e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 18 = -4*c - 2*g, 3*g - 756 = -8*c - 662 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 6*c**2 - 6*c + 22. Let z = 37594 - 37592. Determine d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffw when three letters picked without replacement from fwffffwffff.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a + 3*j - 132, -2*a = 5*j - 103. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + 165 + 3*j**2 - 277.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/34*340\/15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11024 + -4?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5\/7 - 28*t**4 - 760*t**3\/7 - 752*t**2\/7 = 0.\nAnswer: -94, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4903 + 4921. Calculate the lowest common multiple of 116 and z.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = -5*k. Suppose 0 = -b + 2 + 2. Sort b, k, -1 in increasing order.\nAnswer: k, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -2*x + 10 - 4*x**2 + 1\/6*x**3. Let w(q) be the first derivative of l(q). Give w(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 minutes before 5:37 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 0.02622 times 2\nAnswer: 0.05244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(0*d**3 + 0*d**3 + d**4) + 0*d**3 + 2*d**4 + 0*d**3 + d**4 + d - d + 8*d**4 - 34*d**4 + 0*d**4 + (-6*d**2 - 16*d**2 + 7*d**2)*(4 - 4 - d**2).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - z)*(2*z - 3*z + 2*z)*(-z**3 - z**2 + z**2) - 14*z**5 + 29*z**5 + 48*z**5 + (-3*z + 4*z + z)*(-z**4 - 2*z**4 + 2*z**4) - z**5 - z**2 + z**2.\nAnswer: 61*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.43 - -36.45. What is z rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 256430, 512862, 769294?\n\"Answer: 256432*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from vqvvqiqqiiiqqii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/27 + -1*(-6)\/(-18). Sort -0.7, -11, 5, u in decreasing order.\nAnswer: 5, u, -0.7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - b + 2 + 0*b - 6*b + 4*b + (8 - 2 + 10)*(0*b + b - 2*b) to the form g + d*b and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 420 = 406 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v**5\/11 - 4*v**4\/11 - 98*v**3\/11 + 112*v**2\/11 - 24*v\/11 = 0. Calculate v.\nAnswer: -3, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -2 + 7\/1. What is the common denominator of 3\/9*12\/(-32) - 0 and (2\/f)\/(6\/134)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.080645?\nAnswer: -0.48387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m. Let l(w) = -w**2 - 2*w - 2. Let h(i) = -3*i - 3. Let k(a) = -2*h(a) + 3*l(a). Give o(k(f)).\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(-1 + sqrt(128) + -2 - sqrt(128)) + 1 + -5)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*l + 32 = 0, -17*r + 118 = -3*l - 182 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/480 + 233*w**5\/16 + 1357225*w**4\/32 + 1581167125*w**3\/24 + 744*w**2 + 3*w - 1. Factor y(z).\nAnswer: (z + 1165)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -80.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -41. What are the prime factors of 2331\/18 - (-1)\/u?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 173.64. Let x = 0.36 - z. Let v = -0.1 - -5.1. Which is the third smallest value? (a) v (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/2 + 4*k**2 - 13*k\/2 + 3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -84*g**3 - 11*g**2 + 86*g - 6. Let j(m) = 84*m**3 + 11*m**2 - 100*m + 7. Determine 6*j(u) + 7*k(u).\nAnswer: -84*u**3 - 11*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -629 - 19. Suppose -1 - 39 = -2*k. Suppose -4*y - k = y, j = 3*y + 21. Calculate the highest common divisor of a and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10588*k + 63551. What is i(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0566 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52046 + 30120. Let z = t + 855037\/39. Calculate the common denominator of 69\/2 and z.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7687\/927 - 3\/206. Find the common denominator of (12\/(-16))\/((-9)\/274) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293130 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 20*l - 26. Determine h(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) -2540 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -99, -81 in increasing order.\nAnswer: -99, -81, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 + -37. Calculate the common denominator of 3\/(-159 + -3)*s and 151\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2 - 5*q - 15. Let l(m) = m**2 - m. Let o(s) = -5*l(s) + w(s). Give o(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351994501 a multiple of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 7*x**2 + 8*x - 3. Let m be s(6). Calculate the highest common divisor of m and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2578558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 4*g - 32 = 0, 5*p + 2*g - 54 = 0. What is the highest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 5\/436411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 4. Let i be x(-2). Let d(j) = j**2 + 3*j + 6. What is the remainder when 34 is divided by d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 24\/18) + (4\/3 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5694 and 41737896?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -7 - 5. Let j(u) = -21*u**3 - 2*u**2 + 1. Give j(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 - 4069329*x**4 + 157*x - 392250 wrt x.\nAnswer: -20*x**3 - 48831948*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/1)\/((-12)\/(-9)). Suppose 0*q + 1\/2*q**2 + 9\/4*q**4 + 0 + 11\/4*q**p = 0. Calculate q.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 71 = -5*m + 92, 0 = -r - 142*m - 281 + 704 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.675*-49942.\nAnswer: -33710.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5 = -4*z - 7, 2*t = -2*z - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2507 = -3*l, -4*g + 921 = l + 102. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 4) + 11 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = 2*k, 5*k = -0*k + 2*l + 43. Let h = 130 + -123. What is the highest common factor of h and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*33*-5*(-124)\/(-930)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 116.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*v - 1934 - 1918 = 0 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -88909466?\nAnswer: 355637864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + (-1)\/(-3). Let g = -126 - -128. Let l be ((-3)\/36)\/((-2)\/(-10))*g. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*n + 18492, 2*u = 7*u + n - 23111. Suppose 9*l - u = -1346. List the prime factors of l.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/7 - 5505\/30828. Factor -1 + r*k**2 - 3\/4*k.\nAnswer: (k - 4)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 15*l**2 + 16*l - 17. Let j be p(14). What is the greatest common factor of 99 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m + 1. Let x be -3*(m - (-2)\/(-3)). Calculate the remainder when (-24)\/(-3) - (-1 + x) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-92)\/(-12) + -1)*3. Let b be (-4)\/r + (-102)\/(-10). Solve -s - s = b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z**2 - 6. Suppose -3*f - 12 = 0, -4*s - 2*f = -9*s - 22. Suppose 2 = 4*m + 6. Let o(u) = u**2 + 1. What is m*h(a) + s*o(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*i**4 + (1 - 2*i - 1)*(0*i - i**3 + 0*i) + 323*i**4 - 7767*i**3 + 7767*i**3 - 3*i**4 + 2*i**2 - 2*i**2.\nAnswer: 324*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1343*j**2 - 1338*j**2 - 1348*j**2 - 1339*j**2 - 1338*j**2 + 6713*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53104, -52417, -51730, -51043, -50356?\nAnswer: -49669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3 + 100252*p**2 + 789266240*p + 1864529811200 = 0?\nAnswer: -10360, -4343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12903, 51858, 116783, 207678, 324543?\nAnswer: 467378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - y = 45 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 4*m + m - 3*m + 0*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*5\/(-3)*(-16)\/(-40). Let t(r) = -12*r**2 + 5*r**2 + 8*r**c. Let f(k) = 2*k + 2. What is f(t(g))?\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = 4*s, 9*s + 17 = 2*k + 4*s. Let r be 216\/(-28) - 4\/14. Let x = k - r. What is the smallest common multiple of x and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 4*m - 18. Let h be j(7). Suppose -256 - 296 = -h*g. Round g to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 3*z**2 - 140*z - 131. Let r be n(-13). Which is smaller: r or 2\/4591?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0178 and -1582322714.\nAnswer: -1582322714.0178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17570252065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -33. Factor 3\/4 - 3\/4*z**4 + 0*z**r + 3\/2*z - 3\/2*z**3.\nAnswer: -3*(z - 1)*(z + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6181518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 886 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-10)*(-240)\/(-18). Solve 3*y + y = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216744593 to the nearest integer?\nAnswer: 14722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.04 + 6. Sort i, -1, -3\/5 in increasing order.\nAnswer: -1, -3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(605) + 0))**2 + ((sqrt(720) + 1)*-6)**2.\nAnswer: 864*sqrt(5) + 47736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58688 and 16244.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 634758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7716, -15475, -23234, -30993, -38752?\nAnswer: -46511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*m + 65, -3*m + 39 + 47 = -4*s. Suppose 3*l - 45 = 12. Let i = l + s. Let t(y) = -2*y + 1. Determine t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-103)\/(-3) - (-6)\/18. Let o = -35 + d. Suppose 3*u + 0*z = -3*z, 3*u - z - 16 = 0. Which is the smallest value? (a) -2\/15 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41\/8 - -269\/8. What is the common denominator of y and 3*(-2 - (-3)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*m**2\/5 - 138*m\/5 + 5168\/5.\nAnswer: -2*(m + 17)*(13*m - 152)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from {u: 4, d: 2, c: 7, p: 5}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1623152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*w - 3*w = 40, 3*a + 42 = 3*w. Let n be 102\/a*-3 - -5. Calculate the highest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1530972076 divided by 4.\nAnswer: -382743019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 587.8 + -588. Which is the smallest value? (a) k (b) 1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 585*k - 6 + 3 - 4975*k.\nAnswer: -4390*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 180 = 12*k. Suppose 0 = k*j + j - 1068. List the prime factors of j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.2786 decades in millennia?\nAnswer: 4.182786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49885371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2727 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 300*h + 8918. What is i(-44)?\nAnswer: -4282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65778 + 6?\nAnswer: -65772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + (-26 + 44 - (19 + 12)) - 18.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (364\/(-10))\/((-66)\/(-30) - 2). Let o = -169 - t. Let f = 20 - -19. What is the remainder when f is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2589*t + 37722 + 195288 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-798)\/72)\/19*13110\/(-3059)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15683*a**2 + 15695*a**2 + 8059*a - 4031*a - 4028*a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 42183\/2580)\/((3 + 0)*(-4)\/(-20))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:23 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/168 and (-312)\/(-2964) - 2576\/(-5130).\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.955381 rounded to one dp?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(4\/5))\/z*z**3*(z**(-2\/47))**0 assuming z is positive.\nAnswer: z**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(272) + 4))**2.\nAnswer: 896*sqrt(17) + 5136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/11 smaller than 21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 28*z**3 - 48*z**2 + 188*z - 110.\nAnswer: -2*(z - 1)**2*(z + 5)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 744 + -735.68. Let g = l - 10.32. Which is the third biggest value? (a) 2 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -11. Suppose s*b - 10 = -5*b. Let x be (2 - (0 - b)) + 0. Solve -x*r + 10 = -2*n - 0*r, -n - 3*r = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5603268 millilitres in litres?\nAnswer: 0.0005603268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20657 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135884 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.436 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 36286084*z**2. Let d(r) = 2*r**2. Calculate b(d(u)).\nAnswer: 145144336*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 411421*g*z**2 + 62121*g + 33 wrt z.\nAnswer: 822842*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*p - 36590*f + 151159*p with respect to f.\nAnswer: 2*p - 36590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -105. Suppose -34 = -m*q + 7*q. Solve q + 2 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.5 - -30. What is the third smallest value in 5, g, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i = -33*i + 3. Let w be 2\/6 + 231\/63. Solve -i + w = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2692450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {v: 3, r: 1, m: 4, x: 1, u: 10}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -232532, -232533, -232534?\n\"Answer: -t - 232531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/59 + -179\/118. Let p = -4.3 - -2.3. Which is the biggest value? (a) 0 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164256 and 1018045.\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 16, -86, 1, 4, 9 in increasing order.\nAnswer: -86, -22, 1, 4, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21791 - 23251.7. What is i rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 1:18 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12132.051 months to years.\nAnswer: 1011.00425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 29. Which is the third smallest value? (a) 0.4 (b) 2 (c) i (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 794948, 1589912, 2384886, 3179870, 3974864?\nAnswer: 4769868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-3)\/54*(-207)\/3)\/((-1)\/1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 24 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21*3176.52\nAnswer: -66706.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 403880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - (12 + -4)) + 1 + 0. Solve -i*g - 2*g = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -19*k + 6*k + 5*k + 5*k. Let d(n) be the second derivative of 0*n**2 + 2*n + 0 + 0*n**3 + 1\/12*n**4. What is c(d(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b39d6 (base 15) to base 2.\nAnswer: -1010110111001001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1077136)\/936)\/46 - 84\/(-4914)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, 530, 1786, 3040, 4292, 5542, 6790?\nAnswer: 8036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*8*4\/16*(-8)\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(3\/7)\/s**5)\/((s\/(s\/s**(2\/21)))\/(s*s\/(s**(1\/3)*s))))**(-10\/13))**(28\/5) assuming s is positive.\nAnswer: s**(224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*n**2 - 2*n + n - 78 + 79)*(-2*n + 0*n - 2*n).\nAnswer: 60*n**3 + 4*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) 0.5 (b) -1\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 - 17*u - 143. Let j be g(-14). Let p = -474 - j. What is the lowest common multiple of 7 and p?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3*i - 11*i + 7*i)*(0*i - i - 2 - i) in the form g + l*i**2 + b*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1777132 + 4*p**2 + 1777132 + 2492*p**3 to the form f + c*p**3 + l*p**2 + o*p and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6616180*w**3 + 28*w - 71063 wrt w?\nAnswer: -39697080*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 120, -5, 0.29, -2 in decreasing order.\nAnswer: 120, 0.29, -1\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140396024?\nAnswer: 2, 31, 211, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 18. Let k be m(5). Solve -k + 1 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-32 - (-39 + -2)) + -16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o + 14*o**2 - 6*o**2 + 14*o**3 - 13*o**3 + 10. Let b be t(-7). Determine u so that -32\/5*u**b - 8\/5 - 16\/5*u**4 + 12\/5*u**5 + 24\/5*u**2 + 4*u = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 735\/2 + -3671\/10. Which is greater: z or -2.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k + 0*k**4 - 1 - 5*k**4 + 4*k**3 + 0*k**4 + 10*k in the form y*k + h*k**2 + z + x*k**3 + d*k**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 3*a - 2*a - 4*a**3 + 7*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5676 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/117 and -20\/5237999?\nAnswer: 47141991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(-6\/17)\/((x*(x\/x**(-3\/7))\/x)\/x)**(3\/28) assuming x is positive.\nAnswer: x**(411\/16660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -167. Let a(l) = 2*l**2 - 4 - l**3 + l - 2*l**2. Determine a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -7\/11?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -874.3 to the nearest ten.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56568\/(-884) + 12480\/195.\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-2)\/4)\/((-7)\/21). Calculate the remainder when ((-1)\/r*70)\/((-16)\/(-24)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12002331 + -10?\nAnswer: -12003001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258609\/2 not equal to 629305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 + 20*p - 750.\nAnswer: (p - 30)*(p + 150)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -91. Is t bigger than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -515? (a) 0.2 (b) -0.3 (c) 159 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1036769\/24 + 43205. Suppose 5*p - 30 + 10 = 0. What is the common denominator of (-175)\/120 + (-6)\/p and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -367 + 391. Suppose -t*u + 28*u = 23612. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 8\/(-4))*-20. Let z be (m\/(-6) - 3)\/((-1)\/(-1146)). Suppose 5*v + 4*l - 642 = l, -5*l + z = 3*v. What is the remainder when v is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 16 = 40. Suppose -2*g + 2*f - h*f = -683, 4*g - 4*f - 1408 = 0. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1\/28, -6 in increasing order.\nAnswer: -6, 1\/28, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*s - 604*s - 17 = -o, -5*o - 107*s = -2227 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*i + 22, -5*n - 3669 = 5*i - 3674 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 120*c - 3. Let d be w(2). Let u be 4\/(-32) + d\/(-24). Let o be (3\/(-3))\/(-6 - -5)*-9. Is o equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 429, 420, 407?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 21. Put -5, b, 3 in decreasing order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 960 divide 372336000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4402599906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*24\/8. What is the second derivative of -h**3 - 3*h**3 - h**3 + r*h + 4*h**3 wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14764516 (base 8) to base 7.\nAnswer: 40626356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 72 = 33*n. Solve 2*c - n*c - 2*d = 2, 4*c - 4 = -2*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 + 64*l - 142. What is the tens digit of i(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 3*f**2 - f - 2. Let p be z(2). Let h = 16 + p. Let v(l) = 5*l + 22. Let c be v(10). What is the greatest common divisor of h and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/108 and -167\/68130.\nAnswer: 408780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r - 16 = -38*r. Let h(w) = 2*w**3 - 2*w**2 - 2*w + 1. Let v be h(2). Let f be v*1*3\/(-5). Sort 3, r, f in descending order.\nAnswer: r, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, e: 9, i: 1, t: 3}. Give prob of picking 1 h, 1 t, and 1 i.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10, -0.4, -4\/47, -3.4, -3\/4?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2\/45 (c) 88 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -7, -829 in ascending order.\nAnswer: -829, -14, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 13 + 0 - 1)*(-5 - 3*n**2 + 5)*(1 - 1 - 2*n).\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.2, 4658, -4, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + l**2 + 2*l + 2. Let n(g) = g**3 + 3*g**2 + 0 - 5*g**2 - 3*g - 3. Let v(a) = 3*h(a) + 2*n(a). Find the third derivative of v(b) wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 45, 103, 183, 285, 409?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -213*s**2 - 5113*s - 19. Give d(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 987 - 94 = -4*t, -4*f = -4*t - 892. Let c = -92 - t. Suppose -4*h = c - 444. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 - -96. Suppose 2*h = -4*w - 7 + z, 3*w - 9 = -2*h. Factor -o**2 + 3*o**2 - 5*o**2 + 0*o**3 - o**w - 2*o.\nAnswer: -o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**4 + t - 1. Let b(c) = -c**4 + 36*c**3 - 100*c**2 + 111*c - 43. Let p(m) = b(m) - 3*s(m). Factor p(w).\nAnswer: -4*(w - 5)*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 + 10*j + 2. Let t(k) = -11*k + 216. Let v be t(20). Let b be n(v). Calculate the highest common factor of 350 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.702 + -0.002. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(168)\/sqrt(6) + 5.\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (1 + 13)) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/2 - 4413*w + 79677\/2.\nAnswer: -3*(w - 9)*(w + 2951)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 = 4*i + 112. Let f(a) = -37*a + 818. What is the smallest common multiple of f(22) and i?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44009 - 879409\/20. Let q = f + -13163\/360. What is the common denominator of 64\/3 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 9. What is the nearest to 1\/2 in 3, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 4, 0.5, -13\/3, -128?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000332241523 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -318261 (base 9) to base 8\nAnswer: -562475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*s - 5*s + 3*s)*(3*s**3 + 0*s**3 - 2*s**3 + (-3*s + 2*s + 2*s)*(-403*s + 403*s - 104*s**2)) to i + l*s + u*s**3 + d*s**2 + p*s**4 and give p.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**(-2\/11)*(s**0*s)**(16\/5) assuming s is positive.\nAnswer: s**(156\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*x - 163*x + 395*x - 145*x)*(-3*x**3 - 3*x**3 + 5*x**3).\nAnswer: 40*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2853 - -2853 - (-1 - (0 - 1) - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - l = -112, -28 = -4*d + 3*d + 2*l. Let u(o) be the second derivative of -d*o**2 - 7\/5*o**5 + 0 + 40\/3*o**4 - 34*o**3 - 17*o. Factor u(b).\nAnswer: -4*(b - 3)**2*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from zttaztztttzaa.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 23849 = -l + 57*j, -3*j = 4*l - 95396. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**3 + 27*i**3 - 312*i**3.\nAnswer: -308*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14207 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4 - 3*m**5 + 5*m**5 + m**5 + m**3 - m**3 + (2*m**3 + 0 + 0)*(-2*m**2 + 3 - 3).\nAnswer: -m**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/12 - 247*p\/12 - 105.\nAnswer: (p - 252)*(p + 5)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/4 + 1453*v\/4 + 1451\/2 = 0. Calculate v.\nAnswer: -1451, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11175758 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -111?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111000111010 - -11?\nAnswer: -1110111000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Suppose -5*d + n*u = -62, 0*d + 2*u - 2 = -d. Suppose -3*i + 2*i + d = 0. What is the remainder when 37 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 33*o = -112. Let k be ((-6)\/7)\/(((-12)\/o)\/3). Let z(b) = -26*b - 44. What are the prime factors of z(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2810*z**2 + 7*z + 6. List the prime factors of h(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 1892.1119568.\nAnswer: 1887.1119568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 355, 801, 1435, 2263, 3291, 4525?\nAnswer: 5971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/288 and 103\/1056?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1841 and 664559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*r*v**3 - 42875637*i*r*v**2 - 94*i*r*v + 8*i*r + i*v - 9*i - 4*r*v - 116*r - 2 wrt v?\nAnswer: -6*i*r*v - 85751274*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9286 is divided by 49?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 4*l**2 + 2*l - 7. Let i be g(-4). Let j = -33 - i. Let a = j - -26. Solve a*w = 3*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 23 - 3 = 0. Suppose -214*l = -208*l - 5 - 19. Solve h - q = 0, 2*q - l = v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 20\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Let d = o + 0.1. Let z = -5.5 - -5. Sort -3, d, z.\nAnswer: -3, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) 0 (c) 0.2 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173930 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -808\/13. Let f = 872\/1991 + 3\/181. Let t = f + -26\/33. What is the closest to t in 4, h, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -239460857.\nAnswer: 1\/239460857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.5, 1.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 354015041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 40, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 28 = 2*n. Suppose -n*s + 4*s - 24 = 0. Suppose -p + 0*p + 2 = 0. Which is the second biggest value? (a) 1\/4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 78. Let n = -32 + 60. Let c = n + y. Put c, -0.4, -0.16 in decreasing order.\nAnswer: c, -0.16, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -11 (c) 0.3 (d) 2\/165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1474 and -1\/2.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 9. Let n = 8 + -5. Which is the nearest to -2\/9? (a) j (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 0, -38, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49764462 a multiple of 2803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72957\/13 + -5615. Let p = 113\/52 + y. Let l = 61 - 243\/4. What is the closest to 0 in -0.4, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {f: 4, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2945\/4123 - 508\/84\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 884 - 24. Does 99 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/15168 and 109\/24?\nAnswer: 15168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 22, 18, 12?\n\"Answer: -z**2 + z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -28*u + 20*u + 5*u + 30*u. Let a(k) = k. Determine a(b(i)).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 30. Let i = -16243 - -16243.1. Which is the nearest to i? (a) -5 (b) 1\/8 (c) 3\/16 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6344 and 5122.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1\/3, 3\/14, 2\/13, 2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a - 17. Let v be g(5). Suppose v*m - 7*m - 200 = 0. Let u = m + -123. What is the greatest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*p - 312 = 4*o + 91*p, 2*o + 5*p = -142. Suppose -2*s = -s + 181. Let h = o - s. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let u(m) = 11 + 46 + 67*m + 67*m - 184*m + 46*m. Calculate u(v(t)).\nAnswer: -8*t + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 8 + 20*y**3 + 6.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + 7*c + 4. Let l be (1 - -17)*(-5)\/5. Let u be l*(44\/12 + -4). Suppose -4*q = 24 - 4. Let z(g) = 4*g**2 + 6*g + 3. Determine q*t(x) + u*z(x).\nAnswer: -x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -73. Suppose 440 = -3903*i + 3923*i. Find the third derivative of -20*z**4 + 4*z**2 - k*z**4 + i*z**4 wrt z.\nAnswer: -912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1230613 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 divided by -34?\nAnswer: 167\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = z + 3425, -z + 2560 = 4*q - q. Does 45 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1274 and 392.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18353455 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 6*z - 2*z**2 - 8\/3*z**3 - 28. Let s(l) = -l + 6. Let f be s(0). Let j(q) = 15*q**2 + 7*q - 11. Calculate f*j(r) + 11*n(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 + 4102502?\nAnswer: 4102352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-10))\/((-4)\/10). Find the second derivative of -i + 4*i**4 - 3*i**v + i**4 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s = -38 + 2. Which is the nearest to -2? (a) s (b) 0.2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*p - 73*p**2 + 5*p**3 + 75*p**2 + 0*p + 0*p to u*p**3 + z*p**2 + k*p + t and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/24 and 131\/50180880?\nAnswer: 50180880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -748 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303734 (base 15) to base 4.\nAnswer: 20233003102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 3*w**2 + 28*w - 45*w - 25. Let i be a(-20). Let z = i - -101. Solve 4*u - 4 = -z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 7228?\nAnswer: 7245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903224 is divided by 903157.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.4 + 10.1. What is the third biggest value in -2, z, -8\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + -261102498202\nAnswer: -261102498201.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25500 (base 7) in base 4?\nAnswer: -1221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d**(3\/2) assuming d is positive.\nAnswer: d**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2*y - 39478020*q**2 - 2*q*y - 106852083*y - 1 wrt y?\nAnswer: 2*q**2 - 2*q - 106852083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from tctctc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3 + 3 - j + 4 - 4. Give b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 25700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34118730 + -1?\nAnswer: -34118731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s = 20*s + 3626. Let f = s + -518. Solve f = -p + n + 2 - 9, -2*n = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6199*m - 204559. Give p(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((66\/9)\/11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Is m(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s - 2. Let d be a(-6). Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.893501 rounded to 2 decimal places?\nAnswer: 8.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20499\/5 + -4099. Let z = 9.09 + -0.09. Let y = z + -4. What is the second smallest value in y, -16, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40320\/(-1200))\/(3\/(510\/(-4))). Let v = r - 154. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84177 or 84169?\nAnswer: 84169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:43 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283.35 + -285. Let x = -1.6500357 - b. Round x to 6 decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37576 is divided by 4902.\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/256 and -37\/1176?\nAnswer: 37632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -145.\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.12 - 0.12. Let s = w + -10.54. Let m = -0.06 + s. What is m rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*3.51\nAnswer: -3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -8 (c) -38 (d) -0.02 (e) -2 (f) 0 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2. Let v(q) be the first derivative of -5 + 0*q**2 - 4*q - 1\/2*q**3. Let f(p) be the first derivative of v(p). Determine m(f(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3969 divided by -9.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(637) + 1)**2 + 5.\nAnswer: 84*sqrt(13) + 3833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*z. Suppose -2*t = 3*t - 20, -z*w + t = -5. Sort -3, w, -0.2 in ascending order.\nAnswer: -3, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 24*q - 21*q = 50, 7*b + q + 106 = -b + 4*q for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 524006911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1096 + 534. Let o be w\/(-18) - 2\/9. Suppose 0 = -j + o - 7. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 3*m - 2. Let f be q(4). Suppose -2*t - 26 = -5*y - 0*t, -t + f = 4*y. Calculate the greatest common factor of y and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -20 in descending order.\nAnswer: 9, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - 2*y**3 - y**2 + (0*y**2 + 2*y**2 - y**2)*(0*y - 3*y + y))*(-525 - 257 + 101) to the form h + m*y**2 + x*y**3 + z*y and give x.\nAnswer: 2724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1329 and 4977991?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + 17*g = -105, -2*g + 7*g = -w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270774 by 441.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - -6*(-1 + sqrt(539) + sqrt(539)))**2.\nAnswer: -1092*sqrt(11) + 91127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4465494227 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: What is the second smallest value in 1902, 5724, 0?\nAnswer: 1902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b + 35. Suppose 0 = -b*u + 4*u - 18. Let g(f) = f**3 + 7*f**2 - 9. Is 12 a factor of g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 1. Let b = -29 + 55. Let n(p) = -5*p - p + 4*p + b*p + 20. Determine n(l) - 20*w(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31808 divided by 6\nAnswer: 15904\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184\/9? (a) 0 (b) -51 (c) -0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 318064*j**3 + 6*j + 847144?\nAnswer: 954192*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 214, 380, 612, 910?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*a + 4 = 0, -2*c = -4*c - 4*a + 20. Suppose -c = -2*m - 0*m - 4*f, -m - 4*f = -16. What is q in -1\/4*q**3 - 1\/4*q + 1\/2*q**2 + m = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 375 = -3*a + 1563, -314 = -g - 5*a. Suppose 3*h + 2*h - 105 = 0. Calculate the greatest common factor of h and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.651196 * 11.3\nAnswer: 41.2585148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -839 - 3.\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 5*q**4\/12 + q**3\/2 + 9*q**2\/2 - 4*q. Let r(j) = 2*j**2 + j + 3. Let w(p) = -3*h(p) + 8*r(p). What is w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a - 3. Let w be 9\/15*(-2 - -7). Let d be h(w). Suppose 2*g = 7 + d. Solve 5*n - o = o + 15, -50 = -g*n - 5*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506665?\nAnswer: 5, 301333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26267 or -1234548\/47?\nAnswer: -1234548\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 34*f - 2. Let o = -18 - -19. Is t(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/286 and -35\/208.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450.3765km to meters.\nAnswer: 450376.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -23.15. Let n = x + -0.15. Which is the third smallest value? (a) 1 (b) -2\/15 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.21615 to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1791 - 1787. What is the closest to -10 in 1\/32, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*v - 3 + 4 + 36*v + v**2 + 64*v as h + w*v + a*v**2 and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/s)**(-4\/29) assuming s is positive.\nAnswer: s**(40\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 12 = j. Let f = 34 + j. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 + -1056.6281?\nAnswer: -1060.5281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = o. Let m be 2\/3*-3*-1. Let i = m + o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*m**2 - 435*m - 18 = 0.\nAnswer: -3\/74, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 5 = -8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-8))\/c**(-11)*(c**(-2)\/c)**(1\/17) assuming c is positive.\nAnswer: c**(65\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5036713163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9950 + 1567*o + 154*o - 1722*o to the form q*o + s and give s.\nAnswer: -9950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 195.5? (a) -0.02 (b) 0.3 (c) -0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42235 + -1520581\/36. Find the common denominator of -83\/384 and u.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4106819, 16427302, 36961441, 65709236, 102670687, 147845794, 201234557?\nAnswer: 262836976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332377432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-30))\/(4\/(-70)). Let n(x) = x**3 + 9*x**2 - 50*x - 452. Let o be n(-7). Is h greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-9) - 624\/468?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 207, 459, 811, 1263, 1815, 2467?\nAnswer: 3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 0*v**2 - 2*v**2 + v**2 + 2 + 0*v**2. Suppose 0 = -110*s + 401*s + 582. Let m(t) = -8*t**3 + 3*t**2 - t - 7. Determine s*m(i) - 7*l(i).\nAnswer: -5*i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(5 - 5 - k) - 101 + 104 - k**2 - 5*k**2.\nAnswer: -4*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = q - 5, 2*k - 3 = 5*q - 28. Let h(m) be the first derivative of k*m**3 + 4 - 23\/2*m**2 - 3\/4*m**4 + 0*m. Find the second derivative of h(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3984338043.\nAnswer: 3, 7, 29, 241, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(18) + sqrt(72)\/sqrt(4))*5)\/(sqrt(45)\/(sqrt(25)\/sqrt(5)) + -4*sqrt(27)\/sqrt(3))*-3.\nAnswer: -200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 636 + -925. Let b = -193 - -667. Let f = x + b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(19\/(-57)). Differentiate -951 - 87*q**j + 1799 - 910 wrt q.\nAnswer: -174*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:56 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 + -58?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -45, -67, -89, -111?\n\"Answer: -22*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - 70\/(-15). Suppose 5*f - a = 411, 95 = f - a + n*a. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.36 less than -24?\nAnswer: 45.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-32)\/(-12))\/(((-940)\/90)\/47). Factor -4\/5*v**2 - 1\/5*v - 1\/5*v**k + 6\/5.\nAnswer: -(v - 1)*(v + 2)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1893, 10, -116, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**4\/12 + j**3\/2 + 3*j**2. Let d(n) = -3*n + 4. Let b be (14\/6)\/((-5)\/(-15)). Suppose -b = -5*q + 13. Give q*h(w) - 3*d(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/240 and 173\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -228, -808, -1776, -3132, -4876, -7008, -9528?\n\"Answer: -194*a**2 + 2*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-442))\/(411\/(-3836)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g**2. Let w(b) = -6*b**2. What is w(o(c))?\nAnswer: -486*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100, 398, 896, 1594, 2492, 3590?\n\"Answer: 100*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let g be 4\/(-10) - 3\/30*46. Is g greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p**3 - 2*p**2 + 13. Let h(y) = 7*y**3 + y**2 - 7. What is -6*a(k) - 11*h(k)?\nAnswer: 7*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 122053 (base 6) to base 10\nAnswer: 10833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + 42\/8. Suppose -4*j = j - 15. Let d(l) = 0*l - 3 - j + 0*l + l. Determine d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -125, -238, -407, -638, -937?\n\"Answer: -j**3 - 19*j**2 + j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, -6, -5 in ascending order.\nAnswer: -6, -5, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 71 - 1\/((-4)\/(-8)). Suppose -3*p + h = -183. Let l = p + 173. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k - 158. Let n be h(18). Sort -5, n, 1, -2.\nAnswer: -5, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -41. Let w be (14\/(-6) + 2)*9. Put -11, o, w in descending order.\nAnswer: o, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 5*b - p, -4*b - 2*p + 159 = -31. Let j be 4\/6 - (-10)\/(-6). Does 13 divide b + (0 - j)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 682 - -50. Let j = 746 - z. What is the closest to -2\/7 in j, 0.4, 5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p + 3. Let z be v(-7). Let h = z + -137. Solve h*d - 6 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252 + 150. Let q = x - -103. Which is greater: q or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Suppose 0 = u*k - 2*p + 6, 4*p - 2 - 2 = 4*k. Let t = -1 + 1.4. Which is the nearest to 0? (a) k (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233422 (base 5) to base 15\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r**4 - 14*r**3 - 10*r**4 - 1 + 17*r**3 - 21*r + 2*r**4 + 60*r - r**2 to p + y*r**4 + m*r + h*r**3 + f*r**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305987668 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 5*x - 40, 4*b - 2*x = 106. Let n = b + -15. What is the least common multiple of n and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2, -3 in ascending order.\nAnswer: -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2505500?\nAnswer: 1\/2505500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) 2\/9 (b) 3 (c) -2\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -267 (b) -5 (c) 80 (d) 2\/7 (e) 0 (f) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 c when four letters picked without replacement from {p: 6, c: 1, j: 2, z: 2, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - 1. Let a(l) = -4*l**2 + 16*l - 13. Let u(m) = -m**2 + 4*m - 3. Let z(c) = n*u(c) + 2*a(c). Let d = 4 - 2. What is z(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -24*q**3 - 2*q**2 + q - 1. Determine c(-2).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(24) - sqrt(96)\/sqrt(36))*4)\/((sqrt(72) - sqrt(8))*-1 + 1*sqrt(200)) + 3)**2.\nAnswer: 16*sqrt(3)\/3 + 307\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let v(w) = -w**2 + 5*w - 2. Let i be v(k). Solve -q = -i*s - 20, 4*q - 5 = -0*q + s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*12047.\nAnswer: -409598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 - -1.9. What is the closest to 1 in -1, -4, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 4*f**3 + 2*f**3)*(0*f + 0*f + f) + (2 - 5 - 2)*(132*f - 59*f**4 - 132*f).\nAnswer: 291*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 15. Which is greater: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = 4. Solve 0*y = -2*y - 4*u - a, y - 2*u = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*x. Suppose x = -i - 4*i + 130. Calculate the highest common divisor of 130 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/185 + -5501\/1295. Let s = -1 - 3. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3 + 522*n**2 + 3561 with respect to n.\nAnswer: -6*n**2 + 1044*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -21. Let s = 4 - 0. Suppose 4*v + d = 2*d + 11, 11 = 5*v - s*d. Solve 2*h + c = -v*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-19 - -14) - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206850942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1, 162, 15, -1 in decreasing order.\nAnswer: 162, 15, 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360371 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4\/3 + 1116*a**3 - 26596*a**2\/3 + 18804*a - 33160\/3 = 0. Calculate a.\nAnswer: 1, 2, 5, 829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/8)\/(12\/64). Let u = q - -16. Let k be (-13)\/(-26) - 54\/u. Which is smaller: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41598965, 83197941, 124796927, 166395929, 207994953, 249594005, 291193091, 332792217?\nAnswer: 374391389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/2754)\/((1\/8)\/(2\/4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26957 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 4*m + 6. Let o(l) = 3*l**2 + 3*l + 6. Let g(x) = -5*o(x) + 4*u(x). Let w be g(5). Let n = -12 + w. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (332\/8)\/((-6)\/4). Let z = 28 + g. Let j = 3695.29 - 3695. Are j and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -16\/4649 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**2 + 16*y + 49. Let d(q) = 3*q**2 + 5*q + 16. Let z(t) = 11*d(t) - 4*p(t). Let m be z(11). Let c(v) = v**3 - 2*v**2 + v - 1. What is c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 3*t + 2. Let w be o(-2). Suppose -m + 5 = 5*d, 0 = -5*m - d + 5*d - 33. Put w, -3, m in decreasing order.\nAnswer: w, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3097*v - 15302 = -h + 3101*v, -4*h + 61263 = -5*v. Is h a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 20\/6 - (8\/12)\/(-1). Which is the third biggest value? (a) -6 (b) -109 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9060380 by -4.\nAnswer: -2265095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -134470000 rounded to the nearest one million?\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/3 + 2717*m**4\/3 - 1841440*m**3\/3 - 5548796*m**2\/3 - 10880*m\/3 + 7398400\/3 = 0.\nAnswer: -2, 1, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98528927*c**3 + 3*c**2 + c - 7295292.\nAnswer: 591173562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:38 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l - 4*b, 2*l - 3*b - 2 - 12 = 0. Suppose 0*h - s = 3*h - 76, -s - 92 = -l*h. Calculate the greatest common divisor of h and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Let h(l) = -116*l + 2. Determine x(h(o)).\nAnswer: -26912*o**2 + 928*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143.829 + 0.171. Let g = q + -143.849. Round g to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.4889 days in hours?\nAnswer: 7571.7336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 6. Let u be j(-5). Let b(w) = 4*w**2 - 4*w + 2. Calculate the remainder when b(u) is divided by 6*-1*(-9 - (-152)\/16)*-7.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**5\/11 - 23*z**4\/11 + 136*z**3\/11 + 2*z**2\/11 - 130*z\/11 + 21\/11 = 0.\nAnswer: -7, -1, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 1. Suppose 2*m = 2 + 4. Suppose -2*o - m*n = -21, 4*n = o + n + 12. Calculate the highest common divisor of o and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*c = -1071*c + 829*c - 106026 for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 729942223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/1*(-5)\/(-5). Suppose z*n - 2 - 8 = 0. Suppose -n*a - 3 = -73. Calculate the greatest common factor of a and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = -10. Factor 2*q**2 + 20*q - 2*q**2 + 0*q**2 - k*q**2 - 15.\nAnswer: -5*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471*u**2 + 112 - 112 - u**2 + 4*u**2 - 6*u**2 + (-4 + 4 + 2*u**2)*(0 - 2 + 0) to q + x*u**2 + i*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 383\/3, -2, 2, 3 in ascending order.\nAnswer: -2, 2, 3, 383\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 72408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253 and 5?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 335 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.0512270989 + 0.01.\nAnswer: 11.0612270989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-54) + (-20)\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1108098*w**3 - 18*w + 24178?\nAnswer: 6648588*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 442.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**7\/42 + 5*y**6\/24 - 7*y**5\/12 + 5*y**4\/8 - 116*y**2. What is p in r(p) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2291*l - l**2 + 1170 + 1814*l + 36*l**2 = 0.\nAnswer: -117, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(-1 + (sqrt(11) - (sqrt(11) + 3)) + sqrt(11) + 0) + -3)**2.\nAnswer: -2*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(-205)*(-35)\/(-168)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23\/7 (b) 0.11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:52 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 5*a**2 + 0 - 1\/3*a**3 + 0*a + 1\/8*a**4. Is 28 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 95836 - 96126 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 915 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11001110001110000111 (base 2) to base 16\nAnswer: ce387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6550107 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5316*m**2 - 1881*m + 5329*m**2 - 3*m**3 - 11590*m**2 - 939 = 0. Calculate m.\nAnswer: -313, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 109824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1 + sqrt(1100)) + (1 + sqrt(1100))*-2)**2 + -2 + 1*sqrt(1100) + ((sqrt(1100) + 0)*-1)**2)*-2*6*2.\nAnswer: -264168 - 4560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 + 8*s**2 + 3*s - 13. Let j(u) = -6*u**3 + 7*u**2 + 2*u - 14. Let q(k) = 5*a(k) - 4*j(k). List the prime factors of q(11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddvdpddvdmkpp. Give prob of sequence vpkp.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.4. Let h = 1103 - 1107. What is the nearest to -7 in 0.3, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 - f + 5. Let p be (14 + -7)*(-4)\/(-14). What is the tens digit of s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 2877324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 476086579?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 13*i - 18*i + 13, i - 1 - 4 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.332 - -72.332. Sort -0.5, -3, j in descending order.\nAnswer: j, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25802 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 - 2*n + 10. Let u(f) = 3*f**3 + 18*f**2 + 6*f - 29. Let m(k) = -3*u(k) - 8*z(k). What is m(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 25*r + 4. Let g be k(4). Let x be 4\/8*2 - -12. What is the highest common factor of g and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32181, 1, -5, 0.5, -15, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32\/14*(-7)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24566 or -24440?\nAnswer: -24440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1266193*d**5 + 38*d**4 + 1051*d - 31276.\nAnswer: -25323860*d**3 + 456*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 13. Let i = 1 - 1. Suppose 4*l + l + 45 = i. Let h be s(l). Which is smaller: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15071 - 14990. What is the highest common factor of 27054 and a?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1472, 2933, 4394, 5855?\nAnswer: 7316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 942*v.\nAnswer: 2*v*(v - 471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*g - 1 = 3*q, -5*g = -3*q - 4. Let l = 7 + q. Calculate the highest common factor of l and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzyuuyzuyyznuuu. What is prob of picking 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**5\/60 - 5*c**4\/8 + 7*c**3\/2 + 3*c**2 - 21. Give x(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 75, 113, 151, 189, 227?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 661?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 23. Let y(v) = -2*v - 12. Let w(f) = 6*f + 34. Let z(c) = 6*w(c) + 17*y(c). What is h(z(m))?\nAnswer: -4*m - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 4, 0 = t - 3*n + 2. Suppose t = 4*z - 2*g - 5, -5*z = 5*g - 30. Solve x + z*x = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3)*5))**2 - 1*sqrt(320) - (sqrt(320) + -1 + -4).\nAnswer: -16*sqrt(5) + 26\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83\/4 - -573\/28. Let l = 19 - 35\/2. What is the second smallest value in l, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30 and (1 - 771\/689)*(2266\/330)\/103?\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128171 is divided by 41771?\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g - 7*g + 19*g + (-4*g + g + g)*(-35 - 6 - 7) + 2*g + 0 + 0)*(0 + 1 + 0) to the form d*g + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 71\/4 of a tonne?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534113 divided by -3?\nAnswer: -511371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 6, j: 9, o: 1}. Give prob of sequence ajo.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30703672 and 2104.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*((3306\/(-855))\/58)\/(37\/(-15))\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 25935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1783 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 11*q - 94. Let c(k) = -k - 4. Let s(d) = c(d) + o(d). Give s(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -7*q**4\/3 + 25*q. Let s(a) = a. Calculate c(s(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 5*w**2 - 3*w - 8. Let u = -39 + 32. Is r(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 1387 = -1457 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1204, 4910, 11116, 19822, 31028, 44734?\n\"Answer: 1250*m**2 - 44*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16*92\/276)\/(2\/4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (10 - 21)) + 10. Let u(d) = -d**2 + 20*d + 39. Let q(p) = -p**2 + 20*p + 38. Let k(z) = -6*q(z) + 5*u(z). List the prime factors of k(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -1, -2\/5, 1\/2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 156 = -3*h, -130*i = 3*h - 126*i - 117 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 12. Let q be a(-6). Suppose -q*h + 0*h = -168. Suppose -2*c + 5*d + 53 + h = 0, -3*c + 3*d = -99. What is the highest common factor of 252 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-19 - (-64 + 55 + -25) - (-73 - 0))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let a(c) = 23*c + 5 + c**2 - 9*c - 11*c. Determine -a(s) + 5*k(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.897, 0, -0.1?\nAnswer: 1.897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*g*n**2 + 2*g - 3*n**2 - 22*n wrt g.\nAnswer: -14*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/252 and 1\/4536.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + d**2 - 3*d**2)*(-2*d + 5*d - 5*d + (2 + 2*d - 2)*(-1 + 0 + 3)).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 43*q**2 - 31*q - 95. What is the tens digit of a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a factor of 799184013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-4)\/32*21. What is the biggest value in -3, 82, 2\/7, i?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 2*f**2 - 2*f + 5. Let a be r(3). Solve -3*y = y - a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -0*x - 44, -z + 25*x + 51*x = 2*z - 745 - 103 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiciciiiciii?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 47562891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14111374 (base 8) in base 13?\nAnswer: -875c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 2, e: 1, x: 3, c: 4}. What is prob of sequence eux?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*y - 10 = 0, 5*s = -4*y + y + 10. Suppose 6*z + 119 = 7*z - 5*m, 278 = s*z - 2*m. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*((sqrt(704) + ((-3 + sqrt(704))**2*4 - sqrt(704)))*5 + 2) + 0.\nAnswer: -285240 + 19200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801 and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12547 - -12546.7. Let z = 73.96 + -74. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451865 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10 + ((-12331)\/33)\/19)*-6060?\nAnswer: 2, 5, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlr when three letters picked without replacement from lqlrllqlq.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1642706 * 196.\nAnswer: 321970376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 16\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/3)\/(26\/(-364)))\/((-12)\/(-6))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -1, -3, -2, -6, 132.\nAnswer: -7, -6, -3, -2, -1, 0, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*738\/1215 + (-4)\/(-18)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (290\/(-45))\/2. What is the nearest to -2 in 3\/7, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 21. Let g(x) = x**2 - 2. Let z be g(2). What is the closest to -2\/3 in -3, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -85.3 and -1?\nAnswer: 84.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = 1. Suppose 0 = 120680*w - 120665*w + 15. Let q be 2 + 396\/(-201) - 0. What is the smallest value in n, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 6, -421 in ascending order.\nAnswer: -421, 6, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 12*j. Is j equal to 3\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*z - 353 + 21 = 12*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.919 to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056 and 255120.\nAnswer: 5612640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 q when four letters picked without replacement from {g: 7, q: 1, e: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2 - -2) + 0. Let o = 43.6 - 41.91. Let n = 1.19 - o. Which is the closest to 0? (a) 4 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 119.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6154 + -6154.00004391. Round w to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -73, 60.\nAnswer: -73, 0, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 230*h - 377. Let z be p(6). Calculate the greatest common factor of z and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -793881*u**2 - 891*u + 1782. Let c(k) = -1784*k**2 - 2*k + 4. Calculate 2673*c(m) - 6*w(m).\nAnswer: -5346*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 4 - 4 - (-32 - -30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3259, 13440, 30545, 54574, 85527, 123404?\n\"Answer: 3462*w**2 - 205*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 8:56 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 27 = -149. Let h = 112 + n. Is 14\/(-21)*h\/(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/3675*150\/(-1)*21\/(-6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0.05, 474.32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3520962 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418244?\nAnswer: 2, 3, 73, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6052*r = 6873*r - 18062 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3301 + -33104113?\nAnswer: -33100312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 28*t**2 + 20*t + 5. List the prime factors of u(-27).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-1 + 35\/15). Sort -2\/11, -3, g in ascending order.\nAnswer: -3, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -179d2d + 1?\nAnswer: -179d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.5 (c) -1\/41 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1261 + 2366. Does 65 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -53*r**8\/12 + 19*r**5\/3 + r**3\/2 - 1242*r**2. Find the third derivative of q(p) wrt p.\nAnswer: -89040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*j - 176. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 656 and 76.\nAnswer: 12464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2. Let q = -1 - -3. Let x(t) = -656*t**q + 1331*t**2 - 662*t**2. Calculate p(x(z)).\nAnswer: 1014*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -0.02\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 2809.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 519*t**2. Let m(s) = -364*s**2. Calculate m(b(r)).\nAnswer: -98047404*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2067)\/728*(-21)\/6 - 7. What is the second smallest value in -0.2, l, -5\/3, -2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/679655?\nAnswer: 3\/679655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -737 or -548?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 17b59?\nAnswer: 17b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.1, -1\/5, 0 in ascending order.\nAnswer: -23, -1\/5, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47947080 rounded to the nearest one hundred thousand?\nAnswer: -47900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 0.128\nAnswer: 0.00384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - t - 23, -4*f + 3*t - 41 - 30 = 0. Let h(l) = -l**3 - 14*l**2 - 3*l - 35. Let o be h(f). Solve -2*z - 5*j = -o, 3*z + j - 1 = 3*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*g - 416640 = -232*g. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1 - 84*n + 15*n + 0 + 0. Is 17 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(3) + -2*sqrt(3) + -2)**2.\nAnswer: 24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -281982, -282030, -282108, -282222, -282378?\n\"Answer: -h**3 - 9*h**2 - 14*h - 281958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2348, 1\/4, -0.2?\nAnswer: 2348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 7 = -25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**6\/360 + i**5\/60 - i**4\/6 - 13*i**3\/6 - 6*i. Let g(f) be the second derivative of h(f). What is g(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Suppose 0 = -r + k. Suppose -2*n = 3*j - 9, 0 = -r*j - n - 0*n + 7. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**6\/120 + r**4\/3 - 33*r**2. Let b be a(-3). Solve 20 = -4*k + b*m, -k + 0*k - 6 = -m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/29))**(4\/21)\/(a**(-4)*a)**(-42) assuming a is positive.\nAnswer: a**(-76730\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f - 9. Let q be t(-6). Let n = q - -39. Suppose 5*o - 8 = n. Calculate the greatest common divisor of o and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -25, -4, -26, 121 in decreasing order.\nAnswer: 121, 7, -1, -4, -25, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**2 + 53*z + 0 - 7\/3*z**3 + 4*z**4. What is the first derivative of r(a) wrt a?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2324 + -1204. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 15 = 5*h + 8, m = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2884 (base 10) in base 3?\nAnswer: -10221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001878362602 to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -551 (c) 44445\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d - 33*d + 59*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9\/(x*x**(-7)))**(-6\/17))**(-28\/5) assuming x is positive.\nAnswer: x**(504\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x + 6. Let a be t(5). Let y be (-4)\/(8\/a) + 3. Suppose 3*b - 13 = o, 0 = 2*o - 2*b - 4 + y. Sort o, -5, -2 in ascending order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -57*o + 3. Let q(x) = 19*x - 1. Let i(p) = -11*q(p) - 4*t(p). What is the first derivative of i(d) wrt d?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -y, -30 = -4*a - 2*y. Suppose -a*p + 33 = 4*p. Suppose 0 = 5*g - 15, 5*g - p = 2*f + 4*g. What is the nearest to -2\/7 in 2\/5, f, 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 5. Let s be r\/(-1) - 15\/(-5). Let 4\/9*m + 0 - 2\/9*m**s = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjjz when four letters picked without replacement from {p: 10, z: 4, c: 1, j: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 9*k + 6. Let s be m(-5). Does 7 divide (-374)\/(-14) - 4\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.1171s to nanoseconds.\nAnswer: 707117100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 899321*-0.6.\nAnswer: -539592.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-20)*(-6)\/((-54)\/21)*(-6105)\/(-231)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + 2 + (-49 - 41\/((-57564)\/74394))?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 627742, 626801, 625234, 623041, 620222, 616777, 612706?\n\"Answer: -313*j**2 - 2*j + 628057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1488, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z - 25. Calculate o(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-21)*s\/s**(-2\/13)*s**(-19)*s*s**(-11\/6)*s*s*s)**(-2\/61) assuming s is positive.\nAnswer: s**(-493\/2379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3640 and 17675.\nAnswer: 1838200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -k + 639, -29*j = 4*k - 24*j - 2631. Let b = 651 - k. Let a be (1 - 0)\/(4\/8). Put 1, -5, b, a in increasing order.\nAnswer: -5, b, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -20*m**5 + 13798*m**4 - 133882*m**3 - 514816*m**2 - 424320*m = 0.\nAnswer: -8\/5, -3\/2, 0, 13, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22204.421 - -22188. Round m to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2285830250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - u - 5, 5*v - 8 = -3*u - 23. Sort 5, 93, -4, v.\nAnswer: -4, v, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:52 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let w(j) = -j + 1. Let a(n) = 6*n - 12. Let k(m) = -a(m) - 12*w(m). Let c be (-17)\/(-85) - 2*76\/(-40). Give c*u(d) + k(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42874 and 225292976?\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111110101101001 + 101011?\nAnswer: 100111110110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**4 + 48 + 13 - 60 - 3*y**4 - 4*y**2 + 2*y - y**3 to m*y**2 + l*y + n*y**3 + f + u*y**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 9 = 3*q, -31 = -3*q + 5*g. Suppose 0 = -t + 2*w + 2602, 0 = -q*t - 0*t - w + 5204. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 23*p**6\/3 + p**3\/3 - 50*p**2 + 8. Find the third derivative of k(x) wrt x.\nAnswer: 2760*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 1. Let g(i) = -14*i**2 - 16. Let w(c) = -5*g(c) + 80*x(c). Let s(r) = -2*r**2. Determine w(s(b)).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 2*v**3 + v**3 - 5*v**2 - v + 3 - v**3. List the prime factors of t(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**9\/1512 + k**5\/60 + k**3 - 5. Let g(c) be the third derivative of u(c). Find the second derivative of g(o) wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.263859277 + 0.26384. What is h rounded to seven decimal places?\nAnswer: -0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55043630 is divided by 51879?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741954?\nAnswer: 2, 3, 31, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Simplify 3 + (sqrt(5) - -5*2*sqrt(5)) + 1.\nAnswer: 4 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3, 10761089?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-15))\/((-2)\/9). Solve -2 = b - p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 24?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k + 3*d = 6, 4*d = -4*k. Solve 5 = -k*b + 2*i, -i - i = 5*b + 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-5)*c))\/(c\/c**2))\/(c**6*c*c**4\/c)*(c**(-2\/5)*c*c**(-3)\/c*c)**(-47) assuming c is positive.\nAnswer: c**(489\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(80))\/sqrt(4) + -1*sqrt(20)*-4)\/(-3*sqrt(20)\/(sqrt(22)\/(2*sqrt(11)))).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20214013 (base 5) to base 14.\nAnswer: -438c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10155*t**2\/2 - 101549*t - 20 = 0. What is t?\nAnswer: -2\/10155, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/10)\/(3222\/7160*(-12)\/54)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 288\/45)\/((-51)\/(-15) - 4). Which is the fourth biggest value? (a) -76 (b) -0.1 (c) -1\/3 (d) u (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(-1)*4. Let p(s) be the third derivative of -25*s**4\/24 - s**3\/3 + s**2. Let g be p(k). What is the greatest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*n = -28, c + 3*n = -4*c + 27. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(3)*-5)\/sqrt(2).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 3:06 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*d**4 + 1235*d**4 - 1 + 159*d**4 + (-d**2 + 0*d**2 - d**2)*(d**2 - d**2 + 2*d**2) to s*d + o*d**3 + u*d**2 + x + v*d**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 88034*h + 264068. Determine s(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19754 is divided by 386.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198*s**2 - 7929*s - 7707501 wrt s.\nAnswer: -396*s - 7929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 20. Let x be o(-7). Let w(p) = p - p + p**2 + 3*p**3 - 1. Let u(t) = -t**3 - t**2 + 1. Determine x*w(j) + u(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1702 = 16*t - 694. Sort 0, t, -8 in descending order.\nAnswer: 0, -8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i**3\/i)**(-10))**(2\/29) assuming i is positive.\nAnswer: i**(-160\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 4, k: 1, r: 1, f: 1}. Give prob of picking 1 f and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303 - -914. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -3, -118, -351, -1 in descending order.\nAnswer: 1, -1, -3, -5, -118, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1864 is divided by 1864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 370583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5847934 by -23.\nAnswer: -254258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**8\/112 + k**6\/15 - 3*k**5\/4 - k**3\/6 - 11*k**2. Find the third derivative of u(x) wrt x.\nAnswer: -180*x**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r + 390. Let o be (-5)\/20 - r\/56. Factor -6\/7 + 2\/7*f + o*f**2.\nAnswer: 2*(f + 1)*(4*f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83303 divided by -7573?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13355837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8030 and 25?\nAnswer: 40150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*l + 7. Let m(y) = -2*y + 2. Let q be m(l). Solve 0*n = q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(1\/2)*q)\/q)**(-16\/5))**(3\/4) assuming q is positive.\nAnswer: q**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 541785233 and -0.14?\nAnswer: 541785233.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 86\/(-36)) + (308\/(-63))\/22?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2 - 0)*2. Let i be (0 - 0) + 16\/y. Let w be (-4)\/16*i\/(-10). Is w at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 96 = 14*f. Suppose 6 = 4*l + 2*j, -4*l + 3*j + 9 = f*j. Factor 20\/3*z**2 + 4\/3*z**l + 25\/3*z + 0.\nAnswer: z*(2*z + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/9)*(y**(-17)*y*y*y)\/y*y)**10 assuming y is positive.\nAnswer: y**(-1220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 36 + 6. Let l = k + 14. Let t(v) = 5*v - l*v + 5*v - 1 - 3*v. Let a(g) = -g + 1. Calculate -2*a(w) - t(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - 0.23. Sort n, 4, -5.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 226\/4 + (2\/4)\/(-1). Let i be -73*3*(-5)\/(-15). Let p = i - -87. What is the highest common divisor of p and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 3 - 5374*u + 5392*u to f*u + x and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1109 and 1406212?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/130 and -73\/3146?\nAnswer: 15730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5796513 tonnes in nanograms?\nAnswer: 579651300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 544383964*d**4 - 126*d**2 + 533*d - 3384.\nAnswer: 13065215136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -591*d - 155. What is the units digit of f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/8 or -4\/19?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-18))\/((-6)\/(-36)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 23 = -3*h - 2*p, -2*h - 4*p = 6. Suppose h*b - 29 = 26. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (22 + -3 - ((8 - 2) + 4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1867975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, f: 2}. What is prob of sequence yff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23201 at least as big as 8074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + v - 3)*((-1 + 1 - 2)*(-4*v**2 + v**2 + v**2) + 21*v + 16*v**2 - 21*v).\nAnswer: -20*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -187, -492, -1013, -1756, -2727?\n\"Answer: -x**3 - 102*x**2 + 8*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424176793?\nAnswer: 73, 773, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19 and 95.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30708?\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.1 or -2?\nAnswer: -18.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-24) - (-5)\/(-4). Let v(y) = y**2 - 1. Let o(z) = -2. Let k(f) = o(f) - v(f). Let d(p) = -2*p**2 - 4. Calculate t*d(x) + 4*k(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.9 + 9.93996. Let z = d + -0.04. Round z to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 21*n**2 - 421*n - 784. Give l(-33).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 3, -1, -132, 11 in ascending order.\nAnswer: -132, -3, -1, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/32 and 3\/62164.\nAnswer: 497312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1447867039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 227, 1, 31 in descending order.\nAnswer: 227, 31, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70166 divided by 1?\nAnswer: 70166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3663 times -0.49?\nAnswer: 1.159487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362222 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 702 = 4*h, 6*f - h - 549 = 2*f. Let p = f + -1792\/13. Suppose -4*r + 2 = 10. Sort r, p, 1 in increasing order.\nAnswer: r, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:54 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2613349 or -2613348?\nAnswer: -2613348","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31518 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, 0.6, -1\/11, 3 in descending order.\nAnswer: 3, 0.6, -1\/11, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60101543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(3\/30). Suppose a + 130 = n*o, 0 = 3*a - 0*a + 15. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -38*k - 156. Let n be y(-6). Calculate the highest common divisor of 792 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 275, 488, 739, 1034, 1379?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + 12121?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 748042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*u = -19 - 3, -3*u = -c + 10. What is the closest to -4 in c, 2\/41, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-3)\/(-15))\/(-1). Let z(j) = j**3 - 7*j**2 - 7*j - 6. Let b be (-18)\/(-63) - (-108)\/14. Let n be z(b). Solve n*x + 0*x - 2 = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 134 = -29. Let r = f - -43. What is the highest common divisor of r and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 6. Let m(j) = j + 13. Calculate -2*m(h) - 5*s(h).\nAnswer: 3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 430815001 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5, -x + 4*a - 6 - 7 = 0. Solve 5*q - 18 = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (14 - (12 - -10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 v when four letters picked without replacement from soqsooosqqqqoovoqo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581599786.\nAnswer: 2, 79, 181, 160207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 331 + -6. Let q = -336787011 - -336787335.9999851. Let a = q - p. What is a rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -29?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elhhwekf. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/38 + (-7642)\/36. Let d = x - -212. Let l = 6 - 5.6. Which is the second smallest value? (a) d (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 115 + 60 + 58. Let l be 2*(3\/2 - 4). Let q(y) = 9*y + 7. Let v(h) = l*w(h) + 2*q(h). Calculate v(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 50 + (-26 - 43 - 20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2019, -4032, -6045?\nAnswer: -8058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1869*h + 5 = 1868*h, -m = -4*h - 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y - 3. Suppose -j - 200 + 613 = 2*i, -4*i + 805 = -5*j. Let p = i + -202. Calculate l(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*5*((sqrt(304) - (-3 + -1 + sqrt(304))) + 3)*1*1)**2.\nAnswer: 490000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 2060617.\nAnswer: 2060618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20925299.3 and 0.2?\nAnswer: 20925299.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144791 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 - 2 = 0. Let c = d + -8. What is the second smallest value in c, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 4 + -10 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 336355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -48, -60, -70, -78, -84, -88?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8 + (-30)\/5 - (-344)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (31 + -24)*(-1)\/(2\/(-1034))?\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 + 7*m**2 - 58*m - 7. Let x(h) = 2*h**3 + 3*h**2 - 29*h - 3. What is -3*r(u) + 7*x(u)?\nAnswer: 2*u**3 - 29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 + 44 = 3*m + 12*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -576, -988, -1394, -1794?\n\"Answer: 3*v**2 - 421*v - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 3*w)*(2443 - 1492 + 2285).\nAnswer: -3236*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2300 - 13417 = 803*b + 21261 + 3172 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.173917m?\nAnswer: 1173917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22421)\/(-154))\/((-1)\/(-2)). Let x = 291 - g. Which is the biggest value? (a) 0 (b) -3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 - -5.34. Let b = 4 - s. What is the nearest to -1 in 0, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2856481um in meters?\nAnswer: 0.0000002856481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*31\/(21483\/(-28)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**2 - 24*f + 122. Let a be k(6). Let n = 424 + a. Solve -n = -5*l - 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:40 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*y, 0 = y - 3*h + 2 + 2. Let x(i) = 28*i + 6. Let o(d) = -14*d - 3. Let k(f) = y*x(f) + 5*o(f). Let q be k(-2). Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17904 - -347.36904. Round y to the nearest integer.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 < 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52574122?\nAnswer: 2, 43, 379, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 4*i - 13*i to n*i + j and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-60)\/50)\/(75\/325).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/2898)\/((-4)\/579) + 1 + -10\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1886 + 497*u + 328*u**2 - 537 - 666*u**2 + 335*u**2 wrt u.\nAnswer: -6*u + 497","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33*(-12)\/(1*-2). Let x(b) = 2*b**3 + b. Suppose 2*l + 3*h - h + 6 = 0, -4*l = -4*h - 28. Let g be x(l). Calculate the highest common factor of g and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -4879869\nAnswer: -9759738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.957 - -0.043. Let k = o + -42. Let z = -1.9 - k. Is z bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3)*-6 - (sqrt(17) + -3 + -2).\nAnswer: -7*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 2*r**4 - 2*r**4 + (-4*r + r**3 + 4*r)*(r**2 - 4*r**2 + r**2).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -14, 0, -1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 = -3*f, 4 - 44 = 5*n + 5*f. Let x(h) = -2*h - 5. Determine x(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62.029 and -671.\nAnswer: -608.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208704347 is divided by 2050.\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150462865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**8\/16 + 8*a**7\/35 + 3*a**6\/40 - 4*a**5\/5 + a**4\/2 - 4*a**2 + 76*a. Let w(t) = 0. Calculate t.\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1798 and 7344086?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 22280?\nAnswer: 445600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 28. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/12633 and 83\/594.\nAnswer: 2501334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x - 103. What is z(11)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -57*u + 95 - 26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 49*f**2 - 254*f - 11. Give c(6).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20793 - -20796. Is n bigger than -3495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 13. Let u be a(9). Let r = u + -33. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*a. Suppose 0 = -k - a*b - b + 17, -3*k + 27 = -5*b. What is the units digit of (-7)\/k*(-1 - 17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 772 - 37. Let a = c + 292. Let s = -93 + a. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -8. Suppose -g - o = -3*k, 2*k + 5*g = -2*k + 20. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqhh when four letters picked without replacement from {h: 4, j: 2, q: 5, i: 4, r: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378.298903 rounded to 0 decimal places?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15190 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 5*y + 6. Let j = 19 - -3. Suppose t = -2*w + 4*t + 22, -j = -2*w + t. What is the remainder when w is divided by n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 125 + 30 - 4*g - 131)*(-3*g**3 - g**3 + 9*g**3).\nAnswer: -5*g**5 - 20*g**4 + 120*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 23*c - 10*c - 10*c)*(-29*c + 7*c - 6*c) + 2*c**2 - 5*c**2 + 5*c**2 + 0*c**2 + c**2 + c**2.\nAnswer: -80*c**2 + 392*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3139 + 3138. Let z = -821\/9 - -91. Let f = -64 + 68. What is the nearest to p in z, 0.5, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -330077\nAnswer: 1\/330077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - -4) - (-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -14.52?\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/20 and 113\/39680.\nAnswer: 39680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2. Let f(i) = i**2 + i + 2. Let z be f(m). Suppose z*a - 521 = -133. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157723 - 169?\nAnswer: 157554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*d = -304, 3*q = -2*d + 3*d + 307. Suppose w + 2*u - 14 - 9 = 0, -3*w = -5*u - q. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/98)\/(7\/28). Which is the closest to -1\/4? (a) -2\/3 (b) 0 (c) -4\/11 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/7214 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-15 - 0 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n + 104*n = 25. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3003030101 + 132?\nAnswer: -3003023303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -1 - (-1 + 6). Suppose 4*z + 344 = -5*k, 4*k = f*z + 88 + 110. Let d = 96 + z. Solve x + 4*v = 2*x + 7, 0 = -d*x - 4*v + 37 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.00634 and 3025?\nAnswer: 3025.00634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 13 (c) 0 (d) -1\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122212201 (base 4) in base 16?\nAnswer: 1a9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38783 smaller than 38811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x + 69. Calculate z(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 192*j\/5 - 38.\nAnswer: -2*(j + 1)*(j + 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-38))\/((-10440)\/(-13680)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1101211?\nAnswer: 1101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 395170 and 353361014.\nAnswer: 1766805070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4388207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3703?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d = 575076 - 572628 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -13. Let v = -2136 + 2136.3. Put 2\/3, z, v in ascending order.\nAnswer: z, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = t + 9, -3*t + 2*t = 5*r + 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 9, 9, 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 4740441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 6. Calculate the highest common factor of n and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.2. Let l = 325530 - 325527. What is the closest to 1 in m, 2\/23, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27.85466 milligrams?\nAnswer: 0.02785466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**3\/3 - y**2\/2 - 6*y - 70. Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 0*s**2 + 0*s**2 - 2*s**2 - 1 + 5*s**3 to the form f*s + w + v*s**2 + o*s**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 + 131. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -546235\/33982 + -7\/2614. Let k = y + 3019\/208. What is the common denominator of -67\/2 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 2*p**3\/3 + 7*p**2\/2 + 37*p. Let k be (-141)\/(-15) - (-2)\/(-5). Is i(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 5)*(-2*d - 4*d + 5*d)*(d**2 + 2*d**2 - d**2) to c*d**3 + x*d**2 + m + g*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 + 0.05. Let p be 1 - (((-50)\/(-100))\/(1\/(-8)) + 9). Sort 6, p, x, 3 in descending order.\nAnswer: 6, 3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514110.\nAnswer: 2, 3, 5, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3210 + -27a?\nAnswer: 2a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 108129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 17*s + 5. Let j(f) = -9*f - 2. Give -10*j(w) - 4*z(w).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let b be 1 - (5\/(10\/(-4)) + 3). Give l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 61*g**2. Let d(i) = -6*i**2 - 207863*i. Determine d(x(n)).\nAnswer: -22326*n**4 - 12679643*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z**3 + 44*z**3 - 97*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 71 - 99. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) - (sqrt(153) - sqrt(153)*-2)) + sqrt(153))\/(sqrt(729) + (sqrt(729) + (sqrt(729) + (sqrt(729) - sqrt(729)*-4) - sqrt(729)) - sqrt(729))).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.125? (a) -0.5 (b) 1 (c) 5 (d) 1\/2 (e) -285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 - 4)*(-1 + 2*z + 1) - 2*z + z + 0*z)*(0*z - 2*z + 4*z).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3629690 rounded to the nearest 10000?\nAnswer: -3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28791959, -28791957, -28791955, -28791953, -28791951, -28791949?\nAnswer: -28791947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15984 + 23410. Is u a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 * -2896\nAnswer: 63.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -11*u - 114 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 64*x**5\/35 - 72*x**4\/7 + 108*x**3\/7 - 8*x**2 + 12*x\/7 - 34. Determine p, given that j(p) = 0.\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2259 + 2262. Let k(g) be the first derivative of -10 - 4*g - 2*g**2 + 1\/3*g**o. Determine k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 465 + -457. Solve 6*v + j = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yypy when four letters picked without replacement from {y: 12, p: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 35940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 + 5 + -4 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + i + 40715 = 0, 4*y + 102 - 40826 = 4*i. What is the greatest common factor of 42 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (8\/(-60) + (-348)\/(-1260)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let b = -7627\/22 - -350. What is the common denominator of b and -55\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -39*q + 1242. Let p be x(32). Let c = 6 - 8. Put 0, p, 4, c in decreasing order.\nAnswer: 4, 0, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62812465 and 2150.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/2*(-210)\/14. Let g(y) = -y**3 - 49*y**2 - 153*y - 315. Let i be g(-46). Calculate the highest common divisor of i and h.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113294 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22267, -18470, -14673?\nAnswer: -10876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -19. Suppose 10*j - 28 - 12 = s. Solve -j*q + 2 + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 24 = 4. Let m = 100 + -100. What is the second smallest value in s, -3, m, 15.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 12831.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 9. Give t(163).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -69*s - 12089. Give u(-175).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*j**4 + 7807*j**3 + 3*j**2 + 308830 wrt j?\nAnswer: 92*j**3 + 23421*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -201012 (base 4) to base 6\nAnswer: -13450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/36*-4 - 370\/(-45). Solve 3*i - 5 = -y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 + -51. Suppose w = 5*v - 82. Let b = 5 + v. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1739 or 1733?\nAnswer: 1739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -233?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 = 18*d - 22*d. What is the remainder when d is divided by 133?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15016 take away 8274517352?\nAnswer: -8274532368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, j: 1, t: 4}. What is prob of picking 3 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, e: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y. Let p be o(-3). Is (6\/2)\/(-1 + p\/17) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95548\/5 + -2273567\/120. Let g = d - 496\/3. Let i = -25527\/8 + 3202. What is the common denominator of g and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315618 (base 10) to base 14\nAnswer: -83042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*y - 91. Let j(p) = -p**3 - 11*p**2 + 14*p - 14. What is the hundreds digit of j(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1155\/(-14)*10560\/18. What is b rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - -2.1. Let o = 2 + v. What is the nearest to -1\/11 in -0.3, o, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824473513 + 824473513 + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 16*j - 32. What is the remainder when 77 is divided by r(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6371157 is divided by 6371154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-76)\/6)\/((-8)\/12). Suppose -4*n - o = 13. Is 5\/((n\/(-6))\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -3736, 4\/3, 0.2 in descending order.\nAnswer: 1.7, 4\/3, 0.2, -3736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1680 + -1680.090018. Let r = 2.3 + -2.39. Let y = i - r. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-91)\/(-104)*2\/(-7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8839401?\nAnswer: -1\/2946467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231 + 40*k + 31 - 38*k)*((-k**2 + 0*k**2 + 3*k**2)*(-2 + 0 + 1) + (-1 + 1 + k**2)*(-2 + 0 + 4) - 4*k**2 + 2*k**2 + 4*k**2).\nAnswer: 4*k**3 + 524*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1976*x**3 - 8612*x**3 + 554*x**3.\nAnswer: -6082*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5312228.\nAnswer: 2, 17, 78121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30170*u**6 - 21*u**3 + 185*u**2 - u + 270?\nAnswer: -3620400*u**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:31 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -37. Put 2\/3, 1, b, -1 in descending order.\nAnswer: b, 1, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 81 = -21. What is the greatest common divisor of s and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*2)\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 - 1143395*s**2 + 5717100*s = 0?\nAnswer: -228684, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085205753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + (sqrt(252)*1 - sqrt(252)))**2 + (sqrt(252) - (0 + sqrt(252) + 1 + sqrt(252) - sqrt(252))**2)).\nAnswer: -1245 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3014\/(-411))\/(2\/3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - i + 8 = -7*v, 4*i + 8 = -4*v. Let t be (-2275)\/182*v\/(-5). Sort 9, t, -4 in descending order.\nAnswer: 9, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010001 - 110010?\nAnswer: 1110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1848 + 4833. What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.568. Let j = 0.16800069 + g. Round j to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -z, -2*z = 5*i - 7*z. Suppose -9*f + 22*f - 585 = i. Calculate the lowest common multiple of 18 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o - 9*o + o**2 + 6*o**2. Let t(m) = 2*m**2. Determine t(n(p)).\nAnswer: 98*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/19*u + 2\/19*u**3 - 4\/19 - 6\/19*u**2 + 2\/19*u**4.\nAnswer: 2*(u - 2)*(u + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6324 divided by -6?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j - 10. Let a be j\/5 - (-336)\/(-40). Let c be (12\/a)\/3*-8. Sort c, 3, -2.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(6\/(-45)). Suppose -3*u + 127 = r, 0 = -3*r - p*u + 126 + 255. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 199280 and 344040?\nAnswer: 36468240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15748*c + 4 = -15747*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 345\/690*(3\/(-14))\/((42\/(-576))\/(-7))\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265047.\nAnswer: 3, 17, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9230332 centuries in millennia?\nAnswer: 0.09230332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-291*774\/(-1013553))\/((-4)\/1314)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/32984 and 75\/5852?\nAnswer: 362824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(119)*1 - 2*2*sqrt(119))*-5)\/((sqrt(56) + sqrt(1400)*-4)\/(sqrt(128)\/sqrt(4))).\nAnswer: -60*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 - 6*w + 3. Let z(t) = -t - 3. Let x be z(4). What is y(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182015 by -5.\nAnswer: 36403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85644587 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -26, -38, -54, -74, -98?\n\"Answer: -2*w**2 - 2*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14080 and 385.\nAnswer: 98560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 49*n**4\/12 - n**3\/6 + 3*n**2 - 5*n - 26. Let f(b) be the first derivative of w(b). Is f(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 25 = -4*l. Suppose 4*u - 20 = -l*y, 3*u - 5*y + 10 = -10. Let z(w) = -w - 5 - 3 + 4 - 2. Determine z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**3 + 25*k**2 + 41*k - 38. Determine z(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 154 divided by 14\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4637*s - 23216. Determine l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x**3 - 1 + 13*x**2 - x + x - 13. Let r(v) = -7*v**3 - 6*v**2 + 7. Let p(q) = -6*l(q) - 13*r(q). What is the first derivative of p(f) wrt f?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 29*r - 3. Let v be l(-5). Let t be 6\/(-42) - v\/7. What is the highest common divisor of t and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*p - 92*p - 140. Let j be (-260)\/p - (0 - -8). Solve q = -0*y + 4*y - 21, -3*y - 13 = j*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 309364064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67, -396, -1215, -2746, -5211, -8832?\n\"Answer: -37*r**3 - 23*r**2 - r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 1\/17 (c) 52.345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 20 = 8*q, -2*w = -1913*q + 1918*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1084\/12 + (-4)\/(-6). Let o = -88 + i. Determine k so that 4\/11*k**2 - 6\/11*k**o - 4\/11 + 6\/11*k = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 + 9 - (13 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272) - sqrt(272))*2*2.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1 + sqrt(77) + sqrt(77))*2 + sqrt(77))\/(3*sqrt(1008)).\nAnswer: 7*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*n - 27. Let z be 90\/(-12)*(-6)\/n. Suppose -5*w - 5*f + 205 = 0, 0 = 2*w - 3*f + z - 71. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.695285 months to millennia.\nAnswer: 0.00239127375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22133 and 0.2.\nAnswer: 4426.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220809761.\nAnswer: 173, 1276357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 108 = -0*j - 20*j. Solve -4*t - 3*v = 25, j*t - 8*t - v = 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10112811?\nAnswer: 3, 3370937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - -11. Let t = 9 - z. What is the tens digit of t\/138 - (-1178)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 29. Let a = p - -2.3. Let f = 0.3 - 0.2. What is the nearest to f in -1, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 3*h + 2. Let n be j(4). Let v = -2 + n. Let y be v\/12*0*1. Solve 0 = -5*m + 5*r - 40, -5*r = 5*m - y*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 4 = v. Suppose m - v = k, 0 = 4*m - 0*k + 4*k - 44. Suppose -5*n + 34 = -m. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 111 = -3*k + 152, -437 = -5*k + 2*f. Let r = k + -86. Find t such that -4\/3*t + 0 - 8\/3*t**2 - 4\/3*t**r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-5))\/2 + (-110194)\/(-85). Round b to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6671001439*x**2 + 12*x + 6671001823*x**2 - 12*x.\nAnswer: 384*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-15 + -4) - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - t**3 - t**3 + (t**2 - 4*t**2 + 17*t**2)*(0 + 0 - t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14192 + -162616266.\nAnswer: -162616265.85808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/7191?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 289?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttfcctcccv. What is prob of sequence tcct?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-839)\/(-2)*(-87)\/(-9). Suppose 14*c = -6*c - 67586 - 13334. Let m = t + c. Find the common denominator of 48 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = f, 2*f - 4*a = 4 + 10. Suppose f*q + 7 = 4*q. Let k = q - -7. Solve -5*n + n = -16, -3*b + n - 16 = k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.9, 0.2, 2\/47, 0, 3?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 - 835*s**2 + 13*s + 82 + 479*s**2 in the form x + h*s**2 + t*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1796 divide 25900034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13070829 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u - 51. Let b be w(-4). Let a be ((-1078)\/(-77))\/(b\/2). Sort 4, 0, a in decreasing order.\nAnswer: a, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -343, -777, -1385, -2167?\n\"Answer: -87*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-9)\/(-54)). Let m be ((-254)\/8 - v\/12) + 3. Let z be (24\/m)\/(-6) + 26\/(-84). Put z, 1\/3, 0.2 in descending order.\nAnswer: 1\/3, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 5 + 0 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-9)\/5)\/((165\/(-50))\/33).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 471 - 362. Let c(h) = 4*h**3 + 5*h**2 - 6. Let q be c(3). What is the greatest common factor of j and q?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r - 4*r + 2*r**3 + 12*r)*(3 + 0 - 2) in the form c*r + x + w*r**2 + o*r**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - ((sqrt(104) - -2*sqrt(104) - sqrt(104)) + sqrt(104)))*3*-5*-4)\/((sqrt(168)\/(sqrt(56)\/sqrt(8)))\/sqrt(3)*1).\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 244934860?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 15 = 6*d + x, 0 = 5*d + 5*x - 50. Let z = -12 + 17. Suppose 2*k - 7 = 5*r, -z*r = 4*k - 3*k + 4. Put k, 0, d in descending order.\nAnswer: d, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 10*u. Let b be p(-7). Suppose -2*t - t + b = 0. Suppose -4*o - t + 91 = 0. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w + 9*w - 2 - 20*w. Let u be g(4). Find the common denominator of 4\/((-20)\/(-3)) + u and 20\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16741125 and 2760.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5056517176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010010 (base 2) in base 9?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303130 (base 4) in base 12?\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u + 8. Solve -12 = 2*r - 3*z + z, 5*r - u = -3*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 5*p + 16 + 9, p = 3*h - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 2050 - 685*r**3 - 2050 - 203*r**3.\nAnswer: -888*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(555\/(-1480)*(-576)\/330).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5\/2, -58, 1, 4, -385 in descending order.\nAnswer: 4, 5\/2, 1, -0.3, -58, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4422550 rounded to the nearest ten thousand?\nAnswer: 4420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - k + 31 + 85 + 0*k.\nAnswer: -k + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -101 + -5 + 5. What is the lowest common multiple of 8 and 410\/14 - (-28)\/v?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87681 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 2553?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-5)\/(-2)). Let u = -44 - 117. Let y = u + 161. Sort 4, 1, y, b in decreasing order.\nAnswer: 4, 1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*c - 2*t, 0 = 2*c - 5*t - 159 + 171 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7468.118412 - -7595.11841281. Let g = b + -127. Round g to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2377687*v**4 - 6616968?\nAnswer: 9510748*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18 = 4*u + 6, u = -2*h + 48. Suppose -3*x + 3*b + 114 = -h, 5*b - 200 = -5*x. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x, b + 2*x = 3*x + 1. Suppose b*v + h - 3*h - 14 = 0, 4*h + 21 = 3*v. Solve -v*l = -2*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-1)\/(-9))\/((-2)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h + 1. Calculate the remainder when 48 is divided by k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/540*16)\/((-16)\/(-12))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1 - (37 - 35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(-21 - -31). Sort -4, d, 17, 4.\nAnswer: -4, 4, d, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4981 + 4981 + 20*a**3 - 115*a**3.\nAnswer: -95*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -108446400 divided by 66450\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*-4*sqrt(1216)*-1 - (sqrt(1216)*2 + 5 - sqrt(1216) - sqrt(1216))*-6) + -2)**2 + 1)*4.\nAnswer: -28672*sqrt(19) + 1248324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 165\/4. Let g = -4 - 0. Let s = -5 - g. Is l >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 10*c - 2. Let k be (-4)\/(-16) - (-99)\/(-12). Let h be i(k). Calculate the greatest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 + 6 - 6)*(-8*u + 9*u - 11*u) - u**3 - 5 + 2*u**3 + 6.\nAnswer: -79*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 1084, 1.1, 4\/11?\nAnswer: 1084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-45)\/6*(-8)\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**6*g*g*g)\/g)\/(((g*g**5)\/g)\/g*g*g))\/(g**(3\/5)*g**(-3\/4)) assuming g is positive.\nAnswer: g**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -56340120 (base 7) to base 10\nAnswer: -4883697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -a9a3a?\nAnswer: a9a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1252 + -1250. Let k = 4.2 + 0.8. Which is the fourth smallest value? (a) l (b) -1 (c) 2\/17 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420942 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 15 + 9 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 55.17 + -0.02726\nAnswer: 55.14274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2838 + 3448. What are the prime factors of q?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u\/u**(-2\/11)*u)\/(u\/u**4)*(u**4)**(-49))**(-36))**32 assuming u is positive.\nAnswer: u**(2392704\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 126. Put -5, -1\/3, l, -26 in decreasing order.\nAnswer: l, -1\/3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 51 = -4*y, 3*a - 3*y - 219 = -237 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28*3\/(-30)*(-34)\/(-68)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w + w**2 + 0*w)*(-w - 3*w + 2*w) + 2*w**3 + 0*w**3 - 3*w**3 + (58*w**2 - 17*w**2 - 20*w**2)*(-5 + 2*w + 5))*(-3*w**2 + 6*w**2 + 0*w**2 + 2*w).\nAnswer: 117*w**5 + 78*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 0.3 (d) -1\/2 (e) -579 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + x - 37. Let j(v) = -3*v**2 + 45. What is -3*j(q) - 2*k(q)?\nAnswer: -q**2 - 2*q - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 267140543, 267140546, 267140549?\n\"Answer: 3*m + 267140540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(70)*-2)\/(sqrt(1210)*1 + sqrt(10) + sqrt(10)) + 1 + ((sqrt(28) - sqrt(7))*-6 - (-3 + 2*sqrt(7))))**2.\nAnswer: -768*sqrt(7)\/13 + 67216\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 - 5*y - 5. What is b(-3)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13001220232 (base 5) to base 10\nAnswer: -15648192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390*(-267)\/173550)\/(1\/80).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668824?\nAnswer: 2, 13, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3314122 (base 5) to base 12\nAnswer: 29284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1041, -1040, -1039?\n\"Answer: c - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2038954 by 9353.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 122, 403, 954, 1865?\n\"Answer: 15*h**3 - 4*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(234) - sqrt(26)))\/sqrt(2).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-3)\/sqrt(4) - sqrt(17))*-4.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972424 is divided by 2431?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000010010011000 (base 2) to base 6.\nAnswer: -3311544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 7, -4, 2\/5, 1113, 5, -2\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.314375817 to 4 decimal places.\nAnswer: -0.3144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 10*f**2 + 5*f - 17. Is v(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1281 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -334 + 125. Let j = x + 342. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*a, -4*a - 41 = -s - 0*a. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2597 is divided by 561?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -1)\/((11\/6)\/(-11)). Let f = 914 + -650. Calculate the greatest common factor of f and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p = 3*b - 308, 0 = 3*p + 3. Suppose -173*g + 13356 = 79*g. Calculate the remainder when b is divided by g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a99 (base 12) in base 13?\nAnswer: -92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 10*t**2 - 17*t - 2. Let a be v(7). Differentiate -10 - 2 + 2*q**2 - a with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*c + 0 = 8, 0 = 5*d - c - 2. Let q(n) = 2*n - 6. Let a be q(d). Let u(f) = -17*f**2 - 9*f + 9. Let t(h) = -4*h**2 - 2*h + 2. Give a*u(j) + 26*t(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -77 times -39\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148751.\nAnswer: 19, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -1.6. Let u be 38\/14 + 8\/28. Sort -2, m, u in decreasing order.\nAnswer: u, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6*z + 7)*(0 + 3 - 2) + (-10 - 3 + 8)*(-z - 1 + 1).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2729413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 h when three letters picked without replacement from mgdhgldgddmdmm.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13877472 equal to -13877463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/(-41503)*-7)\/(((-9)\/7)\/(-3))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -1 - (-2 + -13 + 15 + 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuv when three letters picked without replacement from {g: 5, v: 3, a: 2, q: 7, u: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 510\/11?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.2, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66314.58 days in hours?\nAnswer: 1591549.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 17 = 4*i, 2*i = 4*k + 4*i - 16. Let u be -1 - (1 + 1*-2). Solve -k*d = -u*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916756133 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 615612130 to the power of 1\/4, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 - 117. Let d be 850\/221 - c\/(-26). Put -3, -6, d in descending order.\nAnswer: d, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3549, -1\/7, 5\/9, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 11*q + 5934 = -6*q - 123*q for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356148590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -x - 10, 3*z = -z + 4*x. Suppose -z*q - 3*g + 1462 = 0, -3*q - q - g + 1171 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14978546 divided by 97\nAnswer: 154418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168244161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279768043 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 prob of picking 1 i, 2 z, and 1 s when four letters picked without replacement from {z: 3, w: 1, p: 1, s: 5, i: 1, r: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -603 + 1019. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 1, -1\/5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108371*t - 108261*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-2 - (-16 - -12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -445929010?\nAnswer: 445929015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4\/((g\/(g*g*g**(2\/7)*g))\/g*g*g*g)*(g*g**(2\/19))\/g**(-3\/5) assuming g is positive.\nAnswer: g**(3984\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 0, -1.61 in descending order.\nAnswer: 4, 0, -1.61, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**17*n**(8\/9)*n\/(n*n*n**(4\/17)\/n)*n\/((n\/n**(-14))\/n) assuming n is positive.\nAnswer: n**(865\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -0.05. Let b = q - 3.94. What is the smallest value in b, -3\/2, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(1 + (-4053)\/(-6) - 5). Let l = -804 - o. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*k**2 - 1092*k**2 + 1540*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1889 * -1.2\nAnswer: -2266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 5289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5221873145?\nAnswer: 5, 3877, 269377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose 9*g - 22 = 230. Suppose a = -i + 3*r + r + g, -40 = -2*i + 4*r. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14*n + 12*n**2 - 22*n - 41 + 12*n - n**3. Calculate the remainder when 32 is divided by i(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 10. Which is the closest to 0.1? (a) 1\/2 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16902.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -48*h + 17. Let j be a(-4). What is the highest common divisor of 55 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - 72. Suppose 0 = h + k*l - 1, l - 8 = 5*h - 4*h. Sort h, 1, 10 in descending order.\nAnswer: 10, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.183086 kilometers to micrometers.\nAnswer: 9183086000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*i + 407, 5*i = o + 2*o - 1281. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146.9000000454 + -146.9. Round y to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e (base 16) in base 6?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = p, -5 = 5*q + 2*p - 0. Let c = 82144 + -82141. Let z = 278\/9 + -31. What is the smallest value in q, z, c, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 4*i + 3. Let d be v(-3). Let b(k) = 13*k**2 + 2*k. Let q be b(4). What is the highest common factor of d and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -14480\nAnswer: 1\/14480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107 - -124) + 0 + -17 - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 41b?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*9\/72 - -1*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 9139*m**3\/3 + 9*m**2\/2 + 382*m - 6975. Find the second derivative of c(y) wrt y.\nAnswer: 18278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1) + 1)*(44 + (-4573)\/102)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*((-477)\/(-81) - 6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -48521.54.\nAnswer: 19408.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 - 187008*n - 748096 = 0.\nAnswer: -4, 46756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11456348351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4880 is divided by 305.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:31 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - n + 5. Let k be p(0). Let r = 520.7 + -524.7. Which is the third smallest value? (a) r (b) k (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -1867?\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Let f = -2 + 8. Let r be (-14 - -10)*f\/(-8). What is the smallest value in r, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 25*h**2 + 47*h - 231. List the prime factors of i(-19).\nAnswer: 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3)*-1 - (sqrt(3) + -2 + -1))**2 + (2*(sqrt(300) + (sqrt(300) + 0)*-2))**2)*-3*-6.\nAnswer: 21762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/2 - 21*k**3\/2 + 51*k**2\/2 - 51*k\/2 + 9.\nAnswer: 3*(k - 3)*(k - 2)*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*b - 1068 + 24308, 0 = -3*i - 4*b + 17455. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*h + 121 = -39, 4 = -h. Suppose 0 = y + 5*y - o. Suppose -m = m - y. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 + 7*u**5\/60 + 7*u**4\/24 - 3*u**2. Let f(v) = -v + 13. Let l be f(11). Suppose -l*n + 7*n + 30 = 0. Calculate x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 - 5*k**2 + 6*k - 3. Suppose -4*g + 2*l = -0*g + 26, -6 = -2*l. What is the hundreds digit of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*d + 14, -5*a - 15*d = -19*d - 26. Let g(x) = -x**3 + 8*x**2 - x - 1. Let m be g(6). What is the common denominator of 19\/4 and 4\/(-16)*m\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i**2 + 9*i + 11. Let l(o) = 7*o**2 - 4*o - 5. What is -9*l(f) - 4*r(f)?\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 91*k**2 - 21*k + 22. Let j(c) = -23*c**2 + 5*c - 5. What is 9*j(f) + 2*n(f)?\nAnswer: -25*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/((-2)\/12). Let h(y) = y**3 - 3*y**2 - y - 7. Let b be h(q). What is the units digit of b*(-4)\/8*(-14 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1649? (a) 35 (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 15372444?\nAnswer: 76862220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -0.2. Let t be (18\/(-10) + 2)*(-12 + (-38)\/(-4)). Let l be (-3)\/(-3) - 11\/10. Which is the nearest to x? (a) l (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {j: 6, u: 2, s: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}